MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance pedigree_sp_top4_300
Optimize selection of a fixed-size breeding population under a relatedness constraint
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | -23707.35806000 (ANTIGONE) -23176.19002000 (BARON) -23807.83091000 (COUENNE) -23176.19000000 (CPLEX) -23176.19000000 (GUROBI) -23176.19000000 (LINDO) -23176.19000000 (SCIP) -23233.27432000 (SHOT) |
Referencesⓘ | Mullin, Tim J. and Belotti, Pietro, Using branch-and-bound algorithms to optimize selection of a fixed-size breeding population under a relatedness constraint, Tree Genetics & Genomes, 12, 2015, 4. |
Sourceⓘ | QPLIB instance 10009, contributed by Pietro Belotti, https://datadryad.org/resource/doi:10.5061/dryad.4r1f0 |
Applicationⓘ | Breeding |
Added to libraryⓘ | 18 Aug 2018 |
Problem typeⓘ | MBQCP |
#Variablesⓘ | 605 |
#Binary Variablesⓘ | 473 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 605 |
#Nonlinear Binary Variablesⓘ | 473 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 473 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 246 |
#Linear Constraintsⓘ | 245 |
#Quadratic Constraintsⓘ | 1 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | convex |
#Nonzeros in Jacobianⓘ | 1566 |
#Nonlinear Nonzeros in Jacobianⓘ | 605 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 12205 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 605 |
#Blocks in Hessian of Lagrangianⓘ | 193 |
Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
Maximal blocksize in Hessian of Lagrangianⓘ | 349 |
Average blocksize in Hessian of Lagrangianⓘ | 3.134715 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 5.0000e-01 |
Maximal coefficientⓘ | 6.9072e+02 |
Infeasibility of initial pointⓘ | 50 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 247 2 244 1 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 606 133 473 0 0 0 0 0 * FX 132 * * Nonzero counts * Total const NL DLL * 2040 1435 605 0 * * Solve m using MIQCP minimizing 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,b102 ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115 ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128 ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141 ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154 ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167 ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180 ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193 ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206 ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219 ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232 ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245 ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258 ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271 ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284 ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297 ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310 ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323 ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336 ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349 ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362 ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375 ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388 ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401 ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414 ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427 ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440 ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453 ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466 ,b467,b468,b469,b470,b471,b472,b473,b474,x475,x476,x477,x478,x479 ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492 ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505 ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518 ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531 ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544 ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557 ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570 ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583 ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596 ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606; 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,b102 ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115 ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128 ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141 ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154 ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167 ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180 ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193 ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206 ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219 ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232 ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245 ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258 ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271 ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284 ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297 ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310 ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323 ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336 ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349 ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362 ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375 ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388 ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401 ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414 ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427 ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440 ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453 ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466 ,b467,b468,b469,b470,b471,b472,b473,b474; 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; e1.. objvar + 137.73*b2 + 196.73*b3 + 120.22*b4 + 417.92*b5 + 200.82*b6 + 162.5*b7 + 162.65*b8 + 179.47*b9 + 110.3*b10 + 235.64*b11 + 183.97*b12 + 198.58*b13 + 257.31*b14 + 302.88*b15 + 267.93*b16 + 156.75*b17 + 405.16*b18 + 245.93*b19 + 109.24*b20 + 171.4*b21 + 212.91*b22 + 155.66*b23 + 246.71*b24 + 131.3*b25 + 197.36*b26 + 209.67*b27 + 113.46*b28 + 243.86*b29 + 257.51*b30 + 228.84*b31 + 223.53*b32 + 332.82*b33 + 130.27*b34 + 219.72*b35 + 507.81*b36 + 371.17*b37 + 173.26*b38 + 239.32*b39 + 214.33*b40 + 128.05*b41 + 110.83*b42 + 114.82*b43 + 182.26*b44 + 348.89*b45 + 355.55*b46 + 368.04*b47 + 362.49*b48 + 376.86*b49 + 439.44*b50 + 432.17*b51 + 382.38*b52 + 374.59*b53 + 344.56*b54 + 343.24*b55 + 339.38*b56 + 333.55*b57 + 398.36*b58 + 403.09*b59 + 395.46*b60 + 432.48*b61 + 358.69*b62 + 443.01*b63 + 313.3*b64 + 323.68*b65 + 445.6*b66 + 364.21*b67 + 371.06*b68 + 306.51*b69 + 315.8*b70 + 390.72*b71 + 309.16*b72 + 361.58*b73 + 302.76*b74 + 302.73*b75 + 350.56*b76 + 347.69*b77 + 301.28*b78 + 308.45*b79 + 305.83*b80 + 305.6*b81 + 260.95*b82 + 301.08*b83 + 100.9*b84 + 182.47*b85 + 274.02*b86 + 118.98*b87 + 167.55*b88 + 168.54*b89 + 309.6*b90 + 301.43*b91 + 307.63*b92 + 349*b93 + 345.92*b94 + 307.05*b95 + 336.93*b96 + 312.79*b97 + 344.98*b98 + 352.25*b99 + 353.73*b100 + 409.07*b101 + 413.63*b102 + 346.7*b103 + 383.68*b104 + 311.28*b105 + 214.65*b106 + 256.57*b107 + 672.57*b108 + 211.4*b109 + 204.03*b110 + 324.99*b111 + 336.74*b112 + 112.03*b113 + 369.55*b114 + 153.47*b115 + 166.24*b116 + 381.53*b117 + 265.39*b118 + 379.6*b119 + 424.5*b120 + 320.94*b121 + 225.01*b122 + 308.72*b123 + 176.27*b124 + 194.23*b125 + 488.5*b126 + 229.73*b127 + 184.42*b128 + 370.78*b129 + 247.86*b130 + 280.8*b131 + 112*b132 + 248.56*b133 + 169.26*b134 + 307.74*b135 + 184.55*b136 + 401.86*b137 + 187.16*b138 + 151.9*b139 + 388.77*b140 + 150.5*b141 + 108.65*b142 + 137.42*b143 + 155.21*b144 + 231.09*b145 + 321.79*b146 + 318*b147 + 308.36*b148 + 239.09*b149 + 328.93*b150 + 328.09*b151 + 214.12*b152 + 453.3*b153 + 169.46*b154 + 215.89*b155 + 245.42*b156 + 200.26*b157 + 392.21*b158 + 182.94*b159 + 103.17*b160 + 177.46*b161 + 263.76*b162 + 201.97*b163 + 187.4*b164 + 131.19*b165 + 144.93*b166 + 215.44*b167 + 251.54*b168 + 444.24*b169 + 356.9*b170 + 352.21*b171 + 418.93*b172 + 375.07*b173 + 549.94*b174 + 584.09*b175 + 559.85*b176 + 394.59*b177 + 400.81*b178 + 306.69*b179 + 361.27*b180 + 398.91*b181 + 579.44*b182 + 601.26*b183 + 610.33*b184 + 619.24*b185 + 481.14*b186 + 300.67*b187 + 317.07*b188 + 444.94*b189 + 405.95*b190 + 580.08*b191 + 496.41*b192 + 483.82*b193 + 320.49*b194 + 351.69*b195 + 394.77*b196 + 492.52*b197 + 115.79*b198 + 431.92*b199 + 193.95*b200 + 115.11*b201 + 142.44*b202 + 223.48*b203 + 348.96*b204 + 180.24*b205 + 243.65*b206 + 374.78*b207 + 425.05*b208 + 360.37*b209 + 306.78*b210 + 325.03*b211 + 436.09*b212 + 509.49*b213 + 324.12*b214 + 305.13*b215 + 340.7*b216 + 332.15*b217 + 465.05*b218 + 341.97*b219 + 489.03*b220 + 474.72*b221 + 422.27*b222 + 359.53*b223 + 364.99*b224 + 365.7*b225 + 395.1*b226 + 349*b227 + 428.05*b228 + 448.53*b229 + 327.53*b230 + 333.64*b231 + 397.36*b232 + 490.62*b233 + 340.66*b234 + 379.48*b235 + 323.01*b236 + 338.28*b237 + 364.16*b238 + 348.35*b239 + 488.32*b240 + 453.77*b241 + 354.55*b242 + 373.12*b243 + 328.72*b244 + 474.1*b245 + 662.23*b246 + 492.63*b247 + 318.13*b248 + 372.08*b249 + 407.31*b250 + 459.43*b251 + 441.57*b252 + 479.99*b253 + 400.74*b254 + 432.39*b255 + 348.98*b256 + 475.03*b257 + 478.79*b258 + 383.92*b259 + 379.05*b260 + 423.72*b261 + 351.91*b262 + 311.88*b263 + 495.72*b264 + 484.77*b265 + 305.71*b266 + 314.14*b267 + 330.43*b268 + 456.88*b269 + 364.05*b270 + 391.49*b271 + 314.7*b272 + 476.88*b273 + 317.25*b274 + 328.14*b275 + 372.95*b276 + 372.68*b277 + 333.26*b278 + 364.23*b279 + 398.84*b280 + 379.81*b281 + 491.59*b282 + 315.11*b283 + 337*b284 + 368.84*b285 + 488.66*b286 + 336.95*b287 + 403.8*b288 + 311.72*b289 + 456.84*b290 + 331.36*b291 + 324.9*b292 + 396.26*b293 + 366.13*b294 + 328.25*b295 + 323.43*b296 + 366.93*b297 + 316.24*b298 + 345.88*b299 + 454.67*b300 + 492.69*b301 + 303.81*b302 + 380.62*b303 + 321.81*b304 + 361.14*b305 + 400.94*b306 + 431.67*b307 + 308.83*b308 + 338.58*b309 + 485.82*b310 + 334.32*b311 + 377.12*b312 + 513.12*b313 + 310.17*b314 + 442.11*b315 + 376.98*b316 + 302.65*b317 + 313.59*b318 + 437.34*b319 + 329.52*b320 + 503.56*b321 + 437.4*b322 + 499.5*b323 + 358.66*b324 + 436.24*b325 + 320.38*b326 + 665.54*b327 + 408.61*b328 + 328.94*b329 + 427.48*b330 + 363.95*b331 + 431.52*b332 + 392.5*b333 + 382.22*b334 + 382.61*b335 + 302.18*b336 + 412.39*b337 + 317.75*b338 + 317.1*b339 + 331.44*b340 + 308.88*b341 + 339.81*b342 + 403.39*b343 + 318.05*b344 + 494.89*b345 + 372.98*b346 + 690.72*b347 + 381.65*b348 + 432.01*b349 + 320.39*b350 + 374.54*b351 + 416.54*b352 + 478.42*b353 + 419.81*b354 + 335.65*b355 + 362.02*b356 + 342.39*b357 + 432.8*b358 + 451.98*b359 + 671.27*b360 + 309.18*b361 + 456.3*b362 + 458.44*b363 + 472.43*b364 + 355.62*b365 + 446.1*b366 + 306.48*b367 + 379.63*b368 + 315.68*b369 + 351.32*b370 + 397.86*b371 + 311.99*b372 + 301.82*b373 + 410.62*b374 + 406.71*b375 + 401.51*b376 + 321.49*b377 + 308.25*b378 + 305.34*b379 + 362.93*b380 + 345.16*b381 + 451.24*b382 + 318.72*b383 + 334.38*b384 + 371.67*b385 + 371.63*b386 + 479.78*b387 + 322.74*b388 + 484.64*b389 + 389.16*b390 + 342.39*b391 + 407.79*b392 + 402.71*b393 + 502.19*b394 + 343.03*b395 + 479.58*b396 + 343.14*b397 + 451.75*b398 + 317.41*b399 + 397.92*b400 + 321.17*b401 + 402.02*b402 + 322.88*b403 + 328.65*b404 + 347.65*b405 + 407.95*b406 + 376.75*b407 + 356.23*b408 + 374.55*b409 + 367.01*b410 + 402.29*b411 + 302.19*b412 + 306.09*b413 + 301.83*b414 + 382.65*b415 + 328.9*b416 + 370.96*b417 + 398.59*b418 + 310.35*b419 + 378.73*b420 + 346.23*b421 + 326.77*b422 + 388.04*b423 + 324.37*b424 + 344.19*b425 + 348.78*b426 + 406.7*b427 + 327.68*b428 + 338.01*b429 + 385.06*b430 + 373.67*b431 + 417.14*b432 + 350.65*b433 + 323.46*b434 + 355.05*b435 + 334.17*b436 + 302.29*b437 + 325.03*b438 + 307.37*b439 + 370.75*b440 + 343.57*b441 + 402.75*b442 + 336.58*b443 + 391.06*b444 + 385.86*b445 + 392.96*b446 + 308.35*b447 + 358.2*b448 + 370.73*b449 + 307.42*b450 + 329.42*b451 + 393.31*b452 + 311.16*b453 + 305.26*b454 + 341.14*b455 + 397.72*b456 + 342.96*b457 + 307.27*b458 + 394.57*b459 + 350.1*b460 + 372.91*b461 + 411.47*b462 + 305.14*b463 + 303.02*b464 + 347.26*b465 + 364.02*b466 + 363.57*b467 + 402.76*b468 + 326.49*b469 + 346.26*b470 + 330.35*b471 + 399.96*b472 + 301.24*b473 + 389.3*b474 =E= 0; e2.. 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 + b102 + b103 + b104 + b105 + b106 + b107 + b108 + b109 + b110 + b111 + b112 + b113 + b114 + b115 + b116 + b117 + b118 + b119 + b120 + b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128 + b129 + b130 + b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138 + b139 + b140 + b141 + b142 + b143 + b144 + b145 + b146 + b147 + b148 + b149 + b150 + b151 + b152 + b153 + b154 + b155 + b156 + b157 + b158 + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166 + b167 + b168 + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176 + b177 + b178 + b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188 + b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198 + b199 + b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208 + b209 + b210 + b211 + b212 + b213 + b214 + b215 + b216 + b217 + b218 + b219 + b220 + b221 + b222 + b223 + b224 + b225 + b226 + b227 + b228 + b229 + b230 + b231 + b232 + b233 + b234 + b235 + b236 + b237 + b238 + b239 + b240 + b241 + b242 + b243 + b244 + b245 + b246 + b247 + b248 + b249 + b250 + b251 + b252 + b253 + b254 + b255 + b256 + b257 + b258 + b259 + b260 + b261 + b262 + b263 + b264 + b265 + b266 + b267 + b268 + b269 + b270 + b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279 + b280 + b281 + b282 + b283 + b284 + b285 + b286 + b287 + b288 + b289 + b290 + b291 + b292 + b293 + b294 + b295 + b296 + b297 + b298 + b299 + b300 + b301 + b302 + b303 + b304 + b305 + b306 + b307 + b308 + b309 + b310 + b311 + b312 + b313 + b314 + b315 + b316 + b317 + b318 + b319 + b320 + b321 + b322 + b323 + b324 + b325 + b326 + b327 + b328 + b329 + b330 + b331 + b332 + b333 + b334 + b335 + b336 + b337 + b338 + b339 + b340 + b341 + b342 + b343 + b344 + b345 + b346 + b347 + b348 + b349 + b350 + b351 + b352 + b353 + b354 + b355 + b356 + b357 + b358 + b359 + b360 + b361 + b362 + b363 + b364 + b365 + b366 + b367 + b368 + b369 + b370 + b371 + b372 + b373 + b374 + b375 + b376 + b377 + b378 + b379 + b380 + b381 + b382 + b383 + b384 + b385 + b386 + b387 + b388 + b389 + b390 + b391 + b392 + b393 + b394 + b395 + b396 + b397 + b398 + b399 + b400 + b401 + b402 + b403 + b404 + b405 + b406 + b407 + b408 + b409 + b410 + b411 + b412 + b413 + b414 + b415 + b416 + b417 + b418 + b419 + b420 + b421 + b422 + b423 + b424 + b425 + b426 + b427 + b428 + b429 + b430 + b431 + b432 + b433 + b434 + b435 + b436 + b437 + b438 + b439 + b440 + b441 + b442 + b443 + b444 + b445 + b446 + b447 + b448 + b449 + b450 + b451 + b452 + b453 + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461 + b462 + b463 + b464 + b465 + b466 + b467 + b468 + b469 + b470 + b471 + b472 + b473 + b474 =E= 50; e3.. sqr(b2) + sqr(b3) + sqr(b4) + sqr(b5) + sqr(b54) + sqr(b55) + sqr(b56) + sqr(b76) + sqr(b77) + sqr(b80) + sqr(b93) + sqr(b95) + sqr(b96) + sqr(b97) + sqr(b98) + sqr(b103) + sqr(b170) + sqr(b171) + sqr(b195) + sqr(b196) + sqr(b220) + sqr(b222) + sqr(b233) + sqr(b240) + sqr(b246) + sqr(b257) + sqr(b259) + sqr(b264) + sqr(b265) + sqr(b310) + sqr(b312) + sqr(b313) + sqr(b327) + sqr(b330) + sqr(b332) + sqr(b335) + sqr(b345) + sqr(b347) + sqr(b348) + sqr(b352) + sqr(b354) + sqr(b358) + sqr(b360) + sqr(b380) + sqr(b385) + sqr(b389) + sqr(b392) + sqr(b394) + sqr(b6) + sqr(b412) + sqr( b414) + sqr(b434) + sqr(b447) + sqr(b451) + sqr(b473) + sqr(b7) + sqr(b8) + sqr(b9) + sqr(b253) + sqr(b262) + sqr(b280) + sqr(b285) + sqr(b288) + sqr(b296) + sqr(b322) + sqr(b340) + sqr(b344) + sqr(b367) + sqr(b372) + sqr(b383) + sqr(b10) + sqr(b11) + sqr(b65) + sqr(b69) + sqr(b70) + sqr( b244) + sqr(b419) + sqr(b458) + sqr(b464) + sqr(b12) + sqr(b209) + sqr( b241) + sqr(b243) + sqr(b254) + sqr(b256) + sqr(b294) + sqr(b300) + sqr( b318) + sqr(b334) + sqr(b337) + sqr(b363) + sqr(b371) + sqr(b375) + sqr( b13) + sqr(b369) + sqr(b14) + sqr(b59) + sqr(b79) + sqr(b81) + sqr(b92) + sqr(b105) + sqr(b169) + sqr(b177) + sqr(b181) + sqr(b15) + sqr(b401) + sqr(b402) + sqr(b417) + sqr(b418) + sqr(b420) + sqr(b423) + sqr(b426) + sqr(b430) + sqr(b431) + sqr(b433) + sqr(b435) + sqr(b437) + sqr(b440) + sqr(b442) + sqr(b443) + sqr(b444) + sqr(b452) + sqr(b453) + sqr(b463) + sqr(b465) + sqr(b16) + sqr(b78) + sqr(b91) + sqr(b17) + sqr(b57) + sqr(b94 ) + sqr(b99) + sqr(b100) + sqr(b18) + sqr(b58) + sqr(b101) + sqr(b102) + sqr(b104) + sqr(b19) + sqr(b20) + sqr(b21) + sqr(b22) + sqr(b179) + sqr( b187) + sqr(b23) + sqr(b211) + sqr(b214) + sqr(b223) + sqr(b342) + sqr( b355) + sqr(b24) + sqr(b221) + sqr(b245) + sqr(b250) + sqr(b251) + sqr( b260) + sqr(b268) + sqr(b271) + sqr(b291) + sqr(b308) + sqr(b309) + sqr( b320) + sqr(b326) + sqr(b364) + sqr(b377) + sqr(b386) + sqr(b25) + sqr( b278) + sqr(b26) + sqr(b27) + sqr(b28) + sqr(b314) + sqr(b350) + sqr(b361) + sqr(b373) + sqr(b399) + sqr(b29) + sqr(b30) + sqr(b180) + sqr(b188) + sqr(b194) + sqr(b31) + sqr(b32) + sqr(b45) + sqr(b46) + sqr(b47) + sqr(b62 ) + sqr(b33) + sqr(b186) + sqr(b192) + sqr(b193) + sqr(b197) + sqr(b34) + sqr(b53) + sqr(b67) + sqr(b173) + sqr(b238) + sqr(b35) + sqr(b48) + sqr( b49) + sqr(b50) + sqr(b51) + sqr(b63) + sqr(b66) + sqr(b68) + sqr(b73) + sqr(b36) + sqr(b52) + sqr(b60) + sqr(b61) + sqr(b64) + sqr(b71) + sqr(b72) + sqr(b74) + sqr(b75) + sqr(b37) + sqr(b38) + sqr(b39) + sqr(b40) + sqr( b41) + sqr(b42) + sqr(b43) + sqr(b44) + sqr(x475) + sqr(x476) + sqr(b82) + sqr(b410) + sqr(b449) + sqr(b466) + sqr(b467) + sqr(b83) + sqr(b408) + sqr(b448) + sqr(b454) + sqr(b460) + sqr(b470) + sqr(b84) + sqr(b85) + sqr( b86) + sqr(b403) + sqr(b404) + sqr(b428) + sqr(b429) + sqr(b87) + sqr(b88) + sqr(b217) + sqr(b225) + sqr(b231) + sqr(b248) + sqr(b263) + sqr(b304) + sqr(b324) + sqr(b329) + sqr(b370) + sqr(b384) + sqr(b89) + sqr(b266) + sqr(b272) + sqr(b283) + sqr(b338) + sqr(b90) + sqr(b174) + sqr(b176) + sqr(b184) + sqr(b191) + sqr(b236) + sqr(b237) + sqr(b276) + sqr(b279) + sqr(b281) + sqr(b303) + sqr(b341) + sqr(b357) + sqr(b381) + sqr(b106) + sqr(b405) + sqr(b416) + sqr(b421) + sqr(b422) + sqr(b425) + sqr(b436) + sqr(b438) + sqr(b441) + sqr(b455) + sqr(b457) + sqr(b469) + sqr(b471) + sqr(b107) + sqr(b108) + sqr(b175) + sqr(b182) + sqr(b183) + sqr(b185) + sqr(b212) + sqr(b229) + sqr(b232) + sqr(b242) + sqr(b252) + sqr(b255) + sqr(b269) + sqr(b270) + sqr(b273) + sqr(b290) + sqr(b293) + sqr(b297) + sqr(b299) + sqr(b301) + sqr(b305) + sqr(b306) + sqr(b307) + sqr(b323) + sqr(b328) + sqr(b343) + sqr(b346) + sqr(b353) + sqr(b359) + sqr(b362) + sqr(b393) + sqr(b396) + sqr(b397) + sqr(b400) + sqr(b109) + sqr(b413) + sqr(b424) + sqr(b439) + sqr(b450) + sqr(b110) + sqr(b111) + sqr(b407) + sqr(b409) + sqr(b415) + sqr(b461) + sqr(b112) + sqr(b406) + sqr(b411) + sqr(b427) + sqr(b432) + sqr(b445) + sqr(b446) + sqr(b456) + sqr(b459) + sqr(b462) + sqr(b468) + sqr(b472) + sqr(b474) + sqr(b113) + sqr(b114) + sqr(b115) + sqr(b249) + sqr(b277) + sqr(b284) + sqr(b289) + sqr(b351) + sqr(b365) + sqr(b368) + sqr(b374) + sqr(b376) + sqr(b390) + sqr(b116) + sqr(b117) + sqr(b118) + sqr(b119) + sqr(b120) + sqr(b172) + sqr(b178) + sqr(b189) + sqr(b190) + sqr(b210) + sqr(b216) + sqr(b226) + sqr(b227) + sqr(b230) + sqr(b234) + sqr(b235) + sqr(b239) + sqr(b275) + sqr(b287) + sqr(b292) + sqr(b295) + sqr(b391) + sqr(b121) + sqr(b258) + sqr(b261) + sqr(b325) + sqr(b349) + sqr(b122) + sqr(b215) + sqr(b228) + sqr(b274) + sqr(b311) + sqr(b316) + sqr(b333) + sqr(b356) + sqr(b123) + sqr(b213) + sqr(b247) + sqr(b286) + sqr(b317) + sqr(b387) + sqr(b388) + sqr(b124) + sqr(b336) + sqr(b339) + sqr(b125) + sqr(b315) + sqr(b319) + sqr(b321) + sqr(b366) + sqr(b126) + sqr(b218) + sqr(b219) + sqr(b224) + sqr(b282) + sqr(b331) + sqr(b382) + sqr(b395) + sqr(b398) + sqr(b127) + sqr(b128) + sqr(b129) + sqr(b267) + sqr(b298) + sqr(b302) + sqr(b378) + sqr(b379) + sqr(b130) + sqr(b131) + sqr(b132) + sqr(b133) + sqr(b134) + sqr(b135) + sqr(b136) + sqr(b137) + sqr(b138) + sqr(b139) + sqr(b140) + sqr(b141) + sqr(b142) + sqr(b143) + sqr(b144) + sqr(b145) + sqr(b146) + sqr(b147) + sqr(b148) + sqr(b149) + sqr(b150) + sqr(b151) + sqr(b152) + sqr(b153) + sqr(b154) + sqr(b155) + sqr(b156) + sqr(b157) + sqr(b158) + sqr(b159) + sqr(b160) + sqr(b161) + sqr(b162) + sqr(b163) + sqr(