QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3834

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue 3760.71506600 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Stefan Vigerske
#Variables nvars 50
#Binary Variables nbinvars 50
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 50
#Nonlinear Binary Variables nnlbinvars 50
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 30
#Positive eigenvalues in objective matrix nobjquadposev 20
#Nonzeros in Objective nobjnz 50
#Nonlinear Nonzeros in Objective nobjnlnz 50
#Quadratic Terms in Objective nobjquadnz 1225
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 1
#Linear Constraints nlincons 1
#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 50
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 2450
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#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_3834.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          2        2        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         51        1       50        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        101       51       50        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51;

Equations  e1,e2;


e1.. 152.9154321*b2*b3 + 21.31597754*b2 + 76.80305903*b3 + 67.16933427*b2*b4 + 
     43.11662989*b4 + 108.4304989*b2*b5 + 46.24790665*b5 + 126.3724008*b2*b6 + 
     59.33275217*b6 + 102.5986656*b2*b7 + 82.85520874*b7 + 91.13423776*b2*b8 + 
     69.95841068*b8 + 178.2245844*b2*b9 + 93.26903815*b9 + 89.67048536*b2*b10
      + 36.1168357*b10 + 146.2001189*b2*b11 + 24.46117816*b11 + 140.0680337*b2*
     b12 + 47.2099061*b12 + 107.9653668*b2*b13 + 65.27914777*b13 + 146.1463761*
     b2*b14 + 37.31489961*b14 + 92.01459744*b2*b15 + 76.62006937*b15 + 
     34.5153921*b2*b16 + 54.68664787*b16 + 88.45666798*b2*b17 + 76.16864219*b17
      + 40.18109881*b2*b18 + 64.61964951*b18 + 94.69186388*b2*b19 + 78.74153261
     *b19 + 112.2242564*b2*b20 + 88.92153776*b20 + 115.8031805*b2*b21 + 
     68.03813854*b21 + 98.32947914*b2*b22 + 37.34750513*b22 + 75.86959131*b2*
     b23 + 87.9305065*b23 + 75.75789838*b2*b24 + 62.44171039*b24 + 95.57968191*
     b2*b25 + 47.31022999*b25 + 111.8445534*b2*b26 + 74.59962171*b26 + 
     126.4875654*b2*b27 + 90.20767806*b27 + 51.04471276*b2*b28 + 90.19629726*
     b28 + 92.0172506*b2*b29 + 37.20780516*b29 + 128.2611415*b2*b30 + 
     53.56217856*b30 + 118.4087973*b2*b31 + 42.61416947*b31 + 30.00741563*b2*
     b32 + 33.97792971*b32 + 118.7939867*b2*b33 + 71.1953959*b33 + 58.38621082*
     b2*b34 + 30.868823*b34 + 120.653015*b2*b35 + 70.05497248*b35 + 56.05391883
     *b2*b36 + 8.815194775*b36 + 95.15750191*b2*b37 + 15.49741194*b37 + 
     99.61586408*b2*b38 + 55.24293424*b38 + 97.20872035*b2*b39 + 33.45769764*
