#  MINLP written by GAMS Convert at 08/26/20 11:33:01
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        220       16        0      204        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        181      131       50        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        709      559      150        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;

minimize obj:    x53 + x56 + x58 + x60 + x62 + x64 + x66 + x68 + x69 + x70
     + x71 + x72 + x73 + x74 + x75 + x76 + x77 + x78 + x79 + x80;

subject to

e1:    x51 - x52 - x53 <= 0;

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

e3:    x54 - x55 - x56 <= 0;

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

e5:    x51 - x57 - x58 <= 0;

e6:  - x51 + x57 - x58 <= 0;

e7:    x54 - x59 - x60 <= 0;

e8:  - x54 + x59 - x60 <= 0;

e9:    x51 - x61 - x62 <= 0;

e10:  - x51 + x61 - x62 <= 0;

e11:    x54 - x63 - x64 <= 0;

e12:  - x54 + x63 - x64 <= 0;

e13:    x51 - x65 - x66 <= 0;

e14:  - x51 + x65 - x66 <= 0;

e15:    x54 - x67 - x68 <= 0;

e16:  - x54 + x67 - x68 <= 0;

e17:    x52 - x57 - x69 <= 0;

e18:  - x52 + x57 - x69 <= 0;

e19:    x55 - x59 - x70 <= 0;

e20:  - x55 + x59 - x70 <= 0;

e21:    x52 - x61 - x71 <= 0;

e22:  - x52 + x61 - x71 <= 0;

e23:    x55 - x63 - x72 <= 0;

e24:  - x55 + x63 - x72 <= 0;

e25:    x52 - x65 - x73 <= 0;

e26:  - x52 + x65 - x73 <= 0;

e27:    x55 - x67 - x74 <= 0;

e28:  - x55 + x67 - x74 <= 0;

e29:    x57 - x61 - x75 <= 0;

e30:  - x57 + x61 - x75 <= 0;

e31:    x59 - x63 - x76 <= 0;

e32:  - x59 + x63 - x76 <= 0;

e33:    x57 - x65 - x77 <= 0;

e34:  - x57 + x65 - x77 <= 0;

e35:    x59 - x67 - x78 <= 0;

e36:  - x59 + x67 - x78 <= 0;

e37:    x61 - x65 - x79 <= 0;

e38:  - x61 + x65 - x79 <= 0;

e39:    x63 - x67 - x80 <= 0;

e40:  - x63 + x67 - x80 <= 0;

e41: (-1 + (0.648386267690458 - x81/(0.0001 + 0.9999*b1))^2 + (5.34198386756466
      - x82/(0.0001 + 0.9999*b1))^2)*(0.0001 + 0.9999*b1) + 0.00279571963934506
     *b1 <= 0.00279571963934506;

e42: (-1 + (0.38028139143083 - x83/(0.0001 + 0.9999*b2))^2 + (4.79200736168083
      - x84/(0.0001 + 0.9999*b2))^2)*(0.0001 + 0.9999*b2) + 0.00221079484910719
     *b2 <= 0.00221079484910719;

e43: (-1 + (4.59553989190787 - x85/(0.0001 + 0.9999*b3))^2 + (2.92927044373959
      - x86/(0.0001 + 0.9999*b3))^2)*(0.0001 + 0.9999*b3) + 0.00286996122306829
     *b3 <= 0.00286996122306829;

e44: (-1 + (7.79089239319392 - x87/(0.0001 + 0.9999*b4))^2 + (3.09688601355012
      - x88/(0.0001 + 0.9999*b4))^2)*(0.0001 + 0.9999*b4) + 0.00692887072632492
     *b4 <= 0.00692887072632492;

e45: (-1 + (2.20597420581599 - x89/(0.0001 + 0.9999*b5))^2 + (0.880296019425143
      - x90/(0.0001 + 0.9999*b5))^2)*(0.0001 + 0.9999*b5) + 
     0.000464124327854123*b5 <= 0.000464124327854123;

e46: (-1 + (4.31093077060147 - x91/(0.0001 + 0.9999*b6))^2 + (5.42555328385657
      - x92/(0.0001 + 0.9999*b6))^2)*(0.0001 + 0.9999*b6) + 0.00470207525448854
     *b6 <= 0.00470207525448854;