b164) + sqr(b165) + sqr(b166) + sqr(b167) + sqr(b168) + sqr(b198) + sqr(b199) + sqr(b200) + sqr(b201) + sqr(b202) + sqr(b203) + sqr(b204) + sqr(b205) + sqr(b206) + sqr(b207) + sqr(b208) + sqr(x477) + sqr(x478) + sqr(x479) + sqr(x480) + sqr(x481) + sqr(x482) + sqr(x483) + sqr(x484) + sqr(x485) + sqr(x486) + sqr(x487) + sqr(x488) + sqr(x489) + sqr(x490) + sqr(x491) + sqr(x492) + sqr(x493) + sqr(x494) + sqr(x495) + sqr(x496) + sqr(x497) + sqr(x498) + sqr(x499) + sqr(x500) + sqr(x501) + sqr(x502) + sqr(x503) + sqr(x504) + sqr(x505) + sqr(x506) + sqr(x507) + sqr(x508) + sqr(x509) + sqr(x510) + sqr(x511) + sqr(x512) + sqr(x513) + sqr(x514) + sqr(x515) + sqr(x516) + sqr(x517) + sqr(x518) + sqr(x519) + sqr(x520) + sqr(x521) + sqr(x522) + sqr(x523) + sqr(x524) + sqr(x525) + sqr(x526) + sqr(x527) + sqr(x528) + sqr(x529) + sqr(x530) + sqr(x531) + sqr(x532) + sqr(x533) + sqr(x534) + sqr(x535) + sqr(x536) + sqr(x537) + sqr(x538) + sqr(x539) + sqr(x540) + sqr(x541) + sqr(x542) + sqr(x543) + sqr(x544) + sqr(x545) + sqr(x546) + sqr(x547) + sqr(x548) + sqr(x549) + sqr(x550) + sqr(x551) + sqr(x552) + sqr(x553) + sqr(x554) + sqr(x555) + sqr(x556) + sqr(x557) + sqr(x558) + sqr(x559) + sqr(x560) + sqr(x561) + sqr(x562) + sqr(x563) + sqr(x564) + sqr(x565) + sqr(x566) + sqr(x567) + sqr(x568) + sqr(x569) + sqr(x570) + sqr(x571) + sqr(x572) + sqr(x573) + sqr(x574) + sqr(x575) + sqr(x576) + sqr(x577) + sqr(x578) + sqr(x579) + sqr(x580) + sqr(x581) + sqr(x582) + sqr(x583) + sqr(x584) + sqr(x585) + sqr(x586) + sqr(x587) + sqr(x588) + sqr(x589) + sqr(x590) + sqr(x591) + sqr(x592) + sqr(x593) + sqr(x594) + sqr(x595) + sqr(x596) + sqr(x597) + sqr(x598) + sqr(x599) + sqr(x600) + sqr(x601) + sqr(x602) + sqr(x603) + sqr(x604) + sqr(x605) + sqr(x606) + b5 *b54 + b5*b55 + b5*b56 + b5*b76 + b5*b77 + b5*b80 + b5*b93 + b5*b95 + b5* b96 + b5*b97 + b5*b98 + b5*b103 + b5*b170 + b5*b171 + b5*b195 + b5*b196 + b5*b220 + b5*b222 + b5*b233 + b5*b240 + b5*b246 + b5*b257 + b5*b259 + b5* b264 + b5*b265 + b5*b310 + b5*b312 + b5*b313 + b5*b327 + b5*b330 + b5*b332 + b5*b335 + b5*b345 + b5*b347 + b5*b348 + b5*b352 + b5*b354 + b5*b358 + b5*b360 + b5*b380 + b5*b385 + b5*b389 + b5*b392 + b5*b394 + b6*b412 + b6* b414 + b6*b434 + b6*b447 + b6*b451 + b6*b473 + b9*b170 + b9*b171 + b9*b195 + b9*b196 + b9*b253 + b9*b262 + b9*b280 + b9*b285 + b9*b288 + b9*b296 + b9*b322 + b9*b340 + b9*b344 + b9*b367 + b9*b372 + b9*b383 + b11*b65 + b11* b69 + b11*b70 + b11*b244 + b11*b257 + b11*b332 + b11*b354 + b11*b358 + b11 *b419 + b11*b458 + b11*b464 + b12*b209 + b12*b241 + b12*b243 + b12*b254 + b12*b256 + b12*b294 + b12*b300 + b12*b318 + b12*b334 + b12*b337 + b12*b363 + b12*b371 + b12*b375 + b13*b54 + b13*b77 + b13*b93 + b13*b98 + b13*b369 + b14*b59 + b14*b79 + b14*b81 + b14*b92 + b14*b105 + b14*b169 + b14*b177 + b14*b181 + b15*b401 + b15*b402 + b15*b417 + b15*b418 + b15*b420 + b15* b423 + b15*b426 + b15*b430 + b15*b431 + b15*b433 + b15*b434 + b15*b435 + b15*b437 + b15*b440 + b15*b442 + b15*b443 + b15*b444 + b15*b451 + b15*b452 + b15*b453 + b15*b463 + b15*b465 + b16*b78 + b16*b79 + b16*b81 + b16*b91 + b16*b92 + b16*b105 + b17*b57 + b17*b94 + b17*b99 + b17*b100 + b18*b57 + b18*b58 + b18*b59 + b18*b94 + b18*b99 + b18*b100 + b18*b101 + b18*b102 + b18*b104 + b18*b169 + b18*b177 + b18*b181 + b19*b58 + b19*b78 + b19*b91 + b19*b101 + b19*b102 + b19*b104 + b21*b55 + b21*b76 + b21*b96 + b21*b103 + b22*b179 + b22*b187 + b23*b211 + b23*b214 + b23*b223 + b23*b342 + b23* b355 + b24*b221 + b24*b245 + b24*b250 + b24*b251 + b24*b260 + b24*b268 + b24*b271 + b24*b291 + b24*b308 + b24*b309 + b24*b320 + b24*b326 + b24*b364 + b24*b377 + b24*b386 + b25*b278 + b25*b308 + b28*b314 + b28*b350 + b28* b361 + b28*b373 + b28*b399 + b30*b180 + b30*b188 + b30*b194 + b31*b179 + b31*b187 + b32*b45 + b32*b46 + b32*b47 + b32*b62 + b33*b186 + b33*b192 + b33*b193 + b33*b197 + b34*b53 + b34*b67 + b34*b173 + b34*b238 + b35*b48 + b35*b49 + b35*b50 + b35*b51 + b35*b63 + b35*b66 + b35*b68 + b35*b73 + b36* b50 + b36*b51 + b36*b52 + b36*b60 + b36*b61 + b36*b63 + b36*b64 + b36*b66 + b36*b71 + 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0.5*b213*b371 + 0.5*b213*b375 + 0.5*b213*b382 + 0.5*b213*b384 + b213*b387 + 0.5*b213*b388 + 0.5*b213*b395 + 0.5*b213* b398 + 0.5*b214*b223 + 0.5*b214*b266 + 0.5*b214*b272 + 0.5*b214*b283 + 0.5 *b214*b338 + 0.5*b214*b342 + 0.5*b214*b355 + 0.5*b214*b373 + 0.5*b215*b225 + 0.5*b215*b228 + 0.5*b215*b236 + 0.5*b215*b237 + 0.5*b215*b274 + 0.5* b215*b278 + 0.5*b215*b291 + 0.5*b215*b303 + 0.5*b215*b304 + 0.5*b215*b309 + b215*b311 + 0.5*b215*b315 + 0.5*b215*b316 + 0.5*b215*b319 + 0.5*b215* b320 + 0.5*b215*b321 + 0.5*b215*b329 + 0.5*b215*b333 + 0.5*b215*b356 + 0.5 *b215*b357 + 0.5*b215*b366 + 0.5*b215*b370 + 0.5*b215*b377 + 0.5*b216*b220 + 0.5*b216*b226 + b216*b227 + 0.5*b216*b230 + 0.5*b216*b233 + 0.5*b216* b234 + 0.5*b216*b235 + 0.5*b216*b239 + 0.5*b216*b264 + 0.5*b216*b265 + b216*b275 + 0.5*b216*b287 + 0.5*b216*b292 + b216*b295 + 0.5*b216*b351 + 0.5*b216*b368 + 0.5*b216*b376 + 0.5*b216*b390 + 0.5*b216*b391 + b216*x479 + 0.5*b217*b225 + 0.5*b217*b228 + b217*b231 + 0.5*b217*b247 + 0.5*b217* b248 + 0.5*b217*b258 + 0.5*b217*b261 + 0.5*b217*b263 + 0.5*b217*b268 + 0.5 *b217*b286 + 0.5*b217*b304 + 0.5*b217*b316 + 0.5*b217*b317 + b217*b324 + 0.5*b217*b325 + 0.5*b217*b326 + 0.5*b217*b329 + 0.5*b217*b333 + 0.5*b217* b349 + 0.5*b217*b356 + 0.5*b217*b370 + b217*b384 + 0.5*b217*b387 + 0.5* b217*b388 + 0.5*b218*b219 + 0.5*b218*b221 + 0.5*b218*b224 + 0.5*b218*b245 + 0.5*b218*b247 + 0.5*b218*b248 + 0.5*b218*b251 + 0.5*b218*b253 + 0.5* b218*b254 + 0.5*b218*b263 + 0.5*b218*b276 + 0.5*b218*b279 + 0.5*b218*b280 + 0.5*b218*b281 + b218*b282 + 0.5*b218*b286 + 0.5*b218*b288 + 0.5*b218* b315 + 0.5*b218*b319 + 0.5*b218*b321 + 0.5*b218*b322 + 0.5*b218*b331 + 0.5 *b218*b363 + 0.5*b218*b364 + 0.5*b218*b366 + 0.5*b218*b371 + 0.5*b218*b375 + 0.5*b218*b381 + b218*b382 + 0.5*b218*b387 + 0.5*b218*b395 + b218*b398 + 0.5*b219*b221 + b219*b224 + 0.5*b219*b245 + 0.5*b219*b247 + 0.5*b219* b251 + 0.5*b219*b253 + 0.5*b219*b254 + 0.5*b219*b280 + 0.5*b219*b282 + 0.5 *b219*b286 + 0.5*b219*b288 + 0.5*b219*b315 + 0.5*b219*b319 + 0.5*b219*b321 + 0.5*b219*b322 + b219*b331 + 0.5*b219*b341 + 0.5*b219*b363 + 0.5*b219* b364 + 0.5*b219*b366 + 0.5*b219*b371 + 0.5*b219*b375 + 0.5*b219*b382 + 0.5 *b219*b387 + b219*b395 + 0.5*b219*b398 + b219*x480 + 0.5*b220*b222 + 0.5* b220*b226 + 0.5*b220*b227 + 0.5*b220*b230 + b220*b233 + 0.5*b220*b234 + 0.5*b220*b235 + 0.5*b220*b239 + 0.5*b220*b240 + 0.5*b220*b246 + 0.5*b220* b257 + 0.5*b220*b259 + b220*b264 + b220*b265 + 0.5*b220*b275 + 0.5*b220* b287 + 0.5*b220*b292 + 0.5*b220*b295 + 0.5*b220*b310 + 0.5*b220*b312 + 0.5 *b220*b313 + 0.5*b220*b327 + 0.5*b220*b330 + 0.5*b220*b332 + 0.5*b220*b335 + 0.5*b220*b345 + 0.5*b220*b347 + 0.5*b220*b348 + 0.5*b220*b351 + 0.5* b220*b352 + 0.5*b220*b354 + 0.5*b220*b358 + 0.5*b220*b360 + 0.5*b220*b368 + 0.5*b220*b376 + 0.5*b220*b380 + 0.5*b220*b385 + 0.5*b220*b389 + 0.5* b220*b390 + 0.5*b220*b391 + 0.5*b220*b392 + 0.5*b220*b394 + 0.5*b221*b224 + b221*b245 + 0.5*b221*b247 + 0.5*b221*b250 + b221*b251 + 0.5*b221*b253 + 0.5*b221*b254 + 0.5*b221*b260 + 0.5*b221*b268 + 0.5*b221*b271 + 0.5* b221*b280 + 0.5*b221*b282 + 0.5*b221*b286 + 0.5*b221*b288 + 0.5*b221*b291 + 0.5*b221*b308 + 0.5*b221*b309 + 0.5*b221*b315 + 0.5*b221*b319 + 0.5* b221*b320 + 0.5*b221*b321 + 0.5*b221*b322 + 0.5*b221*b326 + 0.5*b221*b331 + 0.5*b221*b363 + b221*b364 + 0.5*b221*b366 + 0.5*b221*b371 + 0.5*b221* b375 + 0.5*b221*b377 + 0.5*b221*b382 + 0.5*b221*b386 + 0.5*b221*b387 + 0.5 *b221*b395 + 0.5*b221*b398 + 0.5*b222*b233 + b222*b240 + 0.5*b222*b246 + 0.5*b222*b257 + 0.5*b222*b259 + 0.5*b222*b262 + 0.5*b222*b264 + 0.5*b222* b265 + 0.5*b222*b284 + 0.5*b222*b285 + 0.5*b222*b296 + 0.5*b222*b310 + 0.5 *b222*b312 + b222*b313 + 0.5*b222*b327 + 0.5*b222*b330 + 0.5*b222*b332 + 0.5*b222*b335 + 0.5*b222*b340 + 0.5*b222*b345 + 0.5*b222*b347 + 0.5*b222* b348 + b222*b352 + 0.5*b222*b354 + 0.5*b222*b358 + 0.5*b222*b360 + 0.5* b222*b380 + 0.5*b222*b385 + 0.5*b222*b389 + 0.5*b222*b392 + 0.5*b222*b394 + 0.5*b223*b250 + 0.5*b223*b258 + 0.5*b223*b260 + 0.5*b223*b261 + 0.5* b223*b271 + 0.5*b223*b314 + 0.5*b223*b325 + b223*b342 + 0.5*b223*b349 + 0.5*b223*b350 + b223*b355 + 0.5*b223*b361 + 0.5*b223*b386 + 0.5*b223*b399 + 0.5*b224*b245 + 0.5*b224*b247 + 0.5*b224*b251 + 0.5*b224*b253 + 0.5* b224*b254 + 0.5*b224*b280 + 0.5*b224*b282 + 0.5*b224*b286 + 0.5*b224*b288 + 0.5*b224*b315 + 0.5*b224*b319 + 0.5*b224*b321 + 0.5*b224*b322 + b224* b331 + 0.5*b224*b341 + 0.5*b224*b363 + 0.5*b224*b364 + 0.5*b224*b366 + 0.5 *b224*b371 + 0.5*b224*b375 + 0.5*b224*b382 + 0.5*b224*b387 + b224*b395 + 0.5*b224*b398 + b224*x480 + 0.5*b225*b231 + 0.5*b225*b236 + 0.5*b225*b237 + 0.5*b225*b248 + 0.5*b225*b263 + 0.5*b225*b268 + 0.5*b225*b278 + 0.5* b225*b303 + b225*b304 + 0.5*b225*b311 + 0.5*b225*b315 + 0.5*b225*b319 + 0.5*b225*b321 + 0.5*b225*b324 + 0.5*b225*b326 + b225*b329 + 0.5*b225*b357 + 0.5*b225*b366 + b225*b370 + 0.5*b225*b384 + 0.5*b226*b227 + 0.5*b226* b230 + 0.5*b226*b233 + b226*b234 + 0.5*b226*b235 + b226*b239 + 0.5*b226* b264 + 0.5*b226*b265 + 0.5*b226*b267 + 0.5*b226*b269 + 0.5*b226*b275 + 0.5 *b226*b287 + 0.5*b226*b292 + 0.5*b226*b295 + 0.5*b226*b298 + 0.5*b226*b336 + 0.5*b226*b339 + 0.5*b226*b351 + 0.5*b226*b353 + 0.5*b226*b359 + 0.5* b226*b362 + 0.5*b226*b368 + 0.5*b226*b376 + 0.5*b226*b378 + 0.5*b226*b379 + 0.5*b226*b390 + b226*b391 + b226*x481 + 0.5*b227*b230 + 0.5*b227*b233 + 0.5*b227*b234 + 0.5*b227*b235 + 0.5*b227*b239 + 0.5*b227*b264 + 0.5* b227*b265 + b227*b275 + 0.5*b227*b287 + 0.5*b227*b292 + b227*b295 + 0.5* b227*b351 + 0.5*b227*b368 + 0.5*b227*b376 + 0.5*b227*b390 + 0.5*b227*b391 + b227*x479 + 0.5*b228*b231 + 0.5*b228*b247 + 0.5*b228*b258 + 0.5*b228* b261 + 0.5*b228*b274 + 0.5*b228*b286 + 0.5*b228*b291 + 0.5*b228*b309 + 0.5 *b228*b311 + b228*b316 + 0.5*b228*b317 + 0.5*b228*b320 + 0.5*b228*b324 + 0.5*b228*b325 + b228*b333 + 0.5*b228*b349 + b228*b356 + 0.5*b228*b377 + 0.5*b228*b384 + 0.5*b228*b387 + 0.5*b228*b388 + 0.5*b229*b230 + 0.5*b229* b232 + 0.5*b229*b235 + 0.5*b229*b242 + 0.5*b229*b246 + 0.5*b229*b252 + b229*b255 + 0.5*b229*b269 + 0.5*b229*b270 + 0.5*b229*b273 + b229*b290 + 0.5*b229*b292 + 0.5*b229*b293 + 0.5*b229*b297 + 0.5*b229*b299 + 0.5*b229* b301 + 0.5*b229*b305 + 0.5*b229*b306 + 0.5*b229*b307 + 0.5*b229*b323 + 0.5 *b229*b327 + 