#  MIQCP written by GAMS Convert at 02/15/18 15:36:55
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         53        2        0       51        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        101       51       50        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        251      201       50        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0;
var x3 >= 0;
var x4 >= 0;
var x5 >= 0;
var x6 >= 0;
var x7 >= 0;
var x8 >= 0;
var x9 >= 0;
var x10 >= 0;
var x11 >= 0;
var x12 >= 0;
var x13 >= 0;
var x14 >= 0;
var x15 >= 0;
var x16 >= 0;
var x17 >= 0;
var x18 >= 0;
var x19 >= 0;
var x20 >= 0;
var x21 >= 0;
var x22 >= 0;
var x23 >= 0;
var x24 >= 0;
var x25 >= 0;
var x26 >= 0;
var x27 >= 0;
var x28 >= 0;
var x29 >= 0;
var x30 >= 0;
var x31 >= 0;
var x32 >= 0;
var x33 >= 0;
var x34 >= 0;
var x35 >= 0;
var x36 >= 0;
var x37 >= 0;
var x38 >= 0;
var x39 >= 0;
var x40 >= 0;
var x41 >= 0;
var x42 >= 0;
var x43 >= 0;
var x44 >= 0;
var x45 >= 0;
var x46 >= 0;
var x47 >= 0;
var x48 >= 0;
var x49 >= 0;
var x50 >= 0;
var x51 >= 0;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;
var b62 binary >= 0, <= 1;
var b63 binary >= 0, <= 1;
var b64 binary >= 0, <= 1;
var b65 binary >= 0, <= 1;
var b66 binary >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;

