MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: pedigree_ex485_2

Optimize selection of a fixed-size breeding population under a relatedness constraint
Formats ams gms lp mod osil pip
Primal Bounds (infeas ≤ 1e-08)
-25766.82000000 p1 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
-25766.82003000 (ANTIGONE)
-25766.82003000 (BARON)
-25768.37056000 (COUENNE)
-25766.82000000 (LINDO)
-25766.82000000 (SCIP)
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 10001, 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 485
#Binary Variables 426
#Integer Variables 0
#Nonlinear Variables 485
#Nonlinear Binary Variables 426
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 426
#Nonlinear Nonzeros in Objective 0
#Constraints 296
#Linear Constraints 295
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1499
#Nonlinear Nonzeros in Jacobian 485
#Nonzeros in (Upper-Left) Hessian of Lagrangian 15359
#Nonzeros in Diagonal of Hessian of Lagrangian 485
#Blocks in Hessian of Lagrangian 28
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 266
Average blocksize in Hessian of Lagrangian 17.321429
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 50
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        297        2      294        1        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        486       60      426        0        0        0        0        0
*  FX     59
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1926     1441      485        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
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486;

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;

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;


e1..    objvar + 417.92*b2 + 405.16*b3 + 332.82*b4 + 507.81*b5 + 371.17*b6
      + 672.57*b7 + 324.99*b8 + 336.74*b9 + 369.55*b10 + 381.53*b11 + 379.6*b12
      + 424.5*b13 + 320.94*b14 + 338.61*b15 + 488.5*b16 + 370.78*b17
      + 334.61*b18 + 401.86*b19 + 343.41*b20 + 328.32*b21 + 336.1*b22
      + 358.41*b23 + 388.77*b24 + 323.27*b25 + 350.02*b26 + 328.83*b27
      + 358.66*b28 + 321.79*b29 + 328.93*b30 + 328.09*b31 + 453.3*b32
      + 392.21*b33 + 431.92*b34 + 348.96*b35 + 374.78*b36 + 425.05*b37
      + 329.03*b38 + 348.89*b39 + 355.55*b40 + 368.04*b41 + 362.49*b42
      + 376.86*b43 + 439.44*b44 + 432.17*b45 + 382.38*b46 + 333.04*b47
      + 330.51*b48 + 327.69*b49 + 337.84*b50 + 340.49*b51 + 339.86*b52
      + 429.08*b53 + 374.59*b54 + 344.56*b55 + 343.24*b56 + 339.38*b57
      + 333.55*b58 + 398.36*b59 + 403.09*b60 + 410.6*b61 + 400.3*b62
      + 334.55*b63 + 327.73*b64 + 324.69*b65 + 334.67*b66 + 332.78*b67
      + 394.2*b68 + 340.78*b69 + 323.53*b70 + 398.63*b71 + 395.46*b72
      + 359.61*b73 + 362.79*b74 + 432.48*b75 + 358.69*b76 + 430.79*b77
      + 443.01*b78 + 323.68*b79 + 445.6*b80 + 382.07*b81 + 364.21*b82
      + 371.06*b83 + 390.72*b84 + 361.58*b85 + 348.16*b86 + 328.44*b87
      + 334.48*b88 + 322.2*b89 + 331.19*b90 + 322.28*b91 + 329.42*b92
      + 329.28*b93 + 354.92*b94 + 329.63*b95 + 334.32*b96 + 325.65*b97
      + 353.47*b98 + 350.56*b99 + 347.69*b100 + 333.16*b101 + 349.8*b102
      + 349*b103 + 345.92*b104 + 336.93*b105 + 329.54*b106 + 344.98*b107
      + 352.25*b108 + 353.73*b109 + 409.07*b110 + 413.63*b111 + 346.7*b112
      + 383.68*b113 + 378.78*b114 + 544.15*b115 + 444.24*b116 + 418.93*b117
      + 375.07*b118 + 549.94*b119 + 584.09*b120 + 559.85*b121 + 396.38*b122
      + 394.59*b123 + 400.81*b124 + 361.27*b125 + 398.91*b126 + 579.44*b127
      + 601.26*b128 + 610.33*b129 + 619.24*b130 + 481.14*b131 + 392.81*b132
      + 444.94*b133 + 405.95*b134 + 476.68*b135 + 580.08*b136 + 496.41*b137
      + 483.82*b138 + 394.77*b139 + 567.67*b140 + 492.52*b141 + 328.77*b142
      + 419.35*b143 + 360.37*b144 + 325.03*b145 + 436.09*b146 + 509.49*b147
      + 324.12*b148 + 340.7*b149 + 332.15*b150 + 465.05*b151 + 341.97*b152
      + 489.03*b153 + 474.72*b154 + 422.27*b155 + 359.53*b156 + 364.99*b157
      + 365.7*b158 + 395.1*b159 + 349*b160 + 336.84*b161 + 428.05*b162
      + 448.53*b163 + 327.53*b164 + 333.64*b165 + 397.36*b166 + 396.05*b167
      + 490.62*b168 + 340.66*b169 + 361.16*b170 + 379.48*b171 + 345.98*b172
      + 323.01*b173 + 338.28*b174 + 364.16*b175 + 348.35*b176 + 430.88*b177
      + 318.82*b178 + 488.32*b179 + 354.55*b180 + 465.55*b181 + 437.12*b182
      + 328.72*b183 + 474.1*b184 + 662.23*b185 + 492.63*b186 + 318.13*b187
      + 372.08*b188 + 407.31*b189 + 343.76*b190 + 459.43*b191 + 441.57*b192
      + 479.99*b193 + 400.74*b194 + 432.39*b195 + 348.98*b196 + 475.03*b197
      + 478.79*b198 + 383.92*b199 + 379.05*b200 + 423.72*b201 + 351.91*b202
      + 495.72*b203 + 484.77*b204 + 330.43*b205 + 456.88*b206 + 364.05*b207
      + 319.14*b208 + 391.49*b209 + 476.88*b210 + 328.14*b211 + 372.95*b212
      + 372.68*b213 + 333.26*b214 + 364.23*b215 + 398.84*b216 + 379.81*b217
      + 491.59*b218 + 337*b219 + 321.57*b220 + 368.84*b221 + 471.71*b222
      + 488.66*b223 + 336.95*b224 + 403.8*b225 + 338.43*b226 + 456.84*b227
      + 331.36*b228 + 453.6*b229 + 324.9*b230 + 396.26*b231 + 366.13*b232
      + 328.25*b233 + 323.43*b234 + 366.93*b235 + 345.88*b236 + 454.67*b237
      + 492.69*b238 + 380.62*b239 + 321.81*b240 + 361.14*b241 + 400.94*b242
      + 431.67*b243 + 338.58*b244 + 450.7*b245 + 485.82*b246 + 334.32*b247
      + 377.12*b248 + 513.12*b249 + 442.11*b250 + 376.98*b251 + 437.34*b252
      + 329.52*b253 + 503.56*b254 + 437.4*b255 + 364.97*b256 + 499.5*b257
      + 358.66*b258 + 436.24*b259 + 320.38*b260 + 665.54*b261 + 408.61*b262
      + 328.94*b263 + 427.48*b264 + 363.95*b265 + 410.55*b266 + 431.52*b267
      + 392.5*b268 + 382.61*b269 + 338.12*b270 + 652.75*b271 + 331.44*b272
      + 339.81*b273 + 403.39*b274 + 494.89*b275 + 372.98*b276 + 341.95*b277
      + 343.11*b278 + 690.72*b279 + 381.65*b280 + 412.7*b281 + 432.01*b282
      + 320.39*b283 + 354.55*b284 + 374.54*b285 + 416.54*b286 + 357.01*b287
      + 478.42*b288 + 393.81*b289 + 419.81*b290 + 335.65*b291 + 362.02*b292
      + 342.39*b293 + 432.8*b294 + 451.98*b295 + 671.27*b296 + 456.3*b297
      + 458.44*b298 + 472.43*b299 + 355.62*b300 + 348.84*b301 + 446.1*b302
      + 379.63*b303 + 351.32*b304 + 397.86*b305 + 374.25*b306 + 381.2*b307
      + 344.28*b308 + 410.62*b309 + 448.87*b310 + 406.71*b311 + 401.51*b312
      + 321.49*b313 + 362.93*b314 + 345.16*b315 + 451.24*b316 + 481.29*b317
      + 318.72*b318 + 471.72*b319 + 334.38*b320 + 371.67*b321 + 371.63*b322
      + 479.78*b323 + 349.1*b324 + 322.74*b325 + 484.64*b326 + 389.16*b327
      + 371.79*b328 + 342.39*b329 + 407.79*b330 + 402.71*b331 + 502.19*b332
      + 343.03*b333 + 479.58*b334 + 353.9*b335 + 343.14*b336 + 388.83*b337
      + 451.75*b338 + 397.92*b339 + 381.16*b340 + 368.29*b341 + 364.07*b342
      + 403.89*b343 + 321.17*b344 + 402.02*b345 + 322.88*b346 + 328.65*b347
      + 347.65*b348 + 407.95*b349 + 376.75*b350 + 356.23*b351 + 374.55*b352
      + 374.73*b353 + 324.6*b354 + 367.01*b355 + 402.29*b356 + 382.65*b357
      + 328.9*b358 + 370.96*b359 + 398.59*b360 + 378.73*b361 + 346.23*b362
      + 326.77*b363 + 388.04*b364 + 397.71*b365 + 324.37*b366 + 344.19*b367
      + 348.78*b368 + 406.7*b369 + 327.68*b370 + 338.01*b371 + 385.06*b372
      + 373.67*b373 + 417.14*b374 + 350.65*b375 + 323.46*b376 + 355.05*b377
      + 334.17*b378 + 325.03*b379 + 380.33*b380 + 370.75*b381 + 343.57*b382
      + 402.75*b383 + 336.58*b384 + 391.06*b385 + 330.96*b386 + 385.86*b387
      + 392.96*b388 + 358.2*b389 + 370.73*b390 + 329.42*b391 + 393.31*b392
      + 362.69*b393 + 341.14*b394 + 368.05*b395 + 344.76*b396 + 397.72*b397
      + 342.96*b398 + 394.57*b399 + 350.1*b400 + 393.08*b401 + 372.91*b402
      + 322.38*b403 + 411.47*b404 + 319.54*b405 + 385.19*b406 + 347.26*b407
      + 364.02*b408 + 363.57*b409 + 402.76*b410 + 346.68*b411 + 326.49*b412
      + 346.26*b413 + 330.35*b414 + 399.96*b415 + 333.16*b416 + 389.3*b417
      + 353.45*b418 + 338.91*b419 + 346.83*b420 + 349.81*b421 + 346.32*b422
      + 336.43*b423 + 342.45*b424 + 360.25*b425 + 331.98*b426 + 346.17*b427
      =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 =E= 50;