0.5*b229*b328 + 0.5*b229*b343 + 0.5*b229*b346 + 0.5*b229*b347 + 0.5*b229*b353 + 0.5*b229*b359 + 0.5*b229*b360 + 0.5*b229*b362 + 0.5* b229*b393 + 0.5*b229*b396 + 0.5*b229*b397 + 0.5*b229*b400 + b229*x478 + 0.5*b230*b233 + 0.5*b230*b234 + b230*b235 + 0.5*b230*b239 + 0.5*b230*b255 + 0.5*b230*b264 + 0.5*b230*b265 + 0.5*b230*b275 + 0.5*b230*b287 + 0.5* b230*b290 + b230*b292 + 0.5*b230*b295 + 0.5*b230*b351 + 0.5*b230*b368 + 0.5*b230*b376 + 0.5*b230*b390 + 0.5*b230*b391 + b230*x478 + 0.5*b231*b247 + 0.5*b231*b248 + 0.5*b231*b258 + 0.5*b231*b261 + 0.5*b231*b263 + 0.5* b231*b268 + 0.5*b231*b286 + 0.5*b231*b304 + 0.5*b231*b316 + 0.5*b231*b317 + b231*b324 + 0.5*b231*b325 + 0.5*b231*b326 + 0.5*b231*b329 + 0.5*b231* b333 + 0.5*b231*b349 + 0.5*b231*b356 + 0.5*b231*b370 + b231*b384 + 0.5* b231*b387 + 0.5*b231*b388 + b232*b242 + 0.5*b232*b246 + 0.5*b232*b252 + 0.5*b232*b255 + 0.5*b232*b269 + b232*b270 + 0.5*b232*b273 + 0.5*b232*b287 + 0.5*b232*b290 + 0.5*b232*b293 + 0.5*b232*b297 + 0.5*b232*b299 + 0.5* b232*b301 + 0.5*b232*b305 + 0.5*b232*b306 + 0.5*b232*b307 + 0.5*b232*b323 + 0.5*b232*b327 + 0.5*b232*b328 + 0.5*b232*b343 + b232*b346 + 0.5*b232* b347 + 0.5*b232*b353 + 0.5*b232*b359 + 0.5*b232*b360 + 0.5*b232*b362 + 0.5 *b232*b393 + 0.5*b232*b396 + 0.5*b232*b397 + 0.5*b232*b400 + b232*x477 + 0.5*b233*b234 + 0.5*b233*b235 + 0.5*b233*b239 + 0.5*b233*b240 + 0.5*b233* b246 + 0.5*b233*b257 + 0.5*b233*b259 + b233*b264 + b233*b265 + 0.5*b233* b275 + 0.5*b233*b287 + 0.5*b233*b292 + 0.5*b233*b295 + 0.5*b233*b310 + 0.5 *b233*b312 + 0.5*b233*b313 + 0.5*b233*b327 + 0.5*b233*b330 + 0.5*b233*b332 + 0.5*b233*b335 + 0.5*b233*b345 + 0.5*b233*b347 + 0.5*b233*b348 + 0.5* b233*b351 + 0.5*b233*b352 + 0.5*b233*b354 + 0.5*b233*b358 + 0.5*b233*b360 + 0.5*b233*b368 + 0.5*b233*b376 + 0.5*b233*b380 + 0.5*b233*b385 + 0.5* b233*b389 + 0.5*b233*b390 + 0.5*b233*b391 + 0.5*b233*b392 + 0.5*b233*b394 + 0.5*b234*b235 + b234*b239 + 0.5*b234*b264 + 0.5*b234*b265 + 0.5*b234* b267 + 0.5*b234*b269 + 0.5*b234*b275 + 0.5*b234*b287 + 0.5*b234*b292 + 0.5 *b234*b295 + 0.5*b234*b298 + 0.5*b234*b336 + 0.5*b234*b339 + 0.5*b234*b351 + 0.5*b234*b353 + 0.5*b234*b359 + 0.5*b234*b362 + 0.5*b234*b368 + 0.5* b234*b376 + 0.5*b234*b378 + 0.5*b234*b379 + 0.5*b234*b390 + b234*b391 + b234*x481 + 0.5*b235*b239 + 0.5*b235*b255 + 0.5*b235*b264 + 0.5*b235*b265 + 0.5*b235*b275 + 0.5*b235*b287 + 0.5*b235*b290 + b235*b292 + 0.5*b235* b295 + 0.5*b235*b351 + 0.5*b235*b368 + 0.5*b235*b376 + 0.5*b235*b390 + 0.5 *b235*b391 + b235*x478 + b236*b237 + 0.5*b236*b256 + 0.5*b236*b276 + 0.5* b236*b278 + 0.5*b236*b279 + 0.5*b236*b281 + 0.5*b236*b294 + 0.5*b236*b300 + b236*b303 + 0.5*b236*b304 + 0.5*b236*b311 + 0.5*b236*b315 + 0.5*b236* b319 + 0.5*b236*b321 + 0.5*b236*b329 + 0.5*b236*b341 + 0.5*b236*b344 + b236*b357 + 0.5*b236*b366 + 0.5*b236*b367 + 0.5*b236*b370 + 0.5*b236*b372 + 0.5*b236*b381 + 0.5*b236*b383 + 0.5*b237*b256 + 0.5*b237*b276 + 0.5* b237*b278 + 0.5*b237*b279 + 0.5*b237*b281 + 0.5*b237*b294 + 0.5*b237*b300 + b237*b303 + 0.5*b237*b304 + 0.5*b237*b311 + 0.5*b237*b315 + 0.5*b237* b319 + 0.5*b237*b321 + 0.5*b237*b329 + 0.5*b237*b341 + 0.5*b237*b344 + b237*b357 + 0.5*b237*b366 + 0.5*b237*b367 + 0.5*b237*b370 + 0.5*b237*b372 + 0.5*b237*b381 + 0.5*b237*b383 + 0.5*b239*b264 + 0.5*b239*b265 + 0.5* b239*b267 + 0.5*b239*b269 + 0.5*b239*b275 + 0.5*b239*b287 + 0.5*b239*b292 + 0.5*b239*b295 + 0.5*b239*b298 + 0.5*b239*b336 + 0.5*b239*b339 + 0.5* b239*b351 + 0.5*b239*b353 + 0.5*b239*b359 + 0.5*b239*b362 + 0.5*b239*b368 + 0.5*b239*b376 + 0.5*b239*b378 + 0.5*b239*b379 + 0.5*b239*b390 + b239* b391 + b239*x481 + 0.5*b240*b246 + 0.5*b240*b257 + 0.5*b240*b259 + 0.5* b240*b262 + 0.5*b240*b264 + 0.5*b240*b265 + 0.5*b240*b284 + 0.5*b240*b285 + 0.5*b240*b296 + 0.5*b240*b310 + 0.5*b240*b312 + b240*b313 + 0.5*b240* b327 + 0.5*b240*b330 + 0.5*b240*b332 + 0.5*b240*b335 + 0.5*b240*b340 + 0.5 *b240*b345 + 0.5*b240*b347 + 0.5*b240*b348 + b240*b352 + 0.5*b240*b354 + 0.5*b240*b358 + 0.5*b240*b360 + 0.5*b240*b380 + 0.5*b240*b385 + 0.5*b240* b389 + 0.5*b240*b392 + 0.5*b240*b394 + b241*b243 + 0.5*b241*b249 + 0.5* b241*b254 + 0.5*b241*b256 + 0.5*b241*b267 + 0.5*b241*b277 + 0.5*b241*b294 + 0.5*b241*b298 + 0.5*b241*b300 + 0.5*b241*b302 + 0.5*b241*b310 + 0.5* b241*b318 + b241*b334 + b241*b337 + 0.5*b241*b345 + 0.5*b241*b363 + 0.5* b241*b365 + 0.5*b241*b371 + 0.5*b241*b374 + 0.5*b241*b375 + 0.5*b241*b378 + 0.5*b241*b379 + 0.5*b241*b389 + 0.5*b241*b394 + 0.5*b242*b246 + 0.5* b242*b252 + 0.5*b242*b255 + 0.5*b242*b269 + b242*b270 + 0.5*b242*b273 + 0.5*b242*b287 + 0.5*b242*b290 + 0.5*b242*b293 + 0.5*b242*b297 + 0.5*b242* b299 + 0.5*b242*b301 + 0.5*b242*b305 + 0.5*b242*b306 + 0.5*b242*b307 + 0.5 *b242*b323 + 0.5*b242*b327 + 0.5*b242*b328 + 0.5*b242*b343 + b242*b346 + 0.5*b242*b347 + 0.5*b242*b353 + 0.5*b242*b359 + 0.5*b242*b360 + 0.5*b242* b362 + 0.5*b242*b393 + 0.5*b242*b396 + 0.5*b242*b397 + 0.5*b242*b400 + b242*x477 + 0.5*b243*b249 + 0.5*b243*b254 + 0.5*b243*b256 + 0.5*b243*b267 + 0.5*b243*b277 + 0.5*b243*b294 + 0.5*b243*b298 + 0.5*b243*b300 + 0.5* b243*b302 + 0.5*b243*b310 + 0.5*b243*b318 + b243*b334 + b243*b337 + 0.5* b243*b345 + 0.5*b243*b363 + 0.5*b243*b365 + 0.5*b243*b371 + 0.5*b243*b374 + 0.5*b243*b375 + 0.5*b243*b378 + 0.5*b243*b379 + 0.5*b243*b389 + 0.5* b243*b394 + 0.5*b244*b249 + 0.5*b244*b257 + 0.5*b244*b273 + 0.5*b244*b277 + 0.5*b244*b284 + 0.5*b244*b289 + 0.5*b244*b301 + 0.5*b244*b323 + 0.5* b244*b332 + 0.5*b244*b351 + 0.5*b244*b354 + 0.5*b244*b358 + 0.5*b244*b365 + 0.5*b244*b368 + 0.5*b244*b374 + 0.5*b244*b376 + 0.5*b244*b390 + 0.5* b244*b396 + 0.5*b244*b419 + 0.5*b244*b458 + 0.5*b244*b464 + 0.5*b245*b247 + 0.5*b245*b250 + b245*b251 + 0.5*b245*b253 + 0.5*b245*b254 + 0.5*b245* b260 + 0.5*b245*b268 + 0.5*b245*b271 + 0.5*b245*b280 + 0.5*b245*b282 + 0.5 *b245*b286 + 0.5*b245*b288 + 0.5*b245*b291 + 0.5*b245*b308 + 0.5*b245*b309 + 0.5*b245*b315 + 0.5*b245*b319 + 0.5*b245*b320 + 0.5*b245*b321 + 0.5* b245*b322 + 0.5*b245*b326 + 0.5*b245*b331 + 0.5*b245*b363 + b245*b364 + 0.5*b245*b366 + 0.5*b245*b371 + 0.5*b245*b375 + 0.5*b245*b377 + 0.5*b245* b382 + 0.5*b245*b386 + 0.5*b245*b387 + 0.5*b245*b395 + 0.5*b245*b398 + 0.5 *b246*b252 + 0.5*b246*b255 + 0.5*b246*b257 + 0.5*b246*b259 + 0.5*b246*b264 + 0.5*b246*b265 + 0.5*b246*b269 + 0.5*b246*b270 + 0.5*b246*b273 + 0.5* b246*b290 + 0.5*b246*b293 + 0.5*b246*b297 + 0.5*b246*b299 + 0.5*b246*b301 + 0.5*b246*b305 + 0.5*b246*b306 + 0.5*b246*b307 + 0.5*b246*b310 + 0.5* b246*b312 + 0.5*b246*b313 + 0.5*b246*b323 + b246*b327 + 0.5*b246*b328 + 0.5*b246*b330 + 0.5*b246*b332 + 0.5*b246*b335 + 0.5*b246*b343 + 0.5*b246* b345 + 0.5*b246*b346 + b246*b347 + 0.5*b246*b348 + 0.5*b246*b352 + 0.5* b246*b353 + 0.5*b246*b354 + 0.5*b246*b358 + 0.5*b246*b359 + b246*b360 + 0.5*b246*b362 + 0.5*b246*b380 + 0.5*b246*b385 + 0.5*b246*b389 + 0.5*b246* b392 + 0.5*b246*b393 + 0.5*b246*b394 + 0.5*b246*b396 + 0.5*b246*b397 + 0.5 *b246*b400 + 0.5*b247*b251 + 0.5*b247*b253 + 0.5*b247*b254 + 0.5*b247*b258 + 0.5*b247*b261 + 0.5*b247*b280 + 0.5*b247*b282 + b247*b286 + 0.5*b247* b288 + 0.5*b247*b315 + 0.5*b247*b316 + 0.5*b247*b317 + 0.5*b247*b319 + 0.5 *b247*b321 + 0.5*b247*b322 + 0.5*b247*b324 + 0.5*b247*b325 + 0.5*b247*b331 + 0.5*b247*b333 + 0.5*b247*b349 + 0.5*b247*b356 + 0.5*b247*b363 + 0.5* b247*b364 + 0.5*b247*b366 + 0.5*b247*b371 + 0.5*b247*b375 + 0.5*b247*b382 + 0.5*b247*b384 + b247*b387 + 0.5*b247*b388 + 0.5*b247*b395 + 0.5*b247* b398 + b248*b263 + 0.5*b248*b268 + 0.5*b248*b276 + 0.5*b248*b279 + 0.5* b248*b281 + 0.5*b248*b282 + 0.5*b248*b304 + 0.5*b248*b324 + 0.5*b248*b326 + 0.5*b248*b329 + 0.5*b248*b370 + 0.5*b248*b381 + 0.5*b248*b382 + 0.5* b248*b384 + 0.5*b248*b398 + 0.5*b249*b267 + 0.5*b249*b273 + b249*b277 + 0.5*b249*b284 + 0.5*b249*b289 + 0.5*b249*b298 + 0.5*b249*b301 + 0.5*b249* b302 + 0.5*b249*b310 + 0.5*b249*b323 + 0.5*b249*b334 + 0.5*b249*b337 + 0.5 *b249*b345 + 0.5*b249*b351 + b249*b365 + 0.5*b249*b368 + b249*b374 + 0.5* b249*b376 + 0.5*b249*b378 + 0.5*b249*b379 + 0.5*b249*b389 + 0.5*b249*b390 + 0.5*b249*b394 + 0.5*b249*b396 + 0.5*b250*b251 + 0.5*b250*b258 + b250* b260 + 0.5*b250*b261 + 0.5*b250*b268 + b250*b271 + 0.5*b250*b291 + 0.5* b250*b308 + 0.5*b250*b309 + 0.5*b250*b314 + 0.5*b250*b320 + 0.5*b250*b325 + 0.5*b250*b326 + 0.5*b250*b342 + 0.5*b250*b349 + 0.5*b250*b350 + 0.5* b250*b355 + 0.5*b250*b361 + 0.5*b250*b364 + 0.5*b250*b377 + b250*b386 + 0.5*b250*b399 + 0.5*b251*b253 + 0.5*b251*b254 + 0.5*b251*b260 + 0.5*b251* b268 + 0.5*b251*b271 + 0.5*b251*b280 + 0.5*b251*b282 + 0.5*b251*b286 + 0.5 *b251*b288 + 0.5*b251*b291 + 0.5*b251*b308 + 0.5*b251*b309 + 0.5*b251*b315 + 0.5*b251*b319 + 0.5*b251*b320 + 0.5*b251*b321 + 0.5*b251*b322 + 0.5* b251*b326 + 0.5*b251*b331 + 0.5*b251*b363 + b251*b364 + 0.5*b251*b366 + 0.5*b251*b371 + 0.5*b251*b375 + 0.5*b251*b377 + 0.5*b251*b382 + 0.5*b251* b386 + 0.5*b251*b387 + 0.5*b251*b395 + 0.5*b251*b398 + 0.5*b252*b255 + 0.5 *b252*b269 + 0.5*b252*b270 + 0.5*b252*b273 + 0.5*b252*b290 + b252*b293 + 0.5*b252*b297 + 0.5*b252*b299 + 0.5*b252*b301 + 0.5*b252*b305 + b252*b306 + 0.5*b252*b307 + 0.5*b252*b323 + 0.5*b252*b327 + b252*b328 + 0.5*b252* b343 + 0.5*b252*b346 + 0.5*b252*b347 + 0.5*b252*b353 + 0.5*b252*b359 + 0.5 *b252*b360 + 0.5*b252*b362 + 0.5*b252*b393 + 0.5*b252*b396 + 0.5*b252*b397 + 0.5*b252*b400 + b252*x482 + 0.5*b253*b254 + 0.5*b253*b262 + b253*b280 + 0.5*b253*b282 + 0.5*b253*b285 + 0.5*b253*b286 + b253*b288 + 0.5*b253* b296 + 0.5*b253*b315 + 0.5*b253*b319 + 0.5*b253*b321 + b253*b322 + 0.5* b253*b331 + 0.5*b253*b340 + 0.5*b253*b344 + 0.5*b253*b363 + 0.5*b253*b364 + 0.5*b253*b366 + 0.5*b253*b367 + 0.5*b253*b371 + 0.5*b253*b372 + 0.5* b253*b375 + 0.5*b253*b382 + 0.5*b253*b383 + 0.5*b253*b387 + 0.5*b253*b395 + 0.5*b253*b398 + 0.5*b254*b256 + 0.5*b254*b280 + 0.5*b254*b282 + 0.5* b254*b286 + 0.5*b254*b288 + 0.5*b254*b294 + 0.5*b254*b300 + 0.5*b254*b315 + 0.5*b254*b318 + 0.5*b254*b319 + 0.5*b254*b321 + 0.5*b254*b322 + 0.5* b254*b331 + 0.5*b254*b334 + 0.5*b254*b337 + b254*b363 + 0.5*b254*b364 + 0.5*b254*b366 + b254*b371 + b254*b375 + 0.5*b254*b382 + 0.5*b254*b387 + 0.5*b254*b395 + 0.5*b254*b398 + 0.5*b255*b269 + 0.5*b255*b270 + 0.5*b255* b273 + b255*b290 + 0.5*b255*b292 + 0.5*b255*b293 + 0.5*b255*b297 + 0.5* b255*b299 + 0.5*b255*b301 + 0.5*b255*b305 + 0.5*b255*b306 + 0.5*b255*b307 + 0.5*b255*b323 + 0.5*b255*b327 + 0.5*b255*b328 + 0.5*b255*b343 + 0.5* b255*b346 + 0.5*b255*b347 + 