MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance du-opt
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 3.55571120 (ALPHAECP) -0.37591056 (ANTIGONE) 3.55634005 (BARON) 3.55634005 (BONMIN) -2884.89601000 (COUENNE) 3.55634005 (CPLEX) 3.55634005 (GUROBI) 3.55634005 (LINDO) 3.55633956 (SCIP) 3.55634005 (SHOT) |
| Sourceⓘ | Bram Schoonen's Model Collection |
| Added to libraryⓘ | 25 Jul 2002 |
| Problem typeⓘ | MIQP |
| #Variablesⓘ | 20 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 13 |
| #Nonlinear Variablesⓘ | 20 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 13 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 20 |
| #Nonlinear Nonzeros in Objectiveⓘ | 20 |
| #Constraintsⓘ | 9 |
| #Linear Constraintsⓘ | 9 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 26 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 400 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 20 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 20 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 20 |
| Average blocksize in Hessian of Lagrangianⓘ | 20.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 2.3513e-06 |
| Maximal coefficientⓘ | 8.1234e+02 |
| Infeasibility of initial pointⓘ | 38 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 10 1 6 3 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 21 8 0 13 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 47 27 20 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,x14,x15,x16,x17,x18,x19
,x20,objvar;
Positive Variables x15;
Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;
e1.. -(sqr((-0.7218179833) + 0.109998945*i1 + 0.0233959355*i2 - 4.58859e-5*i3
- 0.0002277963*i4 + 0.1034669954*i5 + 0.0250971293*i6 + 0.0155411331*i7
+ 0.0108014479*i8 + 0.0045137101*i9 + 5.79036e-5*i10 + 4.6583e-5*i11 -
4.49004e-5*i12 - 0.0002233547*i13 + 25.6672504104*x14 - 0.6845946712*x15
+ 0.1535300974*x16 - 0.0933139579*x17 + 0.4614083343*x18 - 0.0641379463*
x19 + 0.7660466359*x20) + 0.64*sqr(6.0625297988 - 0.0412432802*i1 -
0.0977224635*i2 - 2.99531e-5*i3 + 2.19582e-5*i4 - 0.0404334455*i5 -
0.0036426374*i6 - 0.0023078396*i7 - 0.0017816172*i8 - 0.0534985628*i9 -
9.84543e-5*i10 - 4.95918e-5*i11 - 3.7099e-6*i12 + 0.0001434197*i13 +
42.9101274821*x14 + 0.2915268667*x15 - 0.2170048789*x16 + 0.004584997*x17
+ 0.0358768521*x18 - 0.0026046819*x19 - 0.0659624243*x20) + sqr((-
3.4964885411) + 0.4743717354*i1 + 0.1020157564*i2 - 0.0002031502*i3 -
0.0010662478*i4 + 0.4666550138*i5 + 0.1314268225*i6 + 0.084416812*i7 +
0.0654657324*i8 + 0.01782331*i9 + 4.90424e-5*i10 + 0.0002019234*i11 -
5.9754e-5*i12 - 0.0008357089*i13 + 117.0980126167*x14 - 4.4993202945*x15