e3.. sqr(b2) + sqr(b55) + sqr(b56) + sqr(b57) + sqr(b99) + sqr(b100) + sqr(b102
     ) + sqr(b103) + sqr(b105) + sqr(b106) + sqr(b107) + sqr(b112) + sqr(b139)
      + sqr(b143) + sqr(b153) + sqr(b155) + sqr(b168) + sqr(b179) + sqr(b185)
      + sqr(b197) + sqr(b199) + sqr(b203) + sqr(b204) + sqr(b246) + sqr(b248)
      + sqr(b249) + sqr(b261) + sqr(b264) + sqr(b266) + sqr(b267) + sqr(b269)
      + sqr(b271) + sqr(b275) + sqr(b279) + sqr(b280) + sqr(b286) + sqr(b287)
      + sqr(b290) + sqr(b294) + sqr(b296) + sqr(b314) + sqr(b317) + sqr(b319)
      + sqr(b321) + sqr(b326) + sqr(b328) + sqr(b330) + sqr(b332) + sqr(b340)
      + sqr(b341) + sqr(b342) + sqr(b343) + sqr(b3) + sqr(b58) + sqr(b59) + 
     sqr(b60) + sqr(b101) + sqr(b104) + sqr(b108) + sqr(b109) + sqr(b110) + 
     sqr(b111) + sqr(b113) + sqr(b114) + sqr(b116) + sqr(b123) + sqr(b126) + 
     sqr(b132) + sqr(b4) + sqr(b131) + sqr(b135) + sqr(b137) + sqr(b138) + sqr(
     b141) + sqr(b5) + sqr(b44) + sqr(b45) + sqr(b46) + sqr(b51) + sqr(b52) + 
     sqr(b53) + sqr(b61) + sqr(b62) + sqr(b63) + sqr(b64) + sqr(b65) + sqr(b66)
      + sqr(b67) + sqr(b68) + sqr(b69) + sqr(b70) + sqr(b71) + sqr(b72) + sqr(
     b75) + sqr(b77) + sqr(b78) + sqr(b80) + sqr(b81) + sqr(b84) + sqr(b6) + 
     sqr(b39) + sqr(b40) + sqr(b41) + sqr(b42) + sqr(b43) + sqr(b54) + sqr(b73)
      + sqr(b74) + sqr(b76) + sqr(b82) + sqr(b83) + sqr(b85) + sqr(b86) + sqr(
     b118) + sqr(b175) + sqr(b7) + sqr(b115) + sqr(b119) + sqr(b120) + sqr(b121
     ) + sqr(b127) + sqr(b128) + sqr(b129) + sqr(b130) + sqr(b136) + sqr(b140)
      + sqr(b146) + sqr(b163) + sqr(b166) + sqr(b177) + sqr(b180) + sqr(b192)
      + sqr(b195) + sqr(b206) + sqr(b207) + sqr(b210) + sqr(b222) + sqr(b227)
      + sqr(b231) + sqr(b235) + sqr(b236) + sqr(b238) + sqr(b241) + sqr(b242)
      + sqr(b243) + sqr(b257) + sqr(b262) + sqr(b274) + sqr(b276) + sqr(b277)
      + sqr(b288) + sqr(b295) + sqr(b297) + sqr(b307) + sqr(b310) + sqr(b331)
      + sqr(b334) + sqr(b335) + sqr(b336) + sqr(b337) + sqr(b339) + sqr(b8) + 
     sqr(b350) + sqr(b352) + sqr(b357) + sqr(b359) + sqr(b368) + sqr(b373) + 
     sqr(b381) + sqr(b395) + sqr(b402) + sqr(b411) + sqr(b9) + sqr(b349) + sqr(
     b351) + sqr(b356) + sqr(b365) + sqr(b366) + sqr(b369) + sqr(b374) + sqr(
     b387) + sqr(b388) + sqr(b389) + sqr(b396) + sqr(b397) + sqr(b399) + sqr(
     b400) + sqr(b401) + sqr(b404) + sqr(b406) + sqr(b410) + sqr(b413) + sqr(
     b415) + sqr(b417) + sqr(b10) + sqr(b353) + sqr(b360) + sqr(b361) + sqr(
     b363) + sqr(b372) + sqr(b378) + sqr(b379) + sqr(b385) + sqr(b394) + sqr(
     b403) + sqr(b11) + sqr(b355) + sqr(b362) + sqr(b367) + sqr(b382) + sqr(
     b390) + sqr(b393) + sqr(b398) + sqr(b408) + sqr(b409) + sqr(b416) + sqr(
     b12) + sqr(b345) + sqr(b348) + sqr(b354) + sqr(b358) + sqr(b364) + sqr(
     b380) + sqr(b383) + sqr(b392) + sqr(b412) + sqr(b414) + sqr(b13) + sqr(
     b117) + sqr(b122) + sqr(b124) + sqr(b133) + sqr(b134) + sqr(b149) + sqr(
     b159) + sqr(b160) + sqr(b164) + sqr(b169) + sqr(b171) + sqr(b176) + sqr(
     b211) + sqr(b224) + sqr(b230) + sqr(b233) + sqr(b270) + sqr(b285) + sqr(
     b303) + sqr(b306) + sqr(b312) + sqr(b327) + sqr(b329) + sqr(b14) + sqr(
     b145) + sqr(b156) + sqr(b189) + sqr(b198) + sqr(b200) + sqr(b201) + sqr(
     b209) + sqr(b220) + sqr(b256) + sqr(b259) + sqr(b273) + sqr(b281) + sqr(
     b282) + sqr(b283) + sqr(b291) + sqr(b322) + sqr(b15) + sqr(b16) + sqr(b147
     ) + sqr(b151) + sqr(b152) + sqr(b154) + sqr(b157) + sqr(b167) + sqr(b181)
      + sqr(b182) + sqr(b184) + sqr(b186) + sqr(b191) + sqr(b193) + sqr(b194)
      + sqr(b216) + sqr(b218) + sqr(b223) + sqr(b225) + sqr(b226) + sqr(b229)
      + sqr(b245) + sqr(b250) + sqr(b252) + sqr(b254) + sqr(b255) + sqr(b265)
      + sqr(b289) + sqr(b298) + sqr(b299) + sqr(b302) + sqr(b305) + sqr(b311)
      + sqr(b316) + sqr(b323) + sqr(b333) + sqr(b338) + sqr(b17) + sqr(b161) + 
     sqr(b172) + sqr(b188) + sqr(b213) + sqr(b278) + sqr(b284) + sqr(b300) + 
     sqr(b301) + sqr(b309) + sqr(b324) + sqr(b18) + sqr(b19) + sqr(b20) + sqr(
     b21) + sqr(b22) + sqr(b23) + sqr(b24) + sqr(b25) + sqr(b26) + sqr(b27) + 
     sqr(b28) + sqr(b29) + sqr(b30) + sqr(b31) + sqr(b32) + sqr(b33) + sqr(b34)
      + sqr(b35) + sqr(b36) + sqr(b37) + sqr(b38) + sqr(x428) + sqr(x429) + 
     sqr(x430) + sqr(b47) + sqr(b48) + sqr(b87) + sqr(b90) + sqr(b91) + sqr(b92
     ) + sqr(b93) + sqr(b96) + sqr(x431) + sqr(x432) + sqr(b95) + sqr(b98) + 
     sqr(x433) + sqr(b49) + sqr(b50) + sqr(b88) + sqr(b89) + sqr(b94) + sqr(b97
     ) + sqr(b125) + sqr(x434) + sqr(x435) + sqr(x436) + sqr(x437) + sqr(x438)
      + sqr(x439) + sqr(x440) + sqr(x441) + sqr(x442) + sqr(x443) + sqr(x444)
      + sqr(b79) + sqr(b183) + sqr(x445) + sqr(x446) + sqr(x447) + sqr(x448) + 
     sqr(x449) + sqr(b144) + sqr(b173) + sqr(b174) + sqr(b190) + sqr(b196) + 
     sqr(b212) + sqr(b215) + sqr(b217) + sqr(b232) + sqr(b237) + sqr(b239) + 
     sqr(b293) + sqr(b308) + sqr(b315) + sqr(b318) + sqr(x450) + sqr(b178) + 
     sqr(b202) + sqr(b219) + sqr(b221) + sqr(b234) + sqr(b272) + sqr(x451) + 
     sqr(x452) + sqr(b142) + sqr(b150) + sqr(b158) + sqr(b162) + sqr(b165) + 
     sqr(b170) + sqr(b187) + sqr(b205) + sqr(b240) + sqr(b251) + sqr(b258) + 
     sqr(b260) + sqr(b263) + sqr(b268) + sqr(b292) + sqr(b304) + sqr(b320) + 
     sqr(b325) + sqr(x453) + sqr(x454) + sqr(x455) + sqr(b148) + sqr(x456) + 
     sqr(x457) + sqr(x458) + sqr(x459) + sqr(x460) + sqr(x461) + sqr(b208) + 
     sqr(b228) + sqr(b244) + sqr(b253) + sqr(b313) + sqr(x462) + sqr(b214) + 
     sqr(b247) + sqr(x463) + sqr(x464) + sqr(x465) + sqr(x466) + sqr(x467) + 
     sqr(x468) + sqr(x469) + sqr(x470) + sqr(x471) + sqr(x472) + sqr(x473) + 
     sqr(x474) + sqr(x475) + sqr(b344) + sqr(b375) + sqr(b376) + sqr(b377) + 
     sqr(b384) + sqr(b386) + sqr(b391) + sqr(b407) + sqr(x476) + sqr(x477) + 
     sqr(b346) + sqr(b347) + sqr(b370) + sqr(b371) + sqr(b405) + sqr(x478) + 
     sqr(x479) + sqr(x480) + sqr(x481) + sqr(x482) + sqr(x483) + sqr(b418) + 
     sqr(b419) + sqr(b420) + sqr(b421) + sqr(b422) + sqr(b423) + sqr(b424) + 
     sqr(b425) + sqr(b426) + sqr(b427) + sqr(x484) + sqr(x485) + sqr(x486) + b2
     *b55 + b2*b56 + b2*b57 + b2*b99 + b2*b100 + b2*b102 + b2*b103 + b2*b105 + 
     b2*b106 + b2*b107 + b2*b112 + b2*b139 + b2*b143 + b2*b153 + b2*b155 + b2*
     b168 + b2*b179 + b2*b185 + b2*b197 + b2*b199 + b2*b203 + b2*b204 + b2*b246
      + b2*b248 + b2*b249 + b2*b261 + b2*b264 + b2*b266 + b2*b267 + b2*b269 + 
     b2*b271 + b2*b275 + b2*b279 + b2*b280 + b2*b286 + b2*b287 + b2*b290 + b2*
     b294 + b2*b296 + b2*b314 + b2*b317 + b2*b319 + b2*b321 + b2*b326 + b2*b328
      + b2*b330 + b2*b332 + b2*b340 + b2*b341 + b2*b342 + b2*b343 + b3*b58 + b3
     *b59 + b3*b60 + b3*b101 + b3*b104 + b3*b108 + b3*b109 + b3*b110 + b3*b111
      + b3*b113 + b3*b114 + b3*b116 + b3*b123 + b3*b126 + b3*b132 + b4*b131 + 
     b4*b135 + b4*b137 + b4*b138 + b4*b141 + b5*b44 + b5*b45 + b5*b46 + b5*b51
      + b5*b52 + b5*b53 + b5*b61 + b5*b62 + b5*b63 + b5*b64 + b5*b65 + b5*b66
      + b5*b67 + b5*b68 + b5*b69 + b5*b70 + b5*b71 + b5*b72 + b5*b75 + b5*b77
      + b5*b78 + b5*b80 + b5*b81 + b5*b84 + b5*b131 + b5*b135 + b5*b137 + b5*
     b138 + b5*b141 + b6*b39 + b6*b40 + b6*b41 + b6*b42 + b6*b43 + b6*b54 + b6*
     b73 + b6*b74 + b6*b76 + b6*b82 + b6*b83 + b6*b85 + b6*b86 + b6*b118 + b6*
     b175 + b7*b115 + b7*b119 + b7*b120 + b7*b121 + b7*b127 + b7*b128 + b7*b129
      + b7*b130 + b7*b136 + b7*b140 + b7*b146 + b7*b163 + b7*b166 + b7*b177 + 
     b7*b180 + b7*b185 + b7*b192 + b7*b195 + b7*b206 + b7*b207 + b7*b210 + b7*
     b222 + b7*b227 + b7*b231 + b7*b235 + b7*b236 + b7*b238 + b7*b241 + b7*b242
      + b7*b243 + b7*b257 + b7*b261 + b7*b262 + b7*b271 + b7*b274 + b7*b276 + 
     b7*b277 + b7*b279 + b7*b288 + b7*b295 + b7*b296 + b7*b297 + b7*b307 + b7*
     b310 + b7*b331 + b7*b334 + b7*b335 + b7*b336 + b7*b337 + b7*b339 + b8*b350
      + b8*b352 + b8*b357 + b8*b359 + b8*b368 + b8*b373 + b8*b381 + b8*b395 + 
     b8*b402 + b8*b411 + b9*b349 + b9*b350 + b9*b351 + b9*b352 + b9*b356 + b9*
     b357 + b9*b365 + b9*b366 + b9*b369 + b9*b374 + b9*b387 + b9*b388 + b9*b389
      + b9*b395 + b9*b396 + b9*b397 + b9*b399 + b9*b400 + b9*b401 + b9*b402 + 
     b9*b404 + b9*b406 + b9*b410 + b9*b413 + b9*b415 + b9*b417 + b10*b353 + b10
     *b360 + b10*b361 + b10*b363 + b10*b365 + b10*b369 + b10*b372 + b10*b374 + 
     b10*b378 + b10*b379 + b10*b385 + b10*b394 + b10*b403 + b10*b410 + b10*b415
      + b11*b355 + b11*b356 + b11*b362 + b11*b367 + b11*b382 + b11*b387 + b11*
     b388 + b11*b390 + b11*b393 + b11*b398 + b11*b406 + b11*b408 + b11*b409 + 
     b11*b416 + b11*b417 + b12*b345 + b12*b348 + b12*b349 + b12*b354 + b12*b358
      + b12*b364 + b12*b380 + b12*b383 + b12*b392 + b12*b397 + b12*b399 + b12*
     b401 + b12*b404 + b12*b412 + b12*b414 + b13*b117 + b13*b122 + b13*b124 + 
     b13*b133 + b13*b134 + b13*b149 + b13*b153 + b13*b159 + b13*b160 + b13*b164
      + b13*b168 + b13*b169 + b13*b171 + b13*b176 + b13*b203 + b13*b204 + b13*
     b211 + b13*b224 + b13*b230 + b13*b233 + b13*b270 + b13*b285 + b13*b303 + 
     b13*b306 + b13*b312 + b13*b317 + b13*b327 + b13*b329 + b14*b145 + b14*b156
      + b14*b189 + b14*b198 + b14*b200 + b14*b201 + b14*b209 + b14*b220 + b14*
     b256 + b14*b259 + b14*b273 + b14*b281 + b14*b282 + b14*b283 + b14*b291 + 
     b14*b322 + b16*b147 + b16*b151 + b16*b152 + b16*b154 + b16*b157 + b16*b167
      + b16*b181 + b16*b182 + b16*b184 + b16*b186 + b16*b191 + b16*b193 + b16*
     b194 + b16*b216 + b16*b218 + b16*b223 + b16*b225 + b16*b226 + b16*b229 + 
     b16*b245 + b16*b250 + b16*b252 + b16*b254 + b16*b255 + b16*b265 + b16*b289
      + b16*b298 + b16*b299 + b16*b302 + b16*b305 + b16*b311 + b16*b316 + b16*
     b323 + b16*b333 + b16*b338 + b17*b120 + b17*b127 + b17*b128 + b17*b130 + 
     b17*b140 + b17*b161 + b17*b172 + b17*b188 + b17*b213 + b17*b246 + b17*b275
      + b17*b278 + b17*b284 + b17*b300 + b17*b301 + b17*b309 + b17*b319 + b17*
     b324 + b17*b326 + b17*b332 + b39*b40 + b39*b41 + 0.5*b39*b42 + 0.5*b39*b43
      + 0.5*b39*b54 + 0.5*b39*b73 + 0.5*b39*b74 + b39*b76 + 0.5*b39*b82 + 0.5*
     b39*b83 + 0.5*b39*b85 + b39*b86 + 0.5*b39*b118 + 0.5*b39*b175 + b39*x428
      + b40*b41 + 0.5*b40*b42 + 0.5*b40*b43 + 0.5*b40*b54 + 0.5*b40*b73 + 0.5*
     b40*b74 + b40*b76 + 0.5*b40*b82 + 0.5*b40*b83 + 0.5*b40*b85 + b40*b86 + 
     0.5*b40*b118 + 0.5*b40*b175 + b40*x428 + 0.5*b41*b42 + 0.5*b41*b43 + 0.5*
     b41*b54 + 0.5*b41*b73 + 0.5*b41*b74 + b41*b76 + 0.5*b41*b82 + 0.5*b41*b83
      + 0.5*b41*b85 + b41*b86 + 0.5*b41*b118 + 0.5*b41*b175 + b41*x428 + b42*
     b43 + 0.5*b42*b44 + 0.5*b42*b45 + 0.5*b42*b54 + b42*b73 + 0.5*b42*b74 + 
     0.5*b42*b76 + 0.5*b42*b77 + 0.5*b42*b78 + 0.5*b42*b80 + 0.5*b42*b82 + b42*
     b83 + b42*b85 + 0.5*b42*b86 + 0.5*b42*b118 + 0.5*b42*b175 + b42*x429 + 0.5
     *b43*b44 + 0.5*b43*b45 + 0.5*b43*b54 + b43*b73 + 0.5*b43*b74 + 0.5*b43*b76
      + 0.5*b43*b77 + 0.5*b43*b78 + 0.5*b43*b80 + 0.5*b43*b82 + b43*b83 + b43*
     b85 + 0.5*b43*b86 + 0.5*b43*b118 + 0.5*b43*b175 + b43*x429 + b44*b45 + 0.5
     *b44*b46 + 0.5*b44*b51 + 0.5*b44*b52 + 0.5*b44*b53 + 0.5*b44*b61 + 0.5*b44
     *b62 + 0.5*b44*b63 + 0.5*b44*b64 + 0.5*b44*b65 + 0.5*b44*b66 + 0.5*b44*b67
      + 0.5*b44*b68 + 0.5*b44*b69 + 0.5*b44*b70 + 0.5*b44*b71 + 0.5*b44*b72 + 
     0.5*b44*b73 + 0.5*b44*b75 + b44*b77 + b44*b78 + b44*b80 + 0.5*b44*b81 + 
     0.5*b44*b83 + 0.5*b44*b84 + 0.5*b44*b85 + 0.5*b44*b131 + 0.5*b44*b135 + 
     0.5*b44*b137 + 0.5*b44*b138 + 0.5*b44*b141 + b44*x429 + 0.5*b45*b46 + 0.5*
     b45*b51 + 0.5*b45*b52 + 0.5*b45*b53 + 0.5*b45*b61 + 0.5*b45*b62 + 0.5*b45*
     b63 + 0.5*b45*b64 + 0.5*b45*b65 + 0.5*b45*b66 + 0.5*b45*b67 + 0.5*b45*b68
      + 0.5*b45*b69 + 0.5*b45*b70 + 0.5*b45*b71 + 0.5*b45*b72 + 0.5*b45*b73 + 
     0.5*b45*b75 + b45*b77 + b45*b78 + b45*b80 + 0.5*b45*b81 + 0.5*b45*b83 + 
     0.5*b45*b84 + 0.5*b45*b85 + 0.5*b45*b131 + 0.5*b45*b135 + 0.5*b45*b137 + 
     0.5*b45*b138 + 0.5*b45*b141 + b45*x429 + 0.5*b46*b51 + 0.5*b46*b52 + 0.5*
     b46*b53 + 0.5*b46*b61 + 0.5*b46*b62 + 0.5*b46*b63 + 0.5*b46*b64 + 0.5*b46*
     b65 + 0.5*b46*b66 + 0.5*b46*b67 + 0.5*b46*b68 + 0.5*b46*b69 + 0.5*b46*b70
      + 0.5*b46*b71 + b46*b72 + b46*b75 + 0.5*b46*b77 + 0.5*b46*b78 + 0.5*b46*
     b80 + b46*b81 + b46*b84 + 0.5*b46*b131 + 0.5*b46*b135 + 0.5*b46*b137 + 0.5
     *b46*b138 + 0.5*b46*b141 + b46*x430 + 0.5*b47*b48 + 0.5*b47*b59 + 0.5*b47*
     b87 + b47*b90 + 0.5*b47*b91 + 0.5*b47*b92 + 0.5*b47*b93 + b47*b96 + 0.5*
     b47*b110 + 0.5*b47*b111 + 0.5*b47*b113 + 0.5*b47*b114 + b47*x431 + b47*
     x432 + 0.5*b48*b59 + b48*b87 + 0.5*b48*b90 + b48*b91 + b48*b92 + b48*b93
      + 0.5*b48*b95 + 0.5*b48*b96 + 0.5*b48*b98 + 0.5*b48*b110 + 0.5*b48*b111
      + 0.5*b48*b113 + 0.5*b48*b114 + b48*x431 + b48*x433 + b49*b50 + b49*b88
      + b49*b89 + 0.5*b49*b94 + 0.5*b49*b97 + b49*b125 + b49*x434 + b49*x435 + 
     b50*b88 + b50*b89 + 0.5*b50*b94 + 0.5*b50*b97 + b50*b125 + b50*x434 + b50*
     x435 + 0.5*b51*b52 + 0.5*b51*b53 + 0.5*b51*b61 + 0.5*b51*b62 + 0.5*b51*b63
      + b51*b64 + b51*b65 + 0.5*b51*b66 + 0.5*b51*b67 + 0.5*b51*b68 + 0.5*b51*
     b69 + 0.5*b51*b70 + 0.5*b51*b71 + 0.5*b51*b72 + 0.5*b51*b75 + 0.5*b51*b77
      + 0.5*b51*b78 + 0.5*b51*b80 + 0.5*b51*b81 + 0.5*b51*b84 + 0.5*b51*b131 + 
     0.5*b51*b135 + 0.5*b51*b137 + 0.5*b51*b138 + 0.5*b51*b141 + b51*x436 + 0.5
     *b52*b53 + 0.5*b52*b61 + 0.5*b52*b62 + b52*b63 + 0.5*b52*b64 + 0.5*b52*b65
      + b52*b66 + b52*b67 + 0.5*b52*b68 + b52*b69 + 0.5*b52*b70 + 0.5*b52*b71
      + 0.5*b52*b72 + 0.5*b52*b75 + 0.5*b52*b77 + 0.5*b52*b78 + 0.5*b52*b80 + 
     0.5*b52*b81 + 0.5*b52*b84 + 0.5*b52*b131 + 0.5*b52*b135 + 0.5*b52*b137 + 
     0.5*b52*b138 + 0.5*b52*b141 + b52*x437 + 0.5*b53*b54 + b53*b61 + b53*b62
      + 0.5*b53*b63 + 0.5*b53*b64 + 0.5*b53*b65 + 0.5*b53*b66 + 0.5*b53*b67 + 
     b53*b68 + 0.5*b53*b69 + 0.5*b53*b70 + b53*b71 + 0.5*b53*b72 + 0.5*b53*b74
      + 0.5*b53*b75 + 0.5*b53*b77 + 0.5*b53*b78 + 0.5*b53*b80 + 0.5*b53*b81 + 
     0.5*b53*b82 + 0.5*b53*b84 + 0.5*b53*b118 + 0.5*b53*b131 + 0.5*b53*b135 + 
     0.5*b53*b137 + 0.5*b53*b138 + 0.5*b53*b141 + 0.5*b53*b175 + b53*x438 + 0.5
     *b54*b61 + 0.5*b54*b62 + 0.5*b54*b68 + 0.5*b54*b71 + 0.5*b54*b73 + b54*b74
      + 0.5*b54*b76 + b54*b82 + 0.5*b54*b83 + 0.5*b54*b85 + 0.5*b54*b86 + b54*
     b118 + b54*b175 + b54*x438 + 0.5*b55*b56 + 0.5*b55*b57 + 0.5*b55*b99 + b55
     *b100 + b55*b102 + b55*b103 + 0.5*b55*b105 + 0.5*b55*b106 + b55*b107 + 0.5
     *b55*b112 + 0.5*b55*b139 + 0.5*b55*b143 + 0.5*b55*b153 + 0.5*b55*b155 + 
     0.5*b55*b168 + 0.5*b55*b179 + 0.5*b55*b185 + 0.5*b55*b197 + 0.5*b55*b199
      + 0.5*b55*b203 + 0.5*b55*b204 + 0.5*b55*b246 + 0.5*b55*b248 + 0.5*b55*
     b249 + 0.5*b55*b261 + 0.5*b55*b264 + 0.5*b55*b266 + 0.5*b55*b267 + 0.5*b55
     *b269 + 0.5*b55*b271 + 0.5*b55*b275 + 0.5*b55*b279 + 0.5*b55*b280 + 0.5*
     b55*b286 + 0.5*b55*b287 + 0.5*b55*b290 + 0.5*b55*b294 + 0.5*b55*b296 + 0.5
     *b55*b314 + 0.5*b55*b317 + 0.5*b55*b319 + 0.5*b55*b321 + 0.5*b55*b326 + 
     0.5*b55*b328 + 0.5*b55*b330 + 0.5*b55*b332 + 0.5*b55*b340 + 0.5*b55*b341
      + 0.5*b55*b342 + 0.5*b55*b343 + b55*x439 + 0.5*b56*b57 + b56*b99 + 0.5*
     b56*b100 + 0.5*b56*b102 + 0.5*b56*b103 + b56*b105 + b56*b106 + 0.5*b56*
     b107 + b56*b112 + 0.5*b56*b139 + 0.5*b56*b143 + 0.5*b56*b153 + 0.5*b56*
     b155 + 0.5*b56*b168 + 0.5*b56*b179 + 0.5*b56*b185 + 0.5*b56*b197 + 0.5*b56
     *b199 + 0.5*b56*b203 + 0.5*b56*b204 + 0.5*b56*b246 + 0.5*b56*b248 + 0.5*
     b56*b249 + 0.5*b56*b261 + 0.5*b56*b264 + 0.5*b56*b266 + 0.5*b56*b267 + 0.5
     *b56*b269 + 0.5*b56*b271 + 0.5*b56*b275 + 0.5*b56*b279 + 0.5*b56*b280 + 
     0.5*b56*b286 + 0.5*b56*b287 + 0.5*b56*b290 + 0.5*b56*b294 + 0.5*b56*b296
      + 0.5*b56*b314 + 0.5*b56*b317 + 0.5*b56*b319 + 0.5*b56*b321 + 0.5*b56*
     b326 + 0.5*b56*b328 + 0.5*b56*b330 + 0.5*b56*b332 + 0.5*b56*b340 + 0.5*b56
     *b341 + 0.5*b56*b342 + 0.5*b56*b343 + b56*x440 + 0.5*b57*b99 + 0.5*b57*
     b100 + 0.5*b57*b102 + 0.5*b57*b103 + 0.5*b57*b105 + 0.5*b57*b106 + 0.5*b57
     *b107 + 0.5*b57*b112 + 0.5*b57*b139 + 0.5*b57*b143 + 0.5*b57*b153 + 0.5*
     b57*b155 + 0.5*b57*b168 + 0.5*b57*b179 + 0.5*b57*b185 + 0.5*b57*b197 + 0.5
     *b57*b199 + 0.5*b57*b203 + 0.5*b57*b204 + 0.5*b57*b246 + 0.5*b57*b248 + 
     0.5*b57*b249 + 0.5*b57*b261 + 0.5*b57*b264 + 0.5*b57*b266 + 0.5*b57*b267
      + 0.5*b57*b269 + 0.5*b57*b271 + 0.5*b57*b275 + 0.5*b57*b279 + 0.5*b57*
     b280 + 0.5*b57*b286 + 0.5*b57*b287 + 0.5*b57*b290 + 0.5*b57*b294 + 0.5*b57
     *b296 + 0.5*b57*b314 + 0.5*b57*b317 + 0.5*b57*b319 + 0.5*b57*b321 + 0.5*
     b57*b326 + 0.5*b57*b328 + 0.5*b57*b330 + 0.5*b57*b332 + 0.5*b57*b340 + 0.5
     *b57*b341 + 0.5*b57*b342 + 0.5*b57*b343 + b57*x441 + 0.5*b58*b59 + 0.5*b58
     *b60 + b58*b101 + b58*b104 + b58*b108 + b58*b109 + 0.5*b58*b110 + 0.5*b58*
     b111 + 0.5*b58*b113 + 0.5*b58*b114 + 0.5*b58*b116 + 0.5*b58*b123 + 0.5*b58
     *b126 + 0.5*b58*b132 + b58*x442 + 0.5*b59*b60 + 0.5*b59*b87 + 0.5*b59*b90
      + 0.5*b59*b91 + 0.5*b59*b92 + 0.5*b59*b93 + 0.5*b59*b96 + 0.5*b59*b101 + 
     0.5*b59*b104 + 0.5*b59*b108 + 0.5*b59*b109 + b59*b110 + b59*b111 + b59*
     b113 + b59*b114 + 0.5*b59*b116 + 0.5*b59*b123 + 0.5*b59*b126 + 0.5*b59*
     b132 + b59*x431 + 0.5*b60*b101 + 0.5*b60*b104 + 0.5*b60*b108 + 0.5*b60*
     b109 + 0.5*b60*b110 + 0.5*b60*b111 + 0.5*b60*b113 + 0.5*b60*b114 + b60*
     b116 + b60*b123 + b60*b126 + b60*b132 + b60*x443 + b61*b62 + 0.5*b61*b63
      + 0.5*b61*b64 + 0.5*b61*b65 + 0.5*b61*b66 + 0.5*b61*b67 + b61*b68 + 0.5*
     b61*b69 + 0.5*b61*b70 + b61*b71 + 0.5*b61*b72 + 0.5*b61*b74 + 0.5*b61*b75
      + 0.5*b61*b77 + 0.5*b61*b78 + 0.5*b61*b80 + 0.5*b61*b81 + 0.5*b61*b82 + 
     0.5*b61*b84 + 0.5*b61*b118 + 0.5*b61*b131 + 0.5*b61*b135 + 0.5*b61*b137 + 
     0.5*b61*b138 + 0.5*b61*b141 + 0.5*b61*b175 + b61*x438 + 0.5*b62*b63 + 0.5*
     b62*b64 + 0.5*b62*b65 + 0.5*b62*b66 + 0.5*b62*b67 + b62*b68 + 0.5*b62*b69
      + 0.5*b62*b70 + b62*b71 + 0.5*b62*b72 + 0.5*b62*b74 + 0.5*b62*b75 + 0.5*
     b62*b77 + 0.5*b62*b78 + 0.5*b62*b80 + 0.5*b62*b81 + 0.5*b62*b82 + 0.5*b62*
     b84 + 0.5*b62*b118 + 0.5*b62*b131 + 0.5*b62*b135 + 0.5*b62*b137 + 0.5*b62*
     b138 + 0.5*b62*b141 + 0.5*b62*b175 + b62*x438 + 0.5*b63*b64 + 0.5*b63*b65
      + b63*b66 + b63*b67 + 0.5*b63*b68 + b63*b69 + 0.5*b63*b70 + 0.5*b63*b71
      + 0.5*b63*b72 + 0.5*b63*b75 + 0.5*b63*b77 + 0.5*b63*b78 + 0.5*b63*b80 + 
     0.5*b63*b81 + 0.5*b63*b84 + 0.5*b63*b131 + 0.5*b63*b135 + 0.5*b63*b137 + 
     0.5*b63*b138 + 0.5*b63*b141 + b63*x437 + b64*b65 + 0.5*b64*b66 + 0.5*b64*
     b67 + 0.5*b64*b68 + 0.5*b64*b69 + 0.5*b64*b70 + 0.5*b64*b71 + 0.5*b64*b72
      + 0.5*b64*b75 + 0.5*b64*b77 + 0.5*b64*b78 + 0.5*b64*b80 + 0.5*b64*b81 + 
     0.5*b64*b84 + 0.5*b64*b131 + 0.5*b64*b135 + 0.5*b64*b137 + 0.5*b64*b138 + 
     0.5*b64*b141 + b64*x436 + 0.5*b65*b66 + 0.5*b65*b67 + 0.5*b65*b68 + 0.5*
     b65*b69 + 0.5*b65*b70 + 0.5*b65*b71 + 0.5*b65*b72 + 0.5*b65*b75 + 0.5*b65*
     b77 + 0.5*b65*b78 + 0.5*b65*b80 + 0.5*b65*b81 + 0.5*b65*b84 + 0.5*b65*b131
      + 0.5*b65*b135 + 0.5*b65*b137 + 0.5*b65*b138 + 0.5*b65*b141 + b65*x436 + 
     b66*b67 + 0.5*b66*b68 + b66*b69 + 0.5*b66*b70 + 0.5*b66*b71 + 0.5*b66*b72
      + 0.5*b66*b75 + 0.5*b66*b77 + 0.5*b66*b78 + 0.5*b66*b80 + 0.5*b66*b81 + 
     0.5*b66*b84 + 0.5*b66*b131 + 0.5*b66*b135 + 0.5*b66*b137 + 0.5*b66*b138 + 
     0.5*b66*b141 + b66*x437 + 0.5*b67*b68 + b67*b69 + 0.5*b67*b70 + 0.5*b67*
     b71 + 0.5*b67*b72 + 0.5*b67*b75 + 0.5*b67*b77 + 0.5*b67*b78 + 0.5*b67*b80
      + 0.5*b67*b81 + 0.5*b67*b84 + 0.5*b67*b131 + 0.5*b67*b135 + 0.5*b67*b137
      + 0.5*b67*b138 + 0.5*b67*b141 + b67*x437 + 0.5*b68*b69 + 0.5*b68*b70 + 
     b68*b71 + 0.5*b68*b72 + 0.5*b68*b74 + 0.5*b68*b75 + 0.5*b68*b77 + 0.5*b68*
     b78 + 0.5*b68*b80 + 0.5*b68*b81 + 0.5*b68*b82 + 0.5*b68*b84 + 0.5*b68*b118
      + 0.5*b68*b131 + 0.5*b68*b135 + 0.5*b68*b137 + 0.5*b68*b138 + 0.5*b68*
     b141 + 0.5*b68*b175 + b68*x438 + 0.5*b69*b70 + 0.5*b69*b71 + 0.5*b69*b72
      + 0.5*b69*b75 + 0.5*b69*b77 + 0.5*b69*b78 + 0.5*b69*b80 + 0.5*b69*b81 + 
     0.5*b69*b84 + 0.5*b69*b131 + 0.5*b69*b135 + 0.5*b69*b137 + 0.5*b69*b138 + 
     0.5*b69*b141 + b69*x437 + 0.5*b70*b71 + 0.5*b70*b72 + 0.5*b70*b75 + 0.5*
     b70*b77 + 0.5*b70*b78 + 0.5*b70*b80 + 0.5*b70*b81 + 0.5*b70*b84 + 0.5*b70*
     b131 + 0.5*b70*b135 + 0.5*b70*b137 + 0.5*b70*b138 + 0.5*b70*b141 + b70*
     x444 + 0.5*b71*b72 + 0.5*b71*b74 + 0.5*b71*b75 + 0.5*b71*b77 + 0.5*b71*b78
      + 0.5*b71*b80 + 0.5*b71*b81 + 0.5*b71*b82 + 0.5*b71*b84 + 0.5*b71*b118 + 
     0.5*b71*b131 + 0.5*b71*b135 + 0.5*b71*b137 + 0.5*b71*b138 + 0.5*b71*b141
      + 0.5*b71*b175 + b71*x438 + b72*b75 + 0.5*b72*b77 + 0.5*b72*b78 + 0.5*b72
     *b80 + b72*b81 + b72*b84 + 0.5*b72*b131 + 0.5*b72*b135 + 0.5*b72*b137 + 
     0.5*b72*b138 + 0.5*b72*b141 + b72*x430 + 0.5*b73*b74 + 0.5*b73*b76 + 0.5*
     b73*b77 + 0.5*b73*b78 + 0.5*b73*b80 + 0.5*b73*b82 + b73*b83 + b73*b85 + 
     0.5*b73*b86 + 0.5*b73*b118 + 0.5*b73*b175 + b73*x429 + 0.5*b74*b76 + b74*
