#  MINLP written by GAMS Convert at 08/26/20 11:33:01
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        295       21        0      274        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        246      196       50        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        984      784      200        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b1 binary >= 0, <= 1;
var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var b26 binary >= 0, <= 1;
var b27 binary >= 0, <= 1;
var b28 binary >= 0, <= 1;
var b29 binary >= 0, <= 1;
var b30 binary >= 0, <= 1;
var b31 binary >= 0, <= 1;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary >= 0, <= 1;
var b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var x51 >= 0, <= 10;
var x52 >= 0, <= 10;
var x53 >= 0, <= 10;
var x54 >= 0, <= 10;
var x55 >= 0, <= 10;
var x56 >= 0, <= 10;
var x57 >= 0, <= 10;
var x58 >= 0, <= 10;
var x59 >= 0, <= 10;
var x60 >= 0, <= 10;
var x61 >= 0, <= 10;
var x62 >= 0, <= 10;
var x63 >= 0, <= 10;
var x64 >= 0, <= 10;
var x65 >= 0, <= 10;
var x66 >= 0, <= 10;
var x67 >= 0, <= 10;
var x68 >= 0, <= 10;
var x69 >= 0, <= 10;
var x70 >= 0, <= 10;
var x71 >= 0, <= 10;
var x72 >= 0, <= 10;
var x73 >= 0, <= 10;
var x74 >= 0, <= 10;
var x75 >= 0, <= 10;
var x76 >= 0, <= 10;
var x77 >= 0, <= 10;
var x78 >= 0, <= 10;
var x79 >= 0, <= 10;
var x80 >= 0, <= 10;
var x81 >= 0, <= 10;
var x82 >= 0, <= 10;
var x83 >= 0, <= 10;
var x84 >= 0, <= 10;
var x85 >= 0, <= 10;
var x86 >= 0, <= 10;
var x87 >= 0, <= 10;
var x88 >= 0, <= 10;
var x89 >= 0, <= 10;
var x90 >= 0, <= 10;
var x91 >= 0, <= 10;
var x92 >= 0, <= 10;
var x93 >= 0, <= 10;
var x94 >= 0, <= 10;
var x95 >= 0, <= 10;
var x96 >= 0, <= 10;
var x97 >= 0, <= 10;
var x98 >= 0, <= 10;
var x99 >= 0, <= 10;
var x100 >= 0, <= 10;
var x101 >= 0, <= 10;
var x102 >= 0, <= 10;
var x103 >= 0, <= 10;
var x104 >= 0, <= 10;
var x105 >= 0, <= 10;
var x106 >= 0, <= 10;
var x107 >= 0, <= 10;
var x108 >= 0, <= 10;
var x109 >= 0, <= 10;
var x110 >= 0, <= 10;
var x111 >= 0, <= 10;
var x112 >= 0, <= 10;
var x113 >= 0, <= 10;
var x114 >= 0, <= 10;
var x115 >= 0, <= 10;
var x116 >= 0, <= 10;
var x117 >= 0, <= 10;
var x118 >= 0, <= 10;
var x119 >= 0, <= 10;
var x120 >= 0, <= 10;
var x121 >= 0, <= 10;
var x122 >= 0, <= 10;
var x123 >= 0, <= 10;
var x124 >= 0, <= 10;
var x125 >= 0, <= 10;
var x126 >= 0, <= 10;
var x127 >= 0, <= 10;
var x128 >= 0, <= 10;
var x129 >= 0, <= 10;
var x130 >= 0, <= 10;
var x131 >= 0, <= 10;
var x132 >= 0, <= 10;
var x133 >= 0, <= 10;
var x134 >= 0, <= 10;
var x135 >= 0, <= 10;
var x136 >= 0, <= 10;
var x137 >= 0, <= 10;
var x138 >= 0, <= 10;
var x139 >= 0, <= 10;
var x140 >= 0, <= 10;
var x141 >= 0, <= 10;
var x142 >= 0, <= 10;
var x143 >= 0, <= 10;
var x144 >= 0, <= 10;
var x145 >= 0, <= 10;
var x146 >= 0, <= 10;
var x147 >= 0, <= 10;
var x148 >= 0, <= 10;
var x149 >= 0, <= 10;
var x150 >= 0, <= 10;
var x151 >= 0, <= 10;
var x152 >= 0, <= 10;
var x153 >= 0, <= 10;
var x154 >= 0, <= 10;
var x155 >= 0, <= 10;
var x156 >= 0, <= 10;
var x157 >= 0, <= 10;
var x158 >= 0, <= 10;
var x159 >= 0, <= 10;
var x160 >= 0, <= 10;
var x161 >= 0, <= 10;
var x162 >= 0, <= 10;
var x163 >= 0, <= 10;
var x164 >= 0, <= 10;
var x165 >= 0, <= 10;
var x166 >= 0, <= 10;
var x167 >= 0, <= 10;
var x168 >= 0, <= 10;
var x169 >= 0, <= 10;
var x170 >= 0, <= 10;
var x171 >= 0, <= 10;
var x172 >= 0, <= 10;
var x173 >= 0, <= 10;
var x174 >= 0, <= 10;
var x175 >= 0, <= 10;
var x176 >= 0, <= 10;
var x177 >= 0, <= 10;
var x178 >= 0, <= 10;
var x179 >= 0, <= 10;
var x180 >= 0, <= 10;
var x181 >= 0, <= 10;
var x182 >= 0, <= 10;
var x183 >= 0, <= 10;
var x184 >= 0, <= 10;
var x185 >= 0, <= 10;
var x186 >= 0, <= 10;
var x187 >= 0, <= 10;
var x188 >= 0, <= 10;
var x189 >= 0, <= 10;
var x190 >= 0, <= 10;
var x191 >= 0, <= 10;
var x192 >= 0, <= 10;
var x193 >= 0, <= 10;
var x194 >= 0, <= 10;
var x195 >= 0, <= 10;
var x196 >= 0, <= 10;
var x197 >= 0, <= 10;
var x198 >= 0, <= 10;
var x199 >= 0, <= 10;
var x200 >= 0, <= 10;
var x201 >= 0, <= 10;
var x202 >= 0, <= 10;
var x203 >= 0, <= 10;
var x204 >= 0, <= 10;
var x205 >= 0, <= 10;
var x206 >= 0, <= 10;
var x207 >= 0, <= 10;
var x208 >= 0, <= 10;
var x209 >= 0, <= 10;
var x210 >= 0, <= 10;
var x211 >= 0, <= 10;
var x212 >= 0, <= 10;
var x213 >= 0, <= 10;
var x214 >= 0, <= 10;
var x215 >= 0, <= 10;
var x216 >= 0, <= 10;
var x217 >= 0, <= 10;
var x218 >= 0, <= 10;
var x219 >= 0, <= 10;
var x220 >= 0, <= 10;
var x221 >= 0, <= 10;
var x222 >= 0, <= 10;
var x223 >= 0, <= 10;
var x224 >= 0, <= 10;
var x225 >= 0, <= 10;
var x226 >= 0, <= 10;
var x227 >= 0, <= 10;
var x228 >= 0, <= 10;
var x229 >= 0, <= 10;
var x230 >= 0, <= 10;
var x231 >= 0, <= 10;
var x232 >= 0, <= 10;
var x233 >= 0, <= 10;
var x234 >= 0, <= 10;
var x235 >= 0, <= 10;
var x236 >= 0, <= 10;
var x237 >= 0, <= 10;
var x238 >= 0, <= 10;
var x239 >= 0, <= 10;
var x240 >= 0, <= 10;
var x241 >= 0, <= 10;
var x242 >= 0, <= 10;
var x243 >= 0, <= 10;
var x244 >= 0, <= 10;
var x245 >= 0, <= 10;