+ 0.3643926817*x16 - 0.3496847607*x17 + 1.0892794617*x18 - 0.3623631585*
x19 + 4.9211060051*x20) + 0.64*sqr(14.9681958649 - 0.0904443982*i1 -
0.2422030626*i2 - 4.81325e-5*i3 + 6.32651e-5*i4 - 0.0912625633*i5 -
0.0091396804*i6 - 0.0057223094*i7 - 0.0057218804*i8 - 0.1313310662*i9 -
0.0001386674*i10 - 9.56742e-5*i11 - 3.61025e-5*i12 + 0.0002902713*i13 +
107.758560078*x14 + 0.8779839107*x15 - 0.7455513768*x16 - 0.0041815651*x17
+ 0.2339673006*x18 - 0.0188546046*x19 - 0.0721138144*x20) + sqr((-
10.0395122378) + 1.1841807559*i1 + 0.2536871508*i2 - 0.000504313*i3 -
0.0029079317*i4 + 1.2051591944*i5 + 0.3899446443*i6 + 0.2645788473*i7 +
0.2308894513*i8 + 0.037835822*i9 - 0.0005927225*i10 + 0.0006435569*i11 +
0.0001857575*i12 - 0.0014105165*i13 + 307.4529463057*x14 - 15.1780937915*
x15 + 0.8257601211*x16 - 0.7326525441*x17 + 0.9539276158*x18 -
1.1866139503*x19 + 19.1856490596*x20) + 0.64*sqr(29.1812808818 -
0.1505133307*i1 - 0.4733849216*i2 - 6.6772e-6*i3 + 0.0001616999*i4 -
0.1525298733*i5 - 0.013887604*i6 - 0.0089085314*i7 - 0.012068192*i8 -
0.2546447213*i9 - 3.41376e-5*i10 - 0.0001166405*i11 - 0.0001495758*i12 +
0.0004938578*i13 + 218.6403200779*x14 + 1.2343329355*x15 - 2.7282000308*
x16 - 0.0389929967*x17 + 0.6694703489*x18 - 0.100837974*x19 + 0.7305808787
*x20) + sqr((-23.7020755551) + 2.3708502127*i1 + 0.5195662306*i2 -
0.0008477105*i3 - 0.0068346834*i4 + 2.4514220089*i5 + 0.8661311066*i6 +
0.6237286445*i7 + 0.5914661375*i8 + 0.0784555045*i9 - 0.0027211116*i10 +
0.0026993491*i11 + 0.0004810095*i12 - 0.0010923505*i13 + 643.3290493179*
x14 - 27.7561017376*x15 + 8.0186395117*x16 - 1.2672557345*x17 -
0.4706787663*x18 - 2.8653875681*x19 + 59.2034194606*x20) + 0.64*sqr(
51.4300329684 - 0.2234856666*i1 - 0.8374419222*i2 + 0.0003145414*i3 +
0.0006754657*i4 - 0.2212388548*i5 - 0.0117941003*i6 - 0.0059571079*i7 -
0.0173358628*i8 - 0.4490822392*i9 + 0.0004791788*i10 + 5.62011e-5*i11 -
0.0005546644*i12 + 0.0009739492*i13 + 407.9383501237*x14 - 1.6716467509*
x15 - 8.9148857096*x16 - 0.1461956666*x17 + 1.8262409945*x18 -
0.3641018035*x19 + 6.6067986768*x20) + sqr(1.5205390249 + 0.0016574761*i1
- 0.0047143999*i2 - 0.0049142443*i3 - 0.0023612315*i4 + 0.0010244274*i5
+ 0.0012504326*i6 + 0.0008633596*i7 + 0.000644332*i8 + 0.0006879339*i9 -
0.0003898037*i10 - 0.0044686618*i11 - 0.002670126*i12 + 6.14008e-5*i13 +
0.3179776364*x14 + 2.1638530828*x15 + 8.7870371217*x16 + 0.0179414544*x17
- 0.3506843253*x18 + 0.0249174581*x19 - 0.0707439832*x20) + 0.64*sqr((-
1.0705236795) - 0.0004960452*i1 + 0.0027535897*i2 + 0.0015616094*i3 +
0.0030231273*i4 - 0.0005203089*i5 - 0.000524428*i6 - 0.0008124192*i7 -
0.000120356*i8 + 0.0006398551*i9 + 0.0017502319*i10 + 0.0013384171*i11 +