     b82 + 0.5*b74*b83 + 0.5*b74*b85 + 0.5*b74*b86 + b74*b118 + b74*b175 + b74*
     x438 + 0.5*b75*b77 + 0.5*b75*b78 + 0.5*b75*b80 + b75*b81 + b75*b84 + 0.5*
     b75*b131 + 0.5*b75*b135 + 0.5*b75*b137 + 0.5*b75*b138 + 0.5*b75*b141 + b75
     *x430 + 0.5*b76*b82 + 0.5*b76*b83 + 0.5*b76*b85 + b76*b86 + 0.5*b76*b118
      + 0.5*b76*b175 + b76*x428 + b77*b78 + b77*b80 + 0.5*b77*b81 + 0.5*b77*b83
      + 0.5*b77*b84 + 0.5*b77*b85 + 0.5*b77*b131 + 0.5*b77*b135 + 0.5*b77*b137
      + 0.5*b77*b138 + 0.5*b77*b141 + b77*x429 + b78*b80 + 0.5*b78*b81 + 0.5*
     b78*b83 + 0.5*b78*b84 + 0.5*b78*b85 + 0.5*b78*b131 + 0.5*b78*b135 + 0.5*
     b78*b137 + 0.5*b78*b138 + 0.5*b78*b141 + b78*x429 + 0.5*b79*b143 + 0.5*b79
     *b183 + 0.5*b79*b197 + 0.5*b79*b267 + 0.5*b79*b290 + 0.5*b79*b294 + b79*
     x445 + b79*x446 + 0.5*b80*b81 + 0.5*b80*b83 + 0.5*b80*b84 + 0.5*b80*b85 + 
     0.5*b80*b131 + 0.5*b80*b135 + 0.5*b80*b137 + 0.5*b80*b138 + 0.5*b80*b141
      + b80*x429 + b81*b84 + 0.5*b81*b131 + 0.5*b81*b135 + 0.5*b81*b137 + 0.5*
     b81*b138 + 0.5*b81*b141 + b81*x430 + 0.5*b82*b83 + 0.5*b82*b85 + 0.5*b82*
     b86 + b82*b118 + b82*b175 + b82*x438 + b83*b85 + 0.5*b83*b86 + 0.5*b83*
     b118 + 0.5*b83*b175 + b83*x429 + 0.5*b84*b131 + 0.5*b84*b135 + 0.5*b84*
     b137 + 0.5*b84*b138 + 0.5*b84*b141 + b84*x430 + 0.5*b85*b86 + 0.5*b85*b118
      + 0.5*b85*b175 + b85*x429 + 0.5*b86*b118 + 0.5*b86*b175 + b86*x428 + 0.5*
     b87*b90 + b87*b91 + b87*b92 + b87*b93 + 0.5*b87*b95 + 0.5*b87*b96 + 0.5*
     b87*b98 + 0.5*b87*b110 + 0.5*b87*b111 + 0.5*b87*b113 + 0.5*b87*b114 + b87*
     x431 + b87*x433 + b88*b89 + 0.5*b88*b94 + 0.5*b88*b97 + b88*b125 + b88*
     x434 + b88*x435 + 0.5*b89*b94 + 0.5*b89*b97 + b89*b125 + b89*x434 + b89*
     x435 + 0.5*b90*b91 + 0.5*b90*b92 + 0.5*b90*b93 + b90*b96 + 0.5*b90*b110 + 
     0.5*b90*b111 + 0.5*b90*b113 + 0.5*b90*b114 + b90*x431 + b90*x432 + b91*b92
      + b91*b93 + 0.5*b91*b95 + 0.5*b91*b96 + 0.5*b91*b98 + 0.5*b91*b110 + 0.5*
     b91*b111 + 0.5*b91*b113 + 0.5*b91*b114 + b91*x431 + b91*x433 + b92*b93 + 
     0.5*b92*b95 + 0.5*b92*b96 + 0.5*b92*b98 + 0.5*b92*b110 + 0.5*b92*b111 + 
     0.5*b92*b113 + 0.5*b92*b114 + b92*x431 + b92*x433 + 0.5*b93*b95 + 0.5*b93*
     b96 + 0.5*b93*b98 + 0.5*b93*b110 + 0.5*b93*b111 + 0.5*b93*b113 + 0.5*b93*
     b114 + b93*x431 + b93*x433 + 0.5*b94*b97 + 0.5*b94*b125 + b94*x434 + b94*
     x447 + b95*b98 + b95*x448 + b95*x433 + 0.5*b96*b110 + 0.5*b96*b111 + 0.5*
     b96*b113 + 0.5*b96*b114 + b96*x431 + b96*x432 + 0.5*b97*b125 + b97*x434 + 
     b97*x449 + b98*x448 + b98*x433 + 0.5*b99*b100 + 0.5*b99*b102 + 0.5*b99*
     b103 + b99*b105 + b99*b106 + 0.5*b99*b107 + b99*b112 + 0.5*b99*b139 + 0.5*
     b99*b143 + 0.5*b99*b153 + 0.5*b99*b155 + 0.5*b99*b168 + 0.5*b99*b179 + 0.5
     *b99*b185 + 0.5*b99*b197 + 0.5*b99*b199 + 0.5*b99*b203 + 0.5*b99*b204 + 
     0.5*b99*b246 + 0.5*b99*b248 + 0.5*b99*b249 + 0.5*b99*b261 + 0.5*b99*b264
      + 0.5*b99*b266 + 0.5*b99*b267 + 0.5*b99*b269 + 0.5*b99*b271 + 0.5*b99*
     b275 + 0.5*b99*b279 + 0.5*b99*b280 + 0.5*b99*b286 + 0.5*b99*b287 + 0.5*b99
     *b290 + 0.5*b99*b294 + 0.5*b99*b296 + 0.5*b99*b314 + 0.5*b99*b317 + 0.5*
     b99*b319 + 0.5*b99*b321 + 0.5*b99*b326 + 0.5*b99*b328 + 0.5*b99*b330 + 0.5
     *b99*b332 + 0.5*b99*b340 + 0.5*b99*b341 + 0.5*b99*b342 + 0.5*b99*b343 + 
     b99*x440 + b100*b102 + b100*b103 + 0.5*b100*b105 + 0.5*b100*b106 + b100*
     b107 + 0.5*b100*b112 + 0.5*b100*b139 + 0.5*b100*b143 + 0.5*b100*b153 + 0.5
     *b100*b155 + 0.5*b100*b168 + 0.5*b100*b179 + 0.5*b100*b185 + 0.5*b100*b197
      + 0.5*b100*b199 + 0.5*b100*b203 + 0.5*b100*b204 + 0.5*b100*b246 + 0.5*
     b100*b248 + 0.5*b100*b249 + 0.5*b100*b261 + 0.5*b100*b264 + 0.5*b100*b266
      + 0.5*b100*b267 + 0.5*b100*b269 + 0.5*b100*b271 + 0.5*b100*b275 + 0.5*
     b100*b279 + 0.5*b100*b280 + 0.5*b100*b286 + 0.5*b100*b287 + 0.5*b100*b290
      + 0.5*b100*b294 + 0.5*b100*b296 + 0.5*b100*b314 + 0.5*b100*b317 + 0.5*
     b100*b319 + 0.5*b100*b321 + 0.5*b100*b326 + 0.5*b100*b328 + 0.5*b100*b330
      + 0.5*b100*b332 + 0.5*b100*b340 + 0.5*b100*b341 + 0.5*b100*b342 + 0.5*
     b100*b343 + b100*x439 + b101*b104 + b101*b108 + b101*b109 + 0.5*b101*b110
      + 0.5*b101*b111 + 0.5*b101*b113 + 0.5*b101*b114 + 0.5*b101*b116 + 0.5*
     b101*b123 + 0.5*b101*b126 + 0.5*b101*b132 + b101*x442 + b102*b103 + 0.5*
     b102*b105 + 0.5*b102*b106 + b102*b107 + 0.5*b102*b112 + 0.5*b102*b139 + 
     0.5*b102*b143 + 0.5*b102*b153 + 0.5*b102*b155 + 0.5*b102*b168 + 0.5*b102*
     b179 + 0.5*b102*b185 + 0.5*b102*b197 + 0.5*b102*b199 + 0.5*b102*b203 + 0.5
     *b102*b204 + 0.5*b102*b246 + 0.5*b102*b248 + 0.5*b102*b249 + 0.5*b102*b261
      + 0.5*b102*b264 + 0.5*b102*b266 + 0.5*b102*b267 + 0.5*b102*b269 + 0.5*
     b102*b271 + 0.5*b102*b275 + 0.5*b102*b279 + 0.5*b102*b280 + 0.5*b102*b286
      + 0.5*b102*b287 + 0.5*b102*b290 + 0.5*b102*b294 + 0.5*b102*b296 + 0.5*
     b102*b314 + 0.5*b102*b317 + 0.5*b102*b319 + 0.5*b102*b321 + 0.5*b102*b326
      + 0.5*b102*b328 + 0.5*b102*b330 + 0.5*b102*b332 + 0.5*b102*b340 + 0.5*
     b102*b341 + 0.5*b102*b342 + 0.5*b102*b343 + b102*x439 + 0.5*b103*b105 + 
     0.5*b103*b106 + b103*b107 + 0.5*b103*b112 + 0.5*b103*b139 + 0.5*b103*b143
      + 0.5*b103*b153 + 0.5*b103*b155 + 0.5*b103*b168 + 0.5*b103*b179 + 0.5*
     b103*b185 + 0.5*b103*b197 + 0.5*b103*b199 + 0.5*b103*b203 + 0.5*b103*b204
      + 0.5*b103*b246 + 0.5*b103*b248 + 0.5*b103*b249 + 0.5*b103*b261 + 0.5*
     b103*b264 + 0.5*b103*b266 + 0.5*b103*b267 + 0.5*b103*b269 + 0.5*b103*b271
      + 0.5*b103*b275 + 0.5*b103*b279 + 0.5*b103*b280 + 0.5*b103*b286 + 0.5*
     b103*b287 + 0.5*b103*b290 + 0.5*b103*b294 + 0.5*b103*b296 + 0.5*b103*b314
      + 0.5*b103*b317 + 0.5*b103*b319 + 0.5*b103*b321 + 0.5*b103*b326 + 0.5*
     b103*b328 + 0.5*b103*b330 + 0.5*b103*b332 + 0.5*b103*b340 + 0.5*b103*b341
      + 0.5*b103*b342 + 0.5*b103*b343 + b103*x439 + b104*b108 + b104*b109 + 0.5
     *b104*b110 + 0.5*b104*b111 + 0.5*b104*b113 + 0.5*b104*b114 + 0.5*b104*b116
      + 0.5*b104*b123 + 0.5*b104*b126 + 0.5*b104*b132 + b104*x442 + b105*b106
      + 0.5*b105*b107 + b105*b112 + 0.5*b105*b139 + 0.5*b105*b143 + 0.5*b105*
     b153 + 0.5*b105*b155 + 0.5*b105*b168 + 0.5*b105*b179 + 0.5*b105*b185 + 0.5
     *b105*b197 + 0.5*b105*b199 + 0.5*b105*b203 + 0.5*b105*b204 + 0.5*b105*b246
      + 0.5*b105*b248 + 0.5*b105*b249 + 0.5*b105*b261 + 0.5*b105*b264 + 0.5*
     b105*b266 + 0.5*b105*b267 + 0.5*b105*b269 + 0.5*b105*b271 + 0.5*b105*b275
      + 0.5*b105*b279 + 0.5*b105*b280 + 0.5*b105*b286 + 0.5*b105*b287 + 0.5*
     b105*b290 + 0.5*b105*b294 + 0.5*b105*b296 + 0.5*b105*b314 + 0.5*b105*b317
      + 0.5*b105*b319 + 0.5*b105*b321 + 0.5*b105*b326 + 0.5*b105*b328 + 0.5*
     b105*b330 + 0.5*b105*b332 + 0.5*b105*b340 + 0.5*b105*b341 + 0.5*b105*b342
      + 0.5*b105*b343 + b105*x440 + 0.5*b106*b107 + b106*b112 + 0.5*b106*b139
      + 0.5*b106*b143 + 0.5*b106*b153 + 0.5*b106*b155 + 0.5*b106*b168 + 0.5*
     b106*b179 + 0.5*b106*b185 + 0.5*b106*b197 + 0.5*b106*b199 + 0.5*b106*b203
      + 0.5*b106*b204 + 0.5*b106*b246 + 0.5*b106*b248 + 0.5*b106*b249 + 0.5*
     b106*b261 + 0.5*b106*b264 + 0.5*b106*b266 + 0.5*b106*b267 + 0.5*b106*b269
      + 0.5*b106*b271 + 0.5*b106*b275 + 0.5*b106*b279 + 0.5*b106*b280 + 0.5*
     b106*b286 + 0.5*b106*b287 + 0.5*b106*b290 + 0.5*b106*b294 + 0.5*b106*b296
      + 0.5*b106*b314 + 0.5*b106*b317 + 0.5*b106*b319 + 0.5*b106*b321 + 0.5*
     b106*b326 + 0.5*b106*b328 + 0.5*b106*b330 + 0.5*b106*b332 + 0.5*b106*b340
      + 0.5*b106*b341 + 0.5*b106*b342 + 0.5*b106*b343 + b106*x440 + 0.5*b107*
     b112 + 0.5*b107*b139 + 0.5*b107*b143 + 0.5*b107*b153 + 0.5*b107*b155 + 0.5
     *b107*b168 + 0.5*b107*b179 + 0.5*b107*b185 + 0.5*b107*b197 + 0.5*b107*b199
      + 0.5*b107*b203 + 0.5*b107*b204 + 0.5*b107*b246 + 0.5*b107*b248 + 0.5*
     b107*b249 + 0.5*b107*b261 + 0.5*b107*b264 + 0.5*b107*b266 + 0.5*b107*b267
      + 0.5*b107*b269 + 0.5*b107*b271 + 0.5*b107*b275 + 0.5*b107*b279 + 0.5*
     b107*b280 + 0.5*b107*b286 + 0.5*b107*b287 + 0.5*b107*b290 + 0.5*b107*b294
      + 0.5*b107*b296 + 0.5*b107*b314 + 0.5*b107*b317 + 0.5*b107*b319 + 0.5*
     b107*b321 + 0.5*b107*b326 + 0.5*b107*b328 + 0.5*b107*b330 + 0.5*b107*b332
      + 0.5*b107*b340 + 0.5*b107*b341 + 0.5*b107*b342 + 0.5*b107*b343 + b107*
     x439 + b108*b109 + 0.5*b108*b110 + 0.5*b108*b111 + 0.5*b108*b113 + 0.5*
     b108*b114 + 0.5*b108*b116 + 0.5*b108*b123 + 0.5*b108*b126 + 0.5*b108*b132
      + b108*x442 + 0.5*b109*b110 + 0.5*b109*b111 + 0.5*b109*b113 + 0.5*b109*
     b114 + 0.5*b109*b116 + 0.5*b109*b123 + 0.5*b109*b126 + 0.5*b109*b132 + 
     b109*x442 + b110*b111 + b110*b113 + b110*b114 + 0.5*b110*b116 + 0.5*b110*
     b123 + 0.5*b110*b126 + 0.5*b110*b132 + b110*x431 + b111*b113 + b111*b114
      + 0.5*b111*b116 + 0.5*b111*b123 + 0.5*b111*b126 + 0.5*b111*b132 + b111*
     x431 + 0.5*b112*b139 + 0.5*b112*b143 + 0.5*b112*b153 + 0.5*b112*b155 + 0.5
     *b112*b168 + 0.5*b112*b179 + 0.5*b112*b185 + 0.5*b112*b197 + 0.5*b112*b199
      + 0.5*b112*b203 + 0.5*b112*b204 + 0.5*b112*b246 + 0.5*b112*b248 + 0.5*
     b112*b249 + 0.5*b112*b261 + 0.5*b112*b264 + 0.5*b112*b266 + 0.5*b112*b267
      + 0.5*b112*b269 + 0.5*b112*b271 + 0.5*b112*b275 + 0.5*b112*b279 + 0.5*
     b112*b280 + 0.5*b112*b286 + 0.5*b112*b287 + 0.5*b112*b290 + 0.5*b112*b294
      + 0.5*b112*b296 + 0.5*b112*b314 + 0.5*b112*b317 + 0.5*b112*b319 + 0.5*
     b112*b321 + 0.5*b112*b326 + 0.5*b112*b328 + 0.5*b112*b330 + 0.5*b112*b332
      + 0.5*b112*b340 + 0.5*b112*b341 + 0.5*b112*b342 + 0.5*b112*b343 + b112*
     x440 + b113*b114 + 0.5*b113*b116 + 0.5*b113*b123 + 0.5*b113*b126 + 0.5*
     b113*b132 + b113*x431 + 0.5*b114*b116 + 0.5*b114*b123 + 0.5*b114*b126 + 
     0.5*b114*b132 + b114*x431 + b115*b119 + 0.5*b115*b120 + b115*b121 + 0.5*
     b115*b127 + 0.5*b115*b128 + b115*b129 + 0.5*b115*b130 + b115*b136 + 0.5*
     b115*b140 + 0.5*b115*b144 + 0.5*b115*b146 + 0.5*b115*b163 + 0.5*b115*b166
      + 0.5*b115*b173 + 0.5*b115*b174 + 0.5*b115*b177 + 0.5*b115*b180 + 0.5*
     b115*b185 + 0.5*b115*b190 + 0.5*b115*b192 + 0.5*b115*b195 + 0.5*b115*b196
      + 0.5*b115*b206 + 0.5*b115*b207 + 0.5*b115*b210 + 0.5*b115*b212 + 0.5*
     b115*b215 + 0.5*b115*b217 + 0.5*b115*b222 + 0.5*b115*b227 + 0.5*b115*b231
      + 0.5*b115*b232 + 0.5*b115*b235 + 0.5*b115*b236 + 0.5*b115*b237 + 0.5*
     b115*b238 + 0.5*b115*b239 + 0.5*b115*b241 + 0.5*b115*b242 + 0.5*b115*b243
      + 0.5*b115*b257 + 0.5*b115*b261 + 0.5*b115*b262 + 0.5*b115*b271 + 0.5*
     b115*b274 + 0.5*b115*b276 + 0.5*b115*b277 + 0.5*b115*b279 + 0.5*b115*b288
      + 0.5*b115*b293 + 0.5*b115*b295 + 0.5*b115*b296 + 0.5*b115*b297 + 0.5*
     b115*b307 + 0.5*b115*b308 + 0.5*b115*b310 + 0.5*b115*b315 + 0.5*b115*b318
      + 0.5*b115*b331 + 0.5*b115*b334 + 0.5*b115*b335 + 0.5*b115*b336 + 0.5*
     b115*b337 + 0.5*b115*b339 + b115*x450 + b116*b123 + b116*b126 + b116*b132
      + b116*x443 + b117*b122 + b117*b124 + b117*b133 + b117*b134 + 0.5*b117*
     b149 + 0.5*b117*b153 + 0.5*b117*b155 + 0.5*b117*b159 + 0.5*b117*b160 + 0.5
     *b117*b164 + 0.5*b117*b168 + 0.5*b117*b169 + 0.5*b117*b171 + 0.5*b117*b176
      + 0.5*b117*b178 + 0.5*b117*b179 + 0.5*b117*b202 + 0.5*b117*b203 + 0.5*
     b117*b204 + 0.5*b117*b211 + 0.5*b117*b219 + 0.5*b117*b221 + 0.5*b117*b224
      + 0.5*b117*b230 + 0.5*b117*b233 + 0.5*b117*b234 + 0.5*b117*b249 + 0.5*
     b117*b266 + 0.5*b117*b270 + 0.5*b117*b272 + 0.5*b117*b285 + 0.5*b117*b286
      + 0.5*b117*b303 + 0.5*b117*b306 + 0.5*b117*b312 + 0.5*b117*b317 + 0.5*
     b117*b327 + 0.5*b117*b329 + b117*x451 + b118*b175 + b118*x438 + 0.5*b119*
     b120 + b119*b121 + 0.5*b119*b127 + 0.5*b119*b128 + b119*b129 + 0.5*b119*
     b130 + b119*b136 + 0.5*b119*b140 + 0.5*b119*b144 + 0.5*b119*b146 + 0.5*
     b119*b163 + 0.5*b119*b166 + 0.5*b119*b173 + 0.5*b119*b174 + 0.5*b119*b177
      + 0.5*b119*b180 + 0.5*b119*b185 + 0.5*b119*b190 + 0.5*b119*b192 + 0.5*
     b119*b195 + 0.5*b119*b196 + 0.5*b119*b206 + 0.5*b119*b207 + 0.5*b119*b210
      + 0.5*b119*b212 + 0.5*b119*b215 + 0.5*b119*b217 + 0.5*b119*b222 + 0.5*
     b119*b227 + 0.5*b119*b231 + 0.5*b119*b232 + 0.5*b119*b235 + 0.5*b119*b236
      + 0.5*b119*b237 + 0.5*b119*b238 + 0.5*b119*b239 + 0.5*b119*b241 + 0.5*
     b119*b242 + 0.5*b119*b243 + 0.5*b119*b257 + 0.5*b119*b261 + 0.5*b119*b262
      + 0.5*b119*b271 + 0.5*b119*b274 + 0.5*b119*b276 + 0.5*b119*b277 + 0.5*
     b119*b279 + 0.5*b119*b288 + 0.5*b119*b293 + 0.5*b119*b295 + 0.5*b119*b296
      + 0.5*b119*b297 + 0.5*b119*b307 + 0.5*b119*b308 + 0.5*b119*b310 + 0.5*
     b119*b315 + 0.5*b119*b318 + 0.5*b119*b331 + 0.5*b119*b334 + 0.5*b119*b335
      + 0.5*b119*b336 + 0.5*b119*b337 + 0.5*b119*b339 + b119*x450 + 0.5*b120*
     b121 + b120*b127 + b120*b128 + 0.5*b120*b129 + b120*b130 + 0.5*b120*b136
      + b120*b140 + 0.5*b120*b146 + 0.5*b120*b161 + 0.5*b120*b163 + 0.5*b120*
     b166 + 0.5*b120*b172 + 0.5*b120*b177 + 0.5*b120*b180 + 0.5*b120*b185 + 0.5
     *b120*b188 + 0.5*b120*b192 + 0.5*b120*b195 + 0.5*b120*b206 + 0.5*b120*b207
      + 0.5*b120*b210 + 0.5*b120*b213 + 0.5*b120*b222 + 0.5*b120*b227 + 0.5*
     b120*b231 + 0.5*b120*b235 + 0.5*b120*b236 + 0.5*b120*b238 + 0.5*b120*b241
      + 0.5*b120*b242 + 0.5*b120*b243 + 0.5*b120*b246 + 0.5*b120*b257 + 0.5*
     b120*b261 + 0.5*b120*b262 + 0.5*b120*b271 + 0.5*b120*b274 + 0.5*b120*b275
      + 0.5*b120*b276 + 0.5*b120*b277 + 0.5*b120*b278 + 0.5*b120*b279 + 0.5*
     b120*b284 + 0.5*b120*b288 + 0.5*b120*b295 + 0.5*b120*b296 + 0.5*b120*b297
      + 0.5*b120*b300 + 0.5*b120*b301 + 0.5*b120*b307 + 0.5*b120*b309 + 0.5*
     b120*b310 + 0.5*b120*b319 + 0.5*b120*b324 + 0.5*b120*b326 + 0.5*b120*b331
      + 0.5*b120*b332 + 0.5*b120*b334 + 0.5*b120*b335 + 0.5*b120*b336 + 0.5*
     b120*b337 + 0.5*b120*b339 + 0.5*b121*b127 + 0.5*b121*b128 + b121*b129 + 
     0.5*b121*b130 + b121*b136 + 0.5*b121*b140 + 0.5*b121*b144 + 0.5*b121*b146
      + 0.5*b121*b163 + 0.5*b121*b166 + 0.5*b121*b173 + 0.5*b121*b174 + 0.5*
     b121*b177 + 0.5*b121*b180 + 0.5*b121*b185 + 0.5*b121*b190 + 0.5*b121*b192
      + 0.5*b121*b195 + 0.5*b121*b196 + 0.5*b121*b206 + 0.5*b121*b207 + 0.5*
     b121*b210 + 0.5*b121*b212 + 0.5*b121*b215 + 0.5*b121*b217 + 0.5*b121*b222
      + 0.5*b121*b227 + 0.5*b121*b231 + 0.5*b121*b232 + 0.5*b121*b235 + 0.5*
     b121*b236 + 0.5*b121*b237 + 0.5*b121*b238 + 0.5*b121*b239 + 0.5*b121*b241
      + 0.5*b121*b242 + 0.5*b121*b243 + 0.5*b121*b257 + 0.5*b121*b261 + 0.5*
     b121*b262 + 0.5*b121*b271 + 0.5*b121*b274 + 0.5*b121*b276 + 0.5*b121*b277
      + 0.5*b121*b279 + 0.5*b121*b288 + 0.5*b121*b293 + 0.5*b121*b295 + 0.5*
     b121*b296 + 0.5*b121*b297 + 0.5*b121*b307 + 0.5*b121*b308 + 0.5*b121*b310
      + 0.5*b121*b315 + 0.5*b121*b318 + 0.5*b121*b331 + 0.5*b121*b334 + 0.5*
     b121*b335 + 0.5*b121*b336 + 0.5*b121*b337 + 0.5*b121*b339 + b121*x450 + 
     b122*b124 + b122*b133 + b122*b134 + 0.5*b122*b149 + 0.5*b122*b153 + 0.5*
     b122*b155 + 0.5*b122*b159 + 0.5*b122*b160 + 0.5*b122*b164 + 0.5*b122*b168
      + 0.5*b122*b169 + 0.5*b122*b171 + 0.5*b122*b176 + 0.5*b122*b178 + 0.5*
     b122*b179 + 0.5*b122*b202 + 0.5*b122*b203 + 0.5*b122*b204 + 0.5*b122*b211
      + 0.5*b122*b219 + 0.5*b122*b221 + 0.5*b122*b224 + 0.5*b122*b230 + 0.5*
     b122*b233 + 0.5*b122*b234 + 0.5*b122*b249 + 0.5*b122*b266 + 0.5*b122*b270
      + 0.5*b122*b272 + 0.5*b122*b285 + 0.5*b122*b286 + 0.5*b122*b303 + 0.5*
     b122*b306 + 0.5*b122*b312 + 0.5*b122*b317 + 0.5*b122*b327 + 0.5*b122*b329
      + b122*x451 + b123*b126 + b123*b132 + b123*x443 + b124*b133 + b124*b134
      + 0.5*b124*b149 + 0.5*b124*b153 + 0.5*b124*b155 + 0.5*b124*b159 + 0.5*
     b124*b160 + 0.5*b124*b164 + 0.5*b124*b168 + 0.5*b124*b169 + 0.5*b124*b171
      + 0.5*b124*b176 + 0.5*b124*b178 + 0.5*b124*b179 + 0.5*b124*b202 + 0.5*
     b124*b203 + 0.5*b124*b204 + 0.5*b124*b211 + 0.5*b124*b219 + 0.5*b124*b221
      + 0.5*b124*b224 + 0.5*b124*b230 + 0.5*b124*b233 + 0.5*b124*b234 + 0.5*
     b124*b249 + 0.5*b124*b266 + 0.5*b124*b270 + 0.5*b124*b272 + 0.5*b124*b285
      + 0.5*b124*b286 + 0.5*b124*b303 + 0.5*b124*b306 + 0.5*b124*b312 + 0.5*
     b124*b317 + 0.5*b124*b327 + 0.5*b124*b329 + b124*x451 + b125*x434 + b125*
     x435 + b126*b132 + b126*x443 + b127*b128 + 0.5*b127*b129 + b127*b130 + 0.5
     *b127*b136 + b127*b140 + 0.5*b127*b146 + 0.5*b127*b161 + 0.5*b127*b163 + 
     0.5*b127*b166 + 0.5*b127*b172 + 0.5*b127*b177 + 0.5*b127*b180 + 0.5*b127*
     b185 + 0.5*b127*b188 + 0.5*b127*b192 + 0.5*b127*b195 + 0.5*b127*b206 + 0.5
     *b127*b207 + 0.5*b127*b210 + 0.5*b127*b213 + 0.5*b127*b222 + 0.5*b127*b227
      + 0.5*b127*b231 + 0.5*b127*b235 + 0.5*b127*b236 + 0.5*b127*b238 + 0.5*
     b127*b241 + 0.5*b127*b242 + 0.5*b127*b243 + 0.5*b127*b246 + 0.5*b127*b257
      + 0.5*b127*b261 + 0.5*b127*b262 + 0.5*b127*b271 + 0.5*b127*b274 + 0.5*
     b127*b275 + 0.5*b127*b276 + 0.5*b127*b277 + 0.5*b127*b278 + 0.5*b127*b279
      + 0.5*b127*b284 + 0.5*b127*b288 + 0.5*b127*b295 + 0.5*b127*b296 + 0.5*
     b127*b297 + 0.5*b127*b300 + 0.5*b127*b301 + 0.5*b127*b307 + 0.5*b127*b309
      + 0.5*b127*b310 + 0.5*b127*b319 + 0.5*b127*b324 + 0.5*b127*b326 + 0.5*
     b127*b331 + 0.5*b127*b332 + 0.5*b127*b334 + 0.5*b127*b335 + 0.5*b127*b336
      + 0.5*b127*b337 + 0.5*b127*b339 + 0.5*b128*b129 + b128*b130 + 0.5*b128*
     b136 + b128*b140 + 0.5*b128*b146 + 0.5*b128*b161 + 0.5*b128*b163 + 0.5*
     b128*b166 + 0.5*b128*b172 + 0.5*b128*b177 + 0.5*b128*b180 + 0.5*b128*b185
      + 0.5*b128*b188 + 0.5*b128*b192 + 0.5*b128*b195 + 0.5*b128*b206 + 0.5*
     b128*b207 + 0.5*b128*b210 + 0.5*b128*b213 + 0.5*b128*b222 + 0.5*b128*b227
      + 0.5*b128*b231 + 0.5*b128*b235 + 0.5*b128*b236 + 0.5*b128*b238 + 0.5*
     b128*b241 + 0.5*b128*b242 + 0.5*b128*b243 + 0.5*b128*b246 + 0.5*b128*b257
      + 0.5*b128*b261 + 0.5*b128*b262 + 0.5*b128*b271 + 0.5*b128*b274 + 0.5*
     b128*b275 + 0.5*b128*b276 + 0.5*b128*b277 + 0.5*b128*b278 + 0.5*b128*b279
      + 0.5*b128*b284 + 0.5*b128*b288 + 0.5*b128*b295 + 0.5*b128*b296 + 0.5*
     b128*b297 + 0.5*b128*b300 + 0.5*b128*b301 + 0.5*b128*b307 + 0.5*b128*b309
      + 0.5*b128*b310 + 0.5*b128*b319 + 0.5*b128*b324 + 0.5*b128*b326 + 0.5*
     b128*b331 + 0.5*b128*b332 + 0.5*b128*b334 + 0.5*b128*b335 + 0.5*b128*b336
      + 0.5*b128*b337 + 0.5*b128*b339 + 0.5*b129*b130 + b129*b136 + 0.5*b129*
     b140 + 0.5*b129*b144 + 0.5*b129*b146 + 0.5*b129*b163 + 0.5*b129*b166 + 0.5
     *b129*b173 + 0.5*b129*b174 + 0.5*b129*b177 + 0.5*b129*b180 + 0.5*b129*b185
      + 0.5*b129*b190 + 0.5*b129*b192 + 0.5*b129*b195 + 0.5*b129*b196 + 0.5*
     b129*b206 + 0.5*b129*b207 + 0.5*b129*b210 + 0.5*b129*b212 + 0.5*b129*b215
      + 0.5*b129*b217 + 0.5*b129*b222 + 0.5*b129*b227 + 0.5*b129*b231 + 0.5*
     b129*b232 + 0.5*b129*b235 + 0.5*b129*b236 + 0.5*b129*b237 + 0.5*b129*b238
      + 0.5*b129*b239 + 0.5*b129*b241 + 0.5*b129*b242 + 0.5*b129*b243 + 0.5*
     b129*b257 + 0.5*b129*b261 + 0.5*b129*b262 + 0.5*b129*b271 + 0.5*b129*b274
      + 0.5*b129*b276 + 0.5*b129*b277 + 0.5*b129*b279 + 0.5*b129*b288 + 0.5*
     b129*b293 + 0.5*b129*b295 + 0.5*b129*b296 + 0.5*b129*b297 + 0.5*b129*b307
      + 0.5*b129*b308 + 0.5*b129*b310 + 0.5*b129*b315 + 0.5*b129*b318 + 0.5*
     b129*b331 + 0.5*b129*b334 + 0.5*b129*b335 + 0.5*b129*b336 + 0.5*b129*b337
      + 0.5*b129*b339 + b129*x450 + 0.5*b130*b136 + b130*b140 + 0.5*b130*b146
      + 0.5*b130*b161 + 0.5*b130*b163 + 0.5*b130*b166 + 0.5*b130*b172 + 0.5*
     b130*b177 + 0.5*b130*b180 + 0.5*b130*b185 + 0.5*b130*b188 + 0.5*b130*b192
      + 0.5*b130*b195 + 0.5*b130*b206 + 0.5*b130*b207 + 0.5*b130*b210 + 0.5*
     b130*b213 + 0.5*b130*b222 + 0.5*b130*b227 + 0.5*b130*b231 + 0.5*b130*b235
      + 0.5*b130*b236 + 0.5*b130*b238 + 0.5*b130*b241 + 0.5*b130*b242 + 0.5*
     b130*b243 + 0.5*b130*b246 + 0.5*b130*b257 + 0.5*b130*b261 + 0.5*b130*b262
      + 0.5*b130*b271 + 0.5*b130*b274 + 0.5*b130*b275 + 0.5*b130*b276 + 0.5*
     b130*b277 + 0.5*b130*b278 + 0.5*b130*b279 + 0.5*b130*b284 + 0.5*b130*b288
      + 0.5*b130*b295 + 0.5*b130*b296 + 0.5*b130*b297 + 0.5*b130*b300 + 0.5*
     b130*b301 + 0.5*b130*b307 + 0.5*b130*b309 + 0.5*b130*b310 + 0.5*b130*b319
      + 0.5*b130*b324 + 0.5*b130*b326 + 0.5*b130*b331 + 0.5*b130*b332 + 0.5*
     b130*b334 + 0.5*b130*b335 + 0.5*b130*b336 + 0.5*b130*b337 + 0.5*b130*b339
      + b131*b135 + b131*b137 + b131*b138 + b131*b141 + b132*x443 + b133*b134
      + 0.5*b133*b149 + 0.5*b133*b153 + 0.5*b133*b155 + 0.5*b133*b159 + 0.5*
     b133*b160 + 0.5*b133*b164 + 0.5*b133*b168 + 0.5*b133*b169 + 0.5*b133*b171
      + 0.5*b133*b176 + 0.5*b133*b178 + 0.5*b133*b179 + 0.5*b133*b202 + 0.5*
     b133*b203 + 0.5*b133*b204 + 0.5*b133*b211 + 0.5*b133*b219 + 0.5*b133*b221
      + 0.5*b133*b224 + 0.5*b133*b230 + 0.5*b133*b233 + 0.5*b133*b234 + 0.5*
     b133*b249 + 0.5*b133*b266 + 0.5*b133*b270 + 0.5*b133*b272 + 0.5*b133*b285
      + 0.5*b133*b286 + 0.5*b133*b303 + 0.5*b133*b306 + 0.5*b133*b312 + 0.5*
     b133*b317 + 0.5*b133*b327 + 0.5*b133*b329 + b133*x451 + 0.5*b134*b149 + 
     0.5*b134*b153 + 0.5*b134*b155 + 0.5*b134*b159 + 0.5*b134*b160 + 0.5*b134*
     b164 + 0.5*b134*b168 + 0.5*b134*b169 + 0.5*b134*b171 + 0.5*b134*b176 + 0.5
     *b134*b178 + 0.5*b134*b179 + 0.5*b134*b202 + 0.5*b134*b203 + 0.5*b134*b204