e47: (-1 + (8.68776252232421 - x93/(0.0001 + 0.9999*b7))^2 + (7.42106012944621
      - x94/(0.0001 + 0.9999*b7))^2)*(0.0001 + 0.9999*b7) + 0.0129549351089157*
     b7 <= 0.0129549351089157;

e48: (-1 + (3.86794113528858 - x95/(0.0001 + 0.9999*b8))^2 + (9.34863265837716
      - x96/(0.0001 + 0.9999*b8))^2)*(0.0001 + 0.9999*b8) + 0.0101357901207334*
     b8 <= 0.0101357901207334;

e49: (-1 + (8.94294324678777 - x97/(0.0001 + 0.9999*b9))^2 + (0.712193380632226
      - x98/(0.0001 + 0.9999*b9))^2)*(0.0001 + 0.9999*b9) + 0.00794834533266834
     *b9 <= 0.00794834533266834;

e50: (-1 + (1.56734614217404 - x99/(0.0001 + 0.9999*b10))^2 + (5.6469805099144
      - x100/(0.0001 + 0.9999*b10))^2)*(0.0001 + 0.9999*b10) + 
     0.00333449628087409*b10 <= 0.00333449628087409;

e51:    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 = 1;

e52: (-1 + (0.648386267690458 - x101/(0.0001 + 0.9999*b11))^2 + (
     5.34198386756466 - x102/(0.0001 + 0.9999*b11))^2)*(0.0001 + 0.9999*b11) + 
     0.00279571963934506*b11 <= 0.00279571963934506;

e53: (-1 + (0.38028139143083 - x103/(0.0001 + 0.9999*b12))^2 + (
     4.79200736168083 - x104/(0.0001 + 0.9999*b12))^2)*(0.0001 + 0.9999*b12) + 
     0.00221079484910719*b12 <= 0.00221079484910719;

e54: (-1 + (4.59553989190787 - x105/(0.0001 + 0.9999*b13))^2 + (
     2.92927044373959 - x106/(0.0001 + 0.9999*b13))^2)*(0.0001 + 0.9999*b13) + 
     0.00286996122306829*b13 <= 0.00286996122306829;

e55: (-1 + (7.79089239319392 - x107/(0.0001 + 0.9999*b14))^2 + (
     3.09688601355012 - x108/(0.0001 + 0.9999*b14))^2)*(0.0001 + 0.9999*b14) + 
     0.00692887072632492*b14 <= 0.00692887072632492;

e56: (-1 + (2.20597420581599 - x109/(0.0001 + 0.9999*b15))^2 + (
     0.880296019425143 - x110/(0.0001 + 0.9999*b15))^2)*(0.0001 + 0.9999*b15)
      + 0.000464124327854123*b15 <= 0.000464124327854123;

e57: (-1 + (4.31093077060147 - x111/(0.0001 + 0.9999*b16))^2 + (
     5.42555328385657 - x112/(0.0001 + 0.9999*b16))^2)*(0.0001 + 0.9999*b16) + 
     0.00470207525448854*b16 <= 0.00470207525448854;

e58: (-1 + (8.68776252232421 - x113/(0.0001 + 0.9999*b17))^2 + (
     7.42106012944621 - x114/(0.0001 + 0.9999*b17))^2)*(0.0001 + 0.9999*b17) + 
     0.0129549351089157*b17 <= 0.0129549351089157;

e59: (-1 + (3.86794113528858 - x115/(0.0001 + 0.9999*b18))^2 + (
     9.34863265837716 - x116/(0.0001 + 0.9999*b18))^2)*(0.0001 + 0.9999*b18) + 
     0.0101357901207334*b18 <= 0.0101357901207334;

e60: (-1 + (8.94294324678777 - x117/(0.0001 + 0.9999*b19))^2 + (
     0.712193380632226 - x118/(0.0001 + 0.9999*b19))^2)*(0.0001 + 0.9999*b19)
      + 0.00794834533266834*b19 <= 0.00794834533266834;

e61: (-1 + (1.56734614217404 - x119/(0.0001 + 0.9999*b20))^2 + (5.6469805099144
      - x120/(0.0001 + 0.9999*b20))^2)*(0.0001 + 0.9999*b20) + 
     0.00333449628087409*b20 <= 0.00333449628087409;