0.0007672716*i12 + 3.3045e-6*i13 - 0.2278089449*x14 - 16.9817650317*x15 -
13.5358723599*x16 - 0.0073805759*x17 + 0.0464963135*x18 - 0.0013299842*x19
+ 0.0223486039*x20) + 0.0001*sqr(1.9787606911 - 0.0140777027*i1 -
0.0092284949*i2 - 7.69383e-5*i3 - 0.0008575465*i4 - 0.0247761473*i5 -
0.0230188689*i6 - 0.0286149497*i7 - 0.0302855775*i8 - 0.0124768477*i9 +
0.0001666727*i10 + 0.0011894631*i11 + 0.001945323*i12 - 0.0002322853*i13
- 8.1494297476*x14 + 1.2112563557*x15 - 1.0244950034*x16 - 0.0397435234*
x17 + 0.3761970557*x18 + 0.3968598514*x19 - 13.9072845464*x20) + 0.16*sqr(
(-1.2363027807) + 0.0606986501*i1 - 0.0027926299*i2 + 0.0013158327*i3 +
0.0057745025*i4 + 0.0538069931*i5 + 0.0243317611*i6 + 0.0144922688*i7 +
0.0094251612*i8 - 0.0088671854*i9 + 0.0046728622*i10 + 0.0030260521*i11 +
0.0022528517*i12 + 0.0003454089*i13 - 11.5441497882*x14 + 8.6339417127*x15
+ 3.0878470794*x16 - 0.1539564087*x17 + 1.2956126461*x18 - 0.2281345018*
x19 + 1.2655596015*x20) + sqr(1.0696475202 + 0.108777336*i1 + 0.0161504276
*i2 - 0.0055453119*i3 - 0.0029763136*i4 + 0.0988637135*i5 + 0.0230518007*
i6 + 0.0141451127*i7 + 0.0092098087*i8 + 0.0048936457*i9 - 0.0003706211*
i10 - 0.0045875314*i11 - 0.0025188137*i12 - 5.88752e-5*i13 + 25.3489456455
*x14 + 2.0315152176*x15 + 9.784645976*x16 - 0.0858756841*x17 +
0.2913560986*x18 - 0.0176306534*x19 + 0.4233453864*x20) + sqr(3.7253595801
- 0.075895616*i1 - 0.033308761*i2 - 0.0076936261*i3 - 0.0023553179*i4 -
0.073930358*i5 - 0.0179037565*i6 - 0.0090440794*i7 - 0.0078909669*i8 -
0.0073447322*i9 - 0.0004806952*i10 - 0.0070242719*i11 - 0.0044029984*i12
- 0.0003709394*i13 - 5.3086746864*x14 + 1.324393925*x15 + 9.8395107194*
x16 + 0.0835697813*x17 - 0.559990113*x18 + 0.0882573076*x19 - 0.8702943348
*x20) + 0.64*sqr(6.0105079707 - 0.0423830939*i1 - 0.0966975232*i2 -
0.0001505861*i3 + 0.0001386454*i4 - 0.0412563344*i5 - 0.0035437896*i6 -
0.0021618442*i7 - 0.0016011984*i8 - 0.0531058373*i9 - 4.73722e-5*i10 -
0.0002472853*i11 - 0.0001874507*i12 + 0.0001328949*i13 + 42.287929839*x14
- 0.4406355124*x15 - 0.2701371681*x16 + 0.006536567*x17 + 0.0072686485*
x18 - 0.0017404103*x19 - 0.0555149205*x20) + 0.64*sqr((-0.8439928522) -
0.0034204879*i1 + 0.0003120168*i2 + 0.0014706184*i3 + 0.0029278191*i4 -
0.0024025221*i5 - 0.0003088925*i6 - 0.0006351334*i7 + 0.0001400931*i8 -
0.0010774108*i9 + 0.0016335831*i10 + 0.0011916896*i11 + 0.0006333799*i12
+ 2.3513e-6*i13 + 1.1667799922*x14 - 16.1521973658*x15 - 12.7763196896*
x16 - 0.0029281577*x17 - 0.0074349867*x18 - 0.0001382348*x19 +
0.0310644996*x20) + 0.0001*sqr(3.8361669057 - 0.0088650691*i1 -
0.027297845*i2 + 0.0001942472*i3 - 0.0010950468*i4 - 0.0233645944*i5 -
0.0302422233*i6 - 0.0500220544*i7 - 0.0565055513*i8 - 0.0263114686*i9 +