      + 0.5*b134*b211 + 0.5*b134*b219 + 0.5*b134*b221 + 0.5*b134*b224 + 0.5*
     b134*b230 + 0.5*b134*b233 + 0.5*b134*b234 + 0.5*b134*b249 + 0.5*b134*b266
      + 0.5*b134*b270 + 0.5*b134*b272 + 0.5*b134*b285 + 0.5*b134*b286 + 0.5*
     b134*b303 + 0.5*b134*b306 + 0.5*b134*b312 + 0.5*b134*b317 + 0.5*b134*b327
      + 0.5*b134*b329 + b134*x451 + b135*b137 + b135*b138 + b135*b141 + 0.5*
     b136*b140 + 0.5*b136*b144 + 0.5*b136*b146 + 0.5*b136*b163 + 0.5*b136*b166
      + 0.5*b136*b173 + 0.5*b136*b174 + 0.5*b136*b177 + 0.5*b136*b180 + 0.5*
     b136*b185 + 0.5*b136*b190 + 0.5*b136*b192 + 0.5*b136*b195 + 0.5*b136*b196
      + 0.5*b136*b206 + 0.5*b136*b207 + 0.5*b136*b210 + 0.5*b136*b212 + 0.5*
     b136*b215 + 0.5*b136*b217 + 0.5*b136*b222 + 0.5*b136*b227 + 0.5*b136*b231
      + 0.5*b136*b232 + 0.5*b136*b235 + 0.5*b136*b236 + 0.5*b136*b237 + 0.5*
     b136*b238 + 0.5*b136*b239 + 0.5*b136*b241 + 0.5*b136*b242 + 0.5*b136*b243
      + 0.5*b136*b257 + 0.5*b136*b261 + 0.5*b136*b262 + 0.5*b136*b271 + 0.5*
     b136*b274 + 0.5*b136*b276 + 0.5*b136*b277 + 0.5*b136*b279 + 0.5*b136*b288
      + 0.5*b136*b293 + 0.5*b136*b295 + 0.5*b136*b296 + 0.5*b136*b297 + 0.5*
     b136*b307 + 0.5*b136*b308 + 0.5*b136*b310 + 0.5*b136*b315 + 0.5*b136*b318
      + 0.5*b136*b331 + 0.5*b136*b334 + 0.5*b136*b335 + 0.5*b136*b336 + 0.5*
     b136*b337 + 0.5*b136*b339 + b136*x450 + b137*b138 + b137*b141 + b138*b141
      + 0.5*b139*b143 + 0.5*b139*b153 + 0.5*b139*b155 + 0.5*b139*b168 + 0.5*
     b139*b178 + 0.5*b139*b179 + 0.5*b139*b185 + 0.5*b139*b193 + 0.5*b139*b197
      + 0.5*b139*b199 + 0.5*b139*b202 + 0.5*b139*b203 + 0.5*b139*b204 + 0.5*
     b139*b216 + 0.5*b139*b221 + 0.5*b139*b225 + 0.5*b139*b234 + 0.5*b139*b246
      + 0.5*b139*b248 + 0.5*b139*b249 + 0.5*b139*b255 + 0.5*b139*b261 + 0.5*
     b139*b264 + 0.5*b139*b266 + 0.5*b139*b267 + 0.5*b139*b269 + 0.5*b139*b271
      + 0.5*b139*b272 + 0.5*b139*b275 + 0.5*b139*b279 + 0.5*b139*b280 + 0.5*
     b139*b286 + 0.5*b139*b287 + 0.5*b139*b289 + 0.5*b139*b290 + 0.5*b139*b294
      + 0.5*b139*b296 + 0.5*b139*b314 + 0.5*b139*b317 + 0.5*b139*b318 + 0.5*
     b139*b319 + 0.5*b139*b321 + 0.5*b139*b326 + 0.5*b139*b328 + 0.5*b139*b330
      + 0.5*b139*b332 + b139*b340 + b139*b341 + b139*b342 + b139*b343 + b139*
     x452 + 0.5*b140*b146 + 0.5*b140*b161 + 0.5*b140*b163 + 0.5*b140*b166 + 0.5
     *b140*b172 + 0.5*b140*b177 + 0.5*b140*b180 + 0.5*b140*b185 + 0.5*b140*b188
      + 0.5*b140*b192 + 0.5*b140*b195 + 0.5*b140*b206 + 0.5*b140*b207 + 0.5*
     b140*b210 + 0.5*b140*b213 + 0.5*b140*b222 + 0.5*b140*b227 + 0.5*b140*b231
      + 0.5*b140*b235 + 0.5*b140*b236 + 0.5*b140*b238 + 0.5*b140*b241 + 0.5*
     b140*b242 + 0.5*b140*b243 + 0.5*b140*b246 + 0.5*b140*b257 + 0.5*b140*b261
      + 0.5*b140*b262 + 0.5*b140*b271 + 0.5*b140*b274 + 0.5*b140*b275 + 0.5*
     b140*b276 + 0.5*b140*b277 + 0.5*b140*b278 + 0.5*b140*b279 + 0.5*b140*b284
      + 0.5*b140*b288 + 0.5*b140*b295 + 0.5*b140*b296 + 0.5*b140*b297 + 0.5*
     b140*b300 + 0.5*b140*b301 + 0.5*b140*b307 + 0.5*b140*b309 + 0.5*b140*b310
      + 0.5*b140*b319 + 0.5*b140*b324 + 0.5*b140*b326 + 0.5*b140*b331 + 0.5*
     b140*b332 + 0.5*b140*b334 + 0.5*b140*b335 + 0.5*b140*b336 + 0.5*b140*b337
      + 0.5*b140*b339 + 0.5*b142*b147 + b142*b150 + 0.5*b142*b158 + 0.5*b142*
     b162 + b142*b165 + 0.5*b142*b170 + 0.5*b142*b181 + 0.5*b142*b186 + 0.5*
     b142*b187 + 0.5*b142*b198 + 0.5*b142*b201 + 0.5*b142*b205 + 0.5*b142*b223
      + 0.5*b142*b240 + 0.5*b142*b251 + b142*b258 + 0.5*b142*b259 + 0.5*b142*
     b260 + 0.5*b142*b263 + 0.5*b142*b268 + 0.5*b142*b281 + 0.5*b142*b282 + 0.5
     *b142*b292 + 0.5*b142*b304 + b142*b320 + 0.5*b142*b323 + 0.5*b142*b325 + 
     b142*x453 + b142*x454 + 0.5*b143*b153 + 0.5*b143*b155 + 0.5*b143*b168 + 
     0.5*b143*b179 + 0.5*b143*b183 + 0.5*b143*b185 + b143*b197 + 0.5*b143*b199
      + 0.5*b143*b203 + 0.5*b143*b204 + 0.5*b143*b246 + 0.5*b143*b248 + 0.5*
     b143*b249 + 0.5*b143*b261 + 0.5*b143*b264 + 0.5*b143*b266 + b143*b267 + 
     0.5*b143*b269 + 0.5*b143*b271 + 0.5*b143*b275 + 0.5*b143*b279 + 0.5*b143*
     b280 + 0.5*b143*b286 + 0.5*b143*b287 + b143*b290 + b143*b294 + 0.5*b143*
     b296 + 0.5*b143*b314 + 0.5*b143*b317 + 0.5*b143*b319 + 0.5*b143*b321 + 0.5
     *b143*b326 + 0.5*b143*b328 + 0.5*b143*b330 + 0.5*b143*b332 + 0.5*b143*b340
      + 0.5*b143*b341 + 0.5*b143*b342 + 0.5*b143*b343 + b143*x445 + 0.5*b144*
     b161 + 0.5*b144*b167 + 0.5*b144*b172 + 0.5*b144*b173 + 0.5*b144*b174 + 0.5
     *b144*b190 + 0.5*b144*b194 + b144*b196 + 0.5*b144*b212 + 0.5*b144*b215 + 
     0.5*b144*b217 + b144*b232 + b144*b237 + 0.5*b144*b239 + 0.5*b144*b278 + 
     0.5*b144*b293 + 0.5*b144*b298 + 0.5*b144*b301 + 0.5*b144*b305 + b144*b308
      + 0.5*b144*b311 + 0.5*b144*b315 + 0.5*b144*b318 + 0.5*b144*b324 + b144*
     x455 + b144*x450 + 0.5*b145*b148 + b145*b156 + 0.5*b145*b189 + 0.5*b145*
     b198 + 0.5*b145*b200 + 0.5*b145*b201 + 0.5*b145*b209 + b145*b220 + 0.5*
     b145*b256 + 0.5*b145*b259 + b145*b273 + 0.5*b145*b281 + 0.5*b145*b282 + 
     0.5*b145*b283 + b145*b291 + 0.5*b145*b322 + b145*x456 + b146*b163 + 0.5*
     b146*b164 + 0.5*b146*b166 + 0.5*b146*b171 + b146*b177 + 0.5*b146*b180 + 
     0.5*b146*b185 + 0.5*b146*b192 + b146*b195 + 0.5*b146*b206 + 0.5*b146*b207
      + 0.5*b146*b210 + 0.5*b146*b222 + b146*b227 + 0.5*b146*b230 + 0.5*b146*
     b231 + 0.5*b146*b235 + 0.5*b146*b236 + 0.5*b146*b238 + 0.5*b146*b241 + 0.5
     *b146*b242 + 0.5*b146*b243 + 0.5*b146*b257 + 0.5*b146*b261 + 0.5*b146*b262
      + 0.5*b146*b271 + 0.5*b146*b274 + 0.5*b146*b276 + 0.5*b146*b277 + 0.5*
     b146*b279 + 0.5*b146*b288 + 0.5*b146*b295 + 0.5*b146*b296 + 0.5*b146*b297
      + 0.5*b146*b307 + 0.5*b146*b310 + 0.5*b146*b331 + 0.5*b146*b334 + 0.5*
     b146*b335 + 0.5*b146*b336 + 0.5*b146*b337 + 0.5*b146*b339 + b146*x457 + 
     0.5*b147*b150 + 0.5*b147*b151 + 0.5*b147*b152 + 0.5*b147*b154 + 0.5*b147*
     b157 + 0.5*b147*b162 + 0.5*b147*b165 + 0.5*b147*b167 + 0.5*b147*b170 + 
     b147*b181 + 0.5*b147*b182 + 0.5*b147*b184 + b147*b186 + 0.5*b147*b191 + 
     0.5*b147*b193 + 0.5*b147*b194 + 0.5*b147*b198 + 0.5*b147*b201 + 0.5*b147*
     b216 + 0.5*b147*b218 + b147*b223 + 0.5*b147*b225 + 0.5*b147*b226 + 0.5*
     b147*b229 + 0.5*b147*b245 + 0.5*b147*b250 + 0.5*b147*b251 + 0.5*b147*b252
      + 0.5*b147*b254 + 0.5*b147*b255 + 0.5*b147*b258 + 0.5*b147*b259 + 0.5*
     b147*b265 + 0.5*b147*b268 + 0.5*b147*b281 + 0.5*b147*b282 + 0.5*b147*b289
      + 0.5*b147*b292 + 0.5*b147*b298 + 0.5*b147*b299 + 0.5*b147*b302 + 0.5*
     b147*b305 + 0.5*b147*b311 + 0.5*b147*b316 + 0.5*b147*b320 + b147*b323 + 
     0.5*b147*b325 + 0.5*b147*b333 + 0.5*b147*b338 + b147*x454 + 0.5*b148*b156
      + 0.5*b148*b220 + 0.5*b148*b273 + 0.5*b148*b291 + b148*x456 + b148*x458
      + 0.5*b149*b153 + 0.5*b149*b159 + b149*b160 + 0.5*b149*b164 + 0.5*b149*
     b168 + 0.5*b149*b169 + 0.5*b149*b171 + 0.5*b149*b176 + 0.5*b149*b203 + 0.5
     *b149*b204 + b149*b211 + 0.5*b149*b224 + 0.5*b149*b230 + b149*b233 + 0.5*
     b149*b270 + 0.5*b149*b285 + 0.5*b149*b303 + 0.5*b149*b306 + 0.5*b149*b312
      + 0.5*b149*b317 + 0.5*b149*b327 + 0.5*b149*b329 + b149*x459 + 0.5*b150*
     b158 + 0.5*b150*b162 + b150*b165 + 0.5*b150*b170 + 0.5*b150*b181 + 0.5*
     b150*b186 + 0.5*b150*b187 + 0.5*b150*b198 + 0.5*b150*b201 + 0.5*b150*b205
      + 0.5*b150*b223 + 0.5*b150*b240 + 0.5*b150*b251 + b150*b258 + 0.5*b150*
     b259 + 0.5*b150*b260 + 0.5*b150*b263 + 0.5*b150*b268 + 0.5*b150*b281 + 0.5
     *b150*b282 + 0.5*b150*b292 + 0.5*b150*b304 + b150*b320 + 0.5*b150*b323 + 
     0.5*b150*b325 + b150*x453 + b150*x454 + 0.5*b151*b152 + 0.5*b151*b154 + 
     0.5*b151*b157 + 0.5*b151*b167 + 0.5*b151*b181 + 0.5*b151*b182 + 0.5*b151*
     b184 + 0.5*b151*b186 + 0.5*b151*b187 + 0.5*b151*b190 + 0.5*b151*b191 + 0.5
     *b151*b193 + 0.5*b151*b194 + 0.5*b151*b212 + 0.5*b151*b215 + 0.5*b151*b216
      + 0.5*b151*b217 + b151*b218 + 0.5*b151*b223 + 0.5*b151*b225 + 0.5*b151*
     b226 + 0.5*b151*b229 + b151*b245 + 0.5*b151*b250 + 0.5*b151*b252 + 0.5*
     b151*b254 + 0.5*b151*b255 + 0.5*b151*b265 + 0.5*b151*b289 + 0.5*b151*b298
      + 0.5*b151*b299 + 0.5*b151*b302 + 0.5*b151*b305 + 0.5*b151*b311 + 0.5*
     b151*b315 + b151*b316 + 0.5*b151*b323 + 0.5*b151*b333 + b151*b338 + b151*
     x460 + 0.5*b152*b154 + b152*b157 + 0.5*b152*b167 + 0.5*b152*b181 + 0.5*
     b152*b182 + 0.5*b152*b184 + 0.5*b152*b186 + 0.5*b152*b191 + 0.5*b152*b193
      + 0.5*b152*b194 + 0.5*b152*b216 + 0.5*b152*b218 + 0.5*b152*b223 + 0.5*
     b152*b225 + b152*b226 + 0.5*b152*b229 + 0.5*b152*b245 + 0.5*b152*b250 + 
     0.5*b152*b252 + 0.5*b152*b254 + 0.5*b152*b255 + b152*b265 + 0.5*b152*b289
      + 0.5*b152*b298 + 0.5*b152*b299 + 0.5*b152*b302 + 0.5*b152*b305 + 0.5*
     b152*b311 + 0.5*b152*b316 + 0.5*b152*b323 + b152*b333 + 0.5*b152*b338 + 
     b152*x461 + 0.5*b153*b155 + 0.5*b153*b159 + 0.5*b153*b160 + 0.5*b153*b164
      + b153*b168 + 0.5*b153*b169 + 0.5*b153*b171 + 0.5*b153*b176 + 0.5*b153*
     b179 + 0.5*b153*b185 + 0.5*b153*b197 + 0.5*b153*b199 + b153*b203 + b153*
     b204 + 0.5*b153*b211 + 0.5*b153*b224 + 0.5*b153*b230 + 0.5*b153*b233 + 0.5
     *b153*b246 + 0.5*b153*b248 + 0.5*b153*b249 + 0.5*b153*b261 + 0.5*b153*b264
      + 0.5*b153*b266 + 0.5*b153*b267 + 0.5*b153*b269 + 0.5*b153*b270 + 0.5*
     b153*b271 + 0.5*b153*b275 + 0.5*b153*b279 + 0.5*b153*b280 + 0.5*b153*b285
      + 0.5*b153*b286 + 0.5*b153*b287 + 0.5*b153*b290 + 0.5*b153*b294 + 0.5*
     b153*b296 + 0.5*b153*b303 + 0.5*b153*b306 + 0.5*b153*b312 + 0.5*b153*b314
      + b153*b317 + 0.5*b153*b319 + 0.5*b153*b321 + 0.5*b153*b326 + 0.5*b153*
     b327 + 0.5*b153*b328 + 0.5*b153*b329 + 0.5*b153*b330 + 0.5*b153*b332 + 0.5
     *b153*b340 + 0.5*b153*b341 + 0.5*b153*b342 + 0.5*b153*b343 + 0.5*b154*b157
      + 0.5*b154*b167 + 0.5*b154*b181 + 0.5*b154*b182 + b154*b184 + 0.5*b154*
     b186 + 0.5*b154*b189 + b154*b191 + 0.5*b154*b193 + 0.5*b154*b194 + 0.5*
     b154*b200 + 0.5*b154*b205 + 0.5*b154*b208 + 0.5*b154*b209 + 0.5*b154*b216
      + 0.5*b154*b218 + 0.5*b154*b223 + 0.5*b154*b225 + 0.5*b154*b226 + 0.5*
     b154*b228 + b154*b229 + 0.5*b154*b244 + 0.5*b154*b245 + 0.5*b154*b250 + 
     0.5*b154*b252 + 0.5*b154*b253 + 0.5*b154*b254 + 0.5*b154*b255 + 0.5*b154*
     b256 + 0.5*b154*b260 + 0.5*b154*b265 + 0.5*b154*b289 + 0.5*b154*b298 + 
     b154*b299 + 0.5*b154*b302 + 0.5*b154*b305 + 0.5*b154*b311 + 0.5*b154*b313
      + 0.5*b154*b316 + 0.5*b154*b322 + 0.5*b154*b323 + 0.5*b154*b333 + 0.5*
     b154*b338 + b154*x462 + 0.5*b155*b168 + 0.5*b155*b178 + b155*b179 + 0.5*
     b155*b185 + 0.5*b155*b197 + 0.5*b155*b199 + 0.5*b155*b202 + 0.5*b155*b203
      + 0.5*b155*b204 + 0.5*b155*b219 + 0.5*b155*b221 + 0.5*b155*b234 + 0.5*
     b155*b246 + 0.5*b155*b248 + b155*b249 + 0.5*b155*b261 + 0.5*b155*b264 + 
     b155*b266 + 0.5*b155*b267 + 0.5*b155*b269 + 0.5*b155*b271 + 0.5*b155*b272
      + 0.5*b155*b275 + 0.5*b155*b279 + 0.5*b155*b280 + b155*b286 + 0.5*b155*
     b287 + 0.5*b155*b290 + 0.5*b155*b294 + 0.5*b155*b296 + 0.5*b155*b314 + 0.5
     *b155*b317 + 0.5*b155*b319 + 0.5*b155*b321 + 0.5*b155*b326 + 0.5*b155*b328
      + 0.5*b155*b330 + 0.5*b155*b332 + 0.5*b155*b340 + 0.5*b155*b341 + 0.5*
     b155*b342 + 0.5*b155*b343 + b155*x451 + 0.5*b156*b189 + 0.5*b156*b198 + 
     0.5*b156*b200 + 0.5*b156*b201 + 0.5*b156*b209 + b156*b220 + 0.5*b156*b256
      + 0.5*b156*b259 + b156*b273 + 0.5*b156*b281 + 0.5*b156*b282 + 0.5*b156*
     b283 + b156*b291 + 0.5*b156*b322 + b156*x456 + 0.5*b157*b167 + 0.5*b157*
     b181 + 0.5*b157*b182 + 0.5*b157*b184 + 0.5*b157*b186 + 0.5*b157*b191 + 0.5
     *b157*b193 + 0.5*b157*b194 + 0.5*b157*b216 + 0.5*b157*b218 + 0.5*b157*b223
      + 0.5*b157*b225 + b157*b226 + 0.5*b157*b229 + 0.5*b157*b245 + 0.5*b157*
     b250 + 0.5*b157*b252 + 0.5*b157*b254 + 0.5*b157*b255 + b157*b265 + 0.5*
     b157*b289 + 0.5*b157*b298 + 0.5*b157*b299 + 0.5*b157*b302 + 0.5*b157*b305
      + 0.5*b157*b311 + 0.5*b157*b316 + 0.5*b157*b323 + b157*b333 + 0.5*b157*
     b338 + b157*x461 + 0.5*b158*b165 + 0.5*b158*b173 + 0.5*b158*b174 + 0.5*
     b158*b182 + 0.5*b158*b187 + 0.5*b158*b205 + 0.5*b158*b214 + 0.5*b158*b239
      + b158*b240 + 0.5*b158*b247 + 0.5*b158*b250 + 0.5*b158*b252 + 0.5*b158*
     b254 + 0.5*b158*b258 + 0.5*b158*b260 + b158*b263 + 0.5*b158*b293 + 0.5*
     b158*b302 + b158*b304 + 0.5*b158*b320 + b158*x453 + b158*x463 + 0.5*b159*
     b160 + 0.5*b159*b164 + 0.5*b159*b168 + b159*b169 + 0.5*b159*b171 + b159*
     b176 + 0.5*b159*b203 + 0.5*b159*b204 + 0.5*b159*b206 + 0.5*b159*b211 + 0.5
     *b159*b224 + 0.5*b159*b230 + 0.5*b159*b233 + b159*b270 + 0.5*b159*b285 + 
     0.5*b159*b288 + 0.5*b159*b295 + 0.5*b159*b297 + 0.5*b159*b303 + 0.5*b159*
     b306 + 0.5*b159*b310 + 0.5*b159*b312 + 0.5*b159*b317 + 0.5*b159*b327 + 
     b159*b329 + b159*x464 + 0.5*b160*b164 + 0.5*b160*b168 + 0.5*b160*b169 + 
     0.5*b160*b171 + 0.5*b160*b176 + 0.5*b160*b203 + 0.5*b160*b204 + b160*b211
      + 0.5*b160*b224 + 0.5*b160*b230 + b160*b233 + 0.5*b160*b270 + 0.5*b160*
     b285 + 0.5*b160*b303 + 0.5*b160*b306 + 0.5*b160*b312 + 0.5*b160*b317 + 0.5
     *b160*b327 + 0.5*b160*b329 + b160*x459 + 0.5*b161*b167 + b161*b172 + 0.5*
     b161*b188 + 0.5*b161*b194 + 0.5*b161*b196 + 0.5*b161*b213 + 0.5*b161*b232
      + 0.5*b161*b237 + 0.5*b161*b246 + 0.5*b161*b275 + b161*b278 + 0.5*b161*
     b284 + 0.5*b161*b298 + 0.5*b161*b300 + b161*b301 + 0.5*b161*b305 + 0.5*
     b161*b308 + 0.5*b161*b309 + 0.5*b161*b311 + 0.5*b161*b319 + b161*b324 + 
     0.5*b161*b326 + 0.5*b161*b332 + b161*x455 + 0.5*b162*b165 + b162*b170 + 
     0.5*b162*b181 + 0.5*b162*b186 + 0.5*b162*b198 + 0.5*b162*b201 + 0.5*b162*
     b208 + 0.5*b162*b223 + 0.5*b162*b228 + 0.5*b162*b244 + 0.5*b162*b247 + 
     b162*b251 + 0.5*b162*b253 + 0.5*b162*b258 + 0.5*b162*b259 + b162*b268 + 
     0.5*b162*b281 + 0.5*b162*b282 + b162*b292 + 0.5*b162*b313 + 0.5*b162*b320
      + 0.5*b162*b323 + 0.5*b162*b325 + b162*x465 + b162*x454 + 0.5*b163*b164
      + 0.5*b163*b166 + 0.5*b163*b171 + b163*b177 + 0.5*b163*b180 + 0.5*b163*
     b185 + 0.5*b163*b192 + b163*b195 + 0.5*b163*b206 + 0.5*b163*b207 + 0.5*
     b163*b210 + 0.5*b163*b222 + b163*b227 + 0.5*b163*b230 + 0.5*b163*b231 + 
     0.5*b163*b235 + 0.5*b163*b236 + 0.5*b163*b238 + 0.5*b163*b241 + 0.5*b163*
     b242 + 0.5*b163*b243 + 0.5*b163*b257 + 0.5*b163*b261 + 0.5*b163*b262 + 0.5
     *b163*b271 + 0.5*b163*b274 + 0.5*b163*b276 + 0.5*b163*b277 + 0.5*b163*b279
      + 0.5*b163*b288 + 0.5*b163*b295 + 0.5*b163*b296 + 0.5*b163*b297 + 0.5*
     b163*b307 + 0.5*b163*b310 + 0.5*b163*b331 + 0.5*b163*b334 + 0.5*b163*b335
      + 0.5*b163*b336 + 0.5*b163*b337 + 0.5*b163*b339 + b163*x457 + 0.5*b164*
     b168 + 0.5*b164*b169 + b164*b171 + 0.5*b164*b176 + 0.5*b164*b177 + 0.5*
     b164*b195 + 0.5*b164*b203 + 0.5*b164*b204 + 0.5*b164*b211 + 0.5*b164*b224
      + 0.5*b164*b227 + b164*b230 + 0.5*b164*b233 + 0.5*b164*b270 + 0.5*b164*
     b285 + 0.5*b164*b303 + 0.5*b164*b306 + 0.5*b164*b312 + 0.5*b164*b317 + 0.5
     *b164*b327 + 0.5*b164*b329 + b164*x457 + 0.5*b165*b170 + 0.5*b165*b181 + 
     0.5*b165*b186 + 0.5*b165*b187 + 0.5*b165*b198 + 0.5*b165*b201 + 0.5*b165*
     b205 + 0.5*b165*b223 + 0.5*b165*b240 + 0.5*b165*b251 + b165*b258 + 0.5*
     b165*b259 + 0.5*b165*b260 + 0.5*b165*b263 + 0.5*b165*b268 + 0.5*b165*b281
      + 0.5*b165*b282 + 0.5*b165*b292 + 0.5*b165*b304 + b165*b320 + 0.5*b165*
     b323 + 0.5*b165*b325 + b165*x453 + b165*x454 + 0.5*b166*b177 + b166*b180
      + 0.5*b166*b185 + 0.5*b166*b192 + 0.5*b166*b195 + 0.5*b166*b206 + b166*
     b207 + 0.5*b166*b210 + 0.5*b166*b222 + 0.5*b166*b224 + 0.5*b166*b227 + 0.5
     *b166*b231 + 0.5*b166*b235 + 0.5*b166*b236 + 0.5*b166*b238 + 0.5*b166*b241
      + 0.5*b166*b242 + 0.5*b166*b243 + 0.5*b166*b257 + 0.5*b166*b261 + 0.5*
     b166*b262 + 0.5*b166*b271 + 0.5*b166*b274 + b166*b276 + 0.5*b166*b277 + 
     0.5*b166*b279 + 0.5*b166*b288 + 0.5*b166*b295 + 0.5*b166*b296 + 0.5*b166*
     b297 + 0.5*b166*b307 + 0.5*b166*b310 + 0.5*b166*b331 + 0.5*b166*b334 + 
     b166*b335 + 0.5*b166*b336 + 0.5*b166*b337 + 0.5*b166*b339 + b166*x466 + 
     0.5*b167*b172 + 0.5*b167*b181 + 0.5*b167*b182 + 0.5*b167*b184 + 0.5*b167*
     b186 + 0.5*b167*b191 + 0.5*b167*b193 + b167*b194 + 0.5*b167*b196 + 0.5*
     b167*b216 + 0.5*b167*b218 + 0.5*b167*b223 + 0.5*b167*b225 + 0.5*b167*b226
      + 0.5*b167*b229 + 0.5*b167*b232 + 0.5*b167*b237 + 0.5*b167*b245 + 0.5*
     b167*b250 + 0.5*b167*b252 + 0.5*b167*b254 + 0.5*b167*b255 + 0.5*b167*b265
      + 0.5*b167*b278 + 0.5*b167*b289 + b167*b298 + 0.5*b167*b299 + 0.5*b167*
     b301 + 0.5*b167*b302 + b167*b305 + 0.5*b167*b308 + b167*b311 + 0.5*b167*
     b316 + 0.5*b167*b323 + 0.5*b167*b324 + 0.5*b167*b333 + 0.5*b167*b338 + 
     b167*x455 + 0.5*b168*b169 + 0.5*b168*b171 + 0.5*b168*b176 + 0.5*b168*b179
      + 0.5*b168*b185 + 0.5*b168*b197 + 0.5*b168*b199 + b168*b203 + b168*b204
      + 0.5*b168*b211 + 0.5*b168*b224 + 0.5*b168*b230 + 0.5*b168*b233 + 0.5*
     b168*b246 + 0.5*b168*b248 + 0.5*b168*b249 + 0.5*b168*b261 + 0.5*b168*b264
      + 0.5*b168*b266 + 0.5*b168*b267 + 0.5*b168*b269 + 0.5*b168*b270 + 0.5*
     b168*b271 + 0.5*b168*b275 + 0.5*b168*b279 + 0.5*b168*b280 + 0.5*b168*b285
      + 0.5*b168*b286 + 0.5*b168*b287 + 0.5*b168*b290 + 0.5*b168*b294 + 0.5*
     b168*b296 + 0.5*b168*b303 + 0.5*b168*b306 + 0.5*b168*b312 + 0.5*b168*b314
      + b168*b317 + 0.5*b168*b319 + 0.5*b168*b321 + 0.5*b168*b326 + 0.5*b168*
     b327 + 0.5*b168*b328 + 0.5*b168*b329 + 0.5*b168*b330 + 0.5*b168*b332 + 0.5
     *b168*b340 + 0.5*b168*b341 + 0.5*b168*b342 + 0.5*b168*b343 + 0.5*b169*b171
      + b169*b176 + 0.5*b169*b203 + 0.5*b169*b204 + 0.5*b169*b206 + 0.5*b169*
     b211 + 0.5*b169*b224 + 0.5*b169*b230 + 0.5*b169*b233 + b169*b270 + 0.5*
     b169*b285 + 0.5*b169*b288 + 0.5*b169*b295 + 0.5*b169*b297 + 0.5*b169*b303
      + 0.5*b169*b306 + 0.5*b169*b310 + 0.5*b169*b312 + 0.5*b169*b317 + 0.5*
     b169*b327 + b169*b329 + b169*x464 + 0.5*b170*b181 + 0.5*b170*b186 + 0.5*
     b170*b198 + 0.5*b170*b201 + 0.5*b170*b208 + 0.5*b170*b223 + 0.5*b170*b228
      + 0.5*b170*b244 + 0.5*b170*b247 + b170*b251 + 0.5*b170*b253 + 0.5*b170*
     b258 + 0.5*b170*b259 + b170*b268 + 0.5*b170*b281 + 0.5*b170*b282 + b170*
     b292 + 0.5*b170*b313 + 0.5*b170*b320 + 0.5*b170*b323 + 0.5*b170*b325 + 
     b170*x465 + b170*x454 + 0.5*b171*b176 + 0.5*b171*b177 + 0.5*b171*b195 + 
     0.5*b171*b203 + 0.5*b171*b204 + 0.5*b171*b211 + 0.5*b171*b224 + 0.5*b171*
     b227 + b171*b230 + 0.5*b171*b233 + 0.5*b171*b270 + 0.5*b171*b285 + 0.5*
     b171*b303 + 0.5*b171*b306 + 0.5*b171*b312 + 0.5*b171*b317 + 0.5*b171*b327
      + 0.5*b171*b329 + b171*x457 + 0.5*b172*b188 + 0.5*b172*b194 + 0.5*b172*
     b196 + 0.5*b172*b213 + 0.5*b172*b232 + 0.5*b172*b237 + 0.5*b172*b246 + 0.5
     *b172*b275 + b172*b278 + 0.5*b172*b284 + 0.5*b172*b298 + 0.5*b172*b300 + 
     b172*b301 + 0.5*b172*b305 + 0.5*b172*b308 + 0.5*b172*b309 + 0.5*b172*b311
      + 0.5*b172*b319 + b172*b324 + 0.5*b172*b326 + 0.5*b172*b332 + b172*x455
      + b173*b174 + 0.5*b173*b182 + 0.5*b173*b190 + 0.5*b173*b196 + 0.5*b173*
     b212 + 0.5*b173*b214 + 0.5*b173*b215 + 0.5*b173*b217 + 0.5*b173*b232 + 0.5
     *b173*b237 + b173*b239 + 0.5*b173*b240 + 0.5*b173*b247 + 0.5*b173*b250 + 
     0.5*b173*b252 + 0.5*b173*b254 + 0.5*b173*b263 + b173*b293 + 0.5*b173*b302
      + 0.5*b173*b304 + 0.5*b173*b308 + 0.5*b173*b315 + 0.5*b173*b318 + b173*
     x450 + b173*x463 + 0.5*b174*b182 + 0.5*b174*b190 + 0.5*b174*b196 + 0.5*
     b174*b212 + 0.5*b174*b214 + 0.5*b174*b215 + 0.5*b174*b217 + 0.5*b174*b232
      + 0.5*b174*b237 + b174*b239 + 0.5*b174*b240 + 0.5*b174*b247 + 0.5*b174*
     b250 + 0.5*b174*b252 + 0.5*b174*b254 + 0.5*b174*b263 + b174*b293 + 0.5*
     b174*b302 + 0.5*b174*b304 + 0.5*b174*b308 + 0.5*b174*b315 + 0.5*b174*b318
      + b174*x450 + b174*x463 + b175*x438 + 0.5*b176*b203 + 0.5*b176*b204 + 0.5
     *b176*b206 + 0.5*b176*b211 + 0.5*b176*b224 + 0.5*b176*b230 + 0.5*b176*b233
      + b176*b270 + 0.5*b176*b285 + 0.5*b176*b288 + 0.5*b176*b295 + 0.5*b176*
     b297 + 0.5*b176*b303 + 0.5*b176*b306 + 0.5*b176*b310 + 0.5*b176*b312 + 0.5
     *b176*b317 + 0.5*b176*b327 + b176*b329 + b176*x464 + 0.5*b177*b180 + 0.5*
     b177*b185 + 0.5*b177*b192 + b177*b195 + 0.5*b177*b206 + 0.5*b177*b207 + 
     0.5*b177*b210 + 0.5*b177*b222 + b177*b227 + 0.5*b177*b230 + 0.5*b177*b231
      + 0.5*b177*b235 + 0.5*b177*b236 + 0.5*b177*b238 + 0.5*b177*b241 + 0.5*
     b177*b242 + 0.5*b177*b243 + 0.5*b177*b257 + 0.5*b177*b261 + 0.5*b177*b262
      + 0.5*b177*b271 + 0.5*b177*b274 + 0.5*b177*b276 + 0.5*b177*b277 + 0.5*
     b177*b279 + 0.5*b177*b288 + 0.5*b177*b295 + 0.5*b177*b296 + 0.5*b177*b297
      + 0.5*b177*b307 + 0.5*b177*b310 + 0.5*b177*b331 + 0.5*b177*b334 + 0.5*
     b177*b335 + 0.5*b177*b336 + 0.5*b177*b337 + 0.5*b177*b339 + b177*x457 + 
     0.5*b178*b179 + 0.5*b178*b193 + b178*b202 + 0.5*b178*b216 + 0.5*b178*b219
      + b178*b221 + 0.5*b178*b225 + b178*b234 + 0.5*b178*b249 + 0.5*b178*b255
      + 0.5*b178*b266 + b178*b272 + 0.5*b178*b286 + 0.5*b178*b289 + 0.5*b178*
     b318 + 0.5*b178*b340 + 0.5*b178*b341 + 0.5*b178*b342 + 0.5*b178*b343 + 
     b178*x452 + b178*x451 + 0.5*b179*b185 + 0.5*b179*b197 + 0.5*b179*b199 + 