e62:    b11 + b12 + b13 + b14 + b15 + b16 + b17 + b18 + b19 + b20 = 1;

e63: (-1 + (0.648386267690458 - x121/(0.0001 + 0.9999*b21))^2 + (
     5.34198386756466 - x122/(0.0001 + 0.9999*b21))^2)*(0.0001 + 0.9999*b21) + 
     0.00279571963934506*b21 <= 0.00279571963934506;

e64: (-1 + (0.38028139143083 - x123/(0.0001 + 0.9999*b22))^2 + (
     4.79200736168083 - x124/(0.0001 + 0.9999*b22))^2)*(0.0001 + 0.9999*b22) + 
     0.00221079484910719*b22 <= 0.00221079484910719;

e65: (-1 + (4.59553989190787 - x125/(0.0001 + 0.9999*b23))^2 + (
     2.92927044373959 - x126/(0.0001 + 0.9999*b23))^2)*(0.0001 + 0.9999*b23) + 
     0.00286996122306829*b23 <= 0.00286996122306829;

e66: (-1 + (7.79089239319392 - x127/(0.0001 + 0.9999*b24))^2 + (
     3.09688601355012 - x128/(0.0001 + 0.9999*b24))^2)*(0.0001 + 0.9999*b24) + 
     0.00692887072632492*b24 <= 0.00692887072632492;

e67: (-1 + (2.20597420581599 - x129/(0.0001 + 0.9999*b25))^2 + (
     0.880296019425143 - x130/(0.0001 + 0.9999*b25))^2)*(0.0001 + 0.9999*b25)
      + 0.000464124327854123*b25 <= 0.000464124327854123;

e68: (-1 + (4.31093077060147 - x131/(0.0001 + 0.9999*b26))^2 + (
     5.42555328385657 - x132/(0.0001 + 0.9999*b26))^2)*(0.0001 + 0.9999*b26) + 
     0.00470207525448854*b26 <= 0.00470207525448854;

e69: (-1 + (8.68776252232421 - x133/(0.0001 + 0.9999*b27))^2 + (
     7.42106012944621 - x134/(0.0001 + 0.9999*b27))^2)*(0.0001 + 0.9999*b27) + 
     0.0129549351089157*b27 <= 0.0129549351089157;

e70: (-1 + (3.86794113528858 - x135/(0.0001 + 0.9999*b28))^2 + (
     9.34863265837716 - x136/(0.0001 + 0.9999*b28))^2)*(0.0001 + 0.9999*b28) + 
     0.0101357901207334*b28 <= 0.0101357901207334;

e71: (-1 + (8.94294324678777 - x137/(0.0001 + 0.9999*b29))^2 + (
     0.712193380632226 - x138/(0.0001 + 0.9999*b29))^2)*(0.0001 + 0.9999*b29)
      + 0.00794834533266834*b29 <= 0.00794834533266834;

e72: (-1 + (1.56734614217404 - x139/(0.0001 + 0.9999*b30))^2 + (5.6469805099144
      - x140/(0.0001 + 0.9999*b30))^2)*(0.0001 + 0.9999*b30) + 
     0.00333449628087409*b30 <= 0.00333449628087409;

e73:    b21 + b22 + b23 + b24 + b25 + b26 + b27 + b28 + b29 + b30 = 1;

e74: (-1 + (0.648386267690458 - x141/(0.0001 + 0.9999*b31))^2 + (
     5.34198386756466 - x142/(0.0001 + 0.9999*b31))^2)*(0.0001 + 0.9999*b31) + 
     0.00279571963934506*b31 <= 0.00279571963934506;

e75: (-1 + (0.38028139143083 - x143/(0.0001 + 0.9999*b32))^2 + (
     4.79200736168083 - x144/(0.0001 + 0.9999*b32))^2)*(0.0001 + 0.9999*b32) + 
     0.00221079484910719*b32 <= 0.00221079484910719;

e76: (-1 + (4.59553989190787 - x145/(0.0001 + 0.9999*b33))^2 + (
     2.92927044373959 - x146/(0.0001 + 0.9999*b33))^2)*(0.0001 + 0.9999*b33) + 
     0.00286996122306829*b33 <= 0.00286996122306829;