minimize obj: 20.3596*x2^2 + 25.0788*x2*x3 + 17.947*x2*x4 + 6.542*x2*x5 + 
    17.23366*x2*x6 + 14.34212*x2*x7 + 20.9344*x2*x8 + 19.68026*x2*x9 + 24.9746*
    x2*x10 + 20.0474*x2*x11 + 18.88906*x2*x12 + 27.3166*x2*x13 + 12.26458*x2*
    x14 + 18.6984*x2*x15 + 20.0254*x2*x16 + 15.73132*x2*x17 + 19.65802*x2*x18
     + 23.7376*x2*x19 + 16.23344*x2*x20 + 22.2582*x2*x21 + 3462.6*x2*x22 + 
    2963.68*x2*x23 + 2996.52*x2*x24 + 2999.08*x2*x25 + 3133.9*x2*x26 + 3143.8*
    x2*x27 + 3174.96*x2*x28 + 2951.86*x2*x29 + 3025.88*x2*x30 + 3105.82*x2*x31
     + 2956.4*x2*x32 + 3075.84*x2*x33 + 3091.64*x2*x34 + 3069.5*x2*x35 + 
    3176.82*x2*x36 + 3054*x2*x37 + 3094.24*x2*x38 + 2806.34*x2*x39 + 3015.58*x2
    *x40 + 3073.46*x2*x41 + 3103.24*x2*x42 + 3081.82*x2*x43 + 3059.66*x2*x44 + 
    3106.82*x2*x45 + 3048.72*x2*x46 + 3035.34*x2*x47 + 3131.66*x2*x48 + 3118.84
    *x2*x49 + 3177.02*x2*x50 + 3074.08*x2*x51 + 32.1147*x3^2 + 21.715*x3*x4 + 
    7.83478*x3*x5 + 22.4064*x3*x6 + 19.77348*x3*x7 + 22.5068*x3*x8 + 16.12034*
    x3*x9 + 16.5416*x3*x10 + 22.4774*x3*x11 + 11.93068*x3*x12 + 30.7052*x3*x13
     + 0.759808*x3*x14 + 26.0852*x3*x15 + 16.05596*x3*x16 + 15.3139*x3*x17 + 
    15.8942*x3*x18 + 17.45498*x3*x19 + 18.00362*x3*x20 + 28.9232*x3*x21 + 
    3466.38*x3*x22 + 2953.12*x3*x23 + 2995.18*x3*x24 + 2999.94*x3*x25 + 3125.82
    *x3*x26 + 3139.82*x3*x27 + 3185.32*x3*x28 + 2960.86*x3*x29 + 3030.6*x3*x30
     + 3094.78*x3*x31 + 2955.12*x3*x32 + 3073.94*x3*x33 + 3094.34*x3*x34 + 
    3069.36*x3*x35 + 3172.64*x3*x36 + 3053.94*x3*x37 + 3092.16*x3*x38 + 2808.64
    *x3*x39 + 3019.64*x3*x40 + 3076.18*x3*x41 + 3090.84*x3*x42 + 3076.92*x3*x43
     + 3061.94*x3*x44 + 3109.34*x3*x45 + 3049.22*x3*x46 + 3032.02*x3*x47 + 
    3147.96*x3*x48 + 3120.2*x3*x49 + 3164.8*x3*x50 + 3075.84*x3*x51 + 18.1806*
    x4^2 + 14.85134*x4*x5 + 19.40086*x4*x6 + 28.245*x4*x7 + 13.99258*x4*x8 + 
    19.82026*x4*x9 + 19.84702*x4*x10 + 19.50762*x4*x11 + 26.2482*x4*x12 + 
    18.66048*x4*x13 + 14.74342*x4*x14 + 25.087*x4*x15 + 17.74762*x4*x16 + 
    19.367*x4*x17 + 18.95586*x4*x18 + 13.60068*x4*x19 + 23.0288*x4*x20 + 
    23.6436*x4*x21 + 3461.14*x4*x22 + 2958.68*x4*x23 + 2996.02*x4*x24 + 2999.84
    *x4*x25 + 3124.18*x4*x26 + 3142.26*x4*x27 + 3175.36*x4*x28 + 2963.06*x4*x29
     + 3028.32*x4*x30 + 3103.2*x4*x31 + 2952.02*x4*x32 + 3077.12*x4*x33 + 
    3093.64*x4*x34 + 3069.06*x4*x35 + 3167.44*x4*x36 + 3047.36*x4*x37 + 3098*x4
    *x38 + 2810.8*x4*x39 + 3015.32*x4*x40 + 3074.14*x4*x41 + 3094.72*x4*x42 + 
    3077.84*x4*x43 + 3058.38*x4*x44 + 3111.52*x4*x45 + 3048*x4*x46 + 3038.02*x4
    *x47 + 3137.14*x4*x48 + 3120.36*x4*x49 + 3169.94*x4*x50 + 3075.32*x4*x51 + 
    32.1*x5^2 + 18.24976*x5*x6 + 17.01552*x5*x7 + 10.1989*x5*x8 + 19.88196*x5*
    x9 + 15.9884*x5*x10 + 20.5434*x5*x11 + 27.3856*x5*x12 + 15.74308*x5*x13 + 
    32.388*x5*x14 + 15.2725*x5*x15 + 17.632*x5*x16 + 23.708*x5*x17 + 20.3916*x5
    *x18 + 20.1868*x5*x19 + 16.83364*x5*x20 + 9.73712*x5*x21 + 3472.1*x5*x22 + 
    2961.28*x5*x23 + 3008.7*x5*x24 + 3005.64*x5*x25 + 3125.48*x5*x26 + 3146.98*
    x5*x27 + 3182.98*x5*x28 + 2950.76*x5*x29 + 3024.38*x5*x30 + 3128.14*x5*x31
     + 2959.6*x5*x32 + 3080.5*x5*x33 + 3093.08*x5*x34 + 3069.14*x5*x35 + 
    3182.04*x5*x36 + 3061.02*x5*x37 + 3097.04*x5*x38 + 2829.62*x5*x39 + 3023.6*
    x5*x40 + 3067.46*x5*x41 + 3091.48*x5*x42 + 3082.68*x5*x43 + 3056.74*x5*x44
     + 3108.46*x5*x45 + 3048.14*x5*x46 + 3028.96*x5*x47 + 3137.14*x5*x48 + 
    3122.68*x5*x49 + 3173.94*x5*x50 + 3076.9*x5*x51 + 22.1844*x6^2 + 7.66564*x6
    *x7 + 27.4014*x6*x8 + 17.06308*x6*x9 + 18.34212*x6*x10 + 6.75686*x6*x11 + 
    16.088*x6*x12 + 17.17656*x6*x13 + 14.0602*x6*x14 + 16.59576*x6*x15 + 
    16.2405*x6*x16 + 18.0496*x6*x17 + 18.23408*x6*x18 + 20.2368*x6*x19 + 
    27.4216*x6*x20 + 27.2588*x6*x21 + 3469.02*x6*x22 + 2962.06*x6*x23 + 2994.1*
    x6*x24 + 3003.32*x6*x25 + 3138.5*x6*x26 + 3136.1*x6*x27 + 3188.34*x6*x28 + 
    2961.78*x6*x29 + 3026.84*x6*x30 + 3107.76*x6*x31 + 2962.42*x6*x32 + 3078.3*