     b39 + 97.01744573*b2*b40 + 47.00069244*b40 + 100.7094511*b2*b41 + 
     78.42609232*b41 + 83.22559454*b2*b42 + 66.32267318*b42 + 90.49676781*b2*
     b43 + 15.87294446*b43 + 81.65851985*b2*b44 + 69.69068481*b44 + 55.08153208
     *b2*b45 + 84.21475839*b45 + 49.83315639*b2*b46 + 34.50164827*b46 + 
     35.72456474*b2*b47 + 74.02259428*b47 + 133.1230625*b2*b48 + 25.95693303*
     b48 + 96.78366793*b2*b49 + 45.36004947*b49 + 131.3343234*b2*b50 + 
     56.62879614*b50 + 79.82273349*b2*b51 + 38.04903567*b51 + 70.17830736*b3*b4
      + 45.08358949*b3*b5 + 51.34306577*b3*b6 + 87.98153926*b3*b7 + 149.8889945
     *b3*b8 + 82.11386986*b3*b9 + 26.30669196*b3*b10 + 129.8558389*b3*b11 + 
     56.79840011*b3*b12 + 42.73059576*b3*b13 + 122.5454722*b3*b14 + 119.8334898
     *b3*b15 + 66.86828069*b3*b16 + 60.8076358*b3*b17 + 75.14993458*b3*b18 + 
     154.1111596*b3*b19 + 62.34356579*b3*b20 + 53.7087685*b3*b21 + 43.63686536*
     b3*b22 + 115.6198423*b3*b23 + 66.58171719*b3*b24 + 148.3566225*b3*b25 + 
     69.91664488*b3*b26 + 89.83242179*b3*b27 + 71.92876568*b3*b28 + 89.99474401
     *b3*b29 + 131.3686346*b3*b30 + 17.66606015*b3*b31 + 40.84864206*b3*b32 + 
     80.0424758*b3*b33 + 119.5171457*b3*b34 + 78.2547109*b3*b35 + 49.94347162*
     b3*b36 + 70.26877919*b3*b37 + 45.99850741*b3*b38 + 70.69690961*b3*b39 + 
     102.1009517*b3*b40 + 177.5053002*b3*b41 + 106.5157706*b3*b42 + 107.4977663
     *b3*b43 + 81.81501212*b3*b44 + 92.77224211*b3*b45 + 98.80210358*b3*b46 + 
     189.1616628*b3*b47 + 100.0050739*b3*b48 + 130.433206*b3*b49 + 75.61185212*
     b3*b50 + 106.524378*b3*b51 + 73.67174578*b4*b5 + 70.53062256*b4*b6 + 
     31.50239652*b4*b7 + 104.834615*b4*b8 + 57.51698524*b4*b9 + 49.6043676*b4*
     b10 + 119.2437148*b4*b11 + 58.25657021*b4*b12 + 77.09483832*b4*b13 + 
     92.69837552*b4*b14 + 91.10054734*b4*b15 + 119.2433669*b4*b16 + 189.2832128
     *b4*b17 + 104.4729645*b4*b18 + 75.13924631*b4*b19 + 98.94880618*b4*b20 + 
     52.19472139*b4*b21 + 113.4260691*b4*b22 + 90.25051641*b4*b23 + 92.78518338
     *b4*b24 + 54.60403264*b4*b25 + 66.73083308*b4*b26 + 134.7608365*b4*b27 + 
     112.2641046*b4*b28 + 44.14772131*b4*b29 + 132.940161*b4*b30 + 106.9607758*
     b4*b31 + 120.330609*b4*b32 + 121.5785658*b4*b33 + 125.3269859*b4*b34 + 
     115.0220488*b4*b35 + 118.952924*b4*b36 + 77.8414456*b4*b37 + 26.30547557*
     b4*b38 + 109.0237387*b4*b39 + 95.80946573*b4*b40 + 67.99974922*b4*b41 + 
     196.7859552*b4*b42 + 90.53688659*b4*b43 + 102.1328329*b4*b44 + 113.733121*
     b4*b45 + 158.2468684*b4*b46 + 49.41871176*b4*b47 + 132.522553*b4*b48 + 
     78.09789819*b4*b49 + 98.17173554*b4*b50 + 138.3708399*b4*b51 + 117.898537*
     b5*b6 + 100.8722985*b5*b7 + 90.29587369*b5*b8 + 76.22827958*b5*b9 + 
     111.8336812*b5*b10 + 124.5899935*b5*b11 + 167.733854*b5*b12 + 149.7856309*