e77: (-1 + (7.79089239319392 - x147/(0.0001 + 0.9999*b34))^2 + (
     3.09688601355012 - x148/(0.0001 + 0.9999*b34))^2)*(0.0001 + 0.9999*b34) + 
     0.00692887072632492*b34 <= 0.00692887072632492;

e78: (-1 + (2.20597420581599 - x149/(0.0001 + 0.9999*b35))^2 + (
     0.880296019425143 - x150/(0.0001 + 0.9999*b35))^2)*(0.0001 + 0.9999*b35)
      + 0.000464124327854123*b35 <= 0.000464124327854123;

e79: (-1 + (4.31093077060147 - x151/(0.0001 + 0.9999*b36))^2 + (
     5.42555328385657 - x152/(0.0001 + 0.9999*b36))^2)*(0.0001 + 0.9999*b36) + 
     0.00470207525448854*b36 <= 0.00470207525448854;

e80: (-1 + (8.68776252232421 - x153/(0.0001 + 0.9999*b37))^2 + (
     7.42106012944621 - x154/(0.0001 + 0.9999*b37))^2)*(0.0001 + 0.9999*b37) + 
     0.0129549351089157*b37 <= 0.0129549351089157;

e81: (-1 + (3.86794113528858 - x155/(0.0001 + 0.9999*b38))^2 + (
     9.34863265837716 - x156/(0.0001 + 0.9999*b38))^2)*(0.0001 + 0.9999*b38) + 
     0.0101357901207334*b38 <= 0.0101357901207334;

e82: (-1 + (8.94294324678777 - x157/(0.0001 + 0.9999*b39))^2 + (
     0.712193380632226 - x158/(0.0001 + 0.9999*b39))^2)*(0.0001 + 0.9999*b39)
      + 0.00794834533266834*b39 <= 0.00794834533266834;

e83: (-1 + (1.56734614217404 - x159/(0.0001 + 0.9999*b40))^2 + (5.6469805099144
      - x160/(0.0001 + 0.9999*b40))^2)*(0.0001 + 0.9999*b40) + 
     0.00333449628087409*b40 <= 0.00333449628087409;

e84:    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 = 1;

e85: (-1 + (0.648386267690458 - x161/(0.0001 + 0.9999*b41))^2 + (
     5.34198386756466 - x162/(0.0001 + 0.9999*b41))^2)*(0.0001 + 0.9999*b41) + 
     0.00279571963934506*b41 <= 0.00279571963934506;

e86: (-1 + (0.38028139143083 - x163/(0.0001 + 0.9999*b42))^2 + (
     4.79200736168083 - x164/(0.0001 + 0.9999*b42))^2)*(0.0001 + 0.9999*b42) + 
     0.00221079484910719*b42 <= 0.00221079484910719;

e87: (-1 + (4.59553989190787 - x165/(0.0001 + 0.9999*b43))^2 + (
     2.92927044373959 - x166/(0.0001 + 0.9999*b43))^2)*(0.0001 + 0.9999*b43) + 
     0.00286996122306829*b43 <= 0.00286996122306829;

e88: (-1 + (7.79089239319392 - x167/(0.0001 + 0.9999*b44))^2 + (
     3.09688601355012 - x168/(0.0001 + 0.9999*b44))^2)*(0.0001 + 0.9999*b44) + 
     0.00692887072632492*b44 <= 0.00692887072632492;

e89: (-1 + (2.20597420581599 - x169/(0.0001 + 0.9999*b45))^2 + (
     0.880296019425143 - x170/(0.0001 + 0.9999*b45))^2)*(0.0001 + 0.9999*b45)
      + 0.000464124327854123*b45 <= 0.000464124327854123;

e90: (-1 + (4.31093077060147 - x171/(0.0001 + 0.9999*b46))^2 + (
     5.42555328385657 - x172/(0.0001 + 0.9999*b46))^2)*(0.0001 + 0.9999*b46) + 
     0.00470207525448854*b46 <= 0.00470207525448854;

e91: (-1 + (8.68776252232421 - x173/(0.0001 + 0.9999*b47))^2 + (
     7.42106012944621 - x174/(0.0001 + 0.9999*b47))^2)*(0.0001 + 0.9999*b47) + 
     0.0129549351089157*b47 <= 0.0129549351089157;