    x6*x33 + 3093.38*x6*x34 + 3069.14*x6*x35 + 3177.24*x6*x36 + 3052.06*x6*x37
     + 3097.52*x6*x38 + 2812.7*x6*x39 + 3012.2*x6*x40 + 3072.08*x6*x41 + 3093.5
    *x6*x42 + 3081.32*x6*x43 + 3059.1*x6*x44 + 3108.7*x6*x45 + 3049.7*x6*x46 + 
    3041.84*x6*x47 + 3130.5*x6*x48 + 3125.22*x6*x49 + 3162.2*x6*x50 + 3068.6*x6
    *x51 + 27.2455*x7^2 + 21.678*x7*x9 + 13.63144*x7*x10 + 36.6688*x7*x11 + 
    18.23388*x7*x12 + 21.107*x7*x13 + 13.58366*x7*x14 + 27.7854*x7*x15 + 
    20.9282*x7*x16 + 22.9722*x7*x17 + 19.47304*x7*x18 + 12.86958*x7*x19 + 
    10.40072*x7*x20 + 33.238*x7*x21 + 3458.16*x7*x22 + 2954.2*x7*x23 + 2995.24*
    x7*x24 + 2998.28*x7*x25 + 3116.16*x7*x26 + 3145.92*x7*x27 + 3173.52*x7*x28
     + 2964.84*x7*x29 + 3029.88*x7*x30 + 3101.32*x7*x31 + 2955.5*x7*x32 + 
    3075.88*x7*x33 + 3093.78*x7*x34 + 3069.28*x7*x35 + 3162.48*x7*x36 + 3052.72
    *x7*x37 + 3093.6*x7*x38 + 2807.88*x7*x39 + 3015.48*x7*x40 + 3074.56*x7*x41
     + 3093.22*x7*x42 + 3079.8*x7*x43 + 3058.64*x7*x44 + 3110.04*x7*x45 + 
    3047.12*x7*x46 + 3030.62*x7*x47 + 3128.64*x7*x48 + 3112.84*x7*x49 + 3171.68
    *x7*x50 + 3076.16*x7*x51 + 35.1728*x8^2 + 21.7264*x8*x9 + 26.726*x8*x10 + 
    8.2822*x8*x11 + 22.6336*x8*x12 + 0.973622*x8*x13 + 32.7104*x8*x14 + 
    11.57148*x8*x15 + 18.98382*x8*x16 + 19.44498*x8*x17 + 22.6742*x8*x18 + 
    23.3612*x8*x19 + 25.4416*x8*x20 + 4.79028*x8*x21 + 3467.76*x8*x22 + 2959.9*
    x8*x23 + 2993.6*x8*x24 + 3000.4*x8*x25 + 3130.98*x8*x26 + 3150.94*x8*x27 + 
    3199.48*x8*x28 + 2961*x8*x29 + 3026.4*x8*x30 + 3116*x8*x31 + 2959.32*x8*x32
     + 3081.96*x8*x33 + 3093.16*x8*x34 + 3069.42*x8*x35 + 3181.46*x8*x36 + 
    3050.18*x8*x37 + 3095.36*x8*x38 + 2811.26*x8*x39 + 3019.86*x8*x40 + 3072.72
    *x8*x41 + 3103.88*x8*x42 + 3087.28*x8*x43 + 3056.66*x8*x44 + 3107.64*x8*x45
     + 3049.48*x8*x46 + 3033.38*x8*x47 + 3131.12*x8*x48 + 3129.48*x8*x49 + 
    3167.42*x8*x50 + 3068.68*x8*x51 + 10.8748*x9^2 + 20.5082*x9*x10 + 22.4166*
    x9*x11 + 20.738*x9*x12 + 17.42876*x9*x13 + 20.4204*x9*x14 + 20.0048*x9*x15
     + 21.2452*x9*x16 + 21.0746*x9*x17 + 21.6382*x9*x18 + 20.1998*x9*x19 + 
    16.8663*x9*x20 + 18.8416*x9*x21 + 3464*x9*x22 + 2963*x9*x23 + 2997.02*x9*
    x24 + 3000.16*x9*x25 + 3126.5*x9*x26 + 3145.62*x9*x27 + 3178.04*x9*x28 + 
    2956.54*x9*x29 + 3026.2*x9*x30 + 3114.84*x9*x31 + 2955.5*x9*x32 + 3078.52*
    x9*x33 + 3093*x9*x34 + 3069.36*x9*x35 + 3170.46*x9*x36 + 3052.24*x9*x37 + 
    3094.84*x9*x38 + 2812.98*x9*x39 + 3017.44*x9*x40 + 3072.62*x9*x41 + 3099.3*
    x9*x42 + 3082.54*x9*x43 + 3058*x9*x44 + 3107.58*x9*x45 + 3048.24*x9*x46 + 
    3032.2*x9*x47 + 3131.54*x9*x48 + 3118.56*x9*x49 + 3172.8*x9*x50 + 3071.72*
    x9*x51 + 13.2227*x10^2 + 18.58888*x10*x11 + 23.3504*x10*x12 + 19.56858*x10*
    x13 + 22.8992*x10*x14 + 18.14074*x10*x15 + 20.4188*x10*x16 + 19.14746*x10*
    x17 + 20.6796*x10*x18 + 19.91646*x10*x19 + 19.46978*x10*x20 + 14.70216*x10*
    x21 + 3464.86*x10*x22 + 2963.52*x10*x23 + 2996.38*x10*x24 + 2999.08*x10*x25
     + 3131.4*x10*x26 + 3144.8*x10*x27 + 3183.5*x10*x28 + 2955.56*x10*x29 + 
    3025.08*x10*x30 + 3114.68*x10*x31 + 2955.4*x10*x32 + 3079.42*x10*x33 + 
    3092.66*x10*x34 + 3069.26*x10*x35 + 3174.76*x10*x36 + 3054.52*x10*x37 + 
    3096.22*x10*x38 + 2815.52*x10*x39 + 3018.46*x10*x40 + 3072.16*x10*x41 + 
    3100.22*x10*x42 + 3083.68*x10*x43 + 3057.42*x10*x44 + 3105.46*x10*x45 + 
    3048.74*x10*x46 + 3032.96*x10*x47 + 3129.24*x10*x48 + 3120.3*x10*x49 + 
    3173.6*x10*x50 + 3070.64*x10*x51 + 21.4608*x11^2 + 19.51564*x11*x12 + 
    26.3024*x11*x13 + 17.81244*x11*x14 + 28.81*x11*x15 + 22.1732*x11*x16 + 
    22.318*x11*x17 + 21.13*x11*x18 + 15.56974*x11*x19 + 2.04206*x11*x20 + 
    24.0192*x11*x21 + 3459.86*x11*x22 + 2957.26*x11*x23 + 2997*x11*x24 + 
    2999.92*x11*x25 + 3119.44*x11*x26 + 3145.18*x11*x27 + 3175.2*x11*x28 + 
    2956.38*x11*x29 + 3027.24*x11*x30 + 3109.12*x11*x31 + 2952.34*x11*x32 + 