     b5*b13 + 132.9450549*b5*b14 + 26.32439615*b5*b15 + 95.88323855*b5*b16 + 
     83.02509903*b5*b17 + 99.21343163*b5*b18 + 48.02508988*b5*b19 + 115.6125624
     *b5*b20 + 92.33520467*b5*b21 + 105.7365853*b5*b22 + 125.5825067*b5*b23 + 
     73.65128592*b5*b24 + 119.7641255*b5*b25 + 87.94821868*b5*b26 + 78.73521225
     *b5*b27 + 125.9384431*b5*b28 + 161.7379844*b5*b29 + 66.13318761*b5*b30 + 
     30.26411227*b5*b31 + 75.29562848*b5*b32 + 81.04726421*b5*b33 + 39.61601392
     *b5*b34 + 77.99618664*b5*b35 + 138.453539*b5*b36 + 114.9841137*b5*b37 + 
     83.29353531*b5*b38 + 106.3169392*b5*b39 + 150.6838285*b5*b40 + 93.91164892
     *b5*b41 + 139.1898812*b5*b42 + 52.99086034*b5*b43 + 150.2406776*b5*b44 + 
     56.92622451*b5*b45 + 95.36474926*b5*b46 + 95.90172773*b5*b47 + 145.4105603
     *b5*b48 + 108.23993*b5*b49 + 86.81195094*b5*b50 + 87.46772188*b5*b51 + 
     119.9574045*b6*b7 + 158.3429472*b6*b8 + 142.7638808*b6*b9 + 63.19040966*b6
     *b10 + 139.2493065*b6*b11 + 113.5045222*b6*b12 + 29.21667448*b6*b13 + 
     157.9530569*b6*b14 + 91.12995269*b6*b15 + 126.4606754*b6*b16 + 113.1029698
     *b6*b17 + 22.66844114*b6*b18 + 137.20747*b6*b19 + 157.533949*b6*b20 + 
     160.1398011*b6*b21 + 80.40043001*b6*b22 + 158.9268877*b6*b23 + 134.8338409
     *b6*b24 + 149.9501047*b6*b25 + 87.80845373*b6*b26 + 116.3731052*b6*b27 + 
     82.41647052*b6*b28 + 128.7524421*b6*b29 + 111.0862449*b6*b30 + 157.3724038
     *b6*b31 + 161.0397443*b6*b32 + 104.6298884*b6*b33 + 40.01889667*b6*b34 + 
     155.4855828*b6*b35 + 79.43811364*b6*b36 + 135.1906711*b6*b37 + 108.2043273
     *b6*b38 + 120.0256919*b6*b39 + 113.6277704*b6*b40 + 111.6697543*b6*b41 + 
     87.31930433*b6*b42 + 129.568835*b6*b43 + 27.7457987*b6*b44 + 138.2024041*
     b6*b45 + 39.49927051*b6*b46 + 136.0192313*b6*b47 + 70.92570001*b6*b48 + 
     68.16967657*b6*b49 + 173.8124574*b6*b50 + 162.633327*b6*b51 + 148.0908222*
     b7*b8 + 61.31145757*b7*b9 + 145.1198214*b7*b10 + 102.5075014*b7*b11 + 
     110.4547658*b7*b12 + 85.54706271*b7*b13 + 57.45786227*b7*b14 + 106.904511*
     b7*b15 + 181.3713299*b7*b16 + 132.5192024*b7*b17 + 106.5327822*b7*b18 + 
     87.11609344*b7*b19 + 62.53241761*b7*b20 + 96.49945377*b7*b21 + 96.1104281*
     b7*b22 + 112.9978632*b7*b23 + 91.18029519*b7*b24 + 108.9172915*b7*b25 + 
     163.6528905*b7*b26 + 109.2841495*b7*b27 + 68.88160344*b7*b28 + 95.14090513
     *b7*b29 + 136.0705376*b7*b30 + 37.58882545*b7*b31 + 166.613646*b7*b32 + 
     60.89192085*b7*b33 + 80.4122976*b7*b34 + 77.48380309*b7*b35 + 86.87206048*
     b7*b36 + 68.61126726*b7*b37 + 109.7000253*b7*b38 + 88.70946165*b7*b39 + 
     96.58806949*b7*b40 + 41.88043848*b7*b41 + 135.9056861*b7*b42 + 112.9208807
     *b7*b43 + 169.3908803*b7*b44 + 66.15694568*b7*b45 + 90.37598728*b7*b46 + 
     177.4771673*b7*b47 + 102.4593253*b7*b48 + 140.1170238*b7*b49 + 173.1498989