     0.5*b179*b202 + 0.5*b179*b203 + 0.5*b179*b204 + 0.5*b179*b219 + 0.5*b179*
     b221 + 0.5*b179*b234 + 0.5*b179*b246 + 0.5*b179*b248 + b179*b249 + 0.5*
     b179*b261 + 0.5*b179*b264 + b179*b266 + 0.5*b179*b267 + 0.5*b179*b269 + 
     0.5*b179*b271 + 0.5*b179*b272 + 0.5*b179*b275 + 0.5*b179*b279 + 0.5*b179*
     b280 + b179*b286 + 0.5*b179*b287 + 0.5*b179*b290 + 0.5*b179*b294 + 0.5*
     b179*b296 + 0.5*b179*b314 + 0.5*b179*b317 + 0.5*b179*b319 + 0.5*b179*b321
      + 0.5*b179*b326 + 0.5*b179*b328 + 0.5*b179*b330 + 0.5*b179*b332 + 0.5*
     b179*b340 + 0.5*b179*b341 + 0.5*b179*b342 + 0.5*b179*b343 + b179*x451 + 
     0.5*b180*b185 + 0.5*b180*b192 + 0.5*b180*b195 + 0.5*b180*b206 + b180*b207
      + 0.5*b180*b210 + 0.5*b180*b222 + 0.5*b180*b224 + 0.5*b180*b227 + 0.5*
     b180*b231 + 0.5*b180*b235 + 0.5*b180*b236 + 0.5*b180*b238 + 0.5*b180*b241
      + 0.5*b180*b242 + 0.5*b180*b243 + 0.5*b180*b257 + 0.5*b180*b261 + 0.5*
     b180*b262 + 0.5*b180*b271 + 0.5*b180*b274 + b180*b276 + 0.5*b180*b277 + 
     0.5*b180*b279 + 0.5*b180*b288 + 0.5*b180*b295 + 0.5*b180*b296 + 0.5*b180*
     b297 + 0.5*b180*b307 + 0.5*b180*b310 + 0.5*b180*b331 + 0.5*b180*b334 + 
     b180*b335 + 0.5*b180*b336 + 0.5*b180*b337 + 0.5*b180*b339 + b180*x466 + 
     0.5*b181*b182 + 0.5*b181*b184 + b181*b186 + 0.5*b181*b191 + 0.5*b181*b193
      + 0.5*b181*b194 + 0.5*b181*b198 + 0.5*b181*b201 + 0.5*b181*b216 + 0.5*
     b181*b218 + b181*b223 + 0.5*b181*b225 + 0.5*b181*b226 + 0.5*b181*b229 + 
     0.5*b181*b245 + 0.5*b181*b250 + 0.5*b181*b251 + 0.5*b181*b252 + 0.5*b181*
     b254 + 0.5*b181*b255 + 0.5*b181*b258 + 0.5*b181*b259 + 0.5*b181*b265 + 0.5
     *b181*b268 + 0.5*b181*b281 + 0.5*b181*b282 + 0.5*b181*b289 + 0.5*b181*b292
      + 0.5*b181*b298 + 0.5*b181*b299 + 0.5*b181*b302 + 0.5*b181*b305 + 0.5*
     b181*b311 + 0.5*b181*b316 + 0.5*b181*b320 + b181*b323 + 0.5*b181*b325 + 
     0.5*b181*b333 + 0.5*b181*b338 + b181*x454 + 0.5*b182*b184 + 0.5*b182*b186
      + 0.5*b182*b191 + 0.5*b182*b193 + 0.5*b182*b194 + 0.5*b182*b214 + 0.5*
     b182*b216 + 0.5*b182*b218 + 0.5*b182*b223 + 0.5*b182*b225 + 0.5*b182*b226
      + 0.5*b182*b229 + 0.5*b182*b239 + 0.5*b182*b240 + 0.5*b182*b245 + 0.5*
     b182*b247 + b182*b250 + b182*b252 + b182*b254 + 0.5*b182*b255 + 0.5*b182*
     b263 + 0.5*b182*b265 + 0.5*b182*b289 + 0.5*b182*b293 + 0.5*b182*b298 + 0.5
     *b182*b299 + b182*b302 + 0.5*b182*b304 + 0.5*b182*b305 + 0.5*b182*b311 + 
     0.5*b182*b316 + 0.5*b182*b323 + 0.5*b182*b333 + 0.5*b182*b338 + b182*x463
      + 0.5*b183*b188 + 0.5*b183*b197 + 0.5*b183*b210 + 0.5*b183*b213 + 0.5*
     b183*b219 + 0.5*b183*b222 + 0.5*b183*b238 + 0.5*b183*b257 + 0.5*b183*b267
      + 0.5*b183*b284 + 0.5*b183*b285 + 0.5*b183*b290 + 0.5*b183*b294 + 0.5*
     b183*b300 + 0.5*b183*b303 + 0.5*b183*b306 + 0.5*b183*b309 + 0.5*b183*b312
      + 0.5*b183*b327 + 0.5*b183*b334 + b183*x445 + b183*x467 + 0.5*b184*b186
      + 0.5*b184*b189 + b184*b191 + 0.5*b184*b193 + 0.5*b184*b194 + 0.5*b184*
     b200 + 0.5*b184*b205 + 0.5*b184*b208 + 0.5*b184*b209 + 0.5*b184*b216 + 0.5
     *b184*b218 + 0.5*b184*b223 + 0.5*b184*b225 + 0.5*b184*b226 + 0.5*b184*b228
      + b184*b229 + 0.5*b184*b244 + 0.5*b184*b245 + 0.5*b184*b250 + 0.5*b184*
     b252 + 0.5*b184*b253 + 0.5*b184*b254 + 0.5*b184*b255 + 0.5*b184*b256 + 0.5
     *b184*b260 + 0.5*b184*b265 + 0.5*b184*b289 + 0.5*b184*b298 + b184*b299 + 
     0.5*b184*b302 + 0.5*b184*b305 + 0.5*b184*b311 + 0.5*b184*b313 + 0.5*b184*
     b316 + 0.5*b184*b322 + 0.5*b184*b323 + 0.5*b184*b333 + 0.5*b184*b338 + 
     b184*x462 + 0.5*b185*b192 + 0.5*b185*b195 + 0.5*b185*b197 + 0.5*b185*b199
      + 0.5*b185*b203 + 0.5*b185*b204 + 0.5*b185*b206 + 0.5*b185*b207 + 0.5*
     b185*b210 + 0.5*b185*b222 + 0.5*b185*b227 + 0.5*b185*b231 + 0.5*b185*b235
      + 0.5*b185*b236 + 0.5*b185*b238 + 0.5*b185*b241 + 0.5*b185*b242 + 0.5*
     b185*b243 + 0.5*b185*b246 + 0.5*b185*b248 + 0.5*b185*b249 + 0.5*b185*b257
      + b185*b261 + 0.5*b185*b262 + 0.5*b185*b264 + 0.5*b185*b266 + 0.5*b185*
     b267 + 0.5*b185*b269 + b185*b271 + 0.5*b185*b274 + 0.5*b185*b275 + 0.5*
     b185*b276 + 0.5*b185*b277 + b185*b279 + 0.5*b185*b280 + 0.5*b185*b286 + 
     0.5*b185*b287 + 0.5*b185*b288 + 0.5*b185*b290 + 0.5*b185*b294 + 0.5*b185*
     b295 + b185*b296 + 0.5*b185*b297 + 0.5*b185*b307 + 0.5*b185*b310 + 0.5*
     b185*b314 + 0.5*b185*b317 + 0.5*b185*b319 + 0.5*b185*b321 + 0.5*b185*b326
      + 0.5*b185*b328 + 0.5*b185*b330 + 0.5*b185*b331 + 0.5*b185*b332 + 0.5*
     b185*b334 + 0.5*b185*b335 + 0.5*b185*b336 + 0.5*b185*b337 + 0.5*b185*b339
      + 0.5*b185*b340 + 0.5*b185*b341 + 0.5*b185*b342 + 0.5*b185*b343 + 0.5*
     b186*b191 + 0.5*b186*b193 + 0.5*b186*b194 + 0.5*b186*b198 + 0.5*b186*b201
      + 0.5*b186*b216 + 0.5*b186*b218 + b186*b223 + 0.5*b186*b225 + 0.5*b186*
     b226 + 0.5*b186*b229 + 0.5*b186*b245 + 0.5*b186*b250 + 0.5*b186*b251 + 0.5
     *b186*b252 + 0.5*b186*b254 + 0.5*b186*b255 + 0.5*b186*b258 + 0.5*b186*b259
      + 0.5*b186*b265 + 0.5*b186*b268 + 0.5*b186*b281 + 0.5*b186*b282 + 0.5*
     b186*b289 + 0.5*b186*b292 + 0.5*b186*b298 + 0.5*b186*b299 + 0.5*b186*b302
      + 0.5*b186*b305 + 0.5*b186*b311 + 0.5*b186*b316 + 0.5*b186*b320 + b186*
     b323 + 0.5*b186*b325 + 0.5*b186*b333 + 0.5*b186*b338 + b186*x454 + 0.5*
     b187*b190 + 0.5*b187*b205 + 0.5*b187*b212 + 0.5*b187*b215 + 0.5*b187*b217
      + 0.5*b187*b218 + 0.5*b187*b240 + 0.5*b187*b245 + 0.5*b187*b258 + 0.5*
     b187*b260 + 0.5*b187*b263 + 0.5*b187*b304 + 0.5*b187*b315 + 0.5*b187*b316
      + 0.5*b187*b320 + 0.5*b187*b338 + b187*x453 + b187*x460 + 0.5*b188*b210
      + b188*b213 + 0.5*b188*b219 + 0.5*b188*b222 + 0.5*b188*b238 + 0.5*b188*
     b246 + 0.5*b188*b257 + 0.5*b188*b275 + 0.5*b188*b278 + b188*b284 + 0.5*
     b188*b285 + b188*b300 + 0.5*b188*b301 + 0.5*b188*b303 + 0.5*b188*b306 + 
     b188*b309 + 0.5*b188*b312 + 0.5*b188*b319 + 0.5*b188*b324 + 0.5*b188*b326
      + 0.5*b188*b327 + 0.5*b188*b332 + 0.5*b188*b334 + b188*x467 + 0.5*b189*
     b191 + 0.5*b189*b198 + b189*b200 + 0.5*b189*b201 + 0.5*b189*b205 + 0.5*
     b189*b208 + b189*b209 + 0.5*b189*b220 + 0.5*b189*b228 + 0.5*b189*b229 + 
     0.5*b189*b244 + 0.5*b189*b253 + b189*b256 + 0.5*b189*b259 + 0.5*b189*b260
      + 0.5*b189*b273 + 0.5*b189*b281 + 0.5*b189*b282 + 0.5*b189*b283 + 0.5*
     b189*b291 + 0.5*b189*b299 + 0.5*b189*b313 + b189*b322 + b189*x462 + 0.5*
     b190*b196 + b190*b212 + b190*b215 + b190*b217 + 0.5*b190*b218 + 0.5*b190*
     b232 + 0.5*b190*b237 + 0.5*b190*b239 + 0.5*b190*b245 + 0.5*b190*b293 + 0.5
     *b190*b308 + b190*b315 + 0.5*b190*b316 + 0.5*b190*b318 + 0.5*b190*b338 + 
     b190*x450 + b190*x460 + 0.5*b191*b193 + 0.5*b191*b194 + 0.5*b191*b200 + 
     0.5*b191*b205 + 0.5*b191*b208 + 0.5*b191*b209 + 0.5*b191*b216 + 0.5*b191*
     b218 + 0.5*b191*b223 + 0.5*b191*b225 + 0.5*b191*b226 + 0.5*b191*b228 + 
     b191*b229 + 0.5*b191*b244 + 0.5*b191*b245 + 0.5*b191*b250 + 0.5*b191*b252
      + 0.5*b191*b253 + 0.5*b191*b254 + 0.5*b191*b255 + 0.5*b191*b256 + 0.5*
     b191*b260 + 0.5*b191*b265 + 0.5*b191*b289 + 0.5*b191*b298 + b191*b299 + 
     0.5*b191*b302 + 0.5*b191*b305 + 0.5*b191*b311 + 0.5*b191*b313 + 0.5*b191*
     b316 + 0.5*b191*b322 + 0.5*b191*b323 + 0.5*b191*b333 + 0.5*b191*b338 + 
     b191*x462 + 0.5*b192*b195 + 0.5*b192*b206 + 0.5*b192*b207 + 0.5*b192*b210
      + 0.5*b192*b222 + 0.5*b192*b227 + b192*b231 + 0.5*b192*b235 + 0.5*b192*
     b236 + 0.5*b192*b238 + 0.5*b192*b241 + b192*b242 + 0.5*b192*b243 + 0.5*
     b192*b257 + 0.5*b192*b261 + b192*b262 + 0.5*b192*b271 + 0.5*b192*b274 + 
     0.5*b192*b276 + 0.5*b192*b277 + 0.5*b192*b279 + 0.5*b192*b288 + 0.5*b192*
     b295 + 0.5*b192*b296 + 0.5*b192*b297 + b192*b307 + 0.5*b192*b310 + 0.5*
     b192*b331 + 0.5*b192*b334 + 0.5*b192*b335 + 0.5*b192*b336 + 0.5*b192*b337
      + 0.5*b192*b339 + b192*x468 + 0.5*b193*b194 + 0.5*b193*b202 + b193*b216
      + 0.5*b193*b218 + 0.5*b193*b221 + 0.5*b193*b223 + b193*b225 + 0.5*b193*
     b226 + 0.5*b193*b229 + 0.5*b193*b234 + 0.5*b193*b245 + 0.5*b193*b250 + 0.5
     *b193*b252 + 0.5*b193*b254 + b193*b255 + 0.5*b193*b265 + 0.5*b193*b272 + 
     b193*b289 + 0.5*b193*b298 + 0.5*b193*b299 + 0.5*b193*b302 + 0.5*b193*b305
      + 0.5*b193*b311 + 0.5*b193*b316 + 0.5*b193*b318 + 0.5*b193*b323 + 0.5*
     b193*b333 + 0.5*b193*b338 + 0.5*b193*b340 + 0.5*b193*b341 + 0.5*b193*b342
      + 0.5*b193*b343 + b193*x452 + 0.5*b194*b196 + 0.5*b194*b216 + 0.5*b194*
     b218 + 0.5*b194*b223 + 0.5*b194*b225 + 0.5*b194*b226 + 0.5*b194*b229 + 0.5
     *b194*b232 + 0.5*b194*b237 + 0.5*b194*b245 + 0.5*b194*b250 + 0.5*b194*b252
      + 0.5*b194*b254 + 0.5*b194*b255 + 0.5*b194*b265 + 0.5*b194*b278 + 0.5*
     b194*b289 + b194*b298 + 0.5*b194*b299 + 0.5*b194*b301 + 0.5*b194*b302 + 
     b194*b305 + 0.5*b194*b308 + b194*b311 + 0.5*b194*b316 + 0.5*b194*b323 + 
     0.5*b194*b324 + 0.5*b194*b333 + 0.5*b194*b338 + b194*x455 + 0.5*b195*b206
      + 0.5*b195*b207 + 0.5*b195*b210 + 0.5*b195*b222 + b195*b227 + 0.5*b195*
     b230 + 0.5*b195*b231 + 0.5*b195*b235 + 0.5*b195*b236 + 0.5*b195*b238 + 0.5
     *b195*b241 + 0.5*b195*b242 + 0.5*b195*b243 + 0.5*b195*b257 + 0.5*b195*b261
      + 0.5*b195*b262 + 0.5*b195*b271 + 0.5*b195*b274 + 0.5*b195*b276 + 0.5*
     b195*b277 + 0.5*b195*b279 + 0.5*b195*b288 + 0.5*b195*b295 + 0.5*b195*b296
      + 0.5*b195*b297 + 0.5*b195*b307 + 0.5*b195*b310 + 0.5*b195*b331 + 0.5*
     b195*b334 + 0.5*b195*b335 + 0.5*b195*b336 + 0.5*b195*b337 + 0.5*b195*b339
      + b195*x457 + 0.5*b196*b212 + 0.5*b196*b215 + 0.5*b196*b217 + b196*b232
      + b196*b237 + 0.5*b196*b239 + 0.5*b196*b278 + 0.5*b196*b293 + 0.5*b196*
     b298 + 0.5*b196*b301 + 0.5*b196*b305 + b196*b308 + 0.5*b196*b311 + 0.5*
     b196*b315 + 0.5*b196*b318 + 0.5*b196*b324 + b196*x455 + b196*x450 + 0.5*
     b197*b199 + 0.5*b197*b203 + 0.5*b197*b204 + 0.5*b197*b246 + 0.5*b197*b248
      + 0.5*b197*b249 + 0.5*b197*b261 + 0.5*b197*b264 + 0.5*b197*b266 + b197*
     b267 + 0.5*b197*b269 + 0.5*b197*b271 + 0.5*b197*b275 + 0.5*b197*b279 + 0.5
     *b197*b280 + 0.5*b197*b286 + 0.5*b197*b287 + b197*b290 + b197*b294 + 0.5*
     b197*b296 + 0.5*b197*b314 + 0.5*b197*b317 + 0.5*b197*b319 + 0.5*b197*b321
      + 0.5*b197*b326 + 0.5*b197*b328 + 0.5*b197*b330 + 0.5*b197*b332 + 0.5*
     b197*b340 + 0.5*b197*b341 + 0.5*b197*b342 + 0.5*b197*b343 + b197*x445 + 
     0.5*b198*b200 + b198*b201 + 0.5*b198*b209 + 0.5*b198*b220 + 0.5*b198*b223
      + 0.5*b198*b251 + 0.5*b198*b256 + 0.5*b198*b258 + b198*b259 + 0.5*b198*
     b268 + 0.5*b198*b273 + b198*b281 + b198*b282 + 0.5*b198*b283 + 0.5*b198*
     b291 + 0.5*b198*b292 + 0.5*b198*b320 + 0.5*b198*b322 + 0.5*b198*b323 + 0.5
     *b198*b325 + b198*x454 + 0.5*b199*b203 + 0.5*b199*b204 + 0.5*b199*b246 + 
     0.5*b199*b248 + 0.5*b199*b249 + 0.5*b199*b261 + 0.5*b199*b264 + 0.5*b199*
     b266 + 0.5*b199*b267 + b199*b269 + 0.5*b199*b271 + 0.5*b199*b275 + 0.5*
     b199*b279 + 0.5*b199*b280 + 0.5*b199*b286 + b199*b287 + 0.5*b199*b290 + 
     0.5*b199*b294 + 0.5*b199*b296 + b199*b314 + 0.5*b199*b317 + 0.5*b199*b319
      + b199*b321 + 0.5*b199*b326 + 0.5*b199*b328 + 0.5*b199*b330 + 0.5*b199*
     b332 + 0.5*b199*b340 + 0.5*b199*b341 + 0.5*b199*b342 + 0.5*b199*b343 + 
     b199*x469 + 0.5*b200*b201 + 0.5*b200*b205 + 0.5*b200*b208 + b200*b209 + 
     0.5*b200*b220 + 0.5*b200*b228 + 0.5*b200*b229 + 0.5*b200*b244 + 0.5*b200*
     b253 + b200*b256 + 0.5*b200*b259 + 0.5*b200*b260 + 0.5*b200*b273 + 0.5*
     b200*b281 + 0.5*b200*b282 + 0.5*b200*b283 + 0.5*b200*b291 + 0.5*b200*b299
      + 0.5*b200*b313 + b200*b322 + b200*x462 + 0.5*b201*b209 + 0.5*b201*b220
      + 0.5*b201*b223 + 0.5*b201*b251 + 0.5*b201*b256 + 0.5*b201*b258 + b201*
     b259 + 0.5*b201*b268 + 0.5*b201*b273 + b201*b281 + b201*b282 + 0.5*b201*
     b283 + 0.5*b201*b291 + 0.5*b201*b292 + 0.5*b201*b320 + 0.5*b201*b322 + 0.5
     *b201*b323 + 0.5*b201*b325 + b201*x454 + 0.5*b202*b216 + 0.5*b202*b219 + 
     b202*b221 + 0.5*b202*b225 + b202*b234 + 0.5*b202*b249 + 0.5*b202*b255 + 
     0.5*b202*b266 + b202*b272 + 0.5*b202*b286 + 0.5*b202*b289 + 0.5*b202*b318
      + 0.5*b202*b340 + 0.5*b202*b341 + 0.5*b202*b342 + 0.5*b202*b343 + b202*
     x452 + b202*x451 + b203*b204 + 0.5*b203*b211 + 0.5*b203*b224 + 0.5*b203*
     b230 + 0.5*b203*b233 + 0.5*b203*b246 + 0.5*b203*b248 + 0.5*b203*b249 + 0.5
     *b203*b261 + 0.5*b203*b264 + 0.5*b203*b266 + 0.5*b203*b267 + 0.5*b203*b269
      + 0.5*b203*b270 + 0.5*b203*b271 + 0.5*b203*b275 + 0.5*b203*b279 + 0.5*
     b203*b280 + 0.5*b203*b285 + 0.5*b203*b286 + 0.5*b203*b287 + 0.5*b203*b290
      + 0.5*b203*b294 + 0.5*b203*b296 + 0.5*b203*b303 + 0.5*b203*b306 + 0.5*
     b203*b312 + 0.5*b203*b314 + b203*b317 + 0.5*b203*b319 + 0.5*b203*b321 + 
     0.5*b203*b326 + 0.5*b203*b327 + 0.5*b203*b328 + 0.5*b203*b329 + 0.5*b203*
     b330 + 0.5*b203*b332 + 0.5*b203*b340 + 0.5*b203*b341 + 0.5*b203*b342 + 0.5
     *b203*b343 + 0.5*b204*b211 + 0.5*b204*b224 + 0.5*b204*b230 + 0.5*b204*b233
      + 0.5*b204*b246 + 0.5*b204*b248 + 0.5*b204*b249 + 0.5*b204*b261 + 0.5*
     b204*b264 + 0.5*b204*b266 + 0.5*b204*b267 + 0.5*b204*b269 + 0.5*b204*b270
      + 0.5*b204*b271 + 0.5*b204*b275 + 0.5*b204*b279 + 0.5*b204*b280 + 0.5*
     b204*b285 + 0.5*b204*b286 + 0.5*b204*b287 + 0.5*b204*b290 + 0.5*b204*b294
      + 0.5*b204*b296 + 0.5*b204*b303 + 0.5*b204*b306 + 0.5*b204*b312 + 0.5*
     b204*b314 + b204*b317 + 0.5*b204*b319 + 0.5*b204*b321 + 0.5*b204*b326 + 
     0.5*b204*b327 + 0.5*b204*b328 + 0.5*b204*b329 + 0.5*b204*b330 + 0.5*b204*
     b332 + 0.5*b204*b340 + 0.5*b204*b341 + 0.5*b204*b342 + 0.5*b204*b343 + 0.5
     *b205*b208 + 0.5*b205*b209 + 0.5*b205*b228 + 0.5*b205*b229 + 0.5*b205*b240
      + 0.5*b205*b244 + 0.5*b205*b253 + 0.5*b205*b256 + 0.5*b205*b258 + b205*
     b260 + 0.5*b205*b263 + 0.5*b205*b299 + 0.5*b205*b304 + 0.5*b205*b313 + 0.5
     *b205*b320 + 0.5*b205*b322 + b205*x462 + b205*x453 + 0.5*b206*b207 + 0.5*
     b206*b210 + 0.5*b206*b222 + 0.5*b206*b227 + 0.5*b206*b231 + 0.5*b206*b235
      + 0.5*b206*b236 + 0.5*b206*b238 + 0.5*b206*b241 + 0.5*b206*b242 + 0.5*
     b206*b243 + 0.5*b206*b257 + 0.5*b206*b261 + 0.5*b206*b262 + 0.5*b206*b270
      + 0.5*b206*b271 + 0.5*b206*b274 + 0.5*b206*b276 + 0.5*b206*b277 + 0.5*
     b206*b279 + b206*b288 + b206*b295 + 0.5*b206*b296 + b206*b297 + 0.5*b206*
     b307 + b206*b310 + 0.5*b206*b329 + 0.5*b206*b331 + 0.5*b206*b334 + 0.5*
     b206*b335 + 0.5*b206*b336 + 0.5*b206*b337 + 0.5*b206*b339 + b206*x464 + 
     0.5*b207*b210 + 0.5*b207*b222 + 0.5*b207*b224 + 0.5*b207*b227 + 0.5*b207*
     b231 + 0.5*b207*b235 + 0.5*b207*b236 + 0.5*b207*b238 + 0.5*b207*b241 + 0.5
     *b207*b242 + 0.5*b207*b243 + 0.5*b207*b257 + 0.5*b207*b261 + 0.5*b207*b262
      + 0.5*b207*b271 + 0.5*b207*b274 + b207*b276 + 0.5*b207*b277 + 0.5*b207*
     b279 + 0.5*b207*b288 + 0.5*b207*b295 + 0.5*b207*b296 + 0.5*b207*b297 + 0.5
     *b207*b307 + 0.5*b207*b310 + 0.5*b207*b331 + 0.5*b207*b334 + b207*b335 + 
     0.5*b207*b336 + 0.5*b207*b337 + 0.5*b207*b339 + b207*x466 + 0.5*b208*b209
      + b208*b228 + 0.5*b208*b229 + b208*b244 + 0.5*b208*b247 + 0.5*b208*b251
      + b208*b253 + 0.5*b208*b256 + 0.5*b208*b260 + 0.5*b208*b268 + 0.5*b208*
     b292 + 0.5*b208*b299 + b208*b313 + 0.5*b208*b322 + b208*x462 + b208*x465
      + 0.5*b209*b220 + 0.5*b209*b228 + 0.5*b209*b229 + 0.5*b209*b244 + 0.5*
     b209*b253 + b209*b256 + 0.5*b209*b259 + 0.5*b209*b260 + 0.5*b209*b273 + 
     0.5*b209*b281 + 0.5*b209*b282 + 0.5*b209*b283 + 0.5*b209*b291 + 0.5*b209*
     b299 + 0.5*b209*b313 + b209*b322 + b209*x462 + 0.5*b210*b213 + 0.5*b210*
     b219 + b210*b222 + 0.5*b210*b227 + 0.5*b210*b231 + 0.5*b210*b235 + 0.5*
     b210*b236 + b210*b238 + 0.5*b210*b241 + 0.5*b210*b242 + 0.5*b210*b243 + 
     b210*b257 + 0.5*b210*b261 + 0.5*b210*b262 + 0.5*b210*b271 + 0.5*b210*b274
      + 0.5*b210*b276 + 0.5*b210*b277 + 0.5*b210*b279 + 0.5*b210*b284 + 0.5*
     b210*b285 + 0.5*b210*b288 + 0.5*b210*b295 + 0.5*b210*b296 + 0.5*b210*b297
      + 0.5*b210*b300 + 0.5*b210*b303 + 0.5*b210*b306 + 0.5*b210*b307 + 0.5*
     b210*b309 + 0.5*b210*b310 + 0.5*b210*b312 + 0.5*b210*b327 + 0.5*b210*b331
      + b210*b334 + 0.5*b210*b335 + 0.5*b210*b336 + 0.5*b210*b337 + 0.5*b210*
     b339 + b210*x467 + 0.5*b211*b224 + 0.5*b211*b230 + b211*b233 + 0.5*b211*
     b270 + 0.5*b211*b285 + 0.5*b211*b303 + 0.5*b211*b306 + 0.5*b211*b312 + 0.5
     *b211*b317 + 0.5*b211*b327 + 0.5*b211*b329 + b211*x459 + b212*b215 + b212*
     b217 + 0.5*b212*b218 + 0.5*b212*b232 + 0.5*b212*b237 + 0.5*b212*b239 + 0.5
     *b212*b245 + 0.5*b212*b293 + 0.5*b212*b308 + b212*b315 + 0.5*b212*b316 + 
     0.5*b212*b318 + 0.5*b212*b338 + b212*x450 + b212*x460 + 0.5*b213*b219 + 
     0.5*b213*b222 + 0.5*b213*b238 + 0.5*b213*b246 + 0.5*b213*b257 + 0.5*b213*
     b275 + 0.5*b213*b278 + b213*b284 + 0.5*b213*b285 + b213*b300 + 0.5*b213*
     b301 + 0.5*b213*b303 + 0.5*b213*b306 + b213*b309 + 0.5*b213*b312 + 0.5*
     b213*b319 + 0.5*b213*b324 + 0.5*b213*b326 + 0.5*b213*b327 + 0.5*b213*b332
      + 0.5*b213*b334 + b213*x467 + 0.5*b214*b239 + 0.5*b214*b240 + 0.5*b214*
     b247 + 0.5*b214*b250 + 0.5*b214*b252 + 0.5*b214*b254 + 0.5*b214*b263 + 0.5
     *b214*b293 + 0.5*b214*b302 + 0.5*b214*b304 + b214*x470 + b214*x463 + b215*
     b217 + 0.5*b215*b218 + 0.5*b215*b232 + 0.5*b215*b237 + 0.5*b215*b239 + 0.5
     *b215*b245 + 0.5*b215*b293 + 0.5*b215*b308 + b215*b315 + 0.5*b215*b316 + 
     0.5*b215*b318 + 0.5*b215*b338 + b215*x450 + b215*x460 + 0.5*b216*b218 + 
     0.5*b216*b221 + 0.5*b216*b223 + b216*b225 + 0.5*b216*b226 + 0.5*b216*b229
      + 0.5*b216*b234 + 0.5*b216*b245 + 0.5*b216*b250 + 0.5*b216*b252 + 0.5*
     b216*b254 + b216*b255 + 0.5*b216*b265 + 0.5*b216*b272 + b216*b289 + 0.5*
     b216*b298 + 0.5*b216*b299 + 0.5*b216*b302 + 0.5*b216*b305 + 0.5*b216*b311
      + 0.5*b216*b316 + 0.5*b216*b318 + 0.5*b216*b323 + 0.5*b216*b333 + 0.5*
     b216*b338 + 0.5*b216*b340 + 0.5*b216*b341 + 0.5*b216*b342 + 0.5*b216*b343
      + b216*x452 + 0.5*b217*b218 + 0.5*b217*b232 + 0.5*b217*b237 + 0.5*b217*
     b239 + 0.5*b217*b245 + 0.5*b217*b293 + 0.5*b217*b308 + b217*b315 + 0.5*
     b217*b316 + 0.5*b217*b318 + 0.5*b217*b338 + b217*x450 + b217*x460 + 0.5*
     b218*b223 + 0.5*b218*b225 + 0.5*b218*b226 + 0.5*b218*b229 + b218*b245 + 
     0.5*b218*b250 + 0.5*b218*b252 + 0.5*b218*b254 + 0.5*b218*b255 + 0.5*b218*
     b265 + 0.5*b218*b289 + 0.5*b218*b298 + 0.5*b218*b299 + 0.5*b218*b302 + 0.5
     *b218*b305 + 0.5*b218*b311 + 0.5*b218*b315 + b218*b316 + 0.5*b218*b323 + 
     0.5*b218*b333 + b218*b338 + b218*x460 + 0.5*b219*b221 + 0.5*b219*b222 + 
     0.5*b219*b234 + 0.5*b219*b238 + 0.5*b219*b249 + 0.5*b219*b257 + 0.5*b219*
     b266 + 0.5*b219*b272 + 0.5*b219*b284 + 0.5*b219*b285 + 0.5*b219*b286 + 0.5
     *b219*b300 + 0.5*b219*b303 + 0.5*b219*b306 + 0.5*b219*b309 + 0.5*b219*b312
      + 0.5*b219*b327 + 0.5*b219*b334 + b219*x467 + b219*x451 + 0.5*b220*b256
      + 0.5*b220*b259 + b220*b273 + 0.5*b220*b281 + 0.5*b220*b282 + 0.5*b220*
     b283 + b220*b291 + 0.5*b220*b322 + b220*x456 + 0.5*b221*b225 + b221*b234
      + 0.5*b221*b249 + 0.5*b221*b255 + 0.5*b221*b266 + b221*b272 + 0.5*b221*
     b286 + 0.5*b221*b289 + 0.5*b221*b318 + 0.5*b221*b340 + 0.5*b221*b341 + 0.5
     *b221*b342 + 0.5*b221*b343 + b221*x452 + b221*x451 + 0.5*b222*b227 + 0.5*
     b222*b231 + 0.5*b222*b235 + 0.5*b222*b236 + b222*b238 + 0.5*b222*b241 + 
     0.5*b222*b242 + 0.5*b222*b243 + b222*b257 + 0.5*b222*b261 + 0.5*b222*b262
      + 0.5*b222*b271 + 0.5*b222*b274 + 0.5*b222*b276 + 0.5*b222*b277 + 0.5*
     b222*b279 + 0.5*b222*b284 + 0.5*b222*b285 + 0.5*b222*b288 + 0.5*b222*b295
      + 0.5*b222*b296 + 0.5*b222*b297 + 0.5*b222*b300 + 0.5*b222*b303 + 0.5*
     b222*b306 + 0.5*b222*b307 + 0.5*b222*b309 + 0.5*b222*b310 + 0.5*b222*b312
      + 0.5*b222*b327 + 0.5*b222*b331 + b222*b334 + 0.5*b222*b335 + 0.5*b222*
     b336 + 0.5*b222*b337 + 0.5*b222*b339 + b222*x467 + 0.5*b223*b225 + 0.5*
     b223*b226 + 0.5*b223*b229 + 0.5*b223*b245 + 0.5*b223*b250 + 0.5*b223*b251
      + 0.5*b223*b252 + 0.5*b223*b254 + 0.5*b223*b255 + 0.5*b223*b258 + 0.5*
     b223*b259 + 0.5*b223*b265 + 0.5*b223*b268 + 0.5*b223*b281 + 0.5*b223*b282
      + 0.5*b223*b289 + 0.5*b223*b292 + 0.5*b223*b298 + 0.5*b223*b299 + 0.5*
     b223*b302 + 0.5*b223*b305 + 0.5*b223*b311 + 0.5*b223*b316 + 0.5*b223*b320
      + b223*b323 + 0.5*b223*b325 + 0.5*b223*b333 + 0.5*b223*b338 + b223*x454
      + 0.5*b224*b230 + 0.5*b224*b233 + 0.5*b224*b270 + 0.5*b224*b276 + 0.5*
     b224*b285 + 0.5*b224*b303 + 0.5*b224*b306 + 0.5*b224*b312 + 0.5*b224*b317
      + 0.5*b224*b327 + 0.5*b224*b329 + 0.5*b224*b335 + b224*x466 + 0.5*b225*
     b226 + 0.5*b225*b229 + 0.5*b225*b234 + 0.5*b225*b245 + 0.5*b225*b250 + 0.5
     *b225*b252 + 0.5*b225*b254 + b225*b255 + 0.5*b225*b265 + 0.5*b225*b272 + 
     b225*b289 + 0.5*b225*b298 + 0.5*b225*b299 + 0.5*b225*b302 + 0.5*b225*b305
      + 0.5*b225*b311 + 0.5*b225*b316 + 0.5*b225*b318 + 0.5*b225*b323 + 0.5*
     b225*b333 + 0.5*b225*b338 + 0.5*b225*b340 + 0.5*b225*b341 + 0.5*b225*b342
      + 0.5*b225*b343 + b225*x452 + 0.5*b226*b229 + 0.5*b226*b245 + 0.5*b226*
     b250 + 0.5*b226*b252 + 0.5*b226*b254 + 0.5*b226*b255 + b226*b265 + 0.5*
     b226*b289 + 0.5*b226*b298 + 0.5*b226*b299 + 0.5*b226*b302 + 0.5*b226*b305