0.0019305253*i10 + 0.0021950699*i11 + 0.0039928037*i12 - 0.000421782*i13
- 17.9119743477*x14 + 2.1182361999*x15 - 2.8424893661*x16 + 0.0490655808*
x17 - 0.3240083732*x18 + 0.6257146478*x19 - 29.8931414536*x20) + 0.16*sqr(
(-5.5877726318) + 0.2296179664*i1 - 0.0073360485*i2 + 0.0051226739*i3 +
0.0217771574*i4 + 0.2255766687*i5 + 0.1200081359*i6 + 0.0766999943*i7 +
0.0554677112*i8 - 0.0295155687*i9 + 0.0175713047*i10 + 0.0111367848*i11 +
0.0077548382*i12 + 0.0014120662*i13 - 41.9083056697*x14 + 30.9460857583*
x15 + 11.7762638807*x16 - 0.4879869942*x17 + 3.0804388516*x18 -
1.1873441589*x19 + 8.9588206656*x20) + sqr((-0.6688058813) + 0.4625093993*
i1 + 0.0856630954*i2 - 0.0073957704*i3 - 0.0047973714*i4 + 0.4452013205*i5
+ 0.1152938351*i6 + 0.0712927223*i7 + 0.0503418969*i8 + 0.0169817766*i9
- 0.0003043091*i10 - 0.0047378871*i11 - 0.0021361526*i12 - 0.0004760507*
i13 + 114.5668136229*x14 + 0.1243165441*x15 + 11.9843516021*x16 -
0.3535818823*x17 + 1.1284243163*x18 - 0.2301405927*x19 + 3.0148825878*x20)
+ sqr(6.5525257248 - 0.1241870163*i1 - 0.0536602159*i2 - 0.0141424812*i3
- 0.0041277783*i4 - 0.1370171489*i5 - 0.0491673352*i6 - 0.0294082977*i7
- 0.0295916798*i8 - 0.0103063839*i9 - 0.0005794342*i10 - 0.0120270278*i11
- 0.0070370341*i12 - 0.0005822378*i13 - 13.3700983917*x14 + 3.5575652001*
x15 + 15.9354642568*x16 + 0.0837321797*x17 - 0.2374101362*x18 +
0.2291951229*x19 - 3.1033858692*x20) + 0.64*sqr(14.8037013717 -
0.0927962332*i1 - 0.239026571*i2 - 0.0003350288*i3 + 0.0001707769*i4 -
0.0940082779*i5 - 0.0090743157*i6 - 0.0052075796*i7 - 0.0049432367*i8 -
0.130291969*i9 - 0.000130393*i10 - 0.0005243999*i11 - 0.0003514537*i12 +
0.0002839231*i13 + 105.2928430205*x14 - 0.5090195889*x15 - 0.5559139461*
x16 - 0.001884071*x17 + 0.2028909215*x18 - 0.0113540425*x19 - 0.1161260005
*x20) + 0.64*sqr((-0.2711632143) - 0.0102954229*i1 - 0.006122584*i2 +
0.0012521468*i3 + 0.0026005078*i4 - 0.0084341659*i5 - 0.0001608865*i6 -
0.0001650072*i7 + 0.0011062956*i8 - 0.0054116563*i9 + 0.0012844339*i10 +
0.0008302662*i11 + 0.0003743032*i12 + 8.2607e-6*i13 + 4.2749976192*x14 -
13.9639192437*x15 - 10.8648952369*x16 + 0.0046091996*x17 - 0.0617617291*
x18 + 0.0109049916*x19 - 0.024829922*x20) + 0.0001*sqr(4.7368865 -
0.0179521837*i1 - 0.0324999755*i2 + 0.0001877057*i3 - 0.0014861555*i4 -
0.0207352794*i5 - 0.0283829651*i6 - 0.0645153989*i7 - 0.0603615854*i8 -
0.0455161822*i9 + 0.0011104169*i10 + 0.0014246164*i11 + 0.004399654*i12 -
0.0025487765*i13 - 28.5532641368*x14 + 3.7291549175*x15 - 5.1441052974*x16
+ 0.1161311806*x17 - 1.4551474166*x18 + 0.7094975709*x19 - 43.6065360868*
x20) + 0.16*sqr((-14.6237193582) + 0.4703706128*i1 + 0.0095015391*i2 +