minimize obj:    x53 + x56 + x59 + x61 + x63 + x65 + x67 + x69 + x71 + x73
     + x75 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87
     + x88 + x89 + x90 + x91 + x92 + x93 + x94 + x95;

subject to

e1:    x51 - x52 - x53 <= 0;

e2:  - x51 + x52 - x53 <= 0;

e3:    x54 - x55 - x56 <= 0;

e4:  - x54 + x55 - x56 <= 0;

e5:    x57 - x58 - x59 <= 0;

e6:  - x57 + x58 - x59 <= 0;

e7:    x51 - x60 - x61 <= 0;

e8:  - x51 + x60 - x61 <= 0;

e9:    x54 - x62 - x63 <= 0;

e10:  - x54 + x62 - x63 <= 0;

e11:    x57 - x64 - x65 <= 0;

e12:  - x57 + x64 - x65 <= 0;

e13:    x51 - x66 - x67 <= 0;

e14:  - x51 + x66 - x67 <= 0;

e15:    x54 - x68 - x69 <= 0;

e16:  - x54 + x68 - x69 <= 0;

e17:    x57 - x70 - x71 <= 0;

e18:  - x57 + x70 - x71 <= 0;

e19:    x51 - x72 - x73 <= 0;

e20:  - x51 + x72 - x73 <= 0;

e21:    x54 - x74 - x75 <= 0;

e22:  - x54 + x74 - x75 <= 0;

e23:    x57 - x76 - x77 <= 0;

e24:  - x57 + x76 - x77 <= 0;

e25:    x52 - x60 - x78 <= 0;

e26:  - x52 + x60 - x78 <= 0;

e27:    x55 - x62 - x79 <= 0;

e28:  - x55 + x62 - x79 <= 0;

e29:    x58 - x64 - x80 <= 0;

e30:  - x58 + x64 - x80 <= 0;

e31:    x52 - x66 - x81 <= 0;

e32:  - x52 + x66 - x81 <= 0;

e33:    x55 - x68 - x82 <= 0;

e34:  - x55 + x68 - x82 <= 0;

e35:    x58 - x70 - x83 <= 0;

e36:  - x58 + x70 - x83 <= 0;

e37:    x52 - x72 - x84 <= 0;

e38:  - x52 + x72 - x84 <= 0;

e39:    x55 - x74 - x85 <= 0;

e40:  - x55 + x74 - x85 <= 0;

e41:    x58 - x76 - x86 <= 0;

e42:  - x58 + x76 - x86 <= 0;

e43:    x60 - x66 - x87 <= 0;

e44:  - x60 + x66 - x87 <= 0;

e45:    x62 - x68 - x88 <= 0;