      + 0.5*b226*b311 + 0.5*b226*b316 + 0.5*b226*b323 + b226*b333 + 0.5*b226*
     b338 + b226*x461 + 0.5*b227*b230 + 0.5*b227*b231 + 0.5*b227*b235 + 0.5*
     b227*b236 + 0.5*b227*b238 + 0.5*b227*b241 + 0.5*b227*b242 + 0.5*b227*b243
      + 0.5*b227*b257 + 0.5*b227*b261 + 0.5*b227*b262 + 0.5*b227*b271 + 0.5*
     b227*b274 + 0.5*b227*b276 + 0.5*b227*b277 + 0.5*b227*b279 + 0.5*b227*b288
      + 0.5*b227*b295 + 0.5*b227*b296 + 0.5*b227*b297 + 0.5*b227*b307 + 0.5*
     b227*b310 + 0.5*b227*b331 + 0.5*b227*b334 + 0.5*b227*b335 + 0.5*b227*b336
      + 0.5*b227*b337 + 0.5*b227*b339 + b227*x457 + 0.5*b228*b229 + b228*b244
      + 0.5*b228*b247 + 0.5*b228*b251 + b228*b253 + 0.5*b228*b256 + 0.5*b228*
     b260 + 0.5*b228*b268 + 0.5*b228*b292 + 0.5*b228*b299 + b228*b313 + 0.5*
     b228*b322 + b228*x462 + b228*x465 + 0.5*b229*b244 + 0.5*b229*b245 + 0.5*
     b229*b250 + 0.5*b229*b252 + 0.5*b229*b253 + 0.5*b229*b254 + 0.5*b229*b255
      + 0.5*b229*b256 + 0.5*b229*b260 + 0.5*b229*b265 + 0.5*b229*b289 + 0.5*
     b229*b298 + b229*b299 + 0.5*b229*b302 + 0.5*b229*b305 + 0.5*b229*b311 + 
     0.5*b229*b313 + 0.5*b229*b316 + 0.5*b229*b322 + 0.5*b229*b323 + 0.5*b229*
     b333 + 0.5*b229*b338 + b229*x462 + 0.5*b230*b233 + 0.5*b230*b270 + 0.5*
     b230*b285 + 0.5*b230*b303 + 0.5*b230*b306 + 0.5*b230*b312 + 0.5*b230*b317
      + 0.5*b230*b327 + 0.5*b230*b329 + b230*x457 + 0.5*b231*b235 + 0.5*b231*
     b236 + 0.5*b231*b238 + 0.5*b231*b241 + b231*b242 + 0.5*b231*b243 + 0.5*
     b231*b257 + 0.5*b231*b261 + b231*b262 + 0.5*b231*b271 + 0.5*b231*b274 + 
     0.5*b231*b276 + 0.5*b231*b277 + 0.5*b231*b279 + 0.5*b231*b288 + 0.5*b231*
     b295 + 0.5*b231*b296 + 0.5*b231*b297 + b231*b307 + 0.5*b231*b310 + 0.5*
     b231*b331 + 0.5*b231*b334 + 0.5*b231*b335 + 0.5*b231*b336 + 0.5*b231*b337
      + 0.5*b231*b339 + b231*x468 + b232*b237 + 0.5*b232*b239 + 0.5*b232*b278
      + 0.5*b232*b293 + 0.5*b232*b298 + 0.5*b232*b301 + 0.5*b232*b305 + b232*
     b308 + 0.5*b232*b311 + 0.5*b232*b315 + 0.5*b232*b318 + 0.5*b232*b324 + 
     b232*x455 + b232*x450 + 0.5*b233*b270 + 0.5*b233*b285 + 0.5*b233*b303 + 
     0.5*b233*b306 + 0.5*b233*b312 + 0.5*b233*b317 + 0.5*b233*b327 + 0.5*b233*
     b329 + b233*x459 + 0.5*b234*b249 + 0.5*b234*b255 + 0.5*b234*b266 + b234*
     b272 + 0.5*b234*b286 + 0.5*b234*b289 + 0.5*b234*b318 + 0.5*b234*b340 + 0.5
     *b234*b341 + 0.5*b234*b342 + 0.5*b234*b343 + b234*x452 + b234*x451 + b235*
     b236 + 0.5*b235*b238 + b235*b241 + 0.5*b235*b242 + 0.5*b235*b243 + 0.5*
     b235*b257 + 0.5*b235*b261 + 0.5*b235*b262 + 0.5*b235*b271 + 0.5*b235*b274
      + 0.5*b235*b276 + b235*b277 + 0.5*b235*b279 + 0.5*b235*b288 + 0.5*b235*
     b295 + 0.5*b235*b296 + 0.5*b235*b297 + 0.5*b235*b307 + 0.5*b235*b310 + 0.5
     *b235*b331 + 0.5*b235*b334 + 0.5*b235*b335 + b235*b336 + 0.5*b235*b337 + 
     0.5*b235*b339 + b235*x471 + 0.5*b236*b238 + b236*b241 + 0.5*b236*b242 + 
     0.5*b236*b243 + 0.5*b236*b257 + 0.5*b236*b261 + 0.5*b236*b262 + 0.5*b236*
     b271 + 0.5*b236*b274 + 0.5*b236*b276 + b236*b277 + 0.5*b236*b279 + 0.5*
     b236*b288 + 0.5*b236*b295 + 0.5*b236*b296 + 0.5*b236*b297 + 0.5*b236*b307
      + 0.5*b236*b310 + 0.5*b236*b331 + 0.5*b236*b334 + 0.5*b236*b335 + b236*
     b336 + 0.5*b236*b337 + 0.5*b236*b339 + b236*x471 + 0.5*b237*b239 + 0.5*
     b237*b278 + 0.5*b237*b293 + 0.5*b237*b298 + 0.5*b237*b301 + 0.5*b237*b305
      + b237*b308 + 0.5*b237*b311 + 0.5*b237*b315 + 0.5*b237*b318 + 0.5*b237*
     b324 + b237*x455 + b237*x450 + 0.5*b238*b241 + 0.5*b238*b242 + 0.5*b238*
     b243 + b238*b257 + 0.5*b238*b261 + 0.5*b238*b262 + 0.5*b238*b271 + 0.5*
     b238*b274 + 0.5*b238*b276 + 0.5*b238*b277 + 0.5*b238*b279 + 0.5*b238*b284
      + 0.5*b238*b285 + 0.5*b238*b288 + 0.5*b238*b295 + 0.5*b238*b296 + 0.5*
     b238*b297 + 0.5*b238*b300 + 0.5*b238*b303 + 0.5*b238*b306 + 0.5*b238*b307
      + 0.5*b238*b309 + 0.5*b238*b310 + 0.5*b238*b312 + 0.5*b238*b327 + 0.5*
     b238*b331 + b238*b334 + 0.5*b238*b335 + 0.5*b238*b336 + 0.5*b238*b337 + 
     0.5*b238*b339 + b238*x467 + 0.5*b239*b240 + 0.5*b239*b247 + 0.5*b239*b250
      + 0.5*b239*b252 + 0.5*b239*b254 + 0.5*b239*b263 + b239*b293 + 0.5*b239*
     b302 + 0.5*b239*b304 + 0.5*b239*b308 + 0.5*b239*b315 + 0.5*b239*b318 + 
     b239*x450 + b239*x463 + 0.5*b240*b247 + 0.5*b240*b250 + 0.5*b240*b252 + 
     0.5*b240*b254 + 0.5*b240*b258 + 0.5*b240*b260 + b240*b263 + 0.5*b240*b293
      + 0.5*b240*b302 + b240*b304 + 0.5*b240*b320 + b240*x453 + b240*x463 + 0.5
     *b241*b242 + 0.5*b241*b243 + 0.5*b241*b257 + 0.5*b241*b261 + 0.5*b241*b262
      + 0.5*b241*b271 + 0.5*b241*b274 + 0.5*b241*b276 + b241*b277 + 0.5*b241*
     b279 + 0.5*b241*b288 + 0.5*b241*b295 + 0.5*b241*b296 + 0.5*b241*b297 + 0.5
     *b241*b307 + 0.5*b241*b310 + 0.5*b241*b331 + 0.5*b241*b334 + 0.5*b241*b335
      + b241*b336 + 0.5*b241*b337 + 0.5*b241*b339 + b241*x471 + 0.5*b242*b243
      + 0.5*b242*b257 + 0.5*b242*b261 + b242*b262 + 0.5*b242*b271 + 0.5*b242*
     b274 + 0.5*b242*b276 + 0.5*b242*b277 + 0.5*b242*b279 + 0.5*b242*b288 + 0.5
     *b242*b295 + 0.5*b242*b296 + 0.5*b242*b297 + b242*b307 + 0.5*b242*b310 + 
     0.5*b242*b331 + 0.5*b242*b334 + 0.5*b242*b335 + 0.5*b242*b336 + 0.5*b242*
     b337 + 0.5*b242*b339 + b242*x468 + 0.5*b243*b257 + 0.5*b243*b261 + 0.5*
     b243*b262 + 0.5*b243*b271 + b243*b274 + 0.5*b243*b276 + 0.5*b243*b277 + 
     0.5*b243*b279 + 0.5*b243*b288 + 0.5*b243*b295 + 0.5*b243*b296 + 0.5*b243*
     b297 + 0.5*b243*b307 + 0.5*b243*b310 + b243*b331 + 0.5*b243*b334 + 0.5*
     b243*b335 + 0.5*b243*b336 + b243*b337 + b243*b339 + b243*x472 + 0.5*b244*
     b247 + 0.5*b244*b251 + b244*b253 + 0.5*b244*b256 + 0.5*b244*b260 + 0.5*
     b244*b268 + 0.5*b244*b292 + 0.5*b244*b299 + b244*b313 + 0.5*b244*b322 + 
     b244*x462 + b244*x465 + 0.5*b245*b250 + 0.5*b245*b252 + 0.5*b245*b254 + 
     0.5*b245*b255 + 0.5*b245*b265 + 0.5*b245*b289 + 0.5*b245*b298 + 0.5*b245*
     b299 + 0.5*b245*b302 + 0.5*b245*b305 + 0.5*b245*b311 + 0.5*b245*b315 + 
     b245*b316 + 0.5*b245*b323 + 0.5*b245*b333 + b245*b338 + b245*x460 + 0.5*
     b246*b248 + 0.5*b246*b249 + 0.5*b246*b261 + 0.5*b246*b264 + 0.5*b246*b266
      + 0.5*b246*b267 + 0.5*b246*b269 + 0.5*b246*b271 + b246*b275 + 0.5*b246*
     b278 + 0.5*b246*b279 + 0.5*b246*b280 + 0.5*b246*b284 + 0.5*b246*b286 + 0.5
     *b246*b287 + 0.5*b246*b290 + 0.5*b246*b294 + 0.5*b246*b296 + 0.5*b246*b300
      + 0.5*b246*b301 + 0.5*b246*b309 + 0.5*b246*b314 + 0.5*b246*b317 + b246*
     b319 + 0.5*b246*b321 + 0.5*b246*b324 + b246*b326 + 0.5*b246*b328 + 0.5*
     b246*b330 + b246*b332 + 0.5*b246*b340 + 0.5*b246*b341 + 0.5*b246*b342 + 
     0.5*b246*b343 + 0.5*b247*b250 + 0.5*b247*b251 + 0.5*b247*b252 + 0.5*b247*
     b253 + 0.5*b247*b254 + 0.5*b247*b263 + 0.5*b247*b268 + 0.5*b247*b292 + 0.5
     *b247*b293 + 0.5*b247*b302 + 0.5*b247*b304 + 0.5*b247*b313 + b247*x465 + 
     b247*x463 + 0.5*b248*b249 + 0.5*b248*b261 + b248*b264 + 0.5*b248*b266 + 
     0.5*b248*b267 + 0.5*b248*b269 + 0.5*b248*b271 + 0.5*b248*b275 + 0.5*b248*
     b279 + b248*b280 + 0.5*b248*b286 + 0.5*b248*b287 + 0.5*b248*b290 + 0.5*
     b248*b294 + 0.5*b248*b296 + 0.5*b248*b314 + 0.5*b248*b317 + 0.5*b248*b319
      + 0.5*b248*b321 + 0.5*b248*b326 + b248*b328 + b248*b330 + 0.5*b248*b332
      + 0.5*b248*b340 + 0.5*b248*b341 + 0.5*b248*b342 + 0.5*b248*b343 + b248*
     x473 + 0.5*b249*b261 + 0.5*b249*b264 + b249*b266 + 0.5*b249*b267 + 0.5*
     b249*b269 + 0.5*b249*b271 + 0.5*b249*b272 + 0.5*b249*b275 + 0.5*b249*b279
      + 0.5*b249*b280 + b249*b286 + 0.5*b249*b287 + 0.5*b249*b290 + 0.5*b249*
     b294 + 0.5*b249*b296 + 0.5*b249*b314 + 0.5*b249*b317 + 0.5*b249*b319 + 0.5
     *b249*b321 + 0.5*b249*b326 + 0.5*b249*b328 + 0.5*b249*b330 + 0.5*b249*b332
      + 0.5*b249*b340 + 0.5*b249*b341 + 0.5*b249*b342 + 0.5*b249*b343 + b249*
     x451 + b250*b252 + b250*b254 + 0.5*b250*b255 + 0.5*b250*b263 + 0.5*b250*
     b265 + 0.5*b250*b289 + 0.5*b250*b293 + 0.5*b250*b298 + 0.5*b250*b299 + 
     b250*b302 + 0.5*b250*b304 + 0.5*b250*b305 + 0.5*b250*b311 + 0.5*b250*b316
      + 0.5*b250*b323 + 0.5*b250*b333 + 0.5*b250*b338 + b250*x463 + 0.5*b251*
     b253 + 0.5*b251*b258 + 0.5*b251*b259 + b251*b268 + 0.5*b251*b281 + 0.5*
     b251*b282 + b251*b292 + 0.5*b251*b313 + 0.5*b251*b320 + 0.5*b251*b323 + 
     0.5*b251*b325 + b251*x465 + b251*x454 + b252*b254 + 0.5*b252*b255 + 0.5*
     b252*b263 + 0.5*b252*b265 + 0.5*b252*b289 + 0.5*b252*b293 + 0.5*b252*b298
      + 0.5*b252*b299 + b252*b302 + 0.5*b252*b304 + 0.5*b252*b305 + 0.5*b252*
     b311 + 0.5*b252*b316 + 0.5*b252*b323 + 0.5*b252*b333 + 0.5*b252*b338 + 
     b252*x463 + 0.5*b253*b256 + 0.5*b253*b260 + 0.5*b253*b268 + 0.5*b253*b292
      + 0.5*b253*b299 + b253*b313 + 0.5*b253*b322 + b253*x462 + b253*x465 + 0.5
     *b254*b255 + 0.5*b254*b263 + 0.5*b254*b265 + 0.5*b254*b289 + 0.5*b254*b293
      + 0.5*b254*b298 + 0.5*b254*b299 + b254*b302 + 0.5*b254*b304 + 0.5*b254*
     b305 + 0.5*b254*b311 + 0.5*b254*b316 + 0.5*b254*b323 + 0.5*b254*b333 + 0.5
     *b254*b338 + b254*x463 + 0.5*b255*b265 + 0.5*b255*b272 + b255*b289 + 0.5*
     b255*b298 + 0.5*b255*b299 + 0.5*b255*b302 + 0.5*b255*b305 + 0.5*b255*b311
      + 0.5*b255*b316 + 0.5*b255*b318 + 0.5*b255*b323 + 0.5*b255*b333 + 0.5*
     b255*b338 + 0.5*b255*b340 + 0.5*b255*b341 + 0.5*b255*b342 + 0.5*b255*b343
      + b255*x452 + 0.5*b256*b259 + 0.5*b256*b260 + 0.5*b256*b273 + 0.5*b256*
     b281 + 0.5*b256*b282 + 0.5*b256*b283 + 0.5*b256*b291 + 0.5*b256*b299 + 0.5
     *b256*b313 + b256*b322 + b256*x462 + 0.5*b257*b261 + 0.5*b257*b262 + 0.5*
     b257*b271 + 0.5*b257*b274 + 0.5*b257*b276 + 0.5*b257*b277 + 0.5*b257*b279
      + 0.5*b257*b284 + 0.5*b257*b285 + 0.5*b257*b288 + 0.5*b257*b295 + 0.5*
     b257*b296 + 0.5*b257*b297 + 0.5*b257*b300 + 0.5*b257*b303 + 0.5*b257*b306
      + 0.5*b257*b307 + 0.5*b257*b309 + 0.5*b257*b310 + 0.5*b257*b312 + 0.5*
     b257*b327 + 0.5*b257*b331 + b257*b334 + 0.5*b257*b335 + 0.5*b257*b336 + 
     0.5*b257*b337 + 0.5*b257*b339 + b257*x467 + 0.5*b258*b259 + 0.5*b258*b260
      + 0.5*b258*b263 + 0.5*b258*b268 + 0.5*b258*b281 + 0.5*b258*b282 + 0.5*
     b258*b292 + 0.5*b258*b304 + b258*b320 + 0.5*b258*b323 + 0.5*b258*b325 + 
     b258*x453 + b258*x454 + 0.5*b259*b268 + 0.5*b259*b273 + b259*b281 + b259*
     b282 + 0.5*b259*b283 + 0.5*b259*b291 + 0.5*b259*b292 + 0.5*b259*b320 + 0.5
     *b259*b322 + 0.5*b259*b323 + 0.5*b259*b325 + b259*x454 + 0.5*b260*b263 + 
     0.5*b260*b299 + 0.5*b260*b304 + 0.5*b260*b313 + 0.5*b260*b320 + 0.5*b260*
     b322 + b260*x462 + b260*x453 + 0.5*b261*b262 + 0.5*b261*b264 + 0.5*b261*
     b266 + 0.5*b261*b267 + 0.5*b261*b269 + b261*b271 + 0.5*b261*b274 + 0.5*
     b261*b275 + 0.5*b261*b276 + 0.5*b261*b277 + b261*b279 + 0.5*b261*b280 + 
     0.5*b261*b286 + 0.5*b261*b287 + 0.5*b261*b288 + 0.5*b261*b290 + 0.5*b261*
     b294 + 0.5*b261*b295 + b261*b296 + 0.5*b261*b297 + 0.5*b261*b307 + 0.5*
     b261*b310 + 0.5*b261*b314 + 0.5*b261*b317 + 0.5*b261*b319 + 0.5*b261*b321
      + 0.5*b261*b326 + 0.5*b261*b328 + 0.5*b261*b330 + 0.5*b261*b331 + 0.5*
     b261*b332 + 0.5*b261*b334 + 0.5*b261*b335 + 0.5*b261*b336 + 0.5*b261*b337
      + 0.5*b261*b339 + 0.5*b261*b340 + 0.5*b261*b341 + 0.5*b261*b342 + 0.5*
     b261*b343 + 0.5*b262*b271 + 0.5*b262*b274 + 0.5*b262*b276 + 0.5*b262*b277
      + 0.5*b262*b279 + 0.5*b262*b288 + 0.5*b262*b295 + 0.5*b262*b296 + 0.5*
     b262*b297 + b262*b307 + 0.5*b262*b310 + 0.5*b262*b331 + 0.5*b262*b334 + 
     0.5*b262*b335 + 0.5*b262*b336 + 0.5*b262*b337 + 0.5*b262*b339 + b262*x468
      + 0.5*b263*b293 + 0.5*b263*b302 + b263*b304 + 0.5*b263*b320 + b263*x453
      + b263*x463 + 0.5*b264*b266 + 0.5*b264*b267 + 0.5*b264*b269 + 0.5*b264*
     b271 + 0.5*b264*b275 + 0.5*b264*b279 + b264*b280 + 0.5*b264*b286 + 0.5*
     b264*b287 + 0.5*b264*b290 + 0.5*b264*b294 + 0.5*b264*b296 + 0.5*b264*b314
      + 0.5*b264*b317 + 0.5*b264*b319 + 0.5*b264*b321 + 0.5*b264*b326 + b264*
     b328 + b264*b330 + 0.5*b264*b332 + 0.5*b264*b340 + 0.5*b264*b341 + 0.5*
     b264*b342 + 0.5*b264*b343 + b264*x473 + 0.5*b265*b289 + 0.5*b265*b298 + 
     0.5*b265*b299 + 0.5*b265*b302 + 0.5*b265*b305 + 0.5*b265*b311 + 0.5*b265*
     b316 + 0.5*b265*b323 + b265*b333 + 0.5*b265*b338 + b265*x461 + 0.5*b266*
     b267 + 0.5*b266*b269 + 0.5*b266*b271 + 0.5*b266*b272 + 0.5*b266*b275 + 0.5
     *b266*b279 + 0.5*b266*b280 + b266*b286 + 0.5*b266*b287 + 0.5*b266*b290 + 
     0.5*b266*b294 + 0.5*b266*b296 + 0.5*b266*b314 + 0.5*b266*b317 + 0.5*b266*
     b319 + 0.5*b266*b321 + 0.5*b266*b326 + 0.5*b266*b328 + 0.5*b266*b330 + 0.5
     *b266*b332 + 0.5*b266*b340 + 0.5*b266*b341 + 0.5*b266*b342 + 0.5*b266*b343
      + b266*x451 + 0.5*b267*b269 + 0.5*b267*b271 + 0.5*b267*b275 + 0.5*b267*
     b279 + 0.5*b267*b280 + 0.5*b267*b286 + 0.5*b267*b287 + b267*b290 + b267*
     b294 + 0.5*b267*b296 + 0.5*b267*b314 + 0.5*b267*b317 + 0.5*b267*b319 + 0.5
     *b267*b321 + 0.5*b267*b326 + 0.5*b267*b328 + 0.5*b267*b330 + 0.5*b267*b332
      + 0.5*b267*b340 + 0.5*b267*b341 + 0.5*b267*b342 + 0.5*b267*b343 + b267*
     x445 + 0.5*b268*b281 + 0.5*b268*b282 + b268*b292 + 0.5*b268*b313 + 0.5*
     b268*b320 + 0.5*b268*b323 + 0.5*b268*b325 + b268*x465 + b268*x454 + 0.5*
     b269*b271 + 0.5*b269*b275 + 0.5*b269*b279 + 0.5*b269*b280 + 0.5*b269*b286
      + b269*b287 + 0.5*b269*b290 + 0.5*b269*b294 + 0.5*b269*b296 + b269*b314
      + 0.5*b269*b317 + 0.5*b269*b319 + b269*b321 + 0.5*b269*b326 + 0.5*b269*
     b328 + 0.5*b269*b330 + 0.5*b269*b332 + 0.5*b269*b340 + 0.5*b269*b341 + 0.5
     *b269*b342 + 0.5*b269*b343 + b269*x469 + 0.5*b270*b285 + 0.5*b270*b288 + 
     0.5*b270*b295 + 0.5*b270*b297 + 0.5*b270*b303 + 0.5*b270*b306 + 0.5*b270*
     b310 + 0.5*b270*b312 + 0.5*b270*b317 + 0.5*b270*b327 + b270*b329 + b270*
     x464 + 0.5*b271*b274 + 0.5*b271*b275 + 0.5*b271*b276 + 0.5*b271*b277 + 
     b271*b279 + 0.5*b271*b280 + 0.5*b271*b286 + 0.5*b271*b287 + 0.5*b271*b288
      + 0.5*b271*b290 + 0.5*b271*b294 + 0.5*b271*b295 + b271*b296 + 0.5*b271*
     b297 + 0.5*b271*b307 + 0.5*b271*b310 + 0.5*b271*b314 + 0.5*b271*b317 + 0.5
     *b271*b319 + 0.5*b271*b321 + 0.5*b271*b326 + 0.5*b271*b328 + 0.5*b271*b330
      + 0.5*b271*b331 + 0.5*b271*b332 + 0.5*b271*b334 + 0.5*b271*b335 + 0.5*
     b271*b336 + 0.5*b271*b337 + 0.5*b271*b339 + 0.5*b271*b340 + 0.5*b271*b341
      + 0.5*b271*b342 + 0.5*b271*b343 + 0.5*b272*b286 + 0.5*b272*b289 + 0.5*
     b272*b318 + 0.5*b272*b340 + 0.5*b272*b341 + 0.5*b272*b342 + 0.5*b272*b343
      + b272*x452 + b272*x451 + 0.5*b273*b281 + 0.5*b273*b282 + 0.5*b273*b283
      + b273*b291 + 0.5*b273*b322 + b273*x456 + 0.5*b274*b276 + 0.5*b274*b277
      + 0.5*b274*b279 + 0.5*b274*b288 + 0.5*b274*b295 + 0.5*b274*b296 + 0.5*
     b274*b297 + 0.5*b274*b307 + 0.5*b274*b310 + b274*b331 + 0.5*b274*b334 + 
     0.5*b274*b335 + 0.5*b274*b336 + b274*b337 + b274*b339 + b274*x472 + 0.5*
     b275*b278 + 0.5*b275*b279 + 0.5*b275*b280 + 0.5*b275*b284 + 0.5*b275*b286
      + 0.5*b275*b287 + 0.5*b275*b290 + 0.5*b275*b294 + 0.5*b275*b296 + 0.5*
     b275*b300 + 0.5*b275*b301 + 0.5*b275*b309 + 0.5*b275*b314 + 0.5*b275*b317
      + b275*b319 + 0.5*b275*b321 + 0.5*b275*b324 + b275*b326 + 0.5*b275*b328
      + 0.5*b275*b330 + b275*b332 + 0.5*b275*b340 + 0.5*b275*b341 + 0.5*b275*
     b342 + 0.5*b275*b343 + 0.5*b276*b277 + 0.5*b276*b279 + 0.5*b276*b288 + 0.5
     *b276*b295 + 0.5*b276*b296 + 0.5*b276*b297 + 0.5*b276*b307 + 0.5*b276*b310
      + 0.5*b276*b331 + 0.5*b276*b334 + b276*b335 + 0.5*b276*b336 + 0.5*b276*
     b337 + 0.5*b276*b339 + b276*x466 + 0.5*b277*b279 + 0.5*b277*b288 + 0.5*
     b277*b295 + 0.5*b277*b296 + 0.5*b277*b297 + 0.5*b277*b307 + 0.5*b277*b310
      + 0.5*b277*b331 + 0.5*b277*b334 + 0.5*b277*b335 + b277*b336 + 0.5*b277*
     b337 + 0.5*b277*b339 + b277*x471 + 0.5*b278*b284 + 0.5*b278*b298 + 0.5*
     b278*b300 + b278*b301 + 0.5*b278*b305 + 0.5*b278*b308 + 0.5*b278*b309 + 
     0.5*b278*b311 + 0.5*b278*b319 + b278*b324 + 0.5*b278*b326 + 0.5*b278*b332
      + b278*x455 + 0.5*b279*b280 + 0.5*b279*b286 + 0.5*b279*b287 + 0.5*b279*
     b288 + 0.5*b279*b290 + 0.5*b279*b294 + 0.5*b279*b295 + b279*b296 + 0.5*
     b279*b297 + 0.5*b279*b307 + 0.5*b279*b310 + 0.5*b279*b314 + 0.5*b279*b317
      + 0.5*b279*b319 + 0.5*b279*b321 + 0.5*b279*b326 + 0.5*b279*b328 + 0.5*
     b279*b330 + 0.5*b279*b331 + 0.5*b279*b332 + 0.5*b279*b334 + 0.5*b279*b335
      + 0.5*b279*b336 + 0.5*b279*b337 + 0.5*b279*b339 + 0.5*b279*b340 + 0.5*
     b279*b341 + 0.5*b279*b342 + 0.5*b279*b343 + 0.5*b280*b286 + 0.5*b280*b287
      + 0.5*b280*b290 + 0.5*b280*b294 + 0.5*b280*b296 + 0.5*b280*b314 + 0.5*
     b280*b317 + 0.5*b280*b319 + 0.5*b280*b321 + 0.5*b280*b326 + b280*b328 + 
     b280*b330 + 0.5*b280*b332 + 0.5*b280*b340 + 0.5*b280*b341 + 0.5*b280*b342
      + 0.5*b280*b343 + b280*x473 + b281*b282 + 0.5*b281*b283 + 0.5*b281*b291
      + 0.5*b281*b292 + 0.5*b281*b320 + 0.5*b281*b322 + 0.5*b281*b323 + 0.5*
     b281*b325 + b281*x454 + 0.5*b282*b283 + 0.5*b282*b291 + 0.5*b282*b292 + 
     0.5*b282*b320 + 0.5*b282*b322 + 0.5*b282*b323 + 0.5*b282*b325 + b282*x454
      + 0.5*b283*b291 + 0.5*b283*b322 + b283*x474 + 0.5*b284*b285 + b284*b300
      + 0.5*b284*b301 + 0.5*b284*b303 + 0.5*b284*b306 + b284*b309 + 0.5*b284*
     b312 + 0.5*b284*b319 + 0.5*b284*b324 + 0.5*b284*b326 + 0.5*b284*b327 + 0.5
     *b284*b332 + 0.5*b284*b334 + b284*x467 + 0.5*b285*b300 + b285*b303 + b285*
     b306 + 0.5*b285*b309 + b285*b312 + 0.5*b285*b317 + b285*b327 + 0.5*b285*
     b329 + 0.5*b285*b334 + b285*x467 + 0.5*b286*b287 + 0.5*b286*b290 + 0.5*
     b286*b294 + 0.5*b286*b296 + 0.5*b286*b314 + 0.5*b286*b317 + 0.5*b286*b319
      + 0.5*b286*b321 + 0.5*b286*b326 + 0.5*b286*b328 + 0.5*b286*b330 + 0.5*
     b286*b332 + 0.5*b286*b340 + 0.5*b286*b341 + 0.5*b286*b342 + 0.5*b286*b343
      + b286*x451 + 0.5*b287*b290 + 0.5*b287*b294 + 0.5*b287*b296 + b287*b314
      + 0.5*b287*b317 + 0.5*b287*b319 + b287*b321 + 0.5*b287*b326 + 0.5*b287*
     b328 + 0.5*b287*b330 + 0.5*b287*b332 + 0.5*b287*b340 + 0.5*b287*b341 + 0.5
     *b287*b342 + 0.5*b287*b343 + b287*x469 + b288*b295 + 0.5*b288*b296 + b288*
     b297 + 0.5*b288*b307 + b288*b310 + 0.5*b288*b329 + 0.5*b288*b331 + 0.5*
     b288*b334 + 0.5*b288*b335 + 0.5*b288*b336 + 0.5*b288*b337 + 0.5*b288*b339
      + b288*x464 + 0.5*b289*b298 + 0.5*b289*b299 + 0.5*b289*b302 + 0.5*b289*
     b305 + 0.5*b289*b311 + 0.5*b289*b316 + 0.5*b289*b318 + 0.5*b289*b323 + 0.5
     *b289*b333 + 0.5*b289*b338 + 0.5*b289*b340 + 0.5*b289*b341 + 0.5*b289*b342
      + 0.5*b289*b343 + b289*x452 + b290*b294 + 0.5*b290*b296 + 0.5*b290*b314
      + 0.5*b290*b317 + 0.5*b290*b319 + 0.5*b290*b321 + 0.5*b290*b326 + 0.5*
     b290*b328 + 0.5*b290*b330 + 0.5*b290*b332 + 0.5*b290*b340 + 0.5*b290*b341
      + 0.5*b290*b342 + 0.5*b290*b343 + b290*x445 + 0.5*b291*b322 + b291*x456
      + 0.5*b292*b313 + 0.5*b292*b320 + 0.5*b292*b323 + 0.5*b292*b325 + b292*
     x465 + b292*x454 + 0.5*b293*b302 + 0.5*b293*b304 + 0.5*b293*b308 + 0.5*
     b293*b315 + 0.5*b293*b318 + b293*x450 + b293*x463 + 0.5*b294*b296 + 0.5*
     b294*b314 + 0.5*b294*b317 + 0.5*b294*b319 + 0.5*b294*b321 + 0.5*b294*b326
      + 0.5*b294*b328 + 0.5*b294*b330 + 0.5*b294*b332 + 0.5*b294*b340 + 0.5*
     b294*b341 + 0.5*b294*b342 + 0.5*b294*b343 + b294*x445 + 0.5*b295*b296 + 
     b295*b297 + 0.5*b295*b307 + b295*b310 + 0.5*b295*b329 + 0.5*b295*b331 + 
     0.5*b295*b334 + 0.5*b295*b335 + 0.5*b295*b336 + 0.5*b295*b337 + 0.5*b295*
     b339 + b295*x464 + 0.5*b296*b297 + 0.5*b296*b307 + 0.5*b296*b310 + 0.5*
     b296*b314 + 0.5*b296*b317 + 0.5*b296*b319 + 0.5*b296*b321 + 0.5*b296*b326
      + 0.5*b296*b328 + 0.5*b296*b330 + 0.5*b296*b331 + 0.5*b296*b332 + 0.5*
     b296*b334 + 0.5*b296*b335 + 0.5*b296*b336 + 0.5*b296*b337 + 0.5*b296*b339
      + 0.5*b296*b340 + 0.5*b296*b341 + 0.5*b296*b342 + 0.5*b296*b343 + 0.5*
     b297*b307 + b297*b310 + 0.5*b297*b329 + 0.5*b297*b331 + 0.5*b297*b334 + 
     0.5*b297*b335 + 0.5*b297*b336 + 0.5*b297*b337 + 0.5*b297*b339 + b297*x464
      + 0.5*b298*b299 + 0.5*b298*b301 + 0.5*b298*b302 + b298*b305 + 0.5*b298*
     b308 + b298*b311 + 0.5*b298*b316 + 0.5*b298*b323 + 0.5*b298*b324 + 0.5*
     b298*b333 + 0.5*b298*b338 + b298*x455 + 0.5*b299*b302 + 0.5*b299*b305 + 
     0.5*b299*b311 + 0.5*b299*b313 + 0.5*b299*b316 + 0.5*b299*b322 + 0.5*b299*
     b323 + 0.5*b299*b333 + 0.5*b299*b338 + b299*x462 + 0.5*b300*b301 + 0.5*
     b300*b303 + 0.5*b300*b306 + b300*b309 + 0.5*b300*b312 + 0.5*b300*b319 + 
     0.5*b300*b324 + 0.5*b300*b326 + 0.5*b300*b327 + 0.5*b300*b332 + 0.5*b300*
     b334 + b300*x467 + 0.5*b301*b305 + 0.5*b301*b308 + 0.5*b301*b309 + 0.5*
     b301*b311 + 0.5*b301*b319 + b301*b324 + 0.5*b301*b326 + 0.5*b301*b332 + 
     b301*x455 + 0.5*b302*b304 + 0.5*b302*b305 + 0.5*b302*b311 + 0.5*b302*b316
      + 0.5*b302*b323 + 0.5*b302*b333 + 0.5*b302*b338 + b302*x463 + b303*b306
      + 0.5*b303*b309 + b303*b312 + 0.5*b303*b317 + b303*b327 + 0.5*b303*b329
      + 0.5*b303*b334 + b303*x467 + 0.5*b304*b320 + b304*x453 + b304*x463 + 0.5
     *b305*b308 + b305*b311 + 0.5*b305*b316 + 0.5*b305*b323 + 0.5*b305*b324 + 
     0.5*b305*b333 + 0.5*b305*b338 + b305*x455 + 0.5*b306*b309 + b306*b312 + 
     0.5*b306*b317 + b306*b327 + 0.5*b306*b329 + 0.5*b306*b334 + b306*x467 + 