    3075.52*x11*x33 + 3093.12*x11*x34 + 3069.42*x11*x35 + 3168.16*x11*x36 + 
    3058.3*x11*x37 + 3091.86*x11*x38 + 2821.2*x11*x39 + 3022.6*x11*x40 + 3071.7
    *x11*x41 + 3092.06*x11*x42 + 3082.4*x11*x43 + 3059.44*x11*x44 + 3107.2*x11*
    x45 + 3047.16*x11*x46 + 3028.84*x11*x47 + 3132.66*x11*x48 + 3114.46*x11*x49
     + 3172.02*x11*x50 + 3070.32*x11*x51 + 17.6937*x12^2 + 19.14794*x12*x13 + 
    25.1016*x12*x14 + 16.17116*x12*x15 + 19.82874*x12*x16 + 20.5426*x12*x17 + 
    21.1734*x12*x18 + 19.01706*x12*x19 + 16.53976*x12*x20 + 13.08144*x12*x21 + 
    3467.38*x12*x22 + 2964.52*x12*x23 + 3001.86*x12*x24 + 3001.04*x12*x25 + 
    3125.94*x12*x26 + 3147.54*x12*x27 + 3188.06*x12*x28 + 2954.36*x12*x29 + 
    3025.14*x12*x30 + 3115.86*x12*x31 + 2956.44*x12*x32 + 3081.88*x12*x33 + 
    3092.7*x12*x34 + 3069*x12*x35 + 3168.78*x12*x36 + 3050.86*x12*x37 + 3099.2*
    x12*x38 + 2826.5*x12*x39 + 3024.58*x12*x40 + 3071.48*x12*x41 + 3097.92*x12*
    x42 + 3082.08*x12*x43 + 3056.86*x12*x44 + 3109.1*x12*x45 + 3047.88*x12*x46
     + 3032.38*x12*x47 + 3132.54*x12*x48 + 3119.08*x12*x49 + 3172.9*x12*x50 + 
    3075.54*x12*x51 + 27.3639*x13^2 + 4.73408*x13*x14 + 18.08396*x13*x15 + 
    21.0566*x13*x16 + 16.33002*x13*x17 + 18.02904*x13*x18 + 18.21768*x13*x19 + 
    9.08428*x13*x20 + 23.1962*x13*x21 + 3463.16*x13*x22 + 2961.86*x13*x23 + 
    2995.86*x13*x24 + 3000.3*x13*x25 + 3129.16*x13*x26 + 3139.22*x13*x27 + 
    3186.56*x13*x28 + 2946.02*x13*x29 + 3026.58*x13*x30 + 3114.48*x13*x31 + 
    2956.5*x13*x32 + 3076.6*x13*x33 + 3092.46*x13*x34 + 3069.06*x13*x35 + 
    3162.9*x13*x36 + 3060.42*x13*x37 + 3096.48*x13*x38 + 2817.62*x13*x39 + 
    3020.88*x13*x40 + 3073.42*x13*x41 + 3091.74*x13*x42 + 3080.68*x13*x43 + 
    3060.82*x13*x44 + 3106.42*x13*x45 + 3048.54*x13*x46 + 3037.78*x13*x47 + 
    3133.78*x13*x48 + 3114.58*x13*x49 + 3168.6*x13*x50 + 3073.3*x13*x51 + 
    29.1806*x14^2 + 15.6101*x14*x15 + 22.6266*x14*x16 + 24.8692*x14*x17 + 
    19.88046*x14*x18 + 18.49356*x14*x19 + 19.75472*x14*x20 + 10.56068*x14*x21
     + 3464.52*x14*x22 + 2956.86*x14*x23 + 2997.94*x14*x24 + 3001.2*x14*x25 + 
    3125.9*x14*x26 + 3149.1*x14*x27 + 3182.08*x14*x28 + 2961.1*x14*x29 + 3026.8
    *x14*x30 + 3132.26*x14*x31 + 2955.42*x14*x32 + 3084*x14*x33 + 3093.94*x14*
    x34 + 3068.88*x14*x35 + 3177.4*x14*x36 + 3065.46*x14*x37 + 3097.36*x14*x38
     + 2822.06*x14*x39 + 3024.94*x14*x40 + 3070.74*x14*x41 + 3098.68*x14*x42 + 
    3085.06*x14*x43 + 3055.16*x14*x44 + 3107.32*x14*x45 + 3047.88*x14*x46 + 
    3035.52*x14*x47 + 3129.24*x14*x48 + 3112.12*x14*x49 + 3168.6*x14*x50 + 
    3074.9*x14*x51 + 18.7042*x15^2 + 18.32242*x15*x16 + 19.36548*x15*x17 + 
    19.05504*x15*x18 + 16.2448*x15*x19 + 16.9839*x15*x20 + 17.53814*x15*x21 + 
    3460.88*x15*x22 + 2958.9*x15*x23 + 2995.9*x15*x24 + 3001.94*x15*x25 + 
    3125.42*x15*x26 + 3142*x15*x27 + 3170.24*x15*x28 + 2960.42*x15*x29 + 
    3027.66*x15*x30 + 3103.86*x15*x31 + 2950.88*x15*x32 + 3075.7*x15*x33 + 
    3094.04*x15*x34 + 3069.56*x15*x35 + 3177.02*x15*x36 + 3054.62*x15*x37 + 
    3094.66*x15*x38 + 2812.72*x15*x39 + 3015.72*x15*x40 + 3073.34*x15*x41 + 
    3091.86*x15*x42 + 3077.9*x15*x43 + 3058.52*x15*x44 + 3108.6*x15*x45 + 
    3047.8*x15*x46 + 3031.1*x15*x47 + 3138.58*x15*x48 + 3116.2*x15*x49 + 
    3176.98*x15*x50 + 3071.88*x15*x51 + 12.197*x16^2 + 21.399*x16*x17 + 21.1422
    *x16*x18 + 19.83482*x16*x19 + 14.06908*x16*x20 + 23.9472*x16*x21 + 3464.66*
    x16*x22 + 2962.64*x16*x23 + 2996.56*x16*x24 + 2998.7*x16*x25 + 3126.58*x16*
    x26 + 3145.64*x16*x27 + 3181.54*x16*x28 + 2955*x16*x29 + 3026.34*x16*x30 + 
    3118*x16*x31 + 2957.42*x16*x32 + 3079.02*x16*x33 + 3092.96*x16*x34 + 
    3069.16*x16*x35 + 3167.32*x16*x36 + 3055.16*x16*x37 + 3094.24*x16*x38 + 
    2812.2*x16*x39 + 3021.1*x16*x40 + 3073.38*x16*x41 + 3098.66*x16*x42 + 
    3083.18*x16*x43 + 3058.36*x16*x44 + 3107.42*x16*x45 + 3048.16*x16*x46 + 
    3031.2*x16*x47 + 3128.92*x16*x48 + 3114.74*x16*x49 + 3170.22*x16*x50 + 
    3071.44*x16*x51 + 11.3375*x17^2 + 20.8366*x17*x18 + 18.236*x17*x19 + 