e46:  - x62 + x68 - x88 <= 0;

e47:    x64 - x70 - x89 <= 0;

e48:  - x64 + x70 - x89 <= 0;

e49:    x60 - x72 - x90 <= 0;

e50:  - x60 + x72 - x90 <= 0;

e51:    x62 - x74 - x91 <= 0;

e52:  - x62 + x74 - x91 <= 0;

e53:    x64 - x76 - x92 <= 0;

e54:  - x64 + x76 - x92 <= 0;

e55:    x66 - x72 - x93 <= 0;

e56:  - x66 + x72 - x93 <= 0;

e57:    x68 - x74 - x94 <= 0;

e58:  - x68 + x74 - x94 <= 0;

e59:    x70 - x76 - x95 <= 0;

e60:  - x70 + x76 - x95 <= 0;

e61: (-1 + (3.55441530772447 - x96/(0.0001 + 0.9999*b1))^2 + (2.6588399811956
      - x97/(0.0001 + 0.9999*b1))^2 + (5.16713392802669 - x98/(0.0001 + 0.9999*
     b1))^2)*(0.0001 + 0.9999*b1) + 0.00454025712555548*b1
      <= 0.00454025712555548;

e62: (-1 + (8.82094045941646 - x99/(0.0001 + 0.9999*b2))^2 + (9.51816335093057
      - x100/(0.0001 + 0.9999*b2))^2 + (0.894770759747333 - x101/(0.0001 + 
     0.9999*b2))^2)*(0.0001 + 0.9999*b2) + 0.0168205038876067*b2
      <= 0.0168205038876067;

e63: (-1 + (6.86229591973038 - x102/(0.0001 + 0.9999*b3))^2 + (4.74665709736901
      - x103/(0.0001 + 0.9999*b3))^2 + (1.14651582775383 - x104/(0.0001 + 
     0.9999*b3))^2)*(0.0001 + 0.9999*b3) + 0.0069936357433242*b3
      <= 0.0069936357433242;

e64: (-1 + (7.13880287505566 - x105/(0.0001 + 0.9999*b4))^2 + (
     0.923639199248324 - x106/(0.0001 + 0.9999*b4))^2 + (5.06906794010293 - 
     x107/(0.0001 + 0.9999*b4))^2)*(0.0001 + 0.9999*b4) + 0.00765110656406704*
     b4 <= 0.00765110656406704;

e65: (-1 + (9.54873475130122 - x108/(0.0001 + 0.9999*b5))^2 + (9.730708594994
      - x109/(0.0001 + 0.9999*b5))^2 + (0.506682101270036 - x110/(0.0001 + 
     0.9999*b5))^2)*(0.0001 + 0.9999*b5) + 0.0185121751863145*b5
      <= 0.0185121751863145;

e66: (-1 + (2.60295575976191 - x111/(0.0001 + 0.9999*b6))^2 + (9.60525309364094
      - x112/(0.0001 + 0.9999*b6))^2 + (5.33059723504087 - x113/(0.0001 + 
     0.9999*b6))^2)*(0.0001 + 0.9999*b6) + 0.0126451532562402*b6
      <= 0.0126451532562402;

e67: (-1 + (8.7489239697277 - x114/(0.0001 + 0.9999*b7))^2 + (6.42418905563567
      - x115/(0.0001 + 0.9999*b7))^2 + (6.53764526999883 - x116/(0.0001 + 
     0.9999*b7))^2)*(0.0001 + 0.9999*b7) + 0.0159554681326963*b7
      <= 0.0159554681326963;

e68: (-1 + (2.98069751112782 - x117/(0.0001 + 0.9999*b8))^2 + (1.4913715136506
      - x118/(0.0001 + 0.9999*b8))^2 + (2.04987567063475 - x119/(0.0001 + 
     0.9999*b8))^2)*(0.0001 + 0.9999*b8) + 0.00143107369096323*b8
      <= 0.00143107369096323;

e69: (-1 + (1.65791995565741 - x120/(0.0001 + 0.9999*b9))^2 + (6.17322651944292
      - x121/(0.0001 + 0.9999*b9))^2 + (7.01412219987569 - x122/(0.0001 + 
     0.9999*b9))^2)*(0.0001 + 0.9999*b9) + 0.00890553344745093*b9
      <= 0.00890553344745093;

e70: (-1 + (2.41953526971379 - x123/(0.0001 + 0.9999*b10))^2 + (
     1.09500973629707 - x124/(0.0001 + 0.9999*b10))^2 + (2.60189595048839 - 
     x125/(0.0001 + 0.9999*b10))^2)*(0.0001 + 0.9999*b10) + 0.00128230597811422
     *b10 <= 0.00128230597811422;

e71:    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 = 1;

e72: (-1 + (3.55441530772447 - x126/(0.0001 + 0.9999*b11))^2 + (2.6588399811956
      - x127/(0.0001 + 0.9999*b11))^2 + (5.16713392802669 - x128/(0.0001 + 
     0.9999*b11))^2)*(0.0001 + 0.9999*b11) + 0.00454025712555548*b11
      <= 0.00454025712555548;