     0.5*b307*b310 + 0.5*b307*b331 + 0.5*b307*b334 + 0.5*b307*b335 + 0.5*b307*
     b336 + 0.5*b307*b337 + 0.5*b307*b339 + b307*x468 + 0.5*b308*b311 + 0.5*
     b308*b315 + 0.5*b308*b318 + 0.5*b308*b324 + b308*x455 + b308*x450 + 0.5*
     b309*b312 + 0.5*b309*b319 + 0.5*b309*b324 + 0.5*b309*b326 + 0.5*b309*b327
      + 0.5*b309*b332 + 0.5*b309*b334 + b309*x467 + 0.5*b310*b329 + 0.5*b310*
     b331 + 0.5*b310*b334 + 0.5*b310*b335 + 0.5*b310*b336 + 0.5*b310*b337 + 0.5
     *b310*b339 + b310*x464 + 0.5*b311*b316 + 0.5*b311*b323 + 0.5*b311*b324 + 
     0.5*b311*b333 + 0.5*b311*b338 + b311*x455 + 0.5*b312*b317 + b312*b327 + 
     0.5*b312*b329 + 0.5*b312*b334 + b312*x467 + 0.5*b313*b322 + b313*x462 + 
     b313*x465 + 0.5*b314*b317 + 0.5*b314*b319 + b314*b321 + 0.5*b314*b326 + 
     0.5*b314*b328 + 0.5*b314*b330 + 0.5*b314*b332 + 0.5*b314*b340 + 0.5*b314*
     b341 + 0.5*b314*b342 + 0.5*b314*b343 + b314*x469 + 0.5*b315*b316 + 0.5*
     b315*b318 + 0.5*b315*b338 + b315*x450 + b315*x460 + 0.5*b316*b323 + 0.5*
     b316*b333 + b316*b338 + b316*x460 + 0.5*b317*b319 + 0.5*b317*b321 + 0.5*
     b317*b326 + 0.5*b317*b327 + 0.5*b317*b328 + 0.5*b317*b329 + 0.5*b317*b330
      + 0.5*b317*b332 + 0.5*b317*b340 + 0.5*b317*b341 + 0.5*b317*b342 + 0.5*
     b317*b343 + 0.5*b318*b340 + 0.5*b318*b341 + 0.5*b318*b342 + 0.5*b318*b343
      + b318*x452 + b318*x450 + 0.5*b319*b321 + 0.5*b319*b324 + b319*b326 + 0.5
     *b319*b328 + 0.5*b319*b330 + b319*b332 + 0.5*b319*b340 + 0.5*b319*b341 + 
     0.5*b319*b342 + 0.5*b319*b343 + 0.5*b320*b323 + 0.5*b320*b325 + b320*x453
      + b320*x454 + 0.5*b321*b326 + 0.5*b321*b328 + 0.5*b321*b330 + 0.5*b321*
     b332 + 0.5*b321*b340 + 0.5*b321*b341 + 0.5*b321*b342 + 0.5*b321*b343 + 
     b321*x469 + b322*x462 + 0.5*b323*b325 + 0.5*b323*b333 + 0.5*b323*b338 + 
     b323*x454 + 0.5*b324*b326 + 0.5*b324*b332 + b324*x455 + b325*x475 + b325*
     x454 + 0.5*b326*b328 + 0.5*b326*b330 + b326*b332 + 0.5*b326*b340 + 0.5*
     b326*b341 + 0.5*b326*b342 + 0.5*b326*b343 + 0.5*b327*b329 + 0.5*b327*b334
      + b327*x467 + b328*b330 + 0.5*b328*b332 + 0.5*b328*b340 + 0.5*b328*b341
      + 0.5*b328*b342 + 0.5*b328*b343 + b328*x473 + b329*x464 + 0.5*b330*b332
      + 0.5*b330*b340 + 0.5*b330*b341 + 0.5*b330*b342 + 0.5*b330*b343 + b330*
     x473 + 0.5*b331*b334 + 0.5*b331*b335 + 0.5*b331*b336 + b331*b337 + b331*
     b339 + b331*x472 + 0.5*b332*b340 + 0.5*b332*b341 + 0.5*b332*b342 + 0.5*
     b332*b343 + 0.5*b333*b338 + b333*x461 + 0.5*b334*b335 + 0.5*b334*b336 + 
     0.5*b334*b337 + 0.5*b334*b339 + b334*x467 + 0.5*b335*b336 + 0.5*b335*b337
      + 0.5*b335*b339 + b335*x466 + 0.5*b336*b337 + 0.5*b336*b339 + b336*x471
      + b337*b339 + b337*x472 + b338*x460 + b339*x472 + b340*b341 + b340*b342
      + b340*b343 + b340*x452 + b341*b342 + b341*b343 + b341*x452 + b342*b343
      + b342*x452 + b343*x452 + 0.5*b344*b345 + 0.5*b344*b353 + 0.5*b344*b359
      + 0.5*b344*b360 + 0.5*b344*b361 + 0.5*b344*b364 + 0.5*b344*b366 + 0.5*
     b344*b368 + 0.5*b344*b372 + 0.5*b344*b373 + 0.5*b344*b375 + 0.5*b344*b376
      + 0.5*b344*b377 + 0.5*b344*b380 + 0.5*b344*b381 + 0.5*b344*b383 + 0.5*
     b344*b384 + 0.5*b344*b385 + 0.5*b344*b386 + 0.5*b344*b391 + 0.5*b344*b392
      + 0.5*b344*b407 + 0.5*b344*b411 + b344*x476 + b344*x477 + 0.5*b345*b348
      + 0.5*b345*b349 + 0.5*b345*b353 + 0.5*b345*b354 + 0.5*b345*b358 + 0.5*
     b345*b359 + 0.5*b345*b360 + 0.5*b345*b361 + b345*b364 + 0.5*b345*b368 + 
     0.5*b345*b372 + 0.5*b345*b373 + 0.5*b345*b375 + 0.5*b345*b376 + 0.5*b345*
     b377 + b345*b380 + 0.5*b345*b381 + b345*b383 + 0.5*b345*b384 + 0.5*b345*
     b385 + 0.5*b345*b386 + 0.5*b345*b391 + b345*b392 + 0.5*b345*b397 + 0.5*
     b345*b399 + 0.5*b345*b401 + 0.5*b345*b404 + 0.5*b345*b407 + 0.5*b345*b411
      + 0.5*b345*b412 + 0.5*b345*b414 + b345*x476 + b346*b347 + b346*b370 + 
     b346*b371 + 0.5*b346*b375 + 0.5*b346*b377 + 0.5*b346*b384 + 0.5*b346*b386
      + b346*b405 + 0.5*b346*b407 + b346*x478 + b346*x479 + b347*b370 + b347*
     b371 + 0.5*b347*b375 + 0.5*b347*b377 + 0.5*b347*b384 + 0.5*b347*b386 + 
     b347*b405 + 0.5*b347*b407 + b347*x478 + b347*x479 + 0.5*b348*b349 + b348*
     b354 + b348*b358 + 0.5*b348*b362 + 0.5*b348*b363 + 0.5*b348*b364 + 0.5*
     b348*b367 + 0.5*b348*b378 + 0.5*b348*b379 + 0.5*b348*b380 + 0.5*b348*b382
      + 0.5*b348*b383 + 0.5*b348*b392 + 0.5*b348*b394 + 0.5*b348*b397 + 0.5*
     b348*b398 + 0.5*b348*b399 + 0.5*b348*b401 + 0.5*b348*b403 + 0.5*b348*b404
      + b348*b412 + b348*b414 + 0.5*b348*b416 + b348*x480 + 0.5*b349*b350 + 0.5
     *b349*b351 + 0.5*b349*b352 + 0.5*b349*b354 + 0.5*b349*b356 + 0.5*b349*b357
      + 0.5*b349*b358 + 0.5*b349*b364 + 0.5*b349*b365 + 0.5*b349*b366 + 0.5*
     b349*b369 + 0.5*b349*b374 + 0.5*b349*b380 + 0.5*b349*b383 + 0.5*b349*b387
      + 0.5*b349*b388 + 0.5*b349*b389 + 0.5*b349*b392 + 0.5*b349*b395 + 0.5*
     b349*b396 + b349*b397 + b349*b399 + 0.5*b349*b400 + b349*b401 + 0.5*b349*
     b402 + b349*b404 + 0.5*b349*b406 + 0.5*b349*b410 + 0.5*b349*b412 + 0.5*
     b349*b413 + 0.5*b349*b414 + 0.5*b349*b415 + 0.5*b349*b417 + 0.5*b350*b351
      + b350*b352 + 0.5*b350*b356 + b350*b357 + 0.5*b350*b359 + 0.5*b350*b365
      + 0.5*b350*b366 + 0.5*b350*b368 + 0.5*b350*b369 + 0.5*b350*b373 + 0.5*
     b350*b374 + 0.5*b350*b381 + 0.5*b350*b387 + 0.5*b350*b388 + 0.5*b350*b389
      + b350*b395 + 0.5*b350*b396 + 0.5*b350*b397 + 0.5*b350*b399 + 0.5*b350*
     b400 + 0.5*b350*b401 + b350*b402 + 0.5*b350*b404 + 0.5*b350*b406 + 0.5*
     b350*b410 + 0.5*b350*b411 + 0.5*b350*b413 + 0.5*b350*b415 + 0.5*b350*b417
      + 0.5*b351*b352 + 0.5*b351*b356 + 0.5*b351*b357 + 0.5*b351*b365 + 0.5*
     b351*b366 + 0.5*b351*b369 + 0.5*b351*b374 + 0.5*b351*b387 + 0.5*b351*b388
      + b351*b389 + 0.5*b351*b395 + b351*b396 + 0.5*b351*b397 + 0.5*b351*b399
      + b351*b400 + 0.5*b351*b401 + 0.5*b351*b402 + 0.5*b351*b404 + 0.5*b351*
     b406 + 0.5*b351*b410 + b351*b413 + 0.5*b351*b415 + 0.5*b351*b417 + b351*
     x481 + 0.5*b352*b356 + b352*b357 + 0.5*b352*b359 + 0.5*b352*b365 + 0.5*
     b352*b366 + 0.5*b352*b368 + 0.5*b352*b369 + 0.5*b352*b373 + 0.5*b352*b374
      + 0.5*b352*b381 + 0.5*b352*b387 + 0.5*b352*b388 + 0.5*b352*b389 + b352*
     b395 + 0.5*b352*b396 + 0.5*b352*b397 + 0.5*b352*b399 + 0.5*b352*b400 + 0.5
     *b352*b401 + b352*b402 + 0.5*b352*b404 + 0.5*b352*b406 + 0.5*b352*b410 + 
     0.5*b352*b411 + 0.5*b352*b413 + 0.5*b352*b415 + 0.5*b352*b417 + 0.5*b353*
     b359 + b353*b360 + b353*b361 + 0.5*b353*b363 + 0.5*b353*b364 + 0.5*b353*
     b365 + 0.5*b353*b368 + 0.5*b353*b369 + b353*b372 + 0.5*b353*b373 + 0.5*
     b353*b374 + 0.5*b353*b375 + 0.5*b353*b376 + 0.5*b353*b377 + 0.5*b353*b378
      + 0.5*b353*b379 + 0.5*b353*b380 + 0.5*b353*b381 + 0.5*b353*b383 + 0.5*
     b353*b384 + b353*b385 + 0.5*b353*b386 + 0.5*b353*b391 + 0.5*b353*b392 + 
     0.5*b353*b394 + 0.5*b353*b403 + 0.5*b353*b407 + 0.5*b353*b410 + 0.5*b353*
     b411 + 0.5*b353*b415 + b353*x476 + b354*b358 + 0.5*b354*b362 + 0.5*b354*
     b363 + 0.5*b354*b364 + 0.5*b354*b367 + 0.5*b354*b378 + 0.5*b354*b379 + 0.5
     *b354*b380 + 0.5*b354*b382 + 0.5*b354*b383 + 0.5*b354*b392 + 0.5*b354*b394
      + 0.5*b354*b397 + 0.5*b354*b398 + 0.5*b354*b399 + 0.5*b354*b401 + 0.5*
     b354*b403 + 0.5*b354*b404 + b354*b412 + b354*b414 + 0.5*b354*b416 + b354*
     x480 + 0.5*b355*b356 + 0.5*b355*b362 + 0.5*b355*b367 + 0.5*b355*b382 + 0.5
     *b355*b387 + 0.5*b355*b388 + b355*b390 + b355*b393 + 0.5*b355*b398 + 0.5*
     b355*b406 + b355*b408 + b355*b409 + 0.5*b355*b416 + 0.5*b355*b417 + b355*
     x482 + 0.5*b356*b357 + 0.5*b356*b362 + 0.5*b356*b365 + 0.5*b356*b366 + 0.5
     *b356*b367 + 0.5*b356*b369 + 0.5*b356*b374 + 0.5*b356*b382 + b356*b387 + 
     b356*b388 + 0.5*b356*b389 + 0.5*b356*b390 + 0.5*b356*b393 + 0.5*b356*b395
      + 0.5*b356*b396 + 0.5*b356*b397 + 0.5*b356*b398 + 0.5*b356*b399 + 0.5*
     b356*b400 + 0.5*b356*b401 + 0.5*b356*b402 + 0.5*b356*b404 + b356*b406 + 
     0.5*b356*b408 + 0.5*b356*b409 + 0.5*b356*b410 + 0.5*b356*b413 + 0.5*b356*
     b415 + 0.5*b356*b416 + b356*b417 + 0.5*b357*b359 + 0.5*b357*b365 + 0.5*
     b357*b366 + 0.5*b357*b368 + 0.5*b357*b369 + 0.5*b357*b373 + 0.5*b357*b374
      + 0.5*b357*b381 + 0.5*b357*b387 + 0.5*b357*b388 + 0.5*b357*b389 + b357*
     b395 + 0.5*b357*b396 + 0.5*b357*b397 + 0.5*b357*b399 + 0.5*b357*b400 + 0.5
     *b357*b401 + b357*b402 + 0.5*b357*b404 + 0.5*b357*b406 + 0.5*b357*b410 + 
     0.5*b357*b411 + 0.5*b357*b413 + 0.5*b357*b415 + 0.5*b357*b417 + 0.5*b358*
     b362 + 0.5*b358*b363 + 0.5*b358*b364 + 0.5*b358*b367 + 0.5*b358*b378 + 0.5
     *b358*b379 + 0.5*b358*b380 + 0.5*b358*b382 + 0.5*b358*b383 + 0.5*b358*b392
      + 0.5*b358*b394 + 0.5*b358*b397 + 0.5*b358*b398 + 0.5*b358*b399 + 0.5*
     b358*b401 + 0.5*b358*b403 + 0.5*b358*b404 + b358*b412 + b358*b414 + 0.5*
     b358*b416 + b358*x480 + 0.5*b359*b360 + 0.5*b359*b361 + 0.5*b359*b364 + 
     b359*b368 + 0.5*b359*b372 + b359*b373 + 0.5*b359*b375 + 0.5*b359*b376 + 
     0.5*b359*b377 + 0.5*b359*b380 + b359*b381 + 0.5*b359*b383 + 0.5*b359*b384
      + 0.5*b359*b385 + 0.5*b359*b386 + 0.5*b359*b391 + 0.5*b359*b392 + 0.5*
     b359*b395 + 0.5*b359*b402 + 0.5*b359*b407 + b359*b411 + b359*x476 + b360*
     b361 + 0.5*b360*b363 + 0.5*b360*b364 + 0.5*b360*b365 + 0.5*b360*b368 + 0.5
     *b360*b369 + b360*b372 + 0.5*b360*b373 + 0.5*b360*b374 + 0.5*b360*b375 + 
     0.5*b360*b376 + 0.5*b360*b377 + 0.5*b360*b378 + 0.5*b360*b379 + 0.5*b360*
     b380 + 0.5*b360*b381 + 0.5*b360*b383 + 0.5*b360*b384 + b360*b385 + 0.5*
     b360*b386 + 0.5*b360*b391 + 0.5*b360*b392 + 0.5*b360*b394 + 0.5*b360*b403
      + 0.5*b360*b407 + 0.5*b360*b410 + 0.5*b360*b411 + 0.5*b360*b415 + b360*
     x476 + 0.5*b361*b363 + 0.5*b361*b364 + 0.5*b361*b365 + 0.5*b361*b368 + 0.5
     *b361*b369 + b361*b372 + 0.5*b361*b373 + 0.5*b361*b374 + 0.5*b361*b375 + 
     0.5*b361*b376 + 0.5*b361*b377 + 0.5*b361*b378 + 0.5*b361*b379 + 0.5*b361*
     b380 + 0.5*b361*b381 + 0.5*b361*b383 + 0.5*b361*b384 + b361*b385 + 0.5*
     b361*b386 + 0.5*b361*b391 + 0.5*b361*b392 + 0.5*b361*b394 + 0.5*b361*b403
      + 0.5*b361*b407 + 0.5*b361*b410 + 0.5*b361*b411 + 0.5*b361*b415 + b361*
     x476 + 0.5*b362*b363 + b362*b367 + 0.5*b362*b378 + 0.5*b362*b379 + b362*
     b382 + 0.5*b362*b387 + 0.5*b362*b388 + 0.5*b362*b390 + 0.5*b362*b393 + 0.5
     *b362*b394 + b362*b398 + 0.5*b362*b403 + 0.5*b362*b406 + 0.5*b362*b408 + 
     0.5*b362*b409 + 0.5*b362*b412 + 0.5*b362*b414 + b362*b416 + 0.5*b362*b417
      + b362*x480 + 0.5*b363*b365 + 0.5*b363*b367 + 0.5*b363*b369 + 0.5*b363*
     b372 + 0.5*b363*b374 + b363*b378 + b363*b379 + 0.5*b363*b382 + 0.5*b363*
     b385 + b363*b394 + 0.5*b363*b398 + b363*b403 + 0.5*b363*b410 + 0.5*b363*
     b412 + 0.5*b363*b414 + 0.5*b363*b415 + 0.5*b363*b416 + b363*x480 + 0.5*
     b364*b368 + 0.5*b364*b372 + 0.5*b364*b373 + 0.5*b364*b375 + 0.5*b364*b376
      + 0.5*b364*b377 + b364*b380 + 0.5*b364*b381 + b364*b383 + 0.5*b364*b384
      + 0.5*b364*b385 + 0.5*b364*b386 + 0.5*b364*b391 + b364*b392 + 0.5*b364*
     b397 + 0.5*b364*b399 + 0.5*b364*b401 + 0.5*b364*b404 + 0.5*b364*b407 + 0.5
     *b364*b411 + 0.5*b364*b412 + 0.5*b364*b414 + b364*x476 + 0.5*b365*b366 + 
     b365*b369 + 0.5*b365*b372 + b365*b374 + 0.5*b365*b378 + 0.5*b365*b379 + 
     0.5*b365*b385 + 0.5*b365*b387 + 0.5*b365*b388 + 0.5*b365*b389 + 0.5*b365*
     b394 + 0.5*b365*b395 + 0.5*b365*b396 + 0.5*b365*b397 + 0.5*b365*b399 + 0.5
     *b365*b400 + 0.5*b365*b401 + 0.5*b365*b402 + 0.5*b365*b403 + 0.5*b365*b404
      + 0.5*b365*b406 + b365*b410 + 0.5*b365*b413 + b365*b415 + 0.5*b365*b417
      + 0.5*b366*b369 + 0.5*b366*b374 + 0.5*b366*b387 + 0.5*b366*b388 + 0.5*
     b366*b389 + 0.5*b366*b395 + 0.5*b366*b396 + 0.5*b366*b397 + 0.5*b366*b399
      + 0.5*b366*b400 + 0.5*b366*b401 + 0.5*b366*b402 + 0.5*b366*b404 + 0.5*
     b366*b406 + 0.5*b366*b410 + 0.5*b366*b413 + 0.5*b366*b415 + 0.5*b366*b417
      + b366*x477 + 0.5*b367*b378 + 0.5*b367*b379 + b367*b382 + 0.5*b367*b387
      + 0.5*b367*b388 + 0.5*b367*b390 + 0.5*b367*b393 + 0.5*b367*b394 + b367*
     b398 + 0.5*b367*b403 + 0.5*b367*b406 + 0.5*b367*b408 + 0.5*b367*b409 + 0.5
     *b367*b412 + 0.5*b367*b414 + b367*b416 + 0.5*b367*b417 + b367*x480 + 0.5*
     b368*b372 + b368*b373 + 0.5*b368*b375 + 0.5*b368*b376 + 0.5*b368*b377 + 
     0.5*b368*b380 + b368*b381 + 0.5*b368*b383 + 0.5*b368*b384 + 0.5*b368*b385
      + 0.5*b368*b386 + 0.5*b368*b391 + 0.5*b368*b392 + 0.5*b368*b395 + 0.5*
     b368*b402 + 0.5*b368*b407 + b368*b411 + b368*x476 + 0.5*b369*b372 + b369*
     b374 + 0.5*b369*b378 + 0.5*b369*b379 + 0.5*b369*b385 + 0.5*b369*b387 + 0.5
     *b369*b388 + 0.5*b369*b389 + 0.5*b369*b394 + 0.5*b369*b395 + 0.5*b369*b396
      + 0.5*b369*b397 + 0.5*b369*b399 + 0.5*b369*b400 + 0.5*b369*b401 + 0.5*
     b369*b402 + 0.5*b369*b403 + 0.5*b369*b404 + 0.5*b369*b406 + b369*b410 + 
     0.5*b369*b413 + b369*b415 + 0.5*b369*b417 + b370*b371 + 0.5*b370*b375 + 
     0.5*b370*b377 + 0.5*b370*b384 + 0.5*b370*b386 + b370*b405 + 0.5*b370*b407
      + b370*x478 + b370*x479 + 0.5*b371*b375 + 0.5*b371*b377 + 0.5*b371*b384
      + 0.5*b371*b386 + b371*b405 + 0.5*b371*b407 + b371*x478 + b371*x479 + 0.5
     *b372*b373 + 0.5*b372*b374 + 0.5*b372*b375 + 0.5*b372*b376 + 0.5*b372*b377
      + 0.5*b372*b378 + 0.5*b372*b379 + 0.5*b372*b380 + 0.5*b372*b381 + 0.5*
     b372*b383 + 0.5*b372*b384 + b372*b385 + 0.5*b372*b386 + 0.5*b372*b391 + 
     0.5*b372*b392 + 0.5*b372*b394 + 0.5*b372*b403 + 0.5*b372*b407 + 0.5*b372*
     b410 + 0.5*b372*b411 + 0.5*b372*b415 + b372*x476 + 0.5*b373*b375 + 0.5*
     b373*b376 + 0.5*b373*b377 + 0.5*b373*b380 + b373*b381 + 0.5*b373*b383 + 
     0.5*b373*b384 + 0.5*b373*b385 + 0.5*b373*b386 + 0.5*b373*b391 + 0.5*b373*
     b392 + 0.5*b373*b395 + 0.5*b373*b402 + 0.5*b373*b407 + b373*b411 + b373*
     x476 + 0.5*b374*b378 + 0.5*b374*b379 + 0.5*b374*b385 + 0.5*b374*b387 + 0.5
     *b374*b388 + 0.5*b374*b389 + 0.5*b374*b394 + 0.5*b374*b395 + 0.5*b374*b396
      + 0.5*b374*b397 + 0.5*b374*b399 + 0.5*b374*b400 + 0.5*b374*b401 + 0.5*
     b374*b402 + 0.5*b374*b403 + 0.5*b374*b404 + 0.5*b374*b406 + b374*b410 + 
     0.5*b374*b413 + b374*b415 + 0.5*b374*b417 + 0.5*b375*b376 + b375*b377 + 
     0.5*b375*b380 + 0.5*b375*b381 + 0.5*b375*b383 + b375*b384 + 0.5*b375*b385
      + b375*b386 + 0.5*b375*b391 + 0.5*b375*b392 + 0.5*b375*b405 + b375*b407
      + 0.5*b375*b411 + b375*x476 + b375*x478 + 0.5*b376*b377 + 0.5*b376*b380
      + 0.5*b376*b381 + 0.5*b376*b383 + 0.5*b376*b384 + 0.5*b376*b385 + 0.5*
     b376*b386 + b376*b391 + 0.5*b376*b392 + 0.5*b376*b407 + 0.5*b376*b411 + 
     b376*x483 + b376*x476 + 0.5*b377*b380 + 0.5*b377*b381 + 0.5*b377*b383 + 
     b377*b384 + 0.5*b377*b385 + b377*b386 + 0.5*b377*b391 + 0.5*b377*b392 + 
     0.5*b377*b405 + b377*b407 + 0.5*b377*b411 + b377*x476 + b377*x478 + b378*
     b379 + 0.5*b378*b382 + 0.5*b378*b385 + b378*b394 + 0.5*b378*b398 + b378*
     b403 + 0.5*b378*b410 + 0.5*b378*b412 + 0.5*b378*b414 + 0.5*b378*b415 + 0.5
     *b378*b416 + b378*x480 + 0.5*b379*b382 + 0.5*b379*b385 + b379*b394 + 0.5*
     b379*b398 + b379*b403 + 0.5*b379*b410 + 0.5*b379*b412 + 0.5*b379*b414 + 
     0.5*b379*b415 + 0.5*b379*b416 + b379*x480 + 0.5*b380*b381 + b380*b383 + 
     0.5*b380*b384 + 0.5*b380*b385 + 0.5*b380*b386 + 0.5*b380*b391 + b380*b392
      + 0.5*b380*b397 + 0.5*b380*b399 + 0.5*b380*b401 + 0.5*b380*b404 + 0.5*
     b380*b407 + 0.5*b380*b411 + 0.5*b380*b412 + 0.5*b380*b414 + b380*x476 + 
     0.5*b381*b383 + 0.5*b381*b384 + 0.5*b381*b385 + 0.5*b381*b386 + 0.5*b381*
     b391 + 0.5*b381*b392 + 0.5*b381*b395 + 0.5*b381*b402 + 0.5*b381*b407 + 
     b381*b411 + b381*x476 + 0.5*b382*b387 + 0.5*b382*b388 + 0.5*b382*b390 + 
     0.5*b382*b393 + 0.5*b382*b394 + b382*b398 + 0.5*b382*b403 + 0.5*b382*b406
      + 0.5*b382*b408 + 0.5*b382*b409 + 0.5*b382*b412 + 0.5*b382*b414 + b382*
     b416 + 0.5*b382*b417 + b382*x480 + 0.5*b383*b384 + 0.5*b383*b385 + 0.5*
     b383*b386 + 0.5*b383*b391 + b383*b392 + 0.5*b383*b397 + 0.5*b383*b399 + 
     0.5*b383*b401 + 0.5*b383*b404 + 0.5*b383*b407 + 0.5*b383*b411 + 0.5*b383*
     b412 + 0.5*b383*b414 + b383*x476 + 0.5*b384*b385 + b384*b386 + 0.5*b384*
     b391 + 0.5*b384*b392 + 0.5*b384*b405 + b384*b407 + 0.5*b384*b411 + b384*
     x476 + b384*x478 + 0.5*b385*b386 + 0.5*b385*b391 + 0.5*b385*b392 + 0.5*
     b385*b394 + 0.5*b385*b403 + 0.5*b385*b407 + 0.5*b385*b410 + 0.5*b385*b411
      + 0.5*b385*b415 + b385*x476 + 0.5*b386*b391 + 0.5*b386*b392 + 0.5*b386*
     b405 + b386*b407 + 0.5*b386*b411 + b386*x476 + b386*x478 + b387*b388 + 0.5
     *b387*b389 + 0.5*b387*b390 + 0.5*b387*b393 + 0.5*b387*b395 + 0.5*b387*b396
      + 0.5*b387*b397 + 0.5*b387*b398 + 0.5*b387*b399 + 0.5*b387*b400 + 0.5*
     b387*b401 + 0.5*b387*b402 + 0.5*b387*b404 + b387*b406 + 0.5*b387*b408 + 
     0.5*b387*b409 + 0.5*b387*b410 + 0.5*b387*b413 + 0.5*b387*b415 + 0.5*b387*
     b416 + b387*b417 + 0.5*b388*b389 + 0.5*b388*b390 + 0.5*b388*b393 + 0.5*
     b388*b395 + 0.5*b388*b396 + 0.5*b388*b397 + 0.5*b388*b398 + 0.5*b388*b399
      + 0.5*b388*b400 + 0.5*b388*b401 + 0.5*b388*b402 + 0.5*b388*b404 + b388*
     b406 + 0.5*b388*b408 + 0.5*b388*b409 + 0.5*b388*b410 + 0.5*b388*b413 + 0.5
     *b388*b415 + 0.5*b388*b416 + b388*b417 + 0.5*b389*b395 + b389*b396 + 0.5*
     b389*b397 + 0.5*b389*b399 + b389*b400 + 0.5*b389*b401 + 0.5*b389*b402 + 
     0.5*b389*b404 + 0.5*b389*b406 + 0.5*b389*b410 + b389*b413 + 0.5*b389*b415
      + 0.5*b389*b417 + b389*x481 + b390*b393 + 0.5*b390*b398 + 0.5*b390*b406
      + b390*b408 + b390*b409 + 0.5*b390*b416 + 0.5*b390*b417 + b390*x482 + 0.5
     *b391*b392 + 0.5*b391*b407 + 0.5*b391*b411 + b391*x483 + b391*x476 + 0.5*
     b392*b397 + 0.5*b392*b399 + 0.5*b392*b401 + 0.5*b392*b404 + 0.5*b392*b407
      + 0.5*b392*b411 + 0.5*b392*b412 + 0.5*b392*b414 + b392*x476 + 0.5*b393*
     b398 + 0.5*b393*b406 + b393*b408 + b393*b409 + 0.5*b393*b416 + 0.5*b393*
     b417 + b393*x482 + 0.5*b394*b398 + b394*b403 + 0.5*b394*b410 + 0.5*b394*
     b412 + 0.5*b394*b414 + 0.5*b394*b415 + 0.5*b394*b416 + b394*x480 + 0.5*
     b395*b396 + 0.5*b395*b397 + 0.5*b395*b399 + 0.5*b395*b400 + 0.5*b395*b401
      + b395*b402 + 0.5*b395*b404 + 0.5*b395*b406 + 0.5*b395*b410 + 0.5*b395*
     b411 + 0.5*b395*b413 + 0.5*b395*b415 + 0.5*b395*b417 + 0.5*b396*b397 + 0.5
     *b396*b399 + b396*b400 + 0.5*b396*b401 + 0.5*b396*b402 + 0.5*b396*b404 + 
     0.5*b396*b406 + 0.5*b396*b410 + b396*b413 + 0.5*b396*b415 + 0.5*b396*b417
      + b396*x481 + b397*b399 + 0.5*b397*b400 + b397*b401 + 0.5*b397*b402 + 
     b397*b404 + 0.5*b397*b406 + 0.5*b397*b410 + 0.5*b397*b412 + 0.5*b397*b413
      + 0.5*b397*b414 + 0.5*b397*b415 + 0.5*b397*b417 + 0.5*b398*b403 + 0.5*
     b398*b406 + 0.5*b398*b408 + 0.5*b398*b409 + 0.5*b398*b412 + 0.5*b398*b414
      + b398*b416 + 0.5*b398*b417 + b398*x480 + 0.5*b399*b400 + b399*b401 + 0.5
     *b399*b402 + b399*b404 + 0.5*b399*b406 + 0.5*b399*b410 + 0.5*b399*b412 + 
     0.5*b399*b413 + 0.5*b399*b414 + 0.5*b399*b415 + 0.5*b399*b417 + 0.5*b400*
     b401 + 0.5*b400*b402 + 0.5*b400*b404 + 0.5*b400*b406 + 0.5*b400*b410 + 
     b400*b413 + 0.5*b400*b415 + 0.5*b400*b417 + b400*x481 + 0.5*b401*b402 + 
     b401*b404 + 0.5*b401*b406 + 0.5*b401*b410 + 0.5*b401*b412 + 0.5*b401*b413
      + 0.5*b401*b414 + 0.5*b401*b415 + 0.5*b401*b417 + 0.5*b402*b404 + 0.5*
     b402*b406 + 0.5*b402*b410 + 0.5*b402*b411 + 0.5*b402*b413 + 0.5*b402*b415
      + 0.5*b402*b417 + 0.5*b403*b410 + 0.5*b403*b412 + 0.5*b403*b414 + 0.5*
     b403*b415 + 0.5*b403*b416 + b403*x480 + 0.5*b404*b406 + 0.5*b404*b410 + 
     0.5*b404*b412 + 0.5*b404*b413 + 0.5*b404*b414 + 0.5*b404*b415 + 0.5*b404*
     b417 + 0.5*b405*b407 + b405*x478 + b405*x479 + 0.5*b406*b408 + 0.5*b406*
     b409 + 0.5*b406*b410 + 0.5*b406*b413 + 0.5*b406*b415 + 0.5*b406*b416 + 
     b406*b417 + 0.5*b407*b411 + b407*x476 + b407*x478 + b408*b409 + 0.5*b408*
     b416 + 0.5*b408*b417 + b408*x482 + 0.5*b409*b416 + 0.5*b409*b417 + b409*
     x482 + 0.5*b410*b413 + b410*b415 + 0.5*b410*b417 + b411*x476 + b412*b414
      + 0.5*b412*b416 + b412*x480 + 0.5*b413*b415 + 0.5*b413*b417 + b413*x481
      + 0.5*b414*b416 + b414*x480 + 0.5*b415*b417 + 0.5*b416*b417 + b416*x480
      + b418*b419 + 0.5*b418*b420 + 0.5*b418*b421 + 0.5*b418*b422 + b418*b423
      + b418*b424 + 0.5*b418*b425 + b418*b426 + 0.5*b418*b427 + b418*x484 + 
     b418*x485 + 0.5*b419*b420 + 0.5*b419*b421 + 0.5*b419*b422 + b419*b423 + 
     b419*b424 + 0.5*b419*b425 + b419*b426 + 0.5*b419*b427 + b419*x484 + b419*
     x485 + b420*b421 + b420*b422 + 0.5*b420*b423 + 0.5*b420*b424 + b420*b425
      + 0.5*b420*b426 + b420*b427 + b420*x484 + b420*x486 + b421*b422 + 0.5*
     b421*b423 + 0.5*b421*b424 + b421*b425 + 0.5*b421*b426 + b421*b427 + b421*
     x484 + b421*x486 + 0.5*b422*b423 + 0.5*b422*b424 + b422*b425 + 0.5*b422*
     b426 + b422*b427 + b422*x484 + b422*x486 + b423*b424 + 0.5*b423*b425 + 
     b423*b426 + 0.5*b423*b427 + b423*x484 + b423*x485 + 0.5*b424*b425 + b424*
     b426 + 0.5*b424*b427 + b424*x484 + b424*x485 + 0.5*b425*b426 + b425*b427
      + b425*x484 + b425*x486 + 0.5*b426*b427 + b426*x484 + b426*x485 + b427*
     x484 + b427*x486 =L= 208.3333;