     *b7*b50 + 129.3898178*b7*b51 + 39.21783748*b8*b9 + 132.5188128*b8*b10 + 
     46.46704323*b8*b11 + 137.7099305*b8*b12 + 76.65734033*b8*b13 + 108.7875925
     *b8*b14 + 80.1635819*b8*b15 + 63.26894882*b8*b16 + 80.41805954*b8*b17 + 
     92.14483341*b8*b18 + 113.8651855*b8*b19 + 85.73752137*b8*b20 + 103.7324542
     *b8*b21 + 139.9056887*b8*b22 + 33.59877102*b8*b23 + 158.889712*b8*b24 + 
     104.7426085*b8*b25 + 38.19787292*b8*b26 + 55.67580601*b8*b27 + 107.1279185
     *b8*b28 + 128.9779794*b8*b29 + 102.7983434*b8*b30 + 98.9357908*b8*b31 + 
     78.30037217*b8*b32 + 76.89638322*b8*b33 + 127.1773591*b8*b34 + 152.0671995
     *b8*b35 + 166.0076916*b8*b36 + 99.18585237*b8*b37 + 115.0883814*b8*b38 + 
     40.79729181*b8*b39 + 115.4411663*b8*b40 + 49.7853502*b8*b41 + 124.9009689*
     b8*b42 + 137.9281094*b8*b43 + 93.71701692*b8*b44 + 87.27354141*b8*b45 + 
     59.55728789*b8*b46 + 131.9675854*b8*b47 + 35.58870562*b8*b48 + 84.58770578
     *b8*b49 + 129.9824037*b8*b50 + 69.9592786*b8*b51 + 119.2745793*b9*b10 + 
     63.81311774*b9*b11 + 78.84393737*b9*b12 + 60.03523318*b9*b13 + 131.3404047
     *b9*b14 + 80.14461639*b9*b15 + 107.7651824*b9*b16 + 79.67403142*b9*b17 + 
     69.1529279*b9*b18 + 167.307273*b9*b19 + 106.5143231*b9*b20 + 116.6065299*
     b9*b21 + 36.38700268*b9*b22 + 90.01126147*b9*b23 + 121.5633257*b9*b24 + 
     73.51347655*b9*b25 + 58.10226181*b9*b26 + 144.0154848*b9*b27 + 135.8685368
     *b9*b28 + 86.25988542*b9*b29 + 99.92393064*b9*b30 + 86.27177287*b9*b31 + 
     123.5113417*b9*b32 + 156.4053134*b9*b33 + 100.2309011*b9*b34 + 82.61721378
     *b9*b35 + 46.61776349*b9*b36 + 89.68909643*b9*b37 + 127.6126946*b9*b38 + 
     101.7356905*b9*b39 + 151.9278047*b9*b40 + 78.99790093*b9*b41 + 34.13931684
     *b9*b42 + 155.62976*b9*b43 + 91.49677714*b9*b44 + 120.5042288*b9*b45 + 
     146.6027492*b9*b46 + 117.1732194*b9*b47 + 60.40005788*b9*b48 + 84.97077171
     *b9*b49 + 111.1798259*b9*b50 + 134.1708543*b9*b51 + 90.70326342*b10*b11 + 
     154.4576264*b10*b12 + 118.1093113*b10*b13 + 69.81173087*b10*b14 + 
     142.7830054*b10*b15 + 159.7230054*b10*b16 + 137.4117966*b10*b17 + 
     64.42380767*b10*b18 + 144.3228907*b10*b19 + 77.3344516*b10*b20 + 
     63.72653655*b10*b21 + 67.99847527*b10*b22 + 150.9870579*b10*b23 + 
     107.7748176*b10*b24 + 111.0609305*b10*b25 + 66.55946705*b10*b26 + 
     170.8296558*b10*b27 + 67.29149572*b10*b28 + 140.7888483*b10*b29 + 
     173.0872212*b10*b30 + 117.2344869*b10*b31 + 97.52169006*b10*b32 + 
     75.63724828*b10*b33 + 58.69015686*b10*b34 + 65.56748113*b10*b35 + 
     114.7671035*b10*b36 + 128.0849753*b10*b37 + 151.0148497*b10*b38 + 
     159.4648245*b10*b39 + 84.00437623*b10*b40 + 128.7702912*b10*b41 + 
     39.89366349*b10*b42 + 160.2434815*b10*b43 + 72.35063997*b10*b44 + 
     108.4838583*b10*b45 + 80.28253738*b10*b46 + 135.0847393*b10*b47 + 