e73: (-1 + (8.82094045941646 - x129/(0.0001 + 0.9999*b12))^2 + (
     9.51816335093057 - x130/(0.0001 + 0.9999*b12))^2 + (0.894770759747333 - 
     x131/(0.0001 + 0.9999*b12))^2)*(0.0001 + 0.9999*b12) + 0.0168205038876067*
     b12 <= 0.0168205038876067;

e74: (-1 + (6.86229591973038 - x132/(0.0001 + 0.9999*b13))^2 + (
     4.74665709736901 - x133/(0.0001 + 0.9999*b13))^2 + (1.14651582775383 - 
     x134/(0.0001 + 0.9999*b13))^2)*(0.0001 + 0.9999*b13) + 0.0069936357433242*
     b13 <= 0.0069936357433242;

e75: (-1 + (7.13880287505566 - x135/(0.0001 + 0.9999*b14))^2 + (
     0.923639199248324 - x136/(0.0001 + 0.9999*b14))^2 + (5.06906794010293 - 
     x137/(0.0001 + 0.9999*b14))^2)*(0.0001 + 0.9999*b14) + 0.00765110656406704
     *b14 <= 0.00765110656406704;

e76: (-1 + (9.54873475130122 - x138/(0.0001 + 0.9999*b15))^2 + (9.730708594994
      - x139/(0.0001 + 0.9999*b15))^2 + (0.506682101270036 - x140/(0.0001 + 
     0.9999*b15))^2)*(0.0001 + 0.9999*b15) + 0.0185121751863145*b15
      <= 0.0185121751863145;

e77: (-1 + (2.60295575976191 - x141/(0.0001 + 0.9999*b16))^2 + (
     9.60525309364094 - x142/(0.0001 + 0.9999*b16))^2 + (5.33059723504087 - 
     x143/(0.0001 + 0.9999*b16))^2)*(0.0001 + 0.9999*b16) + 0.0126451532562402*
     b16 <= 0.0126451532562402;

e78: (-1 + (8.7489239697277 - x144/(0.0001 + 0.9999*b17))^2 + (6.42418905563567
      - x145/(0.0001 + 0.9999*b17))^2 + (6.53764526999883 - x146/(0.0001 + 
     0.9999*b17))^2)*(0.0001 + 0.9999*b17) + 0.0159554681326963*b17
      <= 0.0159554681326963;

e79: (-1 + (2.98069751112782 - x147/(0.0001 + 0.9999*b18))^2 + (1.4913715136506
      - x148/(0.0001 + 0.9999*b18))^2 + (2.04987567063475 - x149/(0.0001 + 
     0.9999*b18))^2)*(0.0001 + 0.9999*b18) + 0.00143107369096323*b18
      <= 0.00143107369096323;

e80: (-1 + (1.65791995565741 - x150/(0.0001 + 0.9999*b19))^2 + (
     6.17322651944292 - x151/(0.0001 + 0.9999*b19))^2 + (7.01412219987569 - 
     x152/(0.0001 + 0.9999*b19))^2)*(0.0001 + 0.9999*b19) + 0.00890553344745093
     *b19 <= 0.00890553344745093;

e81: (-1 + (2.41953526971379 - x153/(0.0001 + 0.9999*b20))^2 + (
     1.09500973629707 - x154/(0.0001 + 0.9999*b20))^2 + (2.60189595048839 - 
     x155/(0.0001 + 0.9999*b20))^2)*(0.0001 + 0.9999*b20) + 0.00128230597811422
     *b20 <= 0.00128230597811422;

e82:    b11 + b12 + b13 + b14 + b15 + b16 + b17 + b18 + b19 + b20 = 1;

e83: (-1 + (3.55441530772447 - x156/(0.0001 + 0.9999*b21))^2 + (2.6588399811956
      - x157/(0.0001 + 0.9999*b21))^2 + (5.16713392802669 - x158/(0.0001 + 
     0.9999*b21))^2)*(0.0001 + 0.9999*b21) + 0.00454025712555548*b21
      <= 0.00454025712555548;

e84: (-1 + (8.82094045941646 - x159/(0.0001 + 0.9999*b22))^2 + (
     9.51816335093057 - x160/(0.0001 + 0.9999*b22))^2 + (0.894770759747333 - 
     x161/(0.0001 + 0.9999*b22))^2)*(0.0001 + 0.9999*b22) + 0.0168205038876067*
     b22 <= 0.0168205038876067;

e85: (-1 + (6.86229591973038 - x162/(0.0001 + 0.9999*b23))^2 + (
     4.74665709736901 - x163/(0.0001 + 0.9999*b23))^2 + (1.14651582775383 - 
     x164/(0.0001 + 0.9999*b23))^2)*(0.0001 + 0.9999*b23) + 0.0069936357433242*
     b23 <= 0.0069936357433242;

e86: (-1 + (7.13880287505566 - x165/(0.0001 + 0.9999*b24))^2 + (
     0.923639199248324 - x166/(0.0001 + 0.9999*b24))^2 + (5.06906794010293 - 
     x167/(0.0001 + 0.9999*b24))^2)*(0.0001 + 0.9999*b24) + 0.00765110656406704
     *b24 <= 0.00765110656406704;

e87: (-1 + (9.54873475130122 - x168/(0.0001 + 0.9999*b25))^2 + (9.730708594994
      - x169/(0.0001 + 0.9999*b25))^2 + (0.506682101270036 - x170/(0.0001 + 
     0.9999*b25))^2)*(0.0001 + 0.9999*b25) + 0.0185121751863145*b25
      <= 0.0185121751863145;