0.0107788871*i3 + 0.0442574417*i4 + 0.5081887828*i5 + 0.3135069575*i6 +
0.2159907851*i7 + 0.1806946774*i8 - 0.0464209789*i9 + 0.0344331825*i10 +
0.0221598537*i11 + 0.0139587185*i12 + 0.0031293169*i13 - 74.0327234359*x14
+ 59.0811380719*x15 + 22.6183807248*x16 - 0.8777959059*x17 + 3.7972647124
*x18 - 3.4732150542*x19 + 35.9883905408*x20) + sqr((-4.742827527) +
1.1409846015*i1 + 0.2174097748*i2 - 0.0102121922*i3 - 0.0076844543*i4 +
1.1491043521*i5 + 0.3409735732*i6 + 0.2159827038*i7 + 0.1720041292*i8 +
0.0317109219*i9 - 0.0001185329*i10 - 0.0046123931*i11 - 0.001551773*i12 -
0.0011383077*i13 + 299.4383227892*x14 - 7.4791629824*x15 + 15.0249048147*
x16 - 0.7189464072*x17 + 1.1858655471*x18 - 0.8355843028*x19 +
11.3520280307*x20) + sqr(8.7874647257 - 0.1535764498*i1 - 0.0636508743*i2
- 0.0190249178*i3 - 0.0046863862*i4 - 0.1835500731*i5 - 0.0911962696*i6
- 0.0644433402*i7 - 0.07637679*i8 - 0.0109485707*i9 + 0.0001440146*i10 -
0.0146320903*i11 - 0.0080348173*i12 - 0.0008824001*i13 - 25.642445996*x14
+ 6.1510841152*x15 + 17.3139236759*x16 + 0.0327173388*x17 + 0.3041107825*
x18 + 0.4167065057*x19 - 8.389949878*x20) + 0.64*sqr(28.7139260236 -
0.1528363362*i1 - 0.4639595922*i2 - 0.0005899734*i3 - 0.0001363739*i4 -
0.1574288315*i5 - 0.014794976*i6 - 0.007899692*i7 - 0.010742359*i8 -
0.251023988*i9 - 0.000352116*i10 - 0.0007996019*i11 - 0.0005210174*i12 +
0.0004703318*i13 + 210.7366501966*x14 - 0.4820761867*x15 - 1.5088768249*
x16 - 0.0334770967*x17 + 0.57319738*x18 - 0.0590174758*x19 + 0.0028596741*
x20) + 0.64*sqr(0.3457787122 - 0.0161705598*i1 - 0.0124112057*i2 +
0.0009498183*i3 + 0.0019433781*i4 - 0.0165157634*i5 - 0.0019802806*i6 -
0.0001641793*i7 + 0.0017883958*i8 - 0.0097508262*i9 + 0.0006660726*i10 +
0.0003906614*i11 + 0.0001670015*i12 - 9.8812e-6*i13 + 5.6620080256*x14 -
10.7222556951*x15 - 8.0483203578*x16 + 0.0160387494*x17 - 0.1211418715*x18
+ 0.0539193344*x19 - 0.6024547036*x20) + 0.16*sqr((-30.9984760322) +
0.7501496025*i1 + 0.091631133*i2 + 0.0189532866*i3 + 0.071209475*i4 +
0.8691242467*i5 + 0.5911179615*i6 + 0.440636915*i7 + 0.4064826358*i8 -
0.0227243008*i9 + 0.0529781278*i10 + 0.0356056482*i11 + 0.0192254774*i12
+ 0.0085772439*i13 - 56.342960691*x14 + 88.7586686673*x15 + 31.5826614981
*x16 - 1.3557460277*x17 + 3.9043216717*x18 - 8.0614504732*x19 +
122.9145364338*x20) + sqr((-11.3598350491) + 2.2433003606*i1 +
0.3965325948*i2 - 0.0133497179*i3 - 0.011748375*i4 + 2.312159801*i5 +
0.7536961363*i6 + 0.4878761411*i7 + 0.4391322777*i8 + 0.0172795967*i9 +
0.0003869474*i10 - 0.0048174588*i11 - 0.0003265422*i12 - 0.0019476982*i13
+ 604.6261109412*x14 - 31.8275450762*x15 + 22.3021114905*x16 -
1.1078810785*x17 - 0.0513668537*x18 - 1.9954801737*x19 + 28.0530826925*x20