e92: (-1 + (3.86794113528858 - x175/(0.0001 + 0.9999*b48))^2 + (
     9.34863265837716 - x176/(0.0001 + 0.9999*b48))^2)*(0.0001 + 0.9999*b48) + 
     0.0101357901207334*b48 <= 0.0101357901207334;

e93: (-1 + (8.94294324678777 - x177/(0.0001 + 0.9999*b49))^2 + (
     0.712193380632226 - x178/(0.0001 + 0.9999*b49))^2)*(0.0001 + 0.9999*b49)
      + 0.00794834533266834*b49 <= 0.00794834533266834;

e94: (-1 + (1.56734614217404 - x179/(0.0001 + 0.9999*b50))^2 + (5.6469805099144
      - x180/(0.0001 + 0.9999*b50))^2)*(0.0001 + 0.9999*b50) + 
     0.00333449628087409*b50 <= 0.00333449628087409;

e95:    b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 = 1;

e96:    b1 + b11 + b21 + b31 + b41 <= 1;

e97:    b2 + b12 + b22 + b32 + b42 <= 1;

e98:    b3 + b13 + b23 + b33 + b43 <= 1;

e99:    b4 + b14 + b24 + b34 + b44 <= 1;

e100:    b5 + b15 + b25 + b35 + b45 <= 1;

e101:    b6 + b16 + b26 + b36 + b46 <= 1;

e102:    b7 + b17 + b27 + b37 + b47 <= 1;

e103:    b8 + b18 + b28 + b38 + b48 <= 1;

e104:    b9 + b19 + b29 + b39 + b49 <= 1;

e105:    b10 + b20 + b30 + b40 + b50 <= 1;

e106:  - x51 + x81 + x83 + x85 + x87 + x89 + x91 + x93 + x95 + x97 + x99 = 0;

e107:  - x54 + x82 + x84 + x86 + x88 + x90 + x92 + x94 + x96 + x98 + x100 = 0;

e108:  - x52 + x101 + x103 + x105 + x107 + x109 + x111 + x113 + x115 + x117
       + x119 = 0;

e109:  - x55 + x102 + x104 + x106 + x108 + x110 + x112 + x114 + x116 + x118
       + x120 = 0;

e110:  - x57 + x121 + x123 + x125 + x127 + x129 + x131 + x133 + x135 + x137
       + x139 = 0;

e111:  - x59 + x122 + x124 + x126 + x128 + x130 + x132 + x134 + x136 + x138
       + x140 = 0;

e112:  - x61 + x141 + x143 + x145 + x147 + x149 + x151 + x153 + x155 + x157
       + x159 = 0;

e113:  - x63 + x142 + x144 + x146 + x148 + x150 + x152 + x154 + x156 + x158
       + x160 = 0;

e114:  - x65 + x161 + x163 + x165 + x167 + x169 + x171 + x173 + x175 + x177
       + x179 = 0;

e115:  - x67 + x162 + x164 + x166 + x168 + x170 + x172 + x174 + x176 + x178
       + x180 = 0;

e116:  - 10*b1 + x81 <= 0;

e117:  - 10*b2 + x83 <= 0;

e118:  - 10*b3 + x85 <= 0;

e119:  - 10*b4 + x87 <= 0;

e120:  - 10*b5 + x89 <= 0;

e121:  - 10*b6 + x91 <= 0;

e122:  - 10*b7 + x93 <= 0;

e123:  - 10*b8 + x95 <= 0;

e124:  - 10*b9 + x97 <= 0;

e125:  - 10*b10 + x99 <= 0;

e126:  - 10*b1 + x82 <= 0;

e127:  - 10*b2 + x84 <= 0;

e128:  - 10*b3 + x86 <= 0;

e129:  - 10*b4 + x88 <= 0;

e130:  - 10*b5 + x90 <= 0;

e131:  - 10*b6 + x92 <= 0;

e132:  - 10*b7 + x94 <= 0;

e133:  - 10*b8 + x96 <= 0;

e134:  - 10*b9 + x98 <= 0;

e135:  - 10*b10 + x100 <= 0;

e136:  - 10*b11 + x101 <= 0;

e137:  - 10*b12 + x103 <= 0;

e138:  - 10*b13 + x105 <= 0;