    16.85492*x17*x20 + 21.8986*x17*x21 + 3465.04*x17*x22 + 2962.36*x17*x23 + 
    2996.2*x17*x24 + 3001.36*x17*x25 + 3125.96*x17*x26 + 3145.18*x17*x27 + 
    3179.54*x17*x28 + 2958.28*x17*x29 + 3026.8*x17*x30 + 3116.36*x17*x31 + 
    2956.28*x17*x32 + 3079.16*x17*x33 + 3093.44*x17*x34 + 3069.24*x17*x35 + 
    3169.22*x17*x36 + 3053.78*x17*x37 + 3094.74*x17*x38 + 2815.82*x17*x39 + 
    3019.44*x17*x40 + 3072.42*x17*x41 + 3097.9*x17*x42 + 3082.14*x17*x43 + 
    3057.68*x17*x44 + 3108.28*x17*x45 + 3048.16*x17*x46 + 3032.32*x17*x47 + 
    3132*x17*x48 + 3117.34*x17*x49 + 3169.4*x17*x50 + 3071.36*x17*x51 + 10.9478
    *x18^2 + 21.023*x18*x19 + 17.37634*x18*x20 + 17.80468*x18*x21 + 3465*x18*
    x22 + 2964.54*x18*x23 + 2997*x18*x24 + 3000.52*x18*x25 + 3127.22*x18*x26 + 
    3145.9*x18*x27 + 3179.28*x18*x28 + 2955.52*x18*x29 + 3025.8*x18*x30 + 
    3115.6*x18*x31 + 2955.7*x18*x32 + 3079.2*x18*x33 + 3092.98*x18*x34 + 
    3069.38*x18*x35 + 3170.44*x18*x36 + 3051.78*x18*x37 + 3095.3*x18*x38 + 
    2814.18*x18*x39 + 3017.66*x18*x40 + 3072.42*x18*x41 + 3099.82*x18*x42 + 
    3082.84*x18*x43 + 3057.98*x18*x44 + 3107.38*x18*x45 + 3048.36*x18*x46 + 
    3032.3*x18*x47 + 3132.26*x18*x48 + 3118.5*x18*x49 + 3173.46*x18*x50 + 
    3071.64*x18*x51 + 16.4452*x19^2 + 21.8952*x19*x20 + 10.2977*x19*x21 + 
    3466.76*x19*x22 + 2969.76*x19*x23 + 3000.6*x19*x24 + 2999.38*x19*x25 + 
    3134.74*x19*x26 + 3143.96*x19*x27 + 3183.14*x19*x28 + 2954.32*x19*x29 + 
    3026.68*x19*x30 + 3121.74*x19*x31 + 2957.2*x19*x32 + 3080.6*x19*x33 + 
    3092.28*x19*x34 + 3069.54*x19*x35 + 3177.5*x19*x36 + 3049.28*x19*x37 + 
    3096.02*x19*x38 + 2812.96*x19*x39 + 3013.3*x19*x40 + 3072.82*x19*x41 + 
    3107.12*x19*x42 + 3081.06*x19*x43 + 3058.52*x19*x44 + 3103.76*x19*x45 + 
    3049.1*x19*x46 + 3033.9*x19*x47 + 3132.76*x19*x48 + 3114.7*x19*x49 + 
    3177.02*x19*x50 + 3072.54*x19*x51 + 26.0797*x20^2 + 8.34078*x20*x21 + 
    3465.02*x20*x22 + 2967.5*x20*x23 + 2993.04*x20*x24 + 2997.7*x20*x25 + 
    3136.48*x20*x26 + 3143.42*x20*x27 + 3182.3*x20*x28 + 2959*x20*x29 + 3027.16
    *x20*x30 + 3119.36*x20*x31 + 2959*x20*x32 + 3080.18*x20*x33 + 3093.5*x20*
    x34 + 3069.58*x20*x35 + 3174.72*x20*x36 + 3042.98*x20*x37 + 3101.4*x20*x38
     + 2801.2*x20*x39 + 3006.96*x20*x40 + 3074.78*x20*x41 + 3100.64*x20*x42 + 
    3077.96*x20*x43 + 3055.08*x20*x44 + 3103.64*x20*x45 + 3049.66*x20*x46 + 
    3038.2*x20*x47 + 3130.96*x20*x48 + 3126.74*x20*x49 + 3178.02*x20*x50 + 
    3069.94*x20*x51 + 33.5468*x21^2 + 3462.24*x21*x22 + 2955.3*x21*x23 + 
    2991.88*x21*x24 + 3000.34*x21*x25 + 3125.48*x21*x26 + 3135.68*x21*x27 + 
    3174.66*x21*x28 + 2966.6*x21*x29 + 3029.64*x21*x30 + 3091.2*x21*x31 + 
    2959.38*x21*x32 + 3074.42*x21*x33 + 3093.8*x21*x34 + 3068.72*x21*x35 + 
    3156.7*x21*x36 + 3053.82*x21*x37 + 3089.54*x21*x38 + 2804.3*x21*x39 + 
    3018.06*x21*x40 + 3074.78*x21*x41 + 3091.04*x21*x42 + 3080.82*x21*x43 + 
    3062.6*x21*x44 + 3113.02*x21*x45 + 3047.78*x21*x46 + 3036.8*x21*x47 + 
    3132.56*x21*x48 + 3118.36*x21*x49 + 3152.86*x21*x50 + 3072.92*x21*x51 + 
    1364.85*x22^2 + 3034.04*x22*x23 + 3117.26*x22*x24 + 3040.84*x22*x25 + 
    3126.32*x22*x26 + 3023.1*x22*x27 + 3077.66*x22*x28 + 3147.26*x22*x29 + 
    3056.62*x22*x30 + 3085.16*x22*x31 + 3122.62*x22*x32 + 3092.46*x22*x33 + 
    3066.68*x22*x34 + 3069.26*x22*x35 + 3099.6*x22*x36 + 3112.14*x22*x37 + 
    3076.36*x22*x38 + 2976.64*x22*x39 + 3054.92*x22*x40 + 3070*x22*x41 + 
    3090.74*x22*x42 + 3056.1*x22*x43 + 3081.82*x22*x44 + 3070.46*x22*x45 + 
    3076.92*x22*x46 + 3040.3*x22*x47 + 2987.62*x22*x48 + 3027.68*x22*x49 + 
    3072.34*x22*x50 + 3063.88*x22*x51 + 1339.34*x23^2 + 3074.5*x23*x24 + 3090*
    x23*x25 + 2910.76*x23*x26 + 3017.34*x23*x27 + 3282.9*x23*x28 + 3164.26*x23*
    x29 + 3057.44*x23*x30 + 2985.62*x23*x31 + 3111.32*x23*x32 + 3071.74*x23*x33
     + 3074.06*x23*x34 + 3072.44*x23*x35 + 2953.06*x23*x36 + 3046.1*x23*x37 + 