e88: (-1 + (2.60295575976191 - x171/(0.0001 + 0.9999*b26))^2 + (
     9.60525309364094 - x172/(0.0001 + 0.9999*b26))^2 + (5.33059723504087 - 
     x173/(0.0001 + 0.9999*b26))^2)*(0.0001 + 0.9999*b26) + 0.0126451532562402*
     b26 <= 0.0126451532562402;

e89: (-1 + (8.7489239697277 - x174/(0.0001 + 0.9999*b27))^2 + (6.42418905563567
      - x175/(0.0001 + 0.9999*b27))^2 + (6.53764526999883 - x176/(0.0001 + 
     0.9999*b27))^2)*(0.0001 + 0.9999*b27) + 0.0159554681326963*b27
      <= 0.0159554681326963;

e90: (-1 + (2.98069751112782 - x177/(0.0001 + 0.9999*b28))^2 + (1.4913715136506
      - x178/(0.0001 + 0.9999*b28))^2 + (2.04987567063475 - x179/(0.0001 + 
     0.9999*b28))^2)*(0.0001 + 0.9999*b28) + 0.00143107369096323*b28
      <= 0.00143107369096323;

e91: (-1 + (1.65791995565741 - x180/(0.0001 + 0.9999*b29))^2 + (
     6.17322651944292 - x181/(0.0001 + 0.9999*b29))^2 + (7.01412219987569 - 
     x182/(0.0001 + 0.9999*b29))^2)*(0.0001 + 0.9999*b29) + 0.00890553344745093
     *b29 <= 0.00890553344745093;

e92: (-1 + (2.41953526971379 - x183/(0.0001 + 0.9999*b30))^2 + (
     1.09500973629707 - x184/(0.0001 + 0.9999*b30))^2 + (2.60189595048839 - 
     x185/(0.0001 + 0.9999*b30))^2)*(0.0001 + 0.9999*b30) + 0.00128230597811422
     *b30 <= 0.00128230597811422;

e93:    b21 + b22 + b23 + b24 + b25 + b26 + b27 + b28 + b29 + b30 = 1;

e94: (-1 + (3.55441530772447 - x186/(0.0001 + 0.9999*b31))^2 + (2.6588399811956
      - x187/(0.0001 + 0.9999*b31))^2 + (5.16713392802669 - x188/(0.0001 + 
     0.9999*b31))^2)*(0.0001 + 0.9999*b31) + 0.00454025712555548*b31
      <= 0.00454025712555548;

e95: (-1 + (8.82094045941646 - x189/(0.0001 + 0.9999*b32))^2 + (
     9.51816335093057 - x190/(0.0001 + 0.9999*b32))^2 + (0.894770759747333 - 
     x191/(0.0001 + 0.9999*b32))^2)*(0.0001 + 0.9999*b32) + 0.0168205038876067*
     b32 <= 0.0168205038876067;

e96: (-1 + (6.86229591973038 - x192/(0.0001 + 0.9999*b33))^2 + (
     4.74665709736901 - x193/(0.0001 + 0.9999*b33))^2 + (1.14651582775383 - 
     x194/(0.0001 + 0.9999*b33))^2)*(0.0001 + 0.9999*b33) + 0.0069936357433242*
     b33 <= 0.0069936357433242;

e97: (-1 + (7.13880287505566 - x195/(0.0001 + 0.9999*b34))^2 + (
     0.923639199248324 - x196/(0.0001 + 0.9999*b34))^2 + (5.06906794010293 - 
     x197/(0.0001 + 0.9999*b34))^2)*(0.0001 + 0.9999*b34) + 0.00765110656406704
     *b34 <= 0.00765110656406704;

e98: (-1 + (9.54873475130122 - x198/(0.0001 + 0.9999*b35))^2 + (9.730708594994
      - x199/(0.0001 + 0.9999*b35))^2 + (0.506682101270036 - x200/(0.0001 + 
     0.9999*b35))^2)*(0.0001 + 0.9999*b35) + 0.0185121751863145*b35
      <= 0.0185121751863145;

e99: (-1 + (2.60295575976191 - x201/(0.0001 + 0.9999*b36))^2 + (
     9.60525309364094 - x202/(0.0001 + 0.9999*b36))^2 + (5.33059723504087 - 
     x203/(0.0001 + 0.9999*b36))^2)*(0.0001 + 0.9999*b36) + 0.0126451532562402*
     b36 <= 0.0126451532562402;

e100: (-1 + (8.7489239697277 - x204/(0.0001 + 0.9999*b37))^2 + (
      6.42418905563567 - x205/(0.0001 + 0.9999*b37))^2 + (6.53764526999883 - 
      x206/(0.0001 + 0.9999*b37))^2)*(0.0001 + 0.9999*b37) + 0.0159554681326963
      *b37 <= 0.0159554681326963;

e101: (-1 + (2.98069751112782 - x207/(0.0001 + 0.9999*b38))^2 + (
      1.4913715136506 - x208/(0.0001 + 0.9999*b38))^2 + (2.04987567063475 - 
      x209/(0.0001 + 0.9999*b38))^2)*(0.0001 + 0.9999*b38) + 
      0.00143107369096323*b38 <= 0.00143107369096323;