e139:  - 10*b14 + x107 <= 0;

e140:  - 10*b15 + x109 <= 0;

e141:  - 10*b16 + x111 <= 0;

e142:  - 10*b17 + x113 <= 0;

e143:  - 10*b18 + x115 <= 0;

e144:  - 10*b19 + x117 <= 0;

e145:  - 10*b20 + x119 <= 0;

e146:  - 10*b11 + x102 <= 0;

e147:  - 10*b12 + x104 <= 0;

e148:  - 10*b13 + x106 <= 0;

e149:  - 10*b14 + x108 <= 0;

e150:  - 10*b15 + x110 <= 0;

e151:  - 10*b16 + x112 <= 0;

e152:  - 10*b17 + x114 <= 0;

e153:  - 10*b18 + x116 <= 0;

e154:  - 10*b19 + x118 <= 0;

e155:  - 10*b20 + x120 <= 0;

e156:  - 10*b21 + x121 <= 0;

e157:  - 10*b22 + x123 <= 0;

e158:  - 10*b23 + x125 <= 0;

e159:  - 10*b24 + x127 <= 0;

e160:  - 10*b25 + x129 <= 0;

e161:  - 10*b26 + x131 <= 0;

e162:  - 10*b27 + x133 <= 0;

e163:  - 10*b28 + x135 <= 0;

e164:  - 10*b29 + x137 <= 0;

e165:  - 10*b30 + x139 <= 0;

e166:  - 10*b21 + x122 <= 0;

e167:  - 10*b22 + x124 <= 0;

e168:  - 10*b23 + x126 <= 0;

e169:  - 10*b24 + x128 <= 0;

e170:  - 10*b25 + x130 <= 0;

e171:  - 10*b26 + x132 <= 0;

e172:  - 10*b27 + x134 <= 0;

e173:  - 10*b28 + x136 <= 0;

e174:  - 10*b29 + x138 <= 0;

e175:  - 10*b30 + x140 <= 0;

e176:  - 10*b31 + x141 <= 0;

e177:  - 10*b32 + x143 <= 0;

e178:  - 10*b33 + x145 <= 0;

e179:  - 10*b34 + x147 <= 0;

e180:  - 10*b35 + x149 <= 0;

e181:  - 10*b36 + x151 <= 0;

e182:  - 10*b37 + x153 <= 0;

e183:  - 10*b38 + x155 <= 0;

e184:  - 10*b39 + x157 <= 0;

e185:  - 10*b40 + x159 <= 0;

e186:  - 10*b31 + x142 <= 0;

e187:  - 10*b32 + x144 <= 0;

e188:  - 10*b33 + x146 <= 0;

e189:  - 10*b34 + x148 <= 0;

e190:  - 10*b35 + x150 <= 0;

e191:  - 10*b36 + x152 <= 0;

e192:  - 10*b37 + x154 <= 0;

e193:  - 10*b38 + x156 <= 0;

e194:  - 10*b39 + x158 <= 0;

e195:  - 10*b40 + x160 <= 0;

e196:  - 10*b41 + x161 <= 0;

e197:  - 10*b42 + x163 <= 0;

e198:  - 10*b43 + x165 <= 0;

e199:  - 10*b44 + x167 <= 0;

e200:  - 10*b45 + x169 <= 0;

e201:  - 10*b46 + x171 <= 0;

e202:  - 10*b47 + x173 <= 0;

e203:  - 10*b48 + x175 <= 0;

e204:  - 10*b49 + x177 <= 0;

e205:  - 10*b50 + x179 <= 0;

e206:  - 10*b41 + x162 <= 0;

e207:  - 10*b42 + x164 <= 0;

e208:  - 10*b43 + x166 <= 0;

e209:  - 10*b44 + x168 <= 0;

e210:  - 10*b45 + x170 <= 0;

e211:  - 10*b46 + x172 <= 0;

e212:  - 10*b47 + x174 <= 0;

e213:  - 10*b48 + x176 <= 0;

e214:  - 10*b49 + x178 <= 0;

e215:  - 10*b50 + x180 <= 0;

e216:    x51 - x52 <= 0;

e217:    x52 - x57 <= 0;

e218:    x57 - x61 <= 0;

e219:    x61 - x65 <= 0;