0.5*b255*b353 + 0.5*b255*b359 + 0.5*b255*b360 + 0.5*b255*b362 + 0.5*b255*b393 + 0.5*b255*b396 + 0.5*b255*b397 + 0.5* b255*b400 + b255*x478 + 0.5*b256*b276 + 0.5*b256*b279 + 0.5*b256*b281 + b256*b294 + b256*b300 + 0.5*b256*b303 + 0.5*b256*b318 + 0.5*b256*b334 + 0.5*b256*b337 + 0.5*b256*b341 + 0.5*b256*b344 + 0.5*b256*b357 + 0.5*b256* b363 + 0.5*b256*b367 + 0.5*b256*b371 + 0.5*b256*b372 + 0.5*b256*b375 + 0.5 *b256*b381 + 0.5*b256*b383 + 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0.5*b259*b389 + 0.5*b259*b392 + 0.5*b259*b394 + 0.5*b260*b261 + 0.5 *b260*b268 + b260*b271 + 0.5*b260*b291 + 0.5*b260*b308 + 0.5*b260*b309 + 0.5*b260*b314 + 0.5*b260*b320 + 0.5*b260*b325 + 0.5*b260*b326 + 0.5*b260* b342 + 0.5*b260*b349 + 0.5*b260*b350 + 0.5*b260*b355 + 0.5*b260*b361 + 0.5 *b260*b364 + 0.5*b260*b377 + b260*b386 + 0.5*b260*b399 + 0.5*b261*b271 + 0.5*b261*b286 + 0.5*b261*b314 + 0.5*b261*b316 + 0.5*b261*b317 + 0.5*b261* b324 + b261*b325 + 0.5*b261*b333 + 0.5*b261*b342 + b261*b349 + 0.5*b261* b350 + 0.5*b261*b355 + 0.5*b261*b356 + 0.5*b261*b361 + 0.5*b261*b384 + 0.5 *b261*b386 + 0.5*b261*b387 + 0.5*b261*b388 + 0.5*b261*b399 + 0.5*b262*b280 + 0.5*b262*b284 + b262*b285 + 0.5*b262*b288 + b262*b296 + 0.5*b262*b313 + 0.5*b262*b322 + b262*b340 + 0.5*b262*b344 + 0.5*b262*b352 + 0.5*b262* b367 + 0.5*b262*b372 + 0.5*b262*b383 + 0.5*b263*b268 + 0.5*b263*b276 + 0.5 *b263*b279 + 0.5*b263*b281 + 0.5*b263*b282 + 0.5*b263*b304 + 0.5*b263*b324 + 0.5*b263*b326 + 0.5*b263*b329 + 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0.5*b277*b368 + b277*b374 + 0.5*b277*b376 + 0.5*b277*b378 + 0.5* b277*b379 + 0.5*b277*b389 + 0.5*b277*b390 + 0.5*b277*b394 + 0.5*b277*b396 + 0.5*b278*b303 + 0.5*b278*b304 + 0.5*b278*b308 + 0.5*b278*b311 + 0.5* b278*b315 + 0.5*b278*b319 + 0.5*b278*b321 + 0.5*b278*b329 + 0.5*b278*b357 + 0.5*b278*b366 + 0.5*b278*b370 + b279*b281 + 0.5*b279*b282 + 0.5*b279* b294 + 0.5*b279*b300 + 0.5*b279*b303 + 0.5*b279*b341 + 0.5*b279*b344 + 0.5 *b279*b357 + 0.5*b279*b367 + 0.5*b279*b372 + b279*b381 + 0.5*b279*b382 + 0.5*b279*b383 + 0.5*b279*b398 + 0.5*b280*b282 + 0.5*b280*b285 + 0.5*b280* b286 + b280*b288 + 0.5*b280*b296 + 0.5*b280*b315 + 0.5*b280*b319 + 0.5* b280*b321 + b280*b322 + 0.5*b280*b331 + 0.5*b280*b340 + 0.5*b280*b344 + 0.5*b280*b363 + 0.5*b280*b364 + 0.5*b280*b366 + 0.5*b280*b367 + 0.5*b280* b371 + 0.5*b280*b372 + 0.5*b280*b375 + 0.5*b280*b382 + 0.5*b280*b383 + 0.5 *b280*b387 + 0.5*b280*b395 + 0.5*b280*b398 + 0.5*b281*b282 + 0.5*b281*b294 + 0.5*b281*b300 + 0.5*b281*b303 + 0.5*b281*b341 + 0.5*b281*b344 + 0.5* b281*b357 + 0.5*b281*b367 + 0.5*b281*b372 + b281*b381 + 0.5*b281*b382 + 0.5*b281*b383 + 0.5*b281*b398 + 0.5*b282*b286 + 0.5*b282*b288 + 0.5*b282* b315 + 0.5*b282*b319 + 0.5*b282*b321 + 0.5*b282*b322 + 0.5*b282*b331 + 0.5 *b282*b363 + 0.5*b282*b364 + 0.5*b282*b366 + 0.5*b282*b371 + 0.5*b282*b375 + 0.5*b282*b381 + b282*b382 + 0.5*b282*b387 + 0.5*b282*b395 + b282*b398 + b283*b338 + 0.5*b283*b369 + 0.5*b283*b373 + 0.5*b284*b285 + 0.5*b284* b289 + 0.5*b284*b296 + 0.5*b284*b301 + 0.5*b284*b313 + 0.5*b284*b323 + 0.5 *b284*b340 + 0.5*b284*b351 + 0.5*b284*b352 + 0.5*b284*b365 + 0.5*b284*b368 + 0.5*b284*b374 + 0.5*b284*b376 + 0.5*b284*b390 + 0.5*b284*b396 + 0.5* b285*b288 + b285*b296 + 0.5*b285*b313 + 0.5*b285*b322 + b285*b340 + 0.5* b285*b344 + 0.5*b285*b352 + 0.5*b285*b367 + 0.5*b285*b372 + 0.5*b285*b383 + 0.5*b286*b288 + 0.5*b286*b315 + 0.5*b286*b316 + 0.5*b286*b317 + 0.5* b286*b319 + 0.5*b286*b321 + 0.5*b286*b322 + 0.5*b286*b324 + 0.5*b286*b325 + 0.5*b286*b331 + 0.5*b286*b333 + 0.5*b286*b349 + 0.5*b286*b356 + 0.5* b286*b363 + 0.5*b286*b364 + 0.5*b286*b366 + 0.5*b286*b371 + 0.5*b286*b375 + 0.5*b286*b382 + 0.5*b286*b384 + b286*b387 + 0.5*b286*b388 + 0.5*b286* b395 + 0.5*b286*b398 + 0.5*b287*b292 + 0.5*b287*b295 + 0.5*b287*b346 + 0.5 *b287*b351 + 0.5*b287*b368 + 0.5*b287*b376 + 0.5*b287*b390 + 0.5*b287*b391 + b287*x477 + 0.5*b288*b296 + 0.5*b288*b315 + 0.5*b288*b319 + 0.5*b288* b321 + b288*b322 + 0.5*b288*b331 + 0.5*b288*b340 + 0.5*b288*b344 + 0.5* b288*b363 + 0.5*b288*b364 + 0.5*b288*b366 + 0.5*b288*b367 + 0.5*b288*b371 + 0.5*b288*b372 + 0.5*b288*b375 + 0.5*b288*b382 + 0.5*b288*b383 + 0.5* b288*b387 + 0.5*b288*b395 + 0.5*b288*b398 + 0.5*b289*b301 + 0.5*b289*b312 + 0.5*b289*b318 + 0.5*b289*b323 + 0.5*b289*b330 + 0.5*b289*b336 + 0.5* b289*b339 + 0.5*b289*b348 + 0.5*b289*b351 + 0.5*b289*b365 + 0.5*b289*b368 + 0.5*b289*b374 + 0.5*b289*b376 + 0.5*b289*b390 + 0.5*b289*b392 + 0.5* b289*b396 + 0.5*b290*b292 + 0.5*b290*b293 + 0.5*b290*b297 + 0.5*b290*b299 + 0.5*b290*b301 + 0.5*b290*b305 + 0.5*b290*b306 + 0.5*b290*b307 + 0.5* b290*b323 + 0.5*b290*b327 + 0.5*b290*b328 + 0.5*b290*b343 + 0.5*b290*b346 + 0.5*b290*b347 + 0.5*b290*b353 + 0.5*b290*b359 + 0.5*b290*b360 + 0.5* b290*b362 + 0.5*b290*b393 + 0.5*b290*b396 + 0.5*b290*b397 + 0.5*b290*b400 + b290*x478 + 0.5*b291*b308 + b291*b309 + 0.5*b291*b311 + 0.5*b291*b316 + b291*b320 + 0.5*b291*b326 + 0.5*b291*b333 + 0.5*b291*b356 + 0.5*b291* b364 + b291*b377 + 0.5*b291*b386 + 0.5*b292*b295 + 0.5*b292*b351 + 0.5* b292*b368 + 0.5*b292*b376 + 0.5*b292*b390 + 0.5*b292*b391 + b292*x478 + 0.5*b293*b297 + 0.5*b293*b299 + 0.5*b293*b301 + 0.5*b293*b305 + b293*b306 + 0.5*b293*b307 + 0.5*b293*b323 + 0.5*b293*b327 + b293*b328 + 0.5*b293* b343 + 0.5*b293*b346 + 0.5*b293*b347 + 0.5*b293*b353 + 0.5*b293*b359 + 0.5 *b293*b360 + 0.5*b293*b362 + 0.5*b293*b393 + 0.5*b293*b396 + 0.5*b293*b397 + 0.5*b293*b400 + b293*x482 + b294*b300 + 0.5*b294*b303 + 0.5*b294*b318 + 0.5*b294*b334 + 0.5*b294*b337 + 0.5*b294*b341 + 0.5*b294*b344 + 0.5* b294*b357 + 0.5*b294*b363 + 0.5*b294*b367 + 0.5*b294*b371 + 0.5*b294*b372 + 0.5*b294*b375 + 0.5*b294*b381 + 0.5*b294*b383 + 0.5*b295*b351 + 0.5* b295*b368 + 0.5*b295*b376 + 0.5*b295*b390 + 0.5*b295*b391 + b295*x479 + 0.5*b296*b313 + 0.5*b296*b322 + b296*b340 + 0.5*b296*b344 + 0.5*b296*b352 + 0.5*b296*b367 + 0.5*b296*b372 + 0.5*b296*b383 + b297*b299 + 0.5*b297* b301 + b297*b305 + 0.5*b297*b306 + 0.5*b297*b307 + 0.5*b297*b323 + 0.5* b297*b327 + 0.5*b297*b328 + 0.5*b297*b343 + 0.5*b297*b346 + 0.5*b297*b347 + 0.5*b297*b353 + 0.5*b297*b359 + 0.5*b297*b360 + 0.5*b297*b362 + 0.5* b297*b393 + 0.5*b297*b396 + b297*b397 + 0.5*b297*b400 + b297*x484 + 0.5* b298*b302 + 0.5*b298*b310 + 0.5*b298*b334 + 0.5*b298*b336 + 0.5*b298*b337 + 0.5*b298*b339 + 0.5*b298*b345 + 0.5*b298*b353 + 0.5*b298*b359 + 0.5* b298*b362 + 0.5*b298*b365 + 0.5*b298*b374 + b298*b378 + b298*b379 + 0.5* b298*b389 + 0.5*b298*b391 + 0.5*b298*b394 + b298*x481 + 0.5*b299*b301 + b299*b305 + 0.5*b299*b306 + 0.5*b299*b307 + 0.5*b299*b323 + 0.5*b299*b327 + 0.5*b299*b328 + 0.5*b299*b343 + 0.5*b299*b346 + 0.5*b299*b347 + 0.5* b299*b353 + 0.5*b299*b359 + 0.5*b299*b360 + 0.5*b299*b362 + 0.5*b299*b393 + 0.5*b299*b396 + b299*b397 + 0.5*b299*b400 + b299*x484 + 0.5*b300*b303 + 0.5*b300*b318 + 0.5*b300*b334 + 0.5*b300*b337 + 0.5*b300*b341 + 0.5* b300*b344 + 0.5*b300*b357 + 0.5*b300*b363 + 0.5*b300*b367 + 0.5*b300*b371 + 0.5*b300*b372 + 0.5*b300*b375 + 0.5*b300*b381 + 0.5*b300*b383 + 0.5* b301*b305 + 0.5*b301*b306 + 0.5*b301*b307 + b301*b323 + 0.5*b301*b327 + 0.5*b301*b328 + 0.5*b301*b343 + 0.5*b301*b346 + 0.5*b301*b347 + 0.5*b301* b351 + 0.5*b301*b353 + 0.5*b301*b359 + 0.5*b301*b360 + 0.5*b301*b362 + 0.5 *b301*b365 + 0.5*b301*b368 + 0.5*b301*b374 + 0.5*b301*b376 + 0.5*b301*b390 + 0.5*b301*b393 + b301*b396 + 0.5*b301*b397 + 0.5*b301*b400 + 0.5*b302* b307 + 0.5*b302*b310 + 0.5*b302*b334 + 0.5*b302*b337 + 0.5*b302*b343 + 0.5 *b302*b345 + 0.5*b302*b365 + 0.5*b302*b374 + 0.5*b302*b378 + 0.5*b302*b379 + 0.5*b302*b389 + 0.5*b302*b393 + 0.5*b302*b394 + 0.5*b302*b400 + b302* x485 + 0.5*b303*b304 + 0.5*b303*b311 + 0.5*b303*b315 + 0.5*b303*b319 + 0.5 *b303*b321 + 0.5*b303*b329 + 0.5*b303*b341 + 0.5*b303*b344 + b303*b357 + 0.5*b303*b366 + 0.5*b303*b367 + 0.5*b303*b370 + 0.5*b303*b372 + 0.5*b303* b381 + 0.5*b303*b383 + 0.5*b304*b311 + 0.5*b304*b315 + 0.5*b304*b319 + 0.5 *b304*b321 + 0.5*b304*b324 + 0.5*b304*b326 + b304*b329 + 0.5*b304*b357 + 0.5*b304*b366 + b304*b370 + 0.5*b304*b384 + 0.5*b305*b306 + 0.5*b305*b307 + 0.5*b305*b323 + 0.5*b305*b327 + 0.5*b305*b328 + 0.5*b305*b343 + 0.5* b305*b346 + 0.5*b305*b347 + 0.5*b305*b353 + 0.5*b305*b359 + 0.5*b305*b360 + 0.5*b305*b362 + 0.5*b305*b393 + 0.5*b305*b396 + b305*b397 + 0.5*b305* b400 + b305*x484 + 0.5*b306*b307 + 0.5*b306*b323 + 0.5*b306*b327 + b306* b328 + 0.5*b306*b343 + 0.5*b306*b346 + 0.5*b306*b347 + 0.5*b306*b353 + 0.5 *b306*b359 + 0.5*b306*b360 + 0.5*b306*b362 + 0.5*b306*b393 + 0.5*b306*b396 + 0.5*b306*b397 + 0.5*b306*b400 + b306*x482 + 0.5*b307*b323 + 0.5*b307* b327 + 0.5*b307*b328 + b307*b343 + 0.5*b307*b346 + 0.5*b307*b347 + 0.5* b307*b353 + 0.5*b307*b359 + 0.5*b307*b360 + 0.5*b307*b362 + b307*b393 + 0.5*b307*b396 + 0.5*b307*b397 + b307*b400 + b307*x485 + 0.5*b308*b309 + 0.5*b308*b320 + 0.5*b308*b326 + 0.5*b308*b364 + 0.5*b308*b377 + 0.5*b308* b386 + 0.5*b309*b311 + 0.5*b309*b316 + b309*b320 + 0.5*b309*b326 + 0.5* b309*b333 + 0.5*b309*b356 + 0.5*b309*b364 + b309*b377 + 0.5*b309*b386 + 0.5*b310*b312 + 0.5*b310*b313 + 0.5*b310*b327 + 0.5*b310*b330 + 0.5*b310* b332 + 0.5*b310*b334 + 0.5*b310*b335 + 0.5*b310*b337 + b310*b345 + 0.5* b310*b347 + 0.5*b310*b348 + 0.5*b310*b352 + 0.5*b310*b354 + 0.5*b310*b358 + 0.5*b310*b360 + 0.5*b310*b365 + 0.5*b310*b374 + 0.5*b310*b378 + 0.5* b310*b379 + 0.5*b310*b380 + 0.5*b310*b385 + b310*b389 + 0.5*b310*b392 + b310*b394 + 0.5*b311*b315 + 0.5*b311*b316 + 0.5*b311*b319 + 0.5*b311*b320 + 0.5*b311*b321 + 0.5*b311*b329 + 0.5*b311*b333 + 0.5*b311*b356 + 0.5* 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0.5*b315*b395 + 0.5*b315*b398 + 0.5*b316* b317 + 0.5*b316*b320 + 0.5*b316*b324 + 0.5*b316*b325 + b316*b333 + 0.5* b316*b349 + b316*b356 + 0.5*b316*b377 + 0.5*b316*b384 + 0.5*b316*b387 + 0.5*b316*b388 + 0.5*b317*b324 + 0.5*b317*b325 + 0.5*b317*b333 + 0.5*b317* b349 + 0.5*b317*b356 + 0.5*b317*b384 + 0.5*b317*b387 + 0.5*b317*b388 + b317*x486 + 0.5*b318*b330 + 0.5*b318*b334 + 0.5*b318*b336 + 0.5*b318*b337 + 0.5*b318*b339 + 0.5*b318*b348 + 0.5*b318*b363 + 0.5*b318*b371 + 0.5* b318*b375 + 0.5*b318*b392 + b319*b321 + 0.5*b319*b322 + 0.5*b319*b329 + 0.5*b319*b331 + 0.5*b319*b357 + 0.5*b319*b363 + 0.5*b319*b364 + b319*b366 + 0.5*b319*b370 + 0.5*b319*b371 + 0.5*b319*b375 + 0.5*b319*b382 + 0.5* b319*b387 + 0.5*b319*b395 + 0.5*b319*b398 + 0.5*b320*b326 + 0.5*b320*b333 + 0.5*b320*b356 + 0.5*b320*b364 + b320*b377 + 0.5*b320*b386 + 0.5*b321* b322 + 0.5*b321*b329 + 0.5*b321*b331 + 0.5*b321*b357 + 0.5*b321*b363 + 0.5 *b321*b364 + b321*b366 + 0.5*b321*b370 + 0.5*b321*b371 + 0.5*b321*b375 + 0.5*b321*b382 + 0.5*b321*b387 + 0.5*b321*b395 + 0.5*b321*b398 + 0.5*b322* b331 + 0.5*b322*b340 + 0.5*b322*b344 + 0.5*b322*b363 + 0.5*b322*b364 + 0.5 *b322*b366 + 0.5*b322*b367 + 0.5*b322*b371 + 0.5*b322*b372 + 0.5*b322*b375 + 0.5*b322*b382 + 0.5*b322*b383 + 0.5*b322*b387 + 0.5*b322*b395 + 0.5* b322*b398 + 0.5*b323*b327 + 0.5*b323*b328 + 0.5*b323*b343 + 0.5*b323*b346 + 0.5*b323*b347 + 0.5*b323*b351 + 0.5*b323*b353 + 0.5*b323*b359 + 0.5* b323*b360 + 0.5*b323*b362 + 0.5*b323*b365 + 0.5*b323*b368 + 0.5*b323*b374 + 0.5*b323*b376 + 0.5*b323*b390 + 0.5*b323*b393 + b323*b396 + 0.5*b323* b397 + 0.5*b323*b400 + 0.5*b324*b325 + 0.5*b324*b326 + 0.5*b324*b329 + 0.5 *b324*b333 + 0.5*b324*b349 + 0.5*b324*b356 + 0.5*b324*b370 + b324*b384 + 0.5*b324*b387 + 0.5*b324*b388 + 0.5*b325*b333 + 0.5*b325*b342 + b325*b349 + 0.5*b325*b350 + 0.5*b325*b355 + 0.5*b325*b356 + 0.5*b325*b361 + 0.5* b325*b384 + 0.5*b325*b386 + 0.5*b325*b387 + 0.5*b325*b388 + 0.5*b325*b399 + 0.5*b326*b329 + 0.5*b326*b364 + 0.5*b326*b370 + 0.5*b326*b377 + 0.5* b326*b384 + 0.5*b326*b386 + 0.5*b327*b328 + 0.5*b327*b330 + 0.5*b327*b332 + 0.5*b327*b335 + 0.5*b327*b343 + 0.5*b327*b345 + 0.5*b327*b346 + b327* b347 + 0.5*b327*b348 + 0.5*b327*b352 + 0.5*b327*b353 + 0.5*b327*b354 + 0.5 *b327*b358 + 0.5*b327*b359 + b327*b360 + 0.5*b327*b362 + 0.5*b327*b380 + 0.5*b327*b385 + 0.5*b327*b389 + 0.5*b327*b392 + 0.5*b327*b393 + 0.5*b327* b394 + 0.5*b327*b396 + 0.5*b327*b397 + 0.5*b327*b400 + 0.5*b328*b343 + 0.5 *b328*b346 + 0.5*b328*b347 + 0.5*b328*b353 + 0.5*b328*b359 + 0.5*b328*b360 + 0.5*b328*b362 + 0.5*b328*b393 + 0.5*b328*b396 + 0.5*b328*b397 + 0.5* b328*b400 + b328*x482 + 0.5*b329*b357 + 0.5*b329*b366 + b329*b370 + 0.5* b329*b384 + 0.5*b330*b332 + 0.5*b330*b335 + 0.5*b330*b336 + 0.5*b330*b339 + 0.5*b330*b345 + 0.5*b330*b347 + b330*b348 + 0.5*b330*b352 + 0.5*b330* b354 + 0.5*b330*b358 + 0.5*b330*b360 + 0.5*b330*b380 + 0.5*b330*b385 + 0.5 *b330*b389 + b330*b392 + 0.5*b330*b394 + 0.5*b331*b341 + 0.5*b331*b363 + 0.5*b331*b364 + 0.5*b331*b366 + 0.5*b331*b371 + 0.5*b331*b375 + 0.5*b331* b382 + 0.5*b331*b387 + b331*b395 + 0.5*b331*b398 + b331*x480 + 0.5*b332* b335 + 0.5*b332*b345 + 0.5*b332*b347 + 0.5*b332*b348 + 0.5*b332*b352 + b332*b354 + b332*b358 + 0.5*b332*b360 + 0.5*b332*b380 + 0.5*b332*b385 + 0.5*b332*b389 + 0.5*b332*b392 + 0.5*b332*b394 + 0.5*b332*b419 + 0.5*b332* b458 + 0.5*b332*b464 + 0.5*b333*b349 + b333*b356 + 0.5*b333*b377 + 0.5* b333*b384 + 0.5*b333*b387 + 0.5*b333*b388 + b334*b337 + 0.5*b334*b345 + 0.5*b334*b363 + 0.5*b334*b365 + 0.5*b334*b371 + 0.5*b334*b374 + 0.5*b334* b375 + 0.5*b334*b378 + 0.5*b334*b379 + 0.5*b334*b389 + 0.5*b334*b394 + 0.5 *b335*b345 + 0.5*b335*b347 + 0.5*b335*b348 + 0.5*b335*b352 + 0.5*b335*b354 + 0.5*b335*b358 + 0.5*b335*b360 + b335*b380 + b335*b385 + 0.5*b335*b389 + 0.5*b335*b392 + 0.5*b335*b394 + b336*b339 + 0.5*b336*b348 + 0.5*b336* b353 + 0.5*b336*b359 + 0.5*b336*b362 + 0.5*b336*b378 + 0.5*b336*b379 + 0.5 *b336*b391 + 0.5*b336*b392 + b336*x481 + 0.5*b337*b345 + 0.5*b337*b363 + 0.5*b337*b365 + 0.5*b337*b371 + 0.5*b337*b374 + 0.5*b337*b375 + 0.5*b337* b378 + 0.5*b337*b379 + 0.5*b337*b389 + 0.5*b337*b394 + 0.5*b338*b369 + 0.5 *b338*b373 + 0.5*b339*b348 + 0.5*b339*b353 + 0.5*b339*b359 + 0.5*b339*b362 + 0.5*b339*b378 + 0.5*b339*b379 + 0.5*b339*b391 + 0.5*b339*b392 + b339* x481 + 0.5*b340*b344 + 0.5*b340*b352 + 0.5*b340*b367 + 0.5*b340*b372 + 0.5 *b340*b383 + 0.5*b341*b344 + 0.5*b341*b357 + 0.5*b341*b367 + 0.5*b341*b372 + 0.5*b341*b381 + 0.5*b341*b383 + 0.5*b341*b395 + b341*x480 + 0.5*b342* b349 + 0.5*b342*b350 + b342*b355 + 0.5*b342*b361 + 0.5*b342*b386 + 0.5* b342*b399 + 0.5*b343*b346 + 0.5*b343*b347 + 0.5*b343*b353 + 0.5*b343*b359 + 0.5*b343*b360 + 0.5*b343*b362 + b343*b393 + 0.5*b343*b396 + 0.5*b343* b397 + b343*b400 + b343*x485 + 0.5*b344*b357 + b344*b367 + b344*b372 + 0.5 *b344*b381 + b344*b383 + 0.5*b345*b347 + 0.5*b345*b348 + 0.5*b345*b352 + 0.5*b345*b354 + 0.5*b345*b358 + 0.5*b345*b360 + 0.5*b345*b365 + 0.5*b345* b374 + 0.5*b345*b378 + 0.5*b345*b379 + 0.5*b345*b380 + 0.5*b345*b385 + b345*b389 + 0.5*b345*b392 + b345*b394 + 0.5*b346*b347 + 0.5*b346*b353 + 0.5*b346*b359 + 0.5*b346*b360 + 0.5*b346*b362 + 0.5*b346*b393 + 0.5*b346* b396 + 0.5*b346*b397 + 0.5*b346*b400 + b346*x477 + 0.5*b347*b348 + 0.5* b347*b352 + 0.5*b347*b353 + 0.5*b347*b354 + 0.5*b347*b358 + 0.5*b347*b359 + b347*b360 + 0.5*b347*b362 + 0.5*b347*b380 + 0.5*b347*b385 + 0.5*b347* b389 + 0.5*b347*b392 + 0.5*b347*b393 + 0.5*b347*b394 + 0.5*b347*b396 + 0.5 *b347*b397 + 0.5*b347*b400 + 0.5*b348*b352 + 0.5*b348*b354 + 0.5*b348*b358 + 0.5*b348*b360 + 0.5*b348*b380 + 0.5*b348*b385 + 0.5*b348*b389 + b348* b392 + 0.5*b348*b394 + 0.5*b349*b350 + 0.5*b349*b355 + 0.5*b349*b356 + 0.5 *b349*b361 + 0.5*b349*b384 + 0.5*b349*b386 + 0.5*b349*b387 + 0.5*b349*b388 + 0.5*b349*b399 + 0.5*b350*b355 + b350*b361 + 0.5*b350*b373 + 0.5*b350* b386 + b350*b399 + 0.5*b351*b365 + b351*b368 + 0.5*b351*b374 + b351*b376 + b351*b390 + 0.5*b351*b391 + 0.5*b351*b396 + 0.5*b352*b354 + 0.5*b352* b358 + 0.5*b352*b360 + 0.5*b352*b380 + 0.5*b352*b385 + 0.5*b352*b389 + 0.5 *b352*b392 + 0.5*b352*b394 + b353*b359 + 0.5*b353*b360 + b353*b362 + 0.5* b353*b378 + 0.5*b353*b379 + 0.5*b353*b391 + 0.5*b353*b393 + 0.5*b353*b396 + 0.5*b353*b397 + 0.5*b353*b400 + b353*x481 + b354*b358 + 0.5*b354*b360 + 0.5*b354*b380 + 0.5*b354*b385 + 0.5*b354*b389 + 0.5*b354*b392 + 0.5* b354*b394 + 0.5*b354*b419 + 0.5*b354*b458 + 0.5*b354*b464 + 0.5*b355*b361 + 0.5*b355*b386 + 0.5*b355*b399 + 0.5*b356*b377 + 0.5*b356*b384 + 0.5* b356*b387 + 0.5*b356*b388 + 0.5*b357*b366 + 0.5*b357*b367 + 0.5*b357*b370 + 0.5*b357*b372 + 0.5*b357*b381 + 0.5*b357*b383 + 0.5*b358*b360 + 0.5* b358*b380 + 0.5*b358*b385 + 0.5*b358*b389 + 0.5*b358*b392 + 0.5*b358*b394 + 0.5*b358*b419 + 0.5*b358*b458 + 0.5*b358*b464 + 0.5*b359*b360 + b359* b362 + 0.5*b359*b378 + 0.5*b359*b379 + 0.5*b359*b391 + 0.5*b359*b393 + 0.5 *b359*b396 + 0.5*b359*b397 + 0.5*b359*b400 + b359*x481 + 0.5*b360*b362 + 0.5*b360*b380 + 0.5*b360*b385 + 0.5*b360*b389 + 0.5*b360*b392 + 0.5*b360* b393 + 0.5*b360*b394 + 0.5*b360*b396 + 0.5*b360*b397 + 0.5*b360*b400 + 0.5 *b361*b373 + 0.5*b361*b386 + b361*b399 + 0.5*b362*b378 + 0.5*b362*b379 + 0.5*b362*b391 + 0.5*b362*b393 + 0.5*b362*b396 + 0.5*b362*b397 + 0.5*b362* b400 + b362*x481 + 0.5*b363*b364 + 0.5*b363*b366 + b363*b371 + b363*b375 + 0.5*b363*b382 + 0.5*b363*b387 + 0.5*b363*b395 + 0.5*b363*b398 + 0.5* b364*b366 + 0.5*b364*b371 + 0.5*b364*b375 + 0.5*b364*b377 + 0.5*b364*b382 + 0.5*b364*b386 + 0.5*b364*b387 + 0.5*b364*b395 + 0.5*b364*b398 + 0.5* b365*b368 + b365*b374 + 0.5*b365*b376 + 0.5*b365*b378 + 0.5*b365*b379 + 0.5*b365*b389 + 0.5*b365*b390 + 0.5*b365*b394 + 0.5*b365*b396 + 0.5*b366* b370 + 0.5*b366*b371 + 0.5*b366*b375 + 0.5*b366*b382 + 0.5*b366*b387 + 0.5 *b366*b395 + 0.5*b366*b398 + b367*b372 + 0.5*b367*b381 + b367*b383 + 0.5* b368*b374 + b368*b376 + b368*b390 + 0.5*b368*b391 + 0.5*b368*b396 + 0.5* b370*b384 + b371*b375 + 0.5*b371*b382 + 0.5*b371*b387 + 0.5*b371*b395 + 0.5*b371*b398 + 0.5*b372*b381 + b372*b383 + 0.5*b373*b399 + 0.5*b374*b376 + 0.5*b374*b378 + 0.5*b374*b379 + 0.5*b374*b389 + 0.5*b374*b390 + 0.5* b374*b394 + 0.5*b374*b396 + 0.5*b375*b382 + 0.5*b375*b387 + 0.5*b375*b395 + 0.5*b375*b398 + b376*b390 + 0.5*b376*b391 + 0.5*b376*b396 + 0.5*b377* b386 + b378*b379 + 0.5*b378*b389 + 0.5*b378*b391 + 0.5*b378*b394 + b378* x481 + 0.5*b379*b389 + 0.5*b379*b391 + 0.5*b379*b394 + b379*x481 + b380* b385 + 0.5*b380*b389 + 0.5*b380*b392 + 0.5*b380*b394 + 0.5*b381*b382 + 0.5 *b381*b383 + 0.5*b381*b398 + 0.5*b382*b387 + 0.5*b382*b395 + b382*b398 + 0.5*b384*b387 + 0.5*b384*b388 + 0.5*b385*b389 + 0.5*b385*b392 + 0.5*b385* b394 + 0.5*b386*b399 + 0.5*b387*b388 + 0.5*b387*b395 + 0.5*b387*b398 + b388*x487 + 0.5*b389*b392 + b389*b394 + 0.5*b390*b391 + 0.5*b390*b396 + b391*x481 + 0.5*b392*b394 + 0.5*b393*b396 + 0.5*b393*b397 + b393*b400 + b393*x485 + 0.5*b395*b398 + b395*x480 + 0.5*b396*b397 + 0.5*b396*b400 + 0.5*b397*b400 + b397*x484 + b400*x485 + 0.5*b401*b402 + 0.5*b401*b413 + 0.5*b401*b417 + 0.5*b401*b418 + 0.5*b401*b420 + 0.5*b401*b423 + 0.5*b401* b424 + 0.5*b401*b426 + 0.5*b401*b430 + 0.5*b401*b431 + 0.5*b401*b433 + 0.5 *b401*b434 + 0.5*b401*b435 + b401*b437 + 0.5*b401*b439 + 0.5*b401*b440 + 0.5*b401*b442 + 0.5*b401*b443 + 0.5*b401*b444 + 0.5*b401*b450 + 0.5*b401* b451 + 0.5*b401*b452 + b401*b453 + b401*b463 + 0.5*b401*b465 + 0.5*b402* b405 + 0.5*b402*b406 + 0.5*b402*b416 + 0.5*b402*b417 + 0.5*b402*b418 + 0.5 *b402*b420 + b402*b423 + 0.5*b402*b426 + 0.5*b402*b430 + 0.5*b402*b431 + 0.5*b402*b433 + 0.5*b402*b434 + 0.5*b402*b435 + 0.5*b402*b437 + 0.5*b402* b440 + b402*b442 + 0.5*b402*b443 + 0.5*b402*b444 + 0.5*b402*b451 + b402* b452 + 0.5*b402*b453 + 0.5*b402*b456 + 0.5*b402*b459 + 0.5*b402*b462 + 0.5 *b402*b463 + 0.5*b402*b465 + 0.5*b402*b469 + 0.5*b402*b471 + b403*b404 + 0.5*b403*b419 + b403*b428 + b403*b429 + 0.5*b403*b433 + 0.5*b403*b435 + 0.5*b403*b443 + 0.5*b403*b458 + 0.5*b403*b464 + 0.5*b403*b465 + 0.5*b404* b419 + b404*b428 + b404*b429 + 0.5*b404*b433 + 0.5*b404*b435 + 0.5*b404* b443 + 0.5*b404*b458 + 0.5*b404*b464 + 0.5*b404*b465 + 0.5*b405*b406 + b405*b416 + 0.5*b405*b421 + 0.5*b405*b422 + 0.5*b405*b423 + 0.5*b405*b425 + 0.5*b405*b436 + 0.5*b405*b438 + 0.5*b405*b441 + 0.5*b405*b442 + 0.5* b405*b452 + 0.5*b405*b454 + 0.5*b405*b455 + 0.5*b405*b456 + 0.5*b405*b457 + 0.5*b405*b459 + 0.5*b405*b462 + b405*b469 + b405*b471 + 0.5*b406*b407 + 0.5*b406*b408 + 0.5*b406*b409 + 0.5*b406*b411 + 0.5*b406*b412 + 0.5* b406*b413 + 0.5*b406*b414 + 0.5*b406*b415 + 0.5*b406*b416 + 0.5*b406*b423 + 0.5*b406*b424 + 0.5*b406*b427 + 0.5*b406*b432 + 0.5*b406*b439 + 0.5* b406*b442 + 0.5*b406*b445 + 0.5*b406*b446 + 0.5*b406*b447 + 0.5*b406*b448 + 0.5*b406*b450 + 0.5*b406*b452 + b406*b456 + b406*b459 + 0.5*b406*b460 + 0.5*b406*b461 + b406*b462 + 0.5*b406*b468 + 0.5*b406*b469 + 0.5*b406* b470 + 0.5*b406*b471 + 0.5*b406*b472 + 0.5*b406*b473 + 0.5*b406*b474 + 0.5 *b407*b408 + b407*b409 + 0.5*b407*b411 + 0.5*b407*b412 + 0.5*b407*b413 + 0.5*b407*b414 + b407*b415 + 0.5*b407*b417 + 0.5*b407*b424 + 0.5*b407*b426 + 0.5*b407*b427 + 0.5*b407*b431 + 0.5*b407*b432 + 0.5*b407*b439 + 