e102: (-1 + (1.65791995565741 - x210/(0.0001 + 0.9999*b39))^2 + (
      6.17322651944292 - x211/(0.0001 + 0.9999*b39))^2 + (7.01412219987569 - 
      x212/(0.0001 + 0.9999*b39))^2)*(0.0001 + 0.9999*b39) + 
      0.00890553344745093*b39 <= 0.00890553344745093;

e103: (-1 + (2.41953526971379 - x213/(0.0001 + 0.9999*b40))^2 + (
      1.09500973629707 - x214/(0.0001 + 0.9999*b40))^2 + (2.60189595048839 - 
      x215/(0.0001 + 0.9999*b40))^2)*(0.0001 + 0.9999*b40) + 
      0.00128230597811422*b40 <= 0.00128230597811422;

e104:    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 = 1;

e105: (-1 + (3.55441530772447 - x216/(0.0001 + 0.9999*b41))^2 + (
      2.6588399811956 - x217/(0.0001 + 0.9999*b41))^2 + (5.16713392802669 - 
      x218/(0.0001 + 0.9999*b41))^2)*(0.0001 + 0.9999*b41) + 
      0.00454025712555548*b41 <= 0.00454025712555548;

e106: (-1 + (8.82094045941646 - x219/(0.0001 + 0.9999*b42))^2 + (
      9.51816335093057 - x220/(0.0001 + 0.9999*b42))^2 + (0.894770759747333 - 
      x221/(0.0001 + 0.9999*b42))^2)*(0.0001 + 0.9999*b42) + 0.0168205038876067
      *b42 <= 0.0168205038876067;

e107: (-1 + (6.86229591973038 - x222/(0.0001 + 0.9999*b43))^2 + (
      4.74665709736901 - x223/(0.0001 + 0.9999*b43))^2 + (1.14651582775383 - 
      x224/(0.0001 + 0.9999*b43))^2)*(0.0001 + 0.9999*b43) + 0.0069936357433242
      *b43 <= 0.0069936357433242;

e108: (-1 + (7.13880287505566 - x225/(0.0001 + 0.9999*b44))^2 + (
      0.923639199248324 - x226/(0.0001 + 0.9999*b44))^2 + (5.06906794010293 - 
      x227/(0.0001 + 0.9999*b44))^2)*(0.0001 + 0.9999*b44) + 
      0.00765110656406704*b44 <= 0.00765110656406704;

e109: (-1 + (9.54873475130122 - x228/(0.0001 + 0.9999*b45))^2 + (9.730708594994
       - x229/(0.0001 + 0.9999*b45))^2 + (0.506682101270036 - x230/(0.0001 + 
      0.9999*b45))^2)*(0.0001 + 0.9999*b45) + 0.0185121751863145*b45
       <= 0.0185121751863145;

e110: (-1 + (2.60295575976191 - x231/(0.0001 + 0.9999*b46))^2 + (
      9.60525309364094 - x232/(0.0001 + 0.9999*b46))^2 + (5.33059723504087 - 
      x233/(0.0001 + 0.9999*b46))^2)*(0.0001 + 0.9999*b46) + 0.0126451532562402
      *b46 <= 0.0126451532562402;

e111: (-1 + (8.7489239697277 - x234/(0.0001 + 0.9999*b47))^2 + (
      6.42418905563567 - x235/(0.0001 + 0.9999*b47))^2 + (6.53764526999883 - 
      x236/(0.0001 + 0.9999*b47))^2)*(0.0001 + 0.9999*b47) + 0.0159554681326963
      *b47 <= 0.0159554681326963;

e112: (-1 + (2.98069751112782 - x237/(0.0001 + 0.9999*b48))^2 + (
      1.4913715136506 - x238/(0.0001 + 0.9999*b48))^2 + (2.04987567063475 - 
      x239/(0.0001 + 0.9999*b48))^2)*(0.0001 + 0.9999*b48) + 
      0.00143107369096323*b48 <= 0.00143107369096323;

e113: (-1 + (1.65791995565741 - x240/(0.0001 + 0.9999*b49))^2 + (
      6.17322651944292 - x241/(0.0001 + 0.9999*b49))^2 + (7.01412219987569 - 
      x242/(0.0001 + 0.9999*b49))^2)*(0.0001 + 0.9999*b49) + 
      0.00890553344745093*b49 <= 0.00890553344745093;

e114: (-1 + (2.41953526971379 - x243/(0.0001 + 0.9999*b50))^2 + (
      1.09500973629707 - x244/(0.0001 + 0.9999*b50))^2 + (2.60189595048839 - 
      x245/(0.0001 + 0.9999*b50))^2)*(0.0001 + 0.9999*b50) + 
      0.00128230597811422*b50 <= 0.00128230597811422;

e115:    b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 = 1;

e116:    b1 + b11 + b21 + b31 + b41 <= 1;

e117:    b2 + b12 + b22 + b32 + b42 <= 1;

e118:    b3 + b13 + b23 + b33 + b43 <= 1;

e119:    b4 + b14 + b24 + b34 + b44 <= 1;

e120:    b5 + b15 + b25 + b35 + b45 <= 1;