    3050.62*x23*x38 + 3005.2*x23*x39 + 3015.32*x23*x40 + 3085.36*x23*x41 + 
    3129.46*x23*x42 + 3088.38*x23*x43 + 3064.4*x23*x44 + 3032.18*x23*x45 + 
    3068.26*x23*x46 + 3038.22*x23*x47 + 3065.56*x23*x48 + 3051.64*x23*x49 + 
    3063.02*x23*x50 + 3033.74*x23*x51 + 1478.26*x24^2 + 3103.82*x24*x25 + 
    3098.56*x24*x26 + 3033.22*x24*x27 + 2988.98*x24*x28 + 3025.52*x24*x29 + 
    3070.08*x24*x30 + 3065.3*x24*x31 + 3074.62*x24*x32 + 3068.24*x24*x33 + 
    3074.48*x24*x34 + 3072.42*x24*x35 + 3077.2*x24*x36 + 3044.22*x24*x37 + 
    3069.64*x24*x38 + 3088.28*x24*x39 + 3065*x24*x40 + 3068.84*x24*x41 + 
    3022.12*x24*x42 + 3072.54*x24*x43 + 3067.6*x24*x44 + 3074.66*x24*x45 + 
    3066.82*x24*x46 + 3066.28*x24*x47 + 3088*x24*x48 + 3072.46*x24*x49 + 
    3113.08*x24*x50 + 3066.22*x24*x51 + 1480.06*x25^2 + 3071.26*x25*x26 + 
    3101.64*x25*x27 + 3005.26*x25*x28 + 3080.62*x25*x29 + 3083.78*x25*x30 + 
    3098.18*x25*x31 + 3064.24*x25*x32 + 3088.9*x25*x33 + 3072.48*x25*x34 + 
    3070.68*x25*x35 + 3072.1*x25*x36 + 3131.64*x25*x37 + 3088.14*x25*x38 + 
    3111.74*x25*x39 + 3088.06*x25*x40 + 3069.82*x25*x41 + 3041.88*x25*x42 + 
    3057.44*x25*x43 + 3081.64*x25*x44 + 3074.54*x25*x45 + 3072.86*x25*x46 + 
    3054.72*x25*x47 + 3079.66*x25*x48 + 3070.78*x25*x49 + 3068.54*x25*x50 + 
    3082.74*x25*x51 + 1386.61*x26^2 + 3156.04*x26*x27 + 3230.46*x26*x28 + 
    3053.7*x26*x29 + 3099.14*x26*x30 + 3006.4*x26*x31 + 3058.54*x26*x32 + 
    3060.44*x26*x33 + 3075.62*x26*x34 + 3073.36*x26*x35 + 2986.06*x26*x36 + 
    3085.2*x26*x37 + 3059.84*x26*x38 + 3068.14*x26*x39 + 3093.54*x26*x40 + 
    3078.5*x26*x41 + 3068.28*x26*x42 + 3120.78*x26*x43 + 3059.9*x26*x44 + 
    3027.76*x26*x45 + 3073.72*x26*x46 + 3060.62*x26*x47 + 3103.34*x26*x48 + 
    3086.92*x26*x49 + 3061.54*x26*x50 + 3059.6*x26*x51 + 1399.85*x27^2 + 3036.7
    *x27*x28 + 3097.18*x27*x29 + 3080.78*x27*x30 + 3048.54*x27*x31 + 3058.64*
    x27*x32 + 3074.74*x27*x33 + 3068.78*x27*x34 + 3068.14*x27*x35 + 3101.84*x27
    *x36 + 3068.22*x27*x37 + 3076.64*x27*x38 + 3105.36*x27*x39 + 3070.1*x27*x40
     + 3069.88*x27*x41 + 3128.18*x27*x42 + 3048.08*x27*x43 + 3077.52*x27*x44 + 
    3063.78*x27*x45 + 3068.94*x27*x46 + 3109.98*x27*x47 + 3066.46*x27*x48 + 
    3063.3*x27*x49 + 3092.56*x27*x50 + 3040.66*x27*x51 + 1310.85*x28^2 + 2977.4
    *x28*x29 + 3100.7*x28*x30 + 3101.5*x28*x31 + 3083.68*x28*x32 + 3039.52*x28*
    x33 + 3072.96*x28*x34 + 3071.58*x28*x35 + 3160.96*x28*x36 + 3166.38*x28*x37
     + 3113.46*x28*x38 + 3190.62*x28*x39 + 3101.4*x28*x40 + 3053.58*x28*x41 + 
    2954.18*x28*x42 + 3026.74*x28*x43 + 3093.14*x28*x44 + 3057.66*x28*x45 + 
    3077.12*x28*x46 + 3106.16*x28*x47 + 3041.88*x28*x48 + 3093.42*x28*x49 + 
    3086.32*x28*x50 + 3075.78*x28*x51 + 1483.24*x29^2 + 3094.8*x29*x30 + 
    3074.36*x29*x31 + 3042.62*x29*x32 + 3058.98*x29*x33 + 3078.58*x29*x34 + 
    3071.38*x29*x35 + 3086.96*x29*x36 + 3113.18*x29*x37 + 3071.76*x29*x38 + 
    3075.52*x29*x39 + 3103.3*x29*x40 + 3066.4*x29*x41 + 3040.22*x29*x42 + 
    3062.72*x29*x43 + 3068.36*x29*x44 + 3085.92*x29*x45 + 3073.6*x29*x46 + 
    3092.72*x29*x47 + 3102.16*x29*x48 + 3063.96*x29*x49 + 3060.2*x29*x50 + 
    3092.76*x29*x51 + 1525.43*x30^2 + 3064.46*x30*x31 + 3079.88*x30*x32 + 
    3072.76*x30*x33 + 3070.3*x30*x34 + 3071.32*x30*x35 + 3084.68*x30*x36 + 
    3043.5*x30*x37 + 3067.96*x30*x38 + 3036*x30*x39 + 3065.78*x30*x40 + 3073.62
    *x30*x41 + 3079.62*x30*x42 + 3073.88*x30*x43 + 3071.46*x30*x44 + 3081.44*
    x30*x45 + 3070.1*x30*x46 + 3064.02*x30*x47 + 3075.72*x30*x48 + 3064.04*x30*
    x49 + 3076.14*x30*x50 + 3067.9*x30*x51 + 1464.59*x31^2 + 3093.24*x31*x32 + 
    3069.38*x31*x33 + 3070.76*x31*x34 + 3071.72*x31*x35 + 3065.1*x31*x36 + 
    3070.44*x31*x37 + 3078.94*x31*x38 + 3055.3*x31*x39 + 3074.84*x31*x40 + 
    3075.52*x31*x41 + 3100.52*x31*x42 + 3079.3*x31*x43 + 3059.68*x31*x44 + 
    3064.68*x31*x45 + 3069.18*x31*x46 + 3068.78*x31*x47 + 3072.54*x31*x48 + 
    3088.88*x31*x49 + 3102.38*x31*x50 + 3056.6*x31*x51 + 1508.82*x32^2 + 