     64.45412454*b10*b48 + 113.9047287*b10*b49 + 44.44528544*b10*b50 + 
     102.9181375*b10*b51 + 97.75084041*b11*b12 + 150.6264959*b11*b13 + 
     54.64115845*b11*b14 + 127.028973*b11*b15 + 90.20378904*b11*b16 + 
     154.9255698*b11*b17 + 60.05234914*b11*b18 + 131.3401613*b11*b19 + 
     126.1976295*b11*b20 + 54.19829713*b11*b21 + 32.74809704*b11*b22 + 
     148.9268208*b11*b23 + 113.2732661*b11*b24 + 50.31011158*b11*b25 + 
     98.6828268*b11*b26 + 17.37338462*b11*b27 + 127.8418808*b11*b28 + 
     87.54582756*b11*b29 + 127.1013907*b11*b30 + 156.4867971*b11*b31 + 
     77.88864597*b11*b32 + 97.89407695*b11*b33 + 83.46924693*b11*b34 + 
     82.31707705*b11*b35 + 105.6254752*b11*b36 + 89.82545402*b11*b37 + 
     103.6391851*b11*b38 + 53.68335344*b11*b39 + 103.1606015*b11*b40 + 
     24.04525695*b11*b41 + 96.25014214*b11*b42 + 155.0513941*b11*b43 + 
     145.58107*b11*b44 + 56.12611561*b11*b45 + 125.7277316*b11*b46 + 
     140.8870704*b11*b47 + 175.4722341*b11*b48 + 133.7397396*b11*b49 + 
     52.15347457*b11*b50 + 134.8458724*b11*b51 + 156.7555826*b12*b13 + 
     84.1471903*b12*b14 + 132.7360588*b12*b15 + 117.5813542*b12*b16 + 
     157.1369723*b12*b17 + 152.0418377*b12*b18 + 106.1886655*b12*b19 + 
     69.65970854*b12*b20 + 41.16291849*b12*b21 + 142.6677323*b12*b22 + 100.2146
     *b12*b23 + 88.03477897*b12*b24 + 162.4492253*b12*b25 + 70.30405545*b12*b26
      + 121.8078619*b12*b27 + 117.6718373*b12*b28 + 138.7174324*b12*b29 + 
     48.64798968*b12*b30 + 70.91214465*b12*b31 + 108.5992482*b12*b32 + 
     155.8398559*b12*b33 + 89.50878909*b12*b34 + 175.3406056*b12*b35 + 
     84.77288823*b12*b36 + 66.47779108*b12*b37 + 108.1749622*b12*b38 + 
     98.08534729*b12*b39 + 105.7639425*b12*b40 + 162.3653315*b12*b41 + 
     46.49393413*b12*b42 + 74.63274688*b12*b43 + 15.40853041*b12*b44 + 
     115.7412549*b12*b45 + 84.1573174*b12*b46 + 74.11448274*b12*b47 + 
     43.30858109*b12*b48 + 40.13436033*b12*b49 + 76.20183338*b12*b50 + 
     67.36877261*b12*b51 + 126.0288548*b13*b14 + 164.837193*b13*b15 + 
     124.2504715*b13*b16 + 106.5781102*b13*b17 + 157.7456863*b13*b18 + 
     86.58661274*b13*b19 + 71.37387591*b13*b20 + 137.9525767*b13*b21 + 
     89.44499307*b13*b22 + 164.0475916*b13*b23 + 71.17094327*b13*b24 + 
     132.448208*b13*b25 + 75.89677973*b13*b26 + 147.3969489*b13*b27 + 
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     118.9212058*b36*b39 + 32.26461097*b36*b40 + 82.01387144*b36*b41 + 
     103.866838*b36*b42 + 156.8124101*b36*b43 + 164.3612079*b36*b44 + 
     90.68376894*b36*b45 + 69.01446445*b36*b46 + 85.80298634*b36*b47 + 
     139.0733462*b36*b48 + 98.80573495*b36*b49 + 21.78012625*b36*b50 + 
     71.90488173*b36*b51 + 67.7731994*b37*b38 + 78.43309325*b37*b39 + 
     96.43347475*b37*b40 + 65.2368569*b37*b41 + 107.924378*b37*b42 + 