e121:    b6 + b16 + b26 + b36 + b46 <= 1;

e122:    b7 + b17 + b27 + b37 + b47 <= 1;

e123:    b8 + b18 + b28 + b38 + b48 <= 1;

e124:    b9 + b19 + b29 + b39 + b49 <= 1;

e125:    b10 + b20 + b30 + b40 + b50 <= 1;

e126:  - x51 + x96 + x99 + x102 + x105 + x108 + x111 + x114 + x117 + x120
       + x123 = 0;

e127:  - x54 + x97 + x100 + x103 + x106 + x109 + x112 + x115 + x118 + x121
       + x124 = 0;

e128:  - x57 + x98 + x101 + x104 + x107 + x110 + x113 + x116 + x119 + x122
       + x125 = 0;

e129:  - x52 + x126 + x129 + x132 + x135 + x138 + x141 + x144 + x147 + x150
       + x153 = 0;

e130:  - x55 + x127 + x130 + x133 + x136 + x139 + x142 + x145 + x148 + x151
       + x154 = 0;

e131:  - x58 + x128 + x131 + x134 + x137 + x140 + x143 + x146 + x149 + x152
       + x155 = 0;

e132:  - x60 + x156 + x159 + x162 + x165 + x168 + x171 + x174 + x177 + x180
       + x183 = 0;

e133:  - x62 + x157 + x160 + x163 + x166 + x169 + x172 + x175 + x178 + x181
       + x184 = 0;

e134:  - x64 + x158 + x161 + x164 + x167 + x170 + x173 + x176 + x179 + x182
       + x185 = 0;

e135:  - x66 + x186 + x189 + x192 + x195 + x198 + x201 + x204 + x207 + x210
       + x213 = 0;

e136:  - x68 + x187 + x190 + x193 + x196 + x199 + x202 + x205 + x208 + x211
       + x214 = 0;

e137:  - x70 + x188 + x191 + x194 + x197 + x200 + x203 + x206 + x209 + x212
       + x215 = 0;

e138:  - x72 + x216 + x219 + x222 + x225 + x228 + x231 + x234 + x237 + x240
       + x243 = 0;

e139:  - x74 + x217 + x220 + x223 + x226 + x229 + x232 + x235 + x238 + x241
       + x244 = 0;

e140:  - x76 + x218 + x221 + x224 + x227 + x230 + x233 + x236 + x239 + x242
       + x245 = 0;

e141:  - 10*b1 + x96 <= 0;

e142:  - 10*b2 + x99 <= 0;

e143:  - 10*b3 + x102 <= 0;

e144:  - 10*b4 + x105 <= 0;

e145:  - 10*b5 + x108 <= 0;

e146:  - 10*b6 + x111 <= 0;

e147:  - 10*b7 + x114 <= 0;

e148:  - 10*b8 + x117 <= 0;

e149:  - 10*b9 + x120 <= 0;

e150:  - 10*b10 + x123 <= 0;

e151:  - 10*b1 + x97 <= 0;

e152:  - 10*b2 + x100 <= 0;

e153:  - 10*b3 + x103 <= 0;

e154:  - 10*b4 + x106 <= 0;

e155:  - 10*b5 + x109 <= 0;

e156:  - 10*b6 + x112 <= 0;

e157:  - 10*b7 + x115 <= 0;

e158:  - 10*b8 + x118 <= 0;

e159:  - 10*b9 + x121 <= 0;

e160:  - 10*b10 + x124 <= 0;

e161:  - 10*b1 + x98 <= 0;

e162:  - 10*b2 + x101 <= 0;

e163:  - 10*b3 + x104 <= 0;

e164:  - 10*b4 + x107 <= 0;

e165:  - 10*b5 + x110 <= 0;

e166:  - 10*b6 + x113 <= 0;

e167:  - 10*b7 + x116 <= 0;

e168:  - 10*b8 + x119 <= 0;

e169:  - 10*b9 + x122 <= 0;

e170:  - 10*b10 + x125 <= 0;

e171:  - 10*b11 + x126 <= 0;

e172:  - 10*b12 + x129 <= 0;

e173:  - 10*b13 + x132 <= 0;

e174:  - 10*b14 + x135 <= 0;

e175:  - 10*b15 + x138 <= 0;

e176:  - 10*b16 + x141 <= 0;

e177:  - 10*b17 + x144 <= 0;

e178:  - 10*b18 + x147 <= 0;

e179:  - 10*b19 + x150 <= 0;

e180:  - 10*b20 + x153 <= 0;

e181:  - 10*b11 + x127 <= 0;

e182:  - 10*b12 + x130 <= 0;

e183:  - 10*b13 + x133 <= 0;

e184:  - 10*b14 + x136 <= 0;

e185:  - 10*b15 + x139 <= 0;

e186:  - 10*b16 + x142 <= 0;

e187:  - 10*b17 + x145 <= 0;

e188:  - 10*b18 + x148 <= 0;

e189:  - 10*b19 + x151 <= 0;

e190:  - 10*b20 + x154 <= 0;

e191:  - 10*b11 + x128 <= 0;

e192:  - 10*b12 + x131 <= 0;

e193:  - 10*b13 + x134 <= 0;

e194:  - 10*b14 + x137 <= 0;