    3066.32*x32*x33 + 3074.18*x32*x34 + 3070.22*x32*x35 + 3120.1*x32*x36 + 
    3106.8*x32*x37 + 3066.8*x32*x38 + 3083.08*x32*x39 + 3109.58*x32*x40 + 
    3069.02*x32*x41 + 3073.22*x32*x42 + 3079.92*x32*x43 + 3070.06*x32*x44 + 
    3065.34*x32*x45 + 3071.56*x32*x46 + 3091.48*x32*x47 + 3063.58*x32*x48 + 
    3096.1*x32*x49 + 3080.7*x32*x50 + 3073.86*x32*x51 + 1527.65*x33^2 + 3072.98
    *x33*x34 + 3071.8*x33*x35 + 3064.84*x33*x36 + 3083.46*x33*x37 + 3073.3*x33*
    x38 + 3083.8*x33*x39 + 3076.26*x33*x40 + 3064.34*x33*x41 + 3063.84*x33*x42
     + 3071.18*x33*x43 + 3070.72*x33*x44 + 3065.72*x33*x45 + 3072.1*x33*x46 + 
    3077.42*x33*x47 + 3063.94*x33*x48 + 3075.24*x33*x49 + 3065.34*x33*x50 + 
    3073.96*x33*x51 + 1534.98*x34^2 + 3071.42*x34*x35 + 3075.02*x34*x36 + 
    3063.86*x34*x37 + 3072.62*x34*x38 + 3067.34*x34*x39 + 3068.36*x34*x40 + 
    3071.46*x34*x41 + 3074.9*x34*x42 + 3071.3*x34*x43 + 3070.86*x34*x44 + 
    3069.96*x34*x45 + 3070.98*x34*x46 + 3072.36*x34*x47 + 3076.5*x34*x48 + 
    3071.56*x34*x49 + 3074.1*x34*x50 + 3071.02*x34*x51 + 1535.54*x35^2 + 
    3072.92*x35*x36 + 3072.66*x35*x37 + 3071.68*x35*x38 + 3072.12*x35*x39 + 
    3072.36*x35*x40 + 3071.92*x35*x41 + 3072.1*x35*x42 + 3070.7*x35*x43 + 
    3071.56*x35*x44 + 3070.94*x35*x45 + 3071.46*x35*x46 + 3071.38*x35*x47 + 
    3070.28*x35*x48 + 3071.2*x35*x49 + 3071.2*x35*x50 + 3070.8*x35*x51 + 
    1434.92*x36^2 + 3060.06*x36*x37 + 3060.3*x36*x38 + 3155.84*x36*x39 + 3031.5
    *x36*x40 + 3064.18*x36*x41 + 3030.68*x36*x42 + 3080.92*x36*x43 + 3070.46*
    x36*x44 + 3081.86*x36*x45 + 3073.62*x36*x46 + 3027.28*x36*x47 + 3064.76*x36
    *x48 + 3082.76*x36*x49 + 3049.58*x36*x50 + 3050.52*x36*x51 + 1471.34*x37^2
     + 3059.48*x37*x38 + 3027.48*x37*x39 + 3039.84*x37*x40 + 3076.72*x37*x41 + 
    3073.58*x37*x42 + 3090.94*x37*x43 + 3064.32*x37*x44 + 3073.58*x37*x45 + 
    3064.28*x37*x46 + 3065.52*x37*x47 + 3108.78*x37*x48 + 3067.4*x37*x49 + 
    3093.54*x37*x50 + 3049.6*x37*x51 + 1528.84*x38^2 + 3060.24*x38*x39 + 
    3067.76*x38*x40 + 3073.66*x38*x41 + 3078.72*x38*x42 + 3071.46*x38*x43 + 
    3067.74*x38*x44 + 3076.94*x38*x45 + 3071.02*x38*x46 + 3078.62*x38*x47 + 
    3063.68*x38*x48 + 3066*x38*x49 + 3067.8*x38*x50 + 3066.76*x38*x51 + 1417.03
    *x39^2 + 3059.08*x39*x40 + 3066.78*x39*x41 + 3106.98*x39*x42 + 3070.2*x39*
    x43 + 3061.86*x39*x44 + 3052.66*x39*x45 + 3066.7*x39*x46 + 3070.14*x39*x47
     + 3104.06*x39*x48 + 3030.94*x39*x49 + 3111.7*x39*x50 + 3054.32*x39*x51 + 
    1513.32*x40^2 + 3071.92*x40*x41 + 3067.28*x40*x42 + 3069.36*x40*x43 + 
    3068.76*x40*x44 + 3067.78*x40*x45 + 3068.26*x40*x46 + 3058.9*x40*x47 + 
    3055.1*x40*x48 + 3075.02*x40*x49 + 3063.66*x40*x50 + 3057.48*x40*x51 + 
    1531.2*x41^2 + 3071.02*x41*x42 + 3066.74*x41*x43 + 3071.06*x41*x44 + 
    3070.92*x41*x45 + 3071.66*x41*x46 + 3073.18*x41*x47 + 3070.88*x41*x48 + 
    3073.12*x41*x49 + 3075.6*x41*x50 + 3077.72*x41*x51 + 1491.83*x42^2 + 3071.4
    *x42*x43 + 3077.44*x42*x44 + 3062.46*x42*x45 + 3071.32*x42*x46 + 3049*x42*
    x47 + 3077.54*x42*x48 + 3078.6*x42*x49 + 3091.44*x42*x50 + 3060.2*x42*x51
     + 1525.35*x43^2 + 3073.78*x43*x44 + 3072.68*x43*x45 + 3071.88*x43*x46 + 
    3080.28*x43*x47 + 3055.9*x43*x48 + 3064.12*x43*x49 + 3061.08*x43*x50 + 
    3069.8*x43*x51 + 1534.16*x44^2 + 3072.74*x44*x45 + 3070.66*x44*x46 + 
    3074.48*x44*x47 + 3078.48*x44*x48 + 3074.9*x44*x49 + 3072.4*x44*x50 + 
    3074.56*x44*x51 + 1516.83*x45^2 + 3070.76*x45*x46 + 3084.22*x45*x47 + 
    3083.98*x45*x48 + 3088.16*x45*x49 + 3081.5*x45*x50 + 3065.96*x45*x51 + 
    1535.33*x46^2 + 3071.06*x46*x47 + 3073.8*x46*x48 + 3072.6*x46*x49 + 3074.76
    *x46*x50 + 3068.96*x46*x51 + 1523.59*x47^2 + 3072.16*x47*x48 + 3061.76*x47*
    x49 + 3071.32*x47*x50 + 3072.94*x47*x51 + 1503.67*x48^2 + 3074.9*x48*x49 + 
    3046.76*x48*x50 + 3079.78*x48*x51 + 1521.27*x49^2 + 3052.48*x49*x50 + 
    3071.86*x49*x51 + 1512.31*x50^2 + 3089.2*x50*x51 + 1528.25*x51^2;