     162.1418457*b37*b43 + 123.2148813*b37*b44 + 54.35114824*b37*b45 + 
     143.6857396*b37*b46 + 79.18426319*b37*b47 + 137.3966134*b37*b48 + 
     78.33110942*b37*b49 + 134.7395549*b37*b50 + 126.3921704*b37*b51 + 
     128.5665793*b38*b39 + 92.59592619*b38*b40 + 94.77539995*b38*b41 + 
     119.5475581*b38*b42 + 125.6881844*b38*b43 + 122.1920493*b38*b44 + 
     62.04583598*b38*b45 + 88.38839709*b38*b46 + 92.0013932*b38*b47 + 
     153.2353773*b38*b48 + 82.53748361*b38*b49 + 53.03282004*b38*b50 + 
     150.7441362*b38*b51 + 35.43451758*b39*b40 + 109.833093*b39*b41 + 
     95.97845809*b39*b42 + 72.19575473*b39*b43 + 141.9129322*b39*b44 + 
     111.3814496*b39*b45 + 82.35531455*b39*b46 + 51.2206178*b39*b47 + 
     132.1654745*b39*b48 + 137.6578303*b39*b49 + 88.7472689*b39*b50 + 
     149.0558232*b39*b51 + 153.813894*b40*b41 + 99.81969066*b40*b42 + 
     93.23710551*b40*b43 + 156.6465305*b40*b44 + 149.0225481*b40*b45 + 
     101.2827188*b40*b46 + 67.30261633*b40*b47 + 110.9968507*b40*b48 + 
     59.43201671*b40*b49 + 66.805799*b40*b50 + 100.333342*b40*b51 + 88.08616342
     *b41*b42 + 58.11173132*b41*b43 + 74.42330494*b41*b44 + 122.1650133*b41*b45
      + 113.7444988*b41*b46 + 32.70688195*b41*b47 + 76.75513181*b41*b48 + 
     86.34214611*b41*b49 + 105.2782828*b41*b50 + 147.071093*b41*b51 + 
     76.57504135*b42*b43 + 15.29732455*b42*b44 + 72.65559463*b42*b45 + 
     107.1374573*b42*b46 + 106.2405853*b42*b47 + 53.98463919*b42*b48 + 
     77.39369588*b42*b49 + 173.2005817*b42*b50 + 123.7568275*b42*b51 + 
     118.1827146*b43*b44 + 93.76581433*b43*b45 + 90.66002579*b43*b46 + 
     55.774156*b43*b47 + 164.3721771*b43*b48 + 101.8925704*b43*b49 + 
     106.8941932*b43*b50 + 168.1935161*b43*b51 + 120.2729703*b44*b45 + 
     94.86729173*b44*b46 + 105.5821436*b44*b47 + 112.0099721*b44*b48 + 
     92.70304762*b44*b49 + 120.1613239*b44*b50 + 40.85560679*b44*b51 + 
     115.7377874*b45*b46 + 53.74434799*b45*b47 + 101.9682217*b45*b48 + 
     111.3541481*b45*b49 + 122.6294722*b45*b50 + 27.60828781*b45*b51 + 
     45.08544873*b46*b47 + 124.3996695*b46*b48 + 86.86142134*b46*b49 + 
     85.28435731*b46*b50 + 110.5354949*b46*b51 + 149.7762757*b47*b48 + 
     62.8439572*b47*b49 + 70.90320676*b47*b50 + 138.2046554*b47*b51 + 
     104.0118747*b48*b49 + 72.89420888*b48*b50 + 47.72992222*b48*b51 + 
     23.03725736*b49*b50 + 108.7832821*b49*b51 + 33.96501378*b50*b51 - objvar
      =E= 0;

e2..    b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13 + b14
      + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25 + b26
      + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38
      + b39 + b40 + b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50
      + b51 =E= 10;

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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