0.5* b407*b440 + 0.5*b407*b445 + 0.5*b407*b446 + 0.5*b407*b447 + 0.5*b407*b448 + 0.5*b407*b450 + 0.5*b407*b456 + 0.5*b407*b459 + 0.5*b407*b460 + b407* b461 + 0.5*b407*b462 + 0.5*b407*b468 + 0.5*b407*b470 + 0.5*b407*b472 + 0.5 *b407*b473 + 0.5*b407*b474 + 0.5*b408*b409 + 0.5*b408*b411 + 0.5*b408*b412 + 0.5*b408*b413 + 0.5*b408*b414 + 0.5*b408*b415 + 0.5*b408*b424 + 0.5* b408*b427 + 0.5*b408*b432 + 0.5*b408*b439 + 0.5*b408*b445 + 0.5*b408*b446 + 0.5*b408*b447 + b408*b448 + 0.5*b408*b450 + 0.5*b408*b454 + 0.5*b408* b456 + 0.5*b408*b459 + b408*b460 + 0.5*b408*b461 + 0.5*b408*b462 + 0.5* b408*b468 + b408*b470 + 0.5*b408*b472 + 0.5*b408*b473 + 0.5*b408*b474 + 0.5*b409*b411 + 0.5*b409*b412 + 0.5*b409*b413 + 0.5*b409*b414 + b409*b415 + 0.5*b409*b417 + 0.5*b409*b424 + 0.5*b409*b426 + 0.5*b409*b427 + 0.5* b409*b431 + 0.5*b409*b432 + 0.5*b409*b439 + 0.5*b409*b440 + 0.5*b409*b445 + 0.5*b409*b446 + 0.5*b409*b447 + 0.5*b409*b448 + 0.5*b409*b450 + 0.5* b409*b456 + 0.5*b409*b459 + 0.5*b409*b460 + b409*b461 + 0.5*b409*b462 + 0.5*b409*b468 + 0.5*b409*b470 + 0.5*b409*b472 + 0.5*b409*b473 + 0.5*b409* b474 + 0.5*b410*b411 + 0.5*b410*b421 + 0.5*b410*b425 + 0.5*b410*b441 + 0.5 *b410*b445 + 0.5*b410*b446 + b410*b449 + 0.5*b410*b457 + b410*b466 + b410* b467 + 0.5*b410*b474 + 0.5*b411*b412 + 0.5*b411*b413 + 0.5*b411*b414 + 0.5 *b411*b415 + 0.5*b411*b421 + 0.5*b411*b424 + 0.5*b411*b425 + 0.5*b411*b427 + 0.5*b411*b432 + 0.5*b411*b439 + 0.5*b411*b441 + b411*b445 + b411*b446 + 0.5*b411*b447 + 0.5*b411*b448 + 0.5*b411*b449 + 0.5*b411*b450 + 0.5* b411*b456 + 0.5*b411*b457 + 0.5*b411*b459 + 0.5*b411*b460 + 0.5*b411*b461 + 0.5*b411*b462 + 0.5*b411*b466 + 0.5*b411*b467 + 0.5*b411*b468 + 0.5* b411*b470 + 0.5*b411*b472 + 0.5*b411*b473 + b411*b474 + 0.5*b412*b413 + b412*b414 + 0.5*b412*b415 + 0.5*b412*b424 + 0.5*b412*b427 + 0.5*b412*b432 + 0.5*b412*b434 + 0.5*b412*b439 + 0.5*b412*b445 + 0.5*b412*b446 + b412* b447 + 0.5*b412*b448 + 0.5*b412*b450 + 0.5*b412*b451 + 0.5*b412*b456 + 0.5 *b412*b459 + 0.5*b412*b460 + 0.5*b412*b461 + 0.5*b412*b462 + 0.5*b412*b468 + 0.5*b412*b470 + 0.5*b412*b472 + b412*b473 + 0.5*b412*b474 + 0.5*b413* b414 + 0.5*b413*b415 + b413*b424 + 0.5*b413*b427 + 0.5*b413*b432 + 0.5* b413*b437 + b413*b439 + 0.5*b413*b445 + 0.5*b413*b446 + 0.5*b413*b447 + 0.5*b413*b448 + b413*b450 + 0.5*b413*b453 + 0.5*b413*b456 + 0.5*b413*b459 + 0.5*b413*b460 + 0.5*b413*b461 + 0.5*b413*b462 + 0.5*b413*b463 + 0.5* b413*b468 + 0.5*b413*b470 + 0.5*b413*b472 + 0.5*b413*b473 + 0.5*b413*b474 + 0.5*b414*b415 + 0.5*b414*b424 + 0.5*b414*b427 + 0.5*b414*b432 + 0.5* b414*b434 + 0.5*b414*b439 + 0.5*b414*b445 + 0.5*b414*b446 + b414*b447 + 0.5*b414*b448 + 0.5*b414*b450 + 0.5*b414*b451 + 0.5*b414*b456 + 0.5*b414* b459 + 0.5*b414*b460 + 0.5*b414*b461 + 0.5*b414*b462 + 0.5*b414*b468 + 0.5 *b414*b470 + 0.5*b414*b472 + b414*b473 + 0.5*b414*b474 + 0.5*b415*b417 + 0.5*b415*b424 + 0.5*b415*b426 + 0.5*b415*b427 + 0.5*b415*b431 + 0.5*b415* b432 + 0.5*b415*b439 + 0.5*b415*b440 + 0.5*b415*b445 + 0.5*b415*b446 + 0.5 *b415*b447 + 0.5*b415*b448 + 0.5*b415*b450 + 0.5*b415*b456 + 0.5*b415*b459 + 0.5*b415*b460 + b415*b461 + 0.5*b415*b462 + 0.5*b415*b468 + 0.5*b415* b470 + 0.5*b415*b472 + 0.5*b415*b473 + 0.5*b415*b474 + 0.5*b416*b421 + 0.5 *b416*b422 + 0.5*b416*b423 + 0.5*b416*b425 + 0.5*b416*b436 + 0.5*b416*b438 + 0.5*b416*b441 + 0.5*b416*b442 + 0.5*b416*b452 + 0.5*b416*b454 + 0.5* b416*b455 + 0.5*b416*b456 + 0.5*b416*b457 + 0.5*b416*b459 + 0.5*b416*b462 + b416*b469 + b416*b471 + 0.5*b417*b418 + 0.5*b417*b420 + 0.5*b417*b423 + b417*b426 + 0.5*b417*b430 + b417*b431 + 0.5*b417*b433 + 0.5*b417*b434 + 0.5*b417*b435 + 0.5*b417*b437 + b417*b440 + 0.5*b417*b442 + 0.5*b417* b443 + 0.5*b417*b444 + 0.5*b417*b451 + 0.5*b417*b452 + 0.5*b417*b453 + 0.5 *b417*b461 + 0.5*b417*b463 + 0.5*b417*b465 + b418*b420 + 0.5*b418*b422 + 0.5*b418*b423 + 0.5*b418*b426 + 0.5*b418*b427 + b418*b430 + 0.5*b418*b431 + 0.5*b418*b432 + 0.5*b418*b433 + 0.5*b418*b434 + 0.5*b418*b435 + 0.5* b418*b436 + 0.5*b418*b437 + 0.5*b418*b438 + 0.5*b418*b440 + 0.5*b418*b442 + 0.5*b418*b443 + b418*b444 + 0.5*b418*b451 + 0.5*b418*b452 + 0.5*b418* b453 + 0.5*b418*b455 + 0.5*b418*b463 + 0.5*b418*b465 + 0.5*b418*b468 + 0.5 *b418*b472 + 0.5*b419*b428 + 0.5*b419*b429 + b419*b458 + b419*b464 + 0.5* b420*b422 + 0.5*b420*b423 + 0.5*b420*b426 + 0.5*b420*b427 + b420*b430 + 0.5*b420*b431 + 0.5*b420*b432 + 0.5*b420*b433 + 0.5*b420*b434 + 0.5*b420* b435 + 0.5*b420*b436 + 0.5*b420*b437 + 0.5*b420*b438 + 0.5*b420*b440 + 0.5 *b420*b442 + 0.5*b420*b443 + b420*b444 + 0.5*b420*b451 + 0.5*b420*b452 + 0.5*b420*b453 + 0.5*b420*b455 + 0.5*b420*b463 + 0.5*b420*b465 + 0.5*b420* b468 + 0.5*b420*b472 + 0.5*b421*b422 + b421*b425 + 0.5*b421*b436 + 0.5* b421*b438 + b421*b441 + 0.5*b421*b445 + 0.5*b421*b446 + 0.5*b421*b449 + 0.5*b421*b454 + 0.5*b421*b455 + b421*b457 + 0.5*b421*b466 + 0.5*b421*b467 + 0.5*b421*b469 + 0.5*b421*b471 + 0.5*b421*b474 + 0.5*b422*b425 + 0.5* b422*b427 + 0.5*b422*b430 + 0.5*b422*b432 + b422*b436 + b422*b438 + 0.5* b422*b441 + 0.5*b422*b444 + 0.5*b422*b454 + b422*b455 + 0.5*b422*b457 + 0.5*b422*b468 + 0.5*b422*b469 + 0.5*b422*b471 + 0.5*b422*b472 + 0.5*b423* b426 + 0.5*b423*b430 + 0.5*b423*b431 + 0.5*b423*b433 + 0.5*b423*b434 + 0.5 *b423*b435 + 0.5*b423*b437 + 0.5*b423*b440 + b423*b442 + 0.5*b423*b443 + 0.5*b423*b444 + 0.5*b423*b451 + b423*b452 + 0.5*b423*b453 + 0.5*b423*b456 + 0.5*b423*b459 + 0.5*b423*b462 + 0.5*b423*b463 + 0.5*b423*b465 + 0.5* b423*b469 + 0.5*b423*b471 + 0.5*b424*b427 + 0.5*b424*b432 + 0.5*b424*b437 + b424*b439 + 0.5*b424*b445 + 0.5*b424*b446 + 0.5*b424*b447 + 0.5*b424* b448 + b424*b450 + 0.5*b424*b453 + 0.5*b424*b456 + 0.5*b424*b459 + 0.5* b424*b460 + 0.5*b424*b461 + 0.5*b424*b462 + 0.5*b424*b463 + 0.5*b424*b468 + 0.5*b424*b470 + 0.5*b424*b472 + 0.5*b424*b473 + 0.5*b424*b474 + 0.5* b425*b436 + 0.5*b425*b438 + b425*b441 + 0.5*b425*b445 + 0.5*b425*b446 + 0.5*b425*b449 + 0.5*b425*b454 + 0.5*b425*b455 + b425*b457 + 0.5*b425*b466 + 0.5*b425*b467 + 0.5*b425*b469 + 0.5*b425*b471 + 0.5*b425*b474 + 0.5* b426*b430 + b426*b431 + 0.5*b426*b433 + 0.5*b426*b434 + 0.5*b426*b435 + 0.5*b426*b437 + b426*b440 + 0.5*b426*b442 + 0.5*b426*b443 + 0.5*b426*b444 + 0.5*b426*b451 + 0.5*b426*b452 + 0.5*b426*b453 + 0.5*b426*b461 + 0.5* b426*b463 + 0.5*b426*b465 + 0.5*b427*b430 + b427*b432 + 0.5*b427*b436 + 0.5*b427*b438 + 0.5*b427*b439 + 0.5*b427*b444 + 0.5*b427*b445 + 0.5*b427* b446 + 0.5*b427*b447 + 0.5*b427*b448 + 0.5*b427*b450 + 0.5*b427*b455 + 0.5 *b427*b456 + 0.5*b427*b459 + 0.5*b427*b460 + 0.5*b427*b461 + 0.5*b427*b462 + b427*b468 + 0.5*b427*b470 + b427*b472 + 0.5*b427*b473 + 0.5*b427*b474 + b428*b429 + 0.5*b428*b433 + 0.5*b428*b435 + 0.5*b428*b443 + 0.5*b428* b458 + 0.5*b428*b464 + 0.5*b428*b465 + 0.5*b429*b433 + 0.5*b429*b435 + 0.5 *b429*b443 + 0.5*b429*b458 + 0.5*b429*b464 + 0.5*b429*b465 + 0.5*b430*b431 + 0.5*b430*b432 + 0.5*b430*b433 + 0.5*b430*b434 + 0.5*b430*b435 + 0.5* b430*b436 + 0.5*b430*b437 + 0.5*b430*b438 + 0.5*b430*b440 + 0.5*b430*b442 + 0.5*b430*b443 + b430*b444 + 0.5*b430*b451 + 0.5*b430*b452 + 0.5*b430* b453 + 0.5*b430*b455 + 0.5*b430*b463 + 0.5*b430*b465 + 0.5*b430*b468 + 0.5 *b430*b472 + 0.5*b431*b433 + 0.5*b431*b434 + 0.5*b431*b435 + 0.5*b431*b437 + b431*b440 + 0.5*b431*b442 + 0.5*b431*b443 + 0.5*b431*b444 + 0.5*b431* b451 + 0.5*b431*b452 + 0.5*b431*b453 + 0.5*b431*b461 + 0.5*b431*b463 + 0.5 *b431*b465 + 0.5*b432*b436 + 0.5*b432*b438 + 0.5*b432*b439 + 0.5*b432*b444 + 0.5*b432*b445 + 0.5*b432*b446 + 0.5*b432*b447 + 0.5*b432*b448 + 0.5* b432*b450 + 0.5*b432*b455 + 0.5*b432*b456 + 0.5*b432*b459 + 0.5*b432*b460 + 0.5*b432*b461 + 0.5*b432*b462 + b432*b468 + 0.5*b432*b470 + b432*b472 + 0.5*b432*b473 + 0.5*b432*b474 + 0.5*b433*b434 + b433*b435 + 0.5*b433* b437 + 0.5*b433*b440 + 0.5*b433*b442 + b433*b443 + 0.5*b433*b444 + 0.5* b433*b451 + 0.5*b433*b452 + 0.5*b433*b453 + 0.5*b433*b463 + b433*b465 + 0.5*b434*b435 + 0.5*b434*b437 + 0.5*b434*b440 + 0.5*b434*b442 + 0.5*b434* b443 + 0.5*b434*b444 + 0.5*b434*b447 + b434*b451 + 0.5*b434*b452 + 0.5* b434*b453 + 0.5*b434*b463 + 0.5*b434*b465 + 0.5*b434*b473 + 0.5*b435*b437 + 0.5*b435*b440 + 0.5*b435*b442 + b435*b443 + 0.5*b435*b444 + 0.5*b435* b451 + 0.5*b435*b452 + 0.5*b435*b453 + 0.5*b435*b463 + b435*b465 + b436* b438 + 0.5*b436*b441 + 0.5*b436*b444 + 0.5*b436*b454 + b436*b455 + 0.5* b436*b457 + 0.5*b436*b468 + 0.5*b436*b469 + 0.5*b436*b471 + 0.5*b436*b472 + 0.5*b437*b439 + 0.5*b437*b440 + 0.5*b437*b442 + 0.5*b437*b443 + 0.5* b437*b444 + 0.5*b437*b450 + 0.5*b437*b451 + 0.5*b437*b452 + b437*b453 + b437*b463 + 0.5*b437*b465 + 0.5*b438*b441 + 0.5*b438*b444 + 0.5*b438*b454 + b438*b455 + 0.5*b438*b457 + 0.5*b438*b468 + 0.5*b438*b469 + 0.5*b438* b471 + 0.5*b438*b472 + 0.5*b439*b445 + 0.5*b439*b446 + 0.5*b439*b447 + 0.5 *b439*b448 + b439*b450 + 0.5*b439*b453 + 0.5*b439*b456 + 0.5*b439*b459 + 0.5*b439*b460 + 0.5*b439*b461 + 0.5*b439*b462 + 0.5*b439*b463 + 0.5*b439* b468 + 0.5*b439*b470 + 0.5*b439*b472 + 0.5*b439*b473 + 0.5*b439*b474 + 0.5 *b440*b442 + 0.5*b440*b443 + 0.5*b440*b444 + 0.5*b440*b451 + 0.5*b440*b452 + 0.5*b440*b453 + 0.5*b440*b461 + 0.5*b440*b463 + 0.5*b440*b465 + 0.5* b441*b445 + 0.5*b441*b446 + 0.5*b441*b449 + 0.5*b441*b454 + 0.5*b441*b455 + b441*b457 + 0.5*b441*b466 + 0.5*b441*b467 + 0.5*b441*b469 + 0.5*b441* b471 + 0.5*b441*b474 + 0.5*b442*b443 + 0.5*b442*b444 + 0.5*b442*b451 + b442*b452 + 0.5*b442*b453 + 0.5*b442*b456 + 0.5*b442*b459 + 0.5*b442*b462 + 0.5*b442*b463 + 0.5*b442*b465 + 0.5*b442*b469 + 0.5*b442*b471 + 0.5* b443*b444 + 0.5*b443*b451 + 0.5*b443*b452 + 0.5*b443*b453 + 0.5*b443*b463 + b443*b465 + 0.5*b444*b451 + 0.5*b444*b452 + 0.5*b444*b453 + 0.5*b444* b455 + 0.5*b444*b463 + 0.5*b444*b465 + 0.5*b444*b468 + 0.5*b444*b472 + b445*b446 + 0.5*b445*b447 + 0.5*b445*b448 + 0.5*b445*b449 + 0.5*b445*b450 + 0.5*b445*b456 + 0.5*b445*b457 + 0.5*b445*b459 + 0.5*b445*b460 + 0.5* b445*b461 + 0.5*b445*b462 + 0.5*b445*b466 + 0.5*b445*b467 + 0.5*b445*b468 + 0.5*b445*b470 + 0.5*b445*b472 + 0.5*b445*b473 + b445*b474 + 0.5*b446* b447 + 0.5*b446*b448 + 0.5*b446*b449 + 0.5*b446*b450 + 0.5*b446*b456 + 0.5 *b446*b457 + 0.5*b446*b459 + 0.5*b446*b460 + 0.5*b446*b461 + 0.5*b446*b462 + 0.5*b446*b466 + 0.5*b446*b467 + 0.5*b446*b468 + 0.5*b446*b470 + 0.5* b446*b472 + 0.5*b446*b473 + b446*b474 + 0.5*b447*b448 + 0.5*b447*b450 + 0.5*b447*b451 + 0.5*b447*b456 + 0.5*b447*b459 + 0.5*b447*b460 + 0.5*b447* b461 + 0.5*b447*b462 + 0.5*b447*b468 + 0.5*b447*b470 + 0.5*b447*b472 + b447*b473 + 0.5*b447*b474 + 0.5*b448*b450 + 0.5*b448*b454 + 0.5*b448*b456 + 0.5*b448*b459 + b448*b460 + 0.5*b448*b461 + 0.5*b448*b462 + 0.5*b448* b468 + b448*b470 + 0.5*b448*b472 + 0.5*b448*b473 + 0.5*b448*b474 + 0.5* b449*b457 + b449*b466 + b449*b467 + 0.5*b449*b474 + 0.5*b450*b453 + 0.5* b450*b456 + 0.5*b450*b459 + 0.5*b450*b460 + 0.5*b450*b461 + 0.5*b450*b462 + 0.5*b450*b463 + 0.5*b450*b468 + 0.5*b450*b470 + 0.5*b450*b472 + 0.5* b450*b473 + 0.5*b450*b474 + 0.5*b451*b452 + 0.5*b451*b453 + 0.5*b451*b463 + 0.5*b451*b465 + 0.5*b451*b473 + 0.5*b452*b453 + 0.5*b452*b456 + 0.5* b452*b459 + 0.5*b452*b462 + 0.5*b452*b463 + 0.5*b452*b465 + 0.5*b452*b469 + 0.5*b452*b471 + b453*b463 + 0.5*b453*b465 + 0.5*b454*b455 + 0.5*b454* b457 + 0.5*b454*b460 + 0.5*b454*b469 + 0.5*b454*b470 + 0.5*b454*b471 + 0.5 *b455*b457 + 0.5*b455*b468 + 0.5*b455*b469 + 0.5*b455*b471 + 0.5*b455*b472 + b456*b459 + 0.5*b456*b460 + 0.5*b456*b461 + b456*b462 + 0.5*b456*b468 + 0.5*b456*b469 + 0.5*b456*b470 + 0.5*b456*b471 + 0.5*b456*b472 + 0.5* b456*b473 + 0.5*b456*b474 + 0.5*b457*b466 + 0.5*b457*b467 + 0.5*b457*b469 + 0.5*b457*b471 + 0.5*b457*b474 + b458*b464 + 0.5*b459*b460 + 0.5*b459* b461 + b459*b462 + 0.5*b459*b468 + 0.5*b459*b469 + 0.5*b459*b470 + 0.5* b459*b471 + 0.5*b459*b472 + 0.5*b459*b473 + 0.5*b459*b474 + 0.5*b460*b461 + 0.5*b460*b462 + 0.5*b460*b468 + b460*b470 + 0.5*b460*b472 + 0.5*b460* b473 + 0.5*b460*b474 + 0.5*b461*b462 + 0.5*b461*b468 + 0.5*b461*b470 + 0.5 *b461*b472 + 0.5*b461*b473 + 0.5*b461*b474 + 0.5*b462*b468 + 0.5*b462*b469 + 0.5*b462*b470 + 0.5*b462*b471 + 0.5*b462*b472 + 0.5*b462*b473 + 0.5* b462*b474 + 0.5*b463*b465 + b466*b467 + 0.5*b466*b474 + 0.5*b467*b474 + 0.5*b468*b470 + b468*b472 + 0.5*b468*b473 + 0.5*b468*b474 + b469*b471 + 0.5*b470*b472 + 0.5*b470*b473 + 0.5*b470*b474 + 0.5*b472*b473 + 0.5*b472* b474 + 0.5*b473*b474 =L= 100; e4.. - b170 + b196 =G= 0; e5.. b170 - b171 =G= 0; e6.. b171 - b195 =G= 0; e7.. b297 - b305 =G= 0; e8.. - b299 + b305 =G= 0; e9.. b299 - b397 =G= 0; e10.. b257 - b358 =G= 0; e11.. - b332 + b358 =G= 0; e12.. b332 - b354 =G= 0; e13.. - b77 + b93 =G= 0; e14.. b77 - b98 =G= 0; e15.. - b54 + b98 =G= 0; e16.. b56 - b97 =G= 0; e17.. - b95 + b97 =G= 0; e18.. - b80 + b95 =G= 0; e19.. - b434 + b451 =G= 0; e20.. - b433 + b435 =G= 0; e21.. b433 - b465 =G= 0; e22.. - b443 + b465 =G= 0; e23.. b401 - b453 =G= 0; e24.. b453 - b463 =G= 0; e25.. - b437 + b463 =G= 0; e26.. - b417 + b431 =G= 0; e27.. b417 - b440 =G= 0; e28.. - b426 + b440 =G= 0; e29.. b418 - b444 =G= 0; e30.. - b430 + b444 =G= 0; e31.. - b420 + b430 =G= 0; e32.. - b402 + b442 =G= 0; e33.. b402 - b452 =G= 0; e34.. - b423 + b452 =G= 0; e35.. - b79 + b105 =G= 0; e36.. b79 - b92 =G= 0; e37.. - b81 + b92 =G= 0; e38.. - b78 + b91 =G= 0; e39.. - b59 + b169 =G= 0; e40.. b59 - b181 =G= 0; e41.. - b177 + b181 =G= 0; e42.. - b99 + b100 =G= 0; e43.. - b94 + b99 =G= 0; e44.. - b57 + b94 =G= 0; e45.. - b101 + b102 =G= 0; e46.. - b58 + b101 =G= 0; e47.. b58 - b104 =G= 0; e48.. b76 - b103 =G= 0; e49.. - b55 + b103 =G= 0; e50.. b55 - b96 =G= 0; e51.. b179 - b187 =G= 0; e52.. b180 - b194 =G= 0; e53.. - b188 + b194 =G= 0; e54.. b47 - b62 =G= 0; e55.. - b46 + b62 =G= 0; e56.. - b45 + b46 =G= 0; e57.. - b63 + b66 =G= 0; e58.. - b50 + b63 =G= 0; e59.. b50 - b51 =G= 0; e60.. b49 - b68 =G= 0; e61.. - b48 + b68 =G= 0; e62.. b48 - b73 =G= 0; e63.. b192 - b197 =G= 0; e64.. - b193 + b197 =G= 0; e65.. - b186 + b193 =G= 0; e66.. - b60 + b61 =G= 0; e67.. b60 - b71 =G= 0; e68.. - b52 + b71 =G= 0; e69.. - b53 + b173 =G= 0; e70.. b53 - b67 =G= 0; e71.. b67 - b238 =G= 0; e72.. b65 - b70 =G= 0; e73.. - b69 + b70 =G= 0; e74.. b64 - b72 =G= 0; e75.. b72 - b74 =G= 0; e76.. b74 - b75 =G= 0; e77.. - b410 + b449 =G= 0; e78.. b410 - b466 =G= 0; e79.. b466 - b467 =G= 0; e80.. b259 - b335 =G= 0; e81.. b335 - b385 =G= 0; e82.. - b380 + b385 =G= 0; e83.. b268 - b326 =G= 0; e84.. b324 - b384 =G= 0; e85.. - b231 + b384 =G= 0; e86.. - b217 + b231 =G= 0; e87.. b225 - b370 =G= 0; e88.. - b329 + b370 =G= 0; e89.. - b304 + b329 =G= 0; e90.. b248 - b263 =G= 0; e91.. - b344 + b383 =G= 0; e92.. b344 - b372 =G= 0; e93.. - b367 + b372 =G= 0; e94.. - b294 + b300 =G= 0; e95.. - b209 + b294 =G= 0; e96.. b209 - b256 =G= 0; e97.. b184 - b191 =G= 0; e98.. - b176 + b191 =G= 0; e99.. - b174 + b176 =G= 0; e100.. b303 - b357 =G= 0; e101.. - b237 + b357 =G= 0; e102.. - b236 + b237 =G= 0; e103.. - b276 + b281 =G= 0; e104.. b276 - b279 =G= 0; e105.. b279 - b381 =G= 0; e106.. - b436 + b455 =G= 0; e107.. - b422 + b436 =G= 0; e108.. b422 - b438 =G= 0; e109.. b421 - b425 =G= 0; e110.. b425 - b441 =G= 0; e111.. b441 - b457 =G= 0; e112.. b405 - b471 =G= 0; e113.. - b416 + b471 =G= 0; e114.. b416 - b469 =G= 0; e115.. - b283 + b338 =G= 0; e116.. - b272 + b283 =G= 0; e117.. - b266 + b272 =G= 0; e118.. b347 - b360 =G= 0; e119.. - b327 + b360 =G= 0; e120.. - b246 + b327 =G= 0; e121.. b307 - b343 =G= 0; e122.. b343 - b393 =G= 0; e123.. b393 - b400 =G= 0; e124.. - b301 + b323 =G= 0; e125.. b301 - b396 =G= 0; e126.. - b273 + b396 =G= 0; e127.. - b269 + b353 =G= 0; e128.. b269 - b362 =G= 0; e129.. - b359 + b362 =G= 0; e130.. b252 - b328 =G= 0; e131.. - b306 + b328 =G= 0; e132.. - b293 + b306 =G= 0; e133.. - b183 + b185 =G= 0; e134.. - b175 + b183 =G= 0; e135.. b175 - b182 =G= 0; e136.. - b412 + b447 =G= 0; e137.. b412 - b414 =G= 0; e138.. b414 - b473 =G= 0; e139.. - b408 + b448 =G= 0; e140.. b408 - b460 =G= 0; e141.. b460 - b470 =G= 0; e142.. b424 - b450 =G= 0; e143.. - b439 + b450 =G= 0; e144.. - b413 + b439 =G= 0; e145.. - b407 + b415 =G= 0; e146.. b407 - b409 =G= 0; e147.. b409 - b461 =G= 0; e148.. - b427 + b432 =G= 0; e149.. b427 - b468 =G= 0; e150.. b468 - b472 =G= 0; e151.. b411 - b446 =G= 0; e152.. b446 - b474 =G= 0; e153.. - b445 + b474 =G= 0; e154.. - b406 + b462 =G= 0; e155.. b406 - b456 =G= 0; e156.. b456 - b459 =G= 0; e157.. - b229 + b290 =G= 0; e158.. - b212 + b229 =G= 0; e159.. b212 - b255 =G= 0; e160.. - b230 + b235 =G= 0; e161.. b230 - b292 =G= 0; e162.. b232 - b346 =G= 0; e163.. - b270 + b346 =G= 0; e164.. - b242 + b270 =G= 0; e165.. - b210 + b287 =G= 0; e166.. - b216 + b227 =G= 0; e167.. b216 - b295 =G= 0; e168.. - b275 + b295 =G= 0; e169.. b419 - b458 =G= 0; e170.. b458 - b464 =G= 0; e171.. - b404 + b429 =G= 0; e172.. b404 - b428 =G= 0; e173.. - b403 + b428 =G= 0; e174.. - b233 + b264 =G= 0; e175.. - b220 + b233 =G= 0; e176.. b220 - b265 =G= 0; e177.. b376 - b390 =G= 0; e178.. - b368 + b390 =G= 0; e179.. - b351 + b368 =G= 0; e180.. b226 - b239 =G= 0; e181.. b239 - b391 =G= 0; e182.. - b234 + b391 =G= 0; e183.. b223 - b342 =G= 0; e184.. b342 - b355 =G= 0; e185.. - b211 + b355 =G= 0; e186.. b250 - b271 =G= 0; e187.. - b260 + b271 =G= 0; e188.. b260 - b386 =G= 0; e189.. b350 - b399 =G= 0; e190.. - b314 + b399 =G= 0; e191.. b314 - b361 =G= 0; e192.. b258 - b325 =G= 0; e193.. b325 - b349 =G= 0; e194.. - b261 + b349 =G= 0; e195.. - b291 + b309 =G= 0; e196.. b291 - b320 =G= 0; e197.. b320 - b377 =G= 0; e198.. b228 - b333 =G= 0; e199.. - b316 + b333 =G= 0; e200.. b316 - b356 =G= 0; e201.. - b215 + b311 =G= 0; e202.. b330 - b392 =G= 0; e203.. - b348 + b392 =G= 0; e204.. - b312 + b348 =G= 0; e205.. - b336 + b339 =G= 0; e206.. b253 - b322 =G= 0; e207.. - b288 + b322 =G= 0; e208.. - b280 + b288 =G= 0; e209.. b363 - b375 =G= 0; e210.. - b254 + b375 =G= 0; e211.. b254 - b371 =G= 0; e212.. b221 - b245 =G= 0; e213.. b245 - b364 =G= 0; e214.. - b251 + b364 =G= 0; e215.. b213 - b247 =G= 0; e216.. b247 - b286 =G= 0; e217.. b286 - b387 =G= 0; e218.. b321 - b366 =G= 0; e219.. - b315 + b366 =G= 0; e220.. b315 - b319 =G= 0; e221.. b224 - b331 =G= 0; e222.. b331 - b395 =G= 0; e223.. - b219 + b395 =G= 0; e224.. - b218 + b282 =G= 0; e225.. b218 - b398 =G= 0; e226.. - b382 + b398 =G= 0; e227.. - b345 + b394 =G= 0; e228.. - b310 + b345 =G= 0; e229.. b310 - b389 =G= 0; e230.. b241 - b337 =G= 0; e231.. - b334 + b337 =G= 0; e232.. - b243 + b334 =G= 0; e233.. - b277 + b374 =G= 0; e234.. - b249 + b277 =G= 0; e235.. b249 - b365 =G= 0; e236.. - b267 + b298 =G= 0; e237.. b267 - b378 =G= 0; e238.. b378 - b379 =G= 0; e239.. - b240 + b313 =G= 0; e240.. - b222 + b240 =G= 0; e241.. b222 - b352 =G= 0; e242.. - b262 + b285 =G= 0; e243.. b262 - b340 =G= 0; e244.. - b296 + b340 =G= 0; e245.. - b172 + b189 =G= 0; e246.. b172 - b190 =G= 0; e247.. - b178 + b190 =G= 0; * set non-default bounds x475.fx = 0; x476.fx = 0; x477.fx = 0; x478.fx = 0; x479.fx = 0; x480.fx = 0; x481.fx = 0; x482.fx = 0; x483.fx = 0; x484.fx = 0; x485.fx = 0; x486.fx = 0; x487.fx = 0; x488.fx = 0; x489.fx = 0; x490.fx = 0; x491.fx = 0; x492.fx = 0; x493.fx = 0; x494.fx = 0; x495.fx = 0; x496.fx = 0; x497.fx = 0; x498.fx = 0; x499.fx = 0; x500.fx = 0; x501.fx = 0; x502.fx = 0; x503.fx = 0; x504.fx = 0; x505.fx = 0; x506.fx = 0; x507.fx = 0; x508.fx = 0; x509.fx = 0; x510.fx = 0; x511.fx = 0; x512.fx = 0; x513.fx = 0; x514.fx = 0; x515.fx = 0; x516.fx = 0; x517.fx = 0; x518.fx = 0; x519.fx = 0; x520.fx = 0; x521.fx = 0; x522.fx = 0; x523.fx = 0; x524.fx = 0; x525.fx = 0; x526.fx = 0; x527.fx = 0; x528.fx = 0; x529.fx = 0; x530.fx = 0; x531.fx = 0; x532.fx = 0; x533.fx = 0; x534.fx = 0; x535.fx = 0; x536.fx = 0; x537.fx = 0; x538.fx = 0; x539.fx = 0; x540.fx = 0; x541.fx = 0; x542.fx = 0; x543.fx = 0; x544.fx = 0; x545.fx = 0; x546.fx = 0; x547.fx = 0; x548.fx = 0; x549.fx = 0; x550.fx = 0; x551.fx = 0; x552.fx = 0; x553.fx = 0; x554.fx = 0; x555.fx = 0; x556.fx = 0; x557.fx = 0; x558.fx = 0; x559.fx = 0; x560.fx = 0; x561.fx = 0; x562.fx = 0; x563.fx = 0; x564.fx = 0; x565.fx = 0; x566.fx = 0; x567.fx = 0; x568.fx = 0; x569.fx = 0; x570.fx = 0; x571.fx = 0; x572.fx = 0; x573.fx = 0; x574.fx = 0; x575.fx = 0; x576.fx = 0; x577.fx = 0; x578.fx = 0; x579.fx = 0; x580.fx = 0; x581.fx = 0; x582.fx = 0; x583.fx = 0; x584.fx = 0; x585.fx = 0; x586.fx = 0; x587.fx = 0; x588.fx = 0; x589.fx = 0; x590.fx = 0; x591.fx = 0; x592.fx = 0; x593.fx = 0; x594.fx = 0; x595.fx = 0; x596.fx = 0; x597.fx = 0; x598.fx = 0; x599.fx = 0; x600.fx = 0; x601.fx = 0; x602.fx = 0; x603.fx = 0; x604.fx = 0; x605.fx = 0; x606.fx = 0; Model m / all /; m.limrow=0; m.limcol=0; m.tolproj=0.0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set MINLP $set MINLP MINLP Solve m using %MINLP% minimizing objvar;
Last updated: 2024-12-17 Git hash: 8eaceb91