subject to

e2:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14
     + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26
     + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38
     + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49 + x50
     + x51 = 1;

e3:    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 <= 5;

e4:    x2 - b52 <= 0;

e5:    x3 - b53 <= 0;

e6:    x4 - b54 <= 0;

e7:    x5 - b55 <= 0;

e8:    x6 - b56 <= 0;

e9:    x7 - b57 <= 0;

e10:    x8 - b58 <= 0;

e11:    x9 - b59 <= 0;

e12:    x10 - b60 <= 0;

e13:    x11 - b61 <= 0;

e14:    x12 - b62 <= 0;

e15:    x13 - b63 <= 0;

e16:    x14 - b64 <= 0;

e17:    x15 - b65 <= 0;

e18:    x16 - b66 <= 0;

e19:    x17 - b67 <= 0;

e20:    x18 - b68 <= 0;

e21:    x19 - b69 <= 0;

e22:    x20 - b70 <= 0;

e23:    x21 - b71 <= 0;

e24:    x22 - b72 <= 0;

e25:    x23 - b73 <= 0;

e26:    x24 - b74 <= 0;

e27:    x25 - b75 <= 0;

e28:    x26 - b76 <= 0;

e29:    x27 - b77 <= 0;

e30:    x28 - b78 <= 0;

e31:    x29 - b79 <= 0;

e32:    x30 - b80 <= 0;

e33:    x31 - b81 <= 0;

e34:    x32 - b82 <= 0;

e35:    x33 - b83 <= 0;

e36:    x34 - b84 <= 0;

e37:    x35 - b85 <= 0;

e38:    x36 - b86 <= 0;

e39:    x37 - b87 <= 0;

e40:    x38 - b88 <= 0;

e41:    x39 - b89 <= 0;

e42:    x40 - b90 <= 0;

e43:    x41 - b91 <= 0;

e44:    x42 - b92 <= 0;

e45:    x43 - b93 <= 0;

e46:    x44 - b94 <= 0;

e47:    x45 - b95 <= 0;

e48:    x46 - b96 <= 0;

e49:    x47 - b97 <= 0;

e50:    x48 - b98 <= 0;

e51:    x49 - b99 <= 0;

e52:    x50 - b100 <= 0;

e53:    x51 - b101 <= 0;