e4..  - b139 + b343 =G= 0;

e5..    b139 - b340 =G= 0;

e6..    b340 - b341 =G= 0;

e7..    b341 - b342 =G= 0;

e8..    b235 - b241 =G= 0;

e9..  - b236 + b241 =G= 0;

e10..    b236 - b336 =G= 0;

e11..  - b277 + b336 =G= 0;

e12..    b197 - b294 =G= 0;

e13..  - b267 + b294 =G= 0;

e14..    b267 - b290 =G= 0;

e15..  - b143 + b290 =G= 0;

e16..    b102 - b103 =G= 0;

e17..  - b100 + b103 =G= 0;

e18..    b100 - b107 =G= 0;

e19..  - b55 + b107 =G= 0;

e20..  - b376 + b391 =G= 0;

e21..  - b375 + b377 =G= 0;

e22..    b375 - b407 =G= 0;

e23..  - b384 + b407 =G= 0;

e24..    b384 - b386 =G= 0;

e25..  - b359 + b373 =G= 0;

e26..    b359 - b381 =G= 0;

e27..  - b368 + b381 =G= 0;

e28..    b368 - b411 =G= 0;

e29..    b360 - b385 =G= 0;

e30..  - b372 + b385 =G= 0;

e31..  - b361 + b372 =G= 0;

e32..  - b353 + b361 =G= 0;

e33..  - b345 + b383 =G= 0;

e34..    b345 - b392 =G= 0;

e35..  - b364 + b392 =G= 0;

e36..    b364 - b380 =G= 0;

e37..  - b60 + b116 =G= 0;

e38..    b60 - b126 =G= 0;

e39..  - b123 + b126 =G= 0;

e40..    b123 - b132 =G= 0;

e41..  - b108 + b109 =G= 0;

e42..  - b104 + b108 =G= 0;

e43..  - b58 + b104 =G= 0;

e44..    b58 - b101 =G= 0;

e45..  - b110 + b111 =G= 0;

e46..  - b59 + b110 =G= 0;

e47..    b59 - b113 =G= 0;

e48..    b113 - b114 =G= 0;

e49..    b99 - b112 =G= 0;

e50..  - b56 + b112 =G= 0;

e51..    b56 - b105 =G= 0;

e52..    b105 - b106 =G= 0;

e53..  - b47 + b96 =G= 0;

e54..    b47 - b90 =G= 0;

e55..    b48 - b92 =G= 0;

e56..    b92 - b93 =G= 0;

e57..  - b87 + b93 =G= 0;

e58..    b87 - b91 =G= 0;

e59..  - b95 + b98 =G= 0;

e60..  - b50 + b125 =G= 0;

e61..    b50 - b88 =G= 0;

e62..  - b49 + b88 =G= 0;

e63..    b49 - b89 =G= 0;

e64..    b41 - b76 =G= 0;

e65..  - b40 + b76 =G= 0;

e66..  - b39 + b40 =G= 0;

e67..    b39 - b86 =G= 0;

e68..  - b78 + b80 =G= 0;

e69..  - b44 + b78 =G= 0;

e70..    b44 - b45 =G= 0;

e71..    b45 - b77 =G= 0;

e72..    b43 - b83 =G= 0;

e73..  - b42 + b83 =G= 0;

e74..    b42 - b85 =G= 0;

e75..  - b73 + b85 =G= 0;

e76..    b137 - b141 =G= 0;

e77..  - b138 + b141 =G= 0;

e78..  - b131 + b138 =G= 0;

e79..    b131 - b135 =G= 0;

e80..    b51 - b64 =G= 0;

e81..    b64 - b65 =G= 0;

e82..    b53 - b61 =G= 0;

e83..    b61 - b62 =G= 0;

e84..    b62 - b71 =G= 0;

e85..  - b68 + b71 =G= 0;

e86..  - b52 + b69 =G= 0;

e87..    b52 - b66 =G= 0;

e88..  - b63 + b66 =G= 0;

e89..    b63 - b67 =G= 0;

e90..  - b72 + b75 =G= 0;

e91..    b72 - b84 =G= 0;

e92..  - b46 + b84 =G= 0;

e93..    b46 - b81 =G= 0;

e94..  - b54 + b118 =G= 0;

e95..    b54 - b82 =G= 0;

e96..    b82 - b175 =G= 0;

e97..  - b74 + b175 =G= 0;

e98..  - b355 + b390 =G= 0;

e99..    b355 - b408 =G= 0;

e100..    b408 - b409 =G= 0;

e101..  - b393 + b409 =G= 0;

e102..    b199 - b269 =G= 0;

e103..    b269 - b321 =G= 0;

e104..  - b314 + b321 =G= 0;

e105..  - b287 + b314 =G= 0;

e106..    b205 - b260 =G= 0;

e107..    b258 - b320 =G= 0;

e108..  - b165 + b320 =G= 0;

e109..  - b150 + b165 =G= 0;

e110..  - b142 + b150 =G= 0;

e111..    b158 - b304 =G= 0;

e112..  - b263 + b304 =G= 0;

e113..  - b240 + b263 =G= 0;

e114..  - b232 + b237 =G= 0;

e115..  - b144 + b232 =G= 0;

e116..    b144 - b196 =G= 0;

e117..    b196 - b308 =G= 0;

e118..    b129 - b136 =G= 0;

e119..  - b121 + b136 =G= 0;

e120..  - b119 + b121 =G= 0;

e121..  - b115 + b119 =G= 0;

e122..    b239 - b293 =G= 0;

e123..  - b174 + b293 =G= 0;

e124..  - b173 + b174 =G= 0;

e125..  - b212 + b217 =G= 0;

e126..    b212 - b215 =G= 0;

e127..    b215 - b315 =G= 0;

e128..  - b190 + b315 =G= 0;

e129..  - b378 + b394 =G= 0;

e130..  - b363 + b378 =G= 0;

e131..    b363 - b379 =G= 0;

e132..    b379 - b403 =G= 0;

e133..    b362 - b367 =G= 0;

e134..    b367 - b382 =G= 0;

e135..    b382 - b398 =G= 0;

e136..    b398 - b416 =G= 0;

e137..    b348 - b414 =G= 0;

e138..  - b358 + b414 =G= 0;

e139..    b358 - b412 =G= 0;

e140..  - b354 + b412 =G= 0;

e141..    b279 - b296 =G= 0;

e142..  - b261 + b296 =G= 0;

e143..  - b185 + b261 =G= 0;

e144..    b185 - b271 =G= 0;

e145..    b243 - b274 =G= 0;

e146..    b274 - b331 =G= 0;

e147..    b331 - b339 =G= 0;

e148..  - b337 + b339 =G= 0;

e149..  - b238 + b257 =G= 0;

e150..    b238 - b334 =G= 0;

e151..  - b210 + b334 =G= 0;

e152..    b210 - b222 =G= 0;

e153..  - b206 + b288 =G= 0;

e154..    b206 - b297 =G= 0;

e155..  - b295 + b297 =G= 0;

e156..    b295 - b310 =G= 0;

e157..    b192 - b262 =G= 0;

e158..  - b242 + b262 =G= 0;

e159..  - b231 + b242 =G= 0;

e160..    b231 - b307 =G= 0;

e161..  - b128 + b130 =G= 0;

e162..  - b120 + b128 =G= 0;

e163..    b120 - b127 =G= 0;

e164..    b127 - b140 =G= 0;

e165..  - b351 + b389 =G= 0;

e166..    b351 - b400 =G= 0;

e167..    b400 - b413 =G= 0;

e168..  - b396 + b413 =G= 0;

e169..  - b350 + b357 =G= 0;

e170..    b350 - b352 =G= 0;

e171..    b352 - b402 =G= 0;

e172..  - b395 + b402 =G= 0;

e173..  - b369 + b374 =G= 0;

e174..    b369 - b410 =G= 0;

e175..    b410 - b415 =G= 0;

e176..  - b365 + b415 =G= 0;

e177..    b356 - b388 =G= 0;

e178..    b388 - b417 =G= 0;

e179..  - b387 + b417 =G= 0;

e180..    b387 - b406 =G= 0;

e181..  - b349 + b404 =G= 0;

e182..    b349 - b397 =G= 0;

e183..    b397 - b399 =G= 0;

e184..    b399 - b401 =G= 0;

e185..  - b163 + b227 =G= 0;

e186..  - b146 + b163 =G= 0;

e187..    b146 - b195 =G= 0;

e188..  - b177 + b195 =G= 0;

e189..  - b164 + b171 =G= 0;

e190..    b164 - b230 =G= 0;

e191..    b166 - b276 =G= 0;

e192..  - b207 + b276 =G= 0;

e193..  - b180 + b207 =G= 0;

e194..    b180 - b335 =G= 0;

e195..  - b149 + b160 =G= 0;

e196..    b149 - b233 =G= 0;

e197..  - b211 + b233 =G= 0;

e198..  - b347 + b371 =G= 0;

e199..    b347 - b370 =G= 0;

e200..  - b346 + b370 =G= 0;

e201..    b346 - b405 =G= 0;

e202..  - b168 + b203 =G= 0;

e203..  - b153 + b168 =G= 0;

e204..    b153 - b204 =G= 0;

e205..    b204 - b317 =G= 0;

e206..    b312 - b327 =G= 0;

e207..  - b303 + b327 =G= 0;

e208..  - b285 + b303 =G= 0;

e209..    b285 - b306 =G= 0;

e210..    b159 - b176 =G= 0;

e211..    b176 - b329 =G= 0;

e212..  - b169 + b329 =G= 0;

e213..    b169 - b270 =G= 0;

e214..    b156 - b273 =G= 0;

e215..    b273 - b291 =G= 0;

e216..  - b145 + b291 =G= 0;

e217..    b145 - b220 =G= 0;

e218..    b189 - b209 =G= 0;

e219..  - b200 + b209 =G= 0;

e220..    b200 - b322 =G= 0;

e221..  - b256 + b322 =G= 0;

e222..    b198 - b259 =G= 0;

e223..    b259 - b282 =G= 0;

e224..  - b201 + b282 =G= 0;

e225..    b201 - b281 =G= 0;

e226..  - b228 + b244 =G= 0;

e227..    b228 - b253 =G= 0;

e228..    b253 - b313 =G= 0;

e229..  - b208 + b313 =G= 0;

e230..    b162 - b268 =G= 0;

e231..  - b251 + b268 =G= 0;

e232..    b251 - b292 =G= 0;

e233..  - b170 + b292 =G= 0;

e234..    b264 - b330 =G= 0;

e235..  - b280 + b330 =G= 0;

e236..  - b248 + b280 =G= 0;

e237..    b248 - b328 =G= 0;

e238..    b193 - b255 =G= 0;

e239..  - b225 + b255 =G= 0;

e240..  - b216 + b225 =G= 0;

e241..    b216 - b289 =G= 0;

e242..    b298 - b311 =G= 0;

e243..  - b194 + b311 =G= 0;

e244..    b194 - b305 =G= 0;

e245..  - b167 + b305 =G= 0;

e246..    b154 - b184 =G= 0;

e247..    b184 - b299 =G= 0;

e248..  - b191 + b299 =G= 0;

e249..    b191 - b229 =G= 0;

e250..    b147 - b186 =G= 0;

e251..    b186 - b223 =G= 0;

e252..    b223 - b323 =G= 0;

e253..  - b181 + b323 =G= 0;

e254..    b254 - b302 =G= 0;

e255..  - b250 + b302 =G= 0;

e256..    b250 - b252 =G= 0;

e257..  - b182 + b252 =G= 0;

e258..    b157 - b265 =G= 0;

e259..    b265 - b333 =G= 0;

e260..  - b152 + b333 =G= 0;

e261..    b152 - b226 =G= 0;

e262..  - b151 + b218 =G= 0;

e263..    b151 - b338 =G= 0;

e264..  - b316 + b338 =G= 0;

e265..  - b245 + b316 =G= 0;

e266..    b418 - b424 =G= 0;

e267..  - b419 + b424 =G= 0;

e268..    b419 - b423 =G= 0;

e269..    b423 - b426 =G= 0;

e270..  - b421 + b425 =G= 0;

e271..  - b420 + b421 =G= 0;

e272..    b420 - b422 =G= 0;

e273..    b422 - b427 =G= 0;

e274..  - b275 + b332 =G= 0;

e275..  - b246 + b275 =G= 0;

e276..    b246 - b326 =G= 0;

e277..  - b319 + b326 =G= 0;

e278..  - b301 + b324 =G= 0;

e279..  - b172 + b301 =G= 0;

e280..    b172 - b278 =G= 0;

e281..  - b161 + b278 =G= 0;

e282..  - b213 + b309 =G= 0;

e283..  - b188 + b213 =G= 0;

e284..    b188 - b300 =G= 0;

e285..  - b284 + b300 =G= 0;

e286..  - b179 + b249 =G= 0;

e287..  - b155 + b179 =G= 0;

e288..    b155 - b286 =G= 0;

e289..  - b266 + b286 =G= 0;

e290..  - b202 + b221 =G= 0;

e291..    b202 - b272 =G= 0;

e292..  - b234 + b272 =G= 0;

e293..  - b178 + b234 =G= 0;

e294..  - b117 + b133 =G= 0;

e295..    b117 - b134 =G= 0;

e296..  - b124 + b134 =G= 0;

e297..  - b122 + b124 =G= 0;

* set non-default bounds
x428.fx = 0;
x429.fx = 0;
x430.fx = 0;
x431.fx = 0;
x432.fx = 0;
x433.fx = 0;
x434.fx = 0;
x435.fx = 0;
x436.fx = 0;
x437.fx = 0;
x438.fx = 0;
x439.fx = 0;
x440.fx = 0;
x441.fx = 0;
x442.fx = 0;
x443.fx = 0;
x444.fx = 0;
x445.fx = 0;
x446.fx = 0;
x447.fx = 0;
x448.fx = 0;
x449.fx = 0;
x450.fx = 0;
x451.fx = 0;
x452.fx = 0;
x453.fx = 0;
x454.fx = 0;
x455.fx = 0;
x456.fx = 0;
x457.fx = 0;
x458.fx = 0;
x459.fx = 0;
x460.fx = 0;
x461.fx = 0;
x462.fx = 0;
x463.fx = 0;
x464.fx = 0;
x465.fx = 0;
x466.fx = 0;
x467.fx = 0;
x468.fx = 0;
x469.fx = 0;
x470.fx = 0;
x471.fx = 0;
x472.fx = 0;
x473.fx = 0;
x474.fx = 0;
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;

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: 2019-06-04 Git hash: 78444eaa
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