QPLIB

A Library of Quadratic Programming Instances

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QPLIB_0032

Formats gms lp mod qplib
Problem type probtype QML
Solution point objective value solobjvalue 10.12639121 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Andrea Scozzari
#Variables nvars 100
#Binary Variables nbinvars 50
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 50
#Nonlinear Variables nnlvars 50
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 25
#Positive eigenvalues in objective matrix nobjquadposev 25
#Nonzeros in Objective nobjnz 50
#Nonlinear Nonzeros in Objective nobjnlnz 50
#Quadratic Terms in Objective nobjquadnz 1274
#Square Terms in Objective nobjquaddiagnz 50
#Constraints ncons 52
#Linear Constraints nlincons 52
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 200
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 2498
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 50
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 50
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 50
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 50.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_0032.gms

$offlisting
*  
*  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
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,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,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;

Positive Variables  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;

Binary Variables  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;

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;


e1.. 20.3596*sqr(x2) + 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*sqr(x3) + 
     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*sqr(x4) + 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*sqr(x5)
      + 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
     *sqr(x6) + 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*sqr(x7) + 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*sqr(x8) + 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*sqr(x9) + 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*sqr(x10) + 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*sqr(x11) + 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*sqr(x12) + 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*sqr(x13) + 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*sqr(x14) + 
     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 + 
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     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*sqr(x19) + 21.8952*x19*x20 + 
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     8.34078*x20*x21 + 3465.02*x20*x22 + 2967.5*x20*x23 + 2993.04*x20*x24 + 
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     *x20*x29 + 3027.16*x20*x30 + 3119.36*x20*x31 + 2959*x20*x32 + 3080.18*x20*
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     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*sqr(x23) + 
     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*sqr(x24)
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     3068.24*x24*x33 + 3074.48*x24*x34 + 3072.42*x24*x35 + 3077.2*x24*x36 + 
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     3074.48*x44*x47 + 3078.48*x44*x48 + 3074.9*x44*x49 + 3072.4*x44*x50 + 
     3074.56*x44*x51 + 1516.83*sqr(x45) + 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*sqr(x46) + 3071.06*x46*x47 + 3073.8*x46*x48 + 3072.6*x46*x49 + 
     3074.76*x46*x50 + 3068.96*x46*x51 + 1523.59*sqr(x47) + 3072.16*x47*x48 + 
     3061.76*x47*x49 + 3071.32*x47*x50 + 3072.94*x47*x51 + 1503.67*sqr(x48) + 
     3074.9*x48*x49 + 3046.76*x48*x50 + 3079.78*x48*x51 + 1521.27*sqr(x49) + 
     3052.48*x49*x50 + 3071.86*x49*x51 + 1512.31*sqr(x50) + 3089.2*x50*x51 + 
     1528.25*sqr(x51) - objvar =E= 0;

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 =E= 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 =L= 5;

e4..    x2 - b52 =L= 0;

e5..    x3 - b53 =L= 0;

e6..    x4 - b54 =L= 0;

e7..    x5 - b55 =L= 0;

e8..    x6 - b56 =L= 0;

e9..    x7 - b57 =L= 0;

e10..    x8 - b58 =L= 0;

e11..    x9 - b59 =L= 0;

e12..    x10 - b60 =L= 0;

e13..    x11 - b61 =L= 0;

e14..    x12 - b62 =L= 0;

e15..    x13 - b63 =L= 0;

e16..    x14 - b64 =L= 0;

e17..    x15 - b65 =L= 0;

e18..    x16 - b66 =L= 0;

e19..    x17 - b67 =L= 0;

e20..    x18 - b68 =L= 0;

e21..    x19 - b69 =L= 0;

e22..    x20 - b70 =L= 0;

e23..    x21 - b71 =L= 0;

e24..    x22 - b72 =L= 0;

e25..    x23 - b73 =L= 0;

e26..    x24 - b74 =L= 0;

e27..    x25 - b75 =L= 0;

e28..    x26 - b76 =L= 0;

e29..    x27 - b77 =L= 0;

e30..    x28 - b78 =L= 0;

e31..    x29 - b79 =L= 0;

e32..    x30 - b80 =L= 0;

e33..    x31 - b81 =L= 0;

e34..    x32 - b82 =L= 0;

e35..    x33 - b83 =L= 0;

e36..    x34 - b84 =L= 0;

e37..    x35 - b85 =L= 0;

e38..    x36 - b86 =L= 0;

e39..    x37 - b87 =L= 0;

e40..    x38 - b88 =L= 0;

e41..    x39 - b89 =L= 0;

e42..    x40 - b90 =L= 0;

e43..    x41 - b91 =L= 0;

e44..    x42 - b92 =L= 0;

e45..    x43 - b93 =L= 0;

e46..    x44 - b94 =L= 0;

e47..    x45 - b95 =L= 0;

e48..    x46 - b96 =L= 0;

e49..    x47 - b97 =L= 0;

e50..    x48 - b98 =L= 0;

e51..    x49 - b99 =L= 0;

e52..    x50 - b100 =L= 0;

e53..    x51 - b101 =L= 0;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% minimizing objvar;





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