e195:  - 10*b15 + x140 <= 0;

e196:  - 10*b16 + x143 <= 0;

e197:  - 10*b17 + x146 <= 0;

e198:  - 10*b18 + x149 <= 0;

e199:  - 10*b19 + x152 <= 0;

e200:  - 10*b20 + x155 <= 0;

e201:  - 10*b21 + x156 <= 0;

e202:  - 10*b22 + x159 <= 0;

e203:  - 10*b23 + x162 <= 0;

e204:  - 10*b24 + x165 <= 0;

e205:  - 10*b25 + x168 <= 0;

e206:  - 10*b26 + x171 <= 0;

e207:  - 10*b27 + x174 <= 0;

e208:  - 10*b28 + x177 <= 0;

e209:  - 10*b29 + x180 <= 0;

e210:  - 10*b30 + x183 <= 0;

e211:  - 10*b21 + x157 <= 0;

e212:  - 10*b22 + x160 <= 0;

e213:  - 10*b23 + x163 <= 0;

e214:  - 10*b24 + x166 <= 0;

e215:  - 10*b25 + x169 <= 0;

e216:  - 10*b26 + x172 <= 0;

e217:  - 10*b27 + x175 <= 0;

e218:  - 10*b28 + x178 <= 0;

e219:  - 10*b29 + x181 <= 0;

e220:  - 10*b30 + x184 <= 0;

e221:  - 10*b21 + x158 <= 0;

e222:  - 10*b22 + x161 <= 0;

e223:  - 10*b23 + x164 <= 0;

e224:  - 10*b24 + x167 <= 0;

e225:  - 10*b25 + x170 <= 0;

e226:  - 10*b26 + x173 <= 0;

e227:  - 10*b27 + x176 <= 0;

e228:  - 10*b28 + x179 <= 0;

e229:  - 10*b29 + x182 <= 0;

e230:  - 10*b30 + x185 <= 0;

e231:  - 10*b31 + x186 <= 0;

e232:  - 10*b32 + x189 <= 0;

e233:  - 10*b33 + x192 <= 0;

e234:  - 10*b34 + x195 <= 0;

e235:  - 10*b35 + x198 <= 0;

e236:  - 10*b36 + x201 <= 0;

e237:  - 10*b37 + x204 <= 0;

e238:  - 10*b38 + x207 <= 0;

e239:  - 10*b39 + x210 <= 0;

e240:  - 10*b40 + x213 <= 0;

e241:  - 10*b31 + x187 <= 0;

e242:  - 10*b32 + x190 <= 0;

e243:  - 10*b33 + x193 <= 0;

e244:  - 10*b34 + x196 <= 0;

e245:  - 10*b35 + x199 <= 0;

e246:  - 10*b36 + x202 <= 0;

e247:  - 10*b37 + x205 <= 0;

e248:  - 10*b38 + x208 <= 0;

e249:  - 10*b39 + x211 <= 0;

e250:  - 10*b40 + x214 <= 0;

e251:  - 10*b31 + x188 <= 0;

e252:  - 10*b32 + x191 <= 0;

e253:  - 10*b33 + x194 <= 0;

e254:  - 10*b34 + x197 <= 0;

e255:  - 10*b35 + x200 <= 0;

e256:  - 10*b36 + x203 <= 0;

e257:  - 10*b37 + x206 <= 0;

e258:  - 10*b38 + x209 <= 0;

e259:  - 10*b39 + x212 <= 0;

e260:  - 10*b40 + x215 <= 0;

e261:  - 10*b41 + x216 <= 0;

e262:  - 10*b42 + x219 <= 0;

e263:  - 10*b43 + x222 <= 0;

e264:  - 10*b44 + x225 <= 0;

e265:  - 10*b45 + x228 <= 0;

e266:  - 10*b46 + x231 <= 0;

e267:  - 10*b47 + x234 <= 0;

e268:  - 10*b48 + x237 <= 0;

e269:  - 10*b49 + x240 <= 0;

e270:  - 10*b50 + x243 <= 0;

e271:  - 10*b41 + x217 <= 0;

e272:  - 10*b42 + x220 <= 0;

e273:  - 10*b43 + x223 <= 0;

e274:  - 10*b44 + x226 <= 0;

e275:  - 10*b45 + x229 <= 0;

e276:  - 10*b46 + x232 <= 0;

e277:  - 10*b47 + x235 <= 0;

e278:  - 10*b48 + x238 <= 0;

e279:  - 10*b49 + x241 <= 0;

e280:  - 10*b50 + x244 <= 0;

e281:  - 10*b41 + x218 <= 0;

e282:  - 10*b42 + x221 <= 0;

e283:  - 10*b43 + x224 <= 0;

e284:  - 10*b44 + x227 <= 0;

e285:  - 10*b45 + x230 <= 0;

e286:  - 10*b46 + x233 <= 0;

e287:  - 10*b47 + x236 <= 0;

e288:  - 10*b48 + x239 <= 0;

e289:  - 10*b49 + x242 <= 0;

e290:  - 10*b50 + x245 <= 0;

e291:    x51 - x52 <= 0;

e292:    x52 - x60 <= 0;

e293:    x60 - x66 <= 0;

e294:    x66 - x72 <= 0;