) + sqr(12.1379962226 - 0.2277017049*i1 - 0.091141468*i2 - 0.0227388896*i3
- 0.0030743255*i4 - 0.2616367427*i5 - 0.1419935836*i6 - 0.1154940945*i7
- 0.1507188696*i8 - 0.0254442327*i9 + 0.001796488*i10 - 0.0164620351*i11
- 0.0079883882*i12 - 0.0014234879*i13 - 54.2871786886*x14 + 1.6486577747*
x15 + 9.9342805153*x16 - 0.0494461107*x17 + 1.59320066*x18 + 0.6872677378*
x19 - 21.0483328068*x20) + 0.64*sqr(49.277241262 - 0.2163075465*i1 -
0.7938092282*i2 - 0.0010986197*i3 - 0.0015188105*i4 - 0.2196119607*i5 -
0.0134240514*i6 - 0.0076745243*i7 - 0.0146132646*i8 - 0.4267100558*i9 -
0.0010060279*i10 - 0.0013702202*i11 - 0.0005229596*i12 + 0.0008915738*i13
+ 378.332229536*x14 - 2.0382852627*x15 - 3.8306759867*x16 - 0.0638064923*
x17 + 0.8796449423*x18 - 0.1901924983*x19 + 0.0196078677*x20) + 0.64*sqr((
-0.3252071332) - 0.0130312793*i1 + 0.0056296892*i2 + 0.0003729619*i3 +
0.0005646842*i4 - 0.0187752972*i5 - 0.0070031283*i6 - 0.0022324933*i7 +
0.0010766025*i8 + 0.0013045532*i9 - 0.0005210538*i10 - 0.0001687226*i11 +
0.000238775*i12 - 0.0002689523*i13 - 7.4785361452*x14 - 6.3098285835*x15
- 3.0022136691*x16 + 0.0557080781*x17 - 0.4336150459*x18 + 0.2358490882*
x19 - 5.3316404952*x20) + sqr(6.1126533342 + 0.0063571711*i1 -
0.0210288641*i2 - 0.0192924286*i3 - 0.0090860848*i4 + 0.0040562184*i5 +
0.0046781148*i6 + 0.003160636*i7 + 0.0022890179*i8 + 0.0018592833*i9 -
0.0015634745*i10 - 0.0179263104*i11 - 0.0110489292*i12 + 0.0003235049*i13
+ 1.3652462464*x14 + 7.9428825848*x15 + 34.7388067135*x16 + 0.0823525777*
x17 - 1.6195043446*x18 + 0.0909955211*x19 - 0.0850371218*x20) + 0.64*sqr((
-2.3683307173) - 0.0010534483*i1 + 0.0067978328*i2 + 0.003573349*i3 +
0.0063177541*i4 - 0.0011795262*i5 - 0.0010523756*i6 - 0.0017005199*i7 -
0.0002107428*i8 + 0.0015737049*i9 + 0.0037140954*i10 + 0.003230842*i11 +
0.0020336834*i12 + 2.367e-6*i13 - 0.548040633*x14 - 35.4912339934*x15 -
29.5664987967*x16 - 0.0180559302*x17 + 0.1599995255*x18 - 0.0030419667*x19
+ 0.0044670753*x20) + 0.0001*sqr(7.6499767981 - 0.0571502154*i1 -
0.0457308831*i2 - 0.0018548561*i3 - 0.0034541498*i4 - 0.111543805*i5 -
0.1055356012*i6 - 0.0898181821*i7 - 0.1133619848*i8 - 0.0222630329*i9 +
0.000501825*i10 + 0.0048081889*i11 + 0.0066599177*i12 + 0.0001004665*i13
- 24.1502370784*x14 + 3.590505155*x15 + 7.3127021637*x16 - 0.3184833839*
x17 + 4.5843524774*x18 + 1.6594965528*x19 - 39.2593229915*x20) + 0.16*sqr(
(-2.5260390338) + 0.1251859207*i1 - 0.0077038523*i2 + 0.0022670292*i3 +
0.0119125151*i4 + 0.1032640914*i5 + 0.0434589067*i6 + 0.0245384166*i7 +
0.0141492223*i8 - 0.0212842524*i9 + 0.0097511812*i10 + 0.0071436678*i11 +
0.006348892*i12 + 0.0012026933*i13 - 26.037191031*x14 + 18.9235979398*x15
+ 6.7656627646*x16 - 0.4166604188*x17 + 4.1351334135*x18 - 0.3816674126*
x19 + 1.1769320486*x20) + sqr(6.4101559959 + 0.1053781335*i1 - 0.007068748
*i2 - 0.0215428885*i3 - 0.0109009132*i4 + 0.0860906177*i5 + 0.018078682*i6
+ 0.0110470953*i7 + 0.0058774703*i8 + 0.0056105795*i9 - 0.0017546263*i10
- 0.0187391468*i11 - 0.010328613*i12 + 0.0006031714*i13 + 24.5823703006*
x14 + 9.3387785302*x15 + 38.5763378184*x16 - 0.0594883815*x17 -
0.2623967618*x18 + 0.1019703287*x19 - 0.11159399*x20) + sqr(8.0717357197
- 0.1589734385*i1 - 0.0692163791*i2 - 0.0171613374*i3 - 0.0050520949*i4
- 0.1518107465*i5 - 0.0331939768*i6 - 0.0156598481*i7 - 0.0132225385*i8
- 0.0150186389*i9 - 0.0011871055*i10 - 0.0169462197*i11 - 0.011646797*i12
- 0.0011891504*i13 - 10.8339562621*x14 + 2.3920432845*x15 + 23.8770409229
*x16 + 0.2047719702*x17 - 1.6516894952*x18 + 0.1550154879*x19 -
1.3059803643*x20) + 0.64*sqr(5.8701212763 - 0.0457735722*i1 - 0.0939732835
*i2 - 0.0004780001*i3 + 0.0004872865*i4 - 0.0434579543*i5 - 0.0033195608*
i6 - 0.0019177924*i7 - 0.0012353053*i8 - 0.0520762291*i9 + 9.71737e-5*i10
- 0.0008319018*i11 - 0.0008243862*i12 + 5.97876e-5*i13 + 40.4729903906*
x14 - 2.6146532755*x15 - 0.58046538*x16 + 0.0140750568*x17 - 0.1015166663*
x18 + 0.0010341359*x19 - 0.030965449*x20) + 0.64*sqr((-1.9000693551) -
0.0068584285*i1 + 0.0019101712*i2 + 0.0033262354*i3 + 0.0062132167*i4 -
0.0044003564*i5 - 0.0005850161*i6 - 0.0014089061*i7 + 0.0001755788*i8 -
0.0017169146*i9 + 0.0035203071*i10 + 0.0028735982*i11 + 0.0016086374*i12
- 3.27645e-5*i13 + 2.4205682873*x14 - 33.7265709729*x15 - 27.9573268564*
x16 - 0.0053157955*x17 - 0.0159966559*x18 - 0.0026557276*x19 +
0.0318094448*x20) + 0.0001*sqr(15.4460966615 - 0.1022940502*i1 -
0.1105460971*i2 - 0.0037780327*i3 - 0.0055846863*i4 - 0.1895478298*i5 -
0.1950630715*i6 - 0.1616726126*i7 - 0.22794103*i8 - 0.0711848201*i9 +
0.0028432697*i10 + 0.0086250769*i11 + 0.0114552524*i12 - 0.0019720262*i13
- 61.3668479856*x14 + 8.9259752968*x15 + 14.4396522548*x16 - 0.2530977597
*x17 + 4.2680343521*x18 + 3.2764060344*x19 - 85.9662948622*x20) + 0.16*
sqr((-10.2591752001) + 0.4568808671*i1 - 0.0279886225*i2 + 0.0086305745*i3
+ 0.0445209448*i4 + 0.4240071578*i5 + 0.209657602*i6 + 0.1280332449*i7 +
0.0789279496*i8 - 0.0732428132*i9 + 0.0360714267*i10 + 0.0265566502*i11 +
0.0214024511*i12 + 0.0042041311*i13 - 94.9931943965*x14 + 67.8238048618*
x15 + 25.5020193615*x16 - 1.2641528796*x17 + 8.6854605662*x18 -
1.9537231543*x19 + 9.2121201535*x20) + sqr(7.2545035424 + 0.4349505737*i1
+ 0.0387362456*i2 - 0.0281402193*i3 - 0.0159562915*i4 + 0.3872348952*i5
+ 0.0757452989*i6 + 0.042778296*i7 + 0.0187323889*i8 + 0.0154930433*i9 -
0.0020027406*i10 - 0.0200780741*i11 - 0.0083595959*i12 + 0.0011075045*i13
+ 106.9691650219*x14 + 12.3298154856*x15 + 47.7959005982*x16 -
0.3806894476*x17 + 1.3003567452*x18 + 0.097041998*x19 - 0.4923380619*x20)
+ sqr(13.9503196684 - 0.2559219795*i1 - 0.1105206902*i2 - 0.0313597509*i3
- 0.0095446568*i4 - 0.2838067687*i5 - 0.0922749482*i6 - 0.0499509638*i7
- 0.0468580924*i8 - 0.0204074307*i9 - 0.0020211226*i10 - 0.0292784894*i11
- 0.0179578576*i12 - 0.0014506444*i13 - 27.2483068958*x14 + 6.8357802598*
x15 + 39.7335986547*x16 + 0.1837391147*x17 - 0.6774943126*x18 +
0.4024494055*x19 - 4.4688504034*x20) + 0.64*sqr(14.3917445971 -
0.1005342031*i1 - 0.2305746472*i2 - 0.0011658462*i3 + 0.0007966507*i4 -
0.1022660917*i5 - 0.008999162*i6 - 0.0042244744*i7 - 0.0032236301*i8 -
0.1272220489*i9 + 0.000114597*i10 - 0.001862252*i11 - 0.001451677*i12 +
0.0002189005*i13 + 99.9026997721*x14 - 4.2794508863*x15 - 0.289880094*x16
+ 0.0048704372*x17 + 0.1224131652*x18 + 0.0060441225*x19 - 0.1593517642*
x20) + 0.64*sqr((-0.6911236333) - 0.0222018418*i1 - 0.0116935045*i2 +
0.0028226664*i3 + 0.005730231*i4 - 0.0167841756*i5 - 0.000142195*i6 -
0.0008539001*i7 + 0.0016396311*i8 - 0.011024342*i9 + 0.0029012839*i10 +
0.0019442541*i11 + 0.0007455887*i12 - 8.22757e-5*i13 + 8.9108175175*x14 -
29.2610239684*x15 - 24.0324296338*x16 + 0.0145771681*x17 - 0.1432295058*
x18 + 0.0127355322*x19 + 0.0028635772*x20) + 0.0001*sqr(17.2005159204 -
0.0910706703*i1 - 0.1353551992*i2 - 0.0045604449*i3 - 0.0058886233*i4 -
0.1544772411*i5 - 0.1777468247*i6 - 0.1643967385*i7 - 0.2447547979*i8 -
0.0695046741*i9 + 0.0074175259*i10 + 0.0095563648*i11 + 0.0096650697*i12
- 0.0036650179*i13 - 83.5475857469*x14 + 17.5444503235*x15 +
24.0403945324*x16 - 0.1697469511*x17 + 6.6072373388*x18 + 3.702054964*x19
- 115.1114277859*x20) + 0.16*sqr((-25.6825534808) + 0.9236280974*i1 -
0.0183246537*i2 + 0.0189502894*i3 + 0.0897048431*i4 + 0.9719412505*i5 +
0.5687799133*i6 + 0.3652683828*i7 + 0.2667249028*i8 - 0.1198458943*i9 +
0.0719303519*i10 + 0.054459644*i11 + 0.0381337454*i12 + 0.0084372917*i13
- 172.3571556156*x14 + 128.6111684769*x15 + 47.5980282546*x16 -
2.0864881272*x17 + 10.0774182155*x18 - 5.8968747535*x19 + 41.6695373549*
x20) + sqr(8.6404612843 + 1.0470538624*i1 + 0.1265399768*i2 - 0.0382708217
*i3 - 0.0229868843*i4 + 1.0127245011*i5 + 0.2264519238*i6 + 0.1198727849*
i7 + 0.0496850607*i8 + 0.0256657433*i9 - 0.001380951*i10 - 0.0202111208*
i11 - 0.0061255822*i12 + 0.0008857942*i13 + 279.6115378044*x14 +
12.6478515168*x15 + 58.2338999026*x16 - 0.7407788996*x17 + 1.6954162324*
x18 - 0.0281070188*x19 - 2.7233199693*x20) + sqr(17.9484831771 -
0.2957647998*i1 - 0.1282769511*i2 - 0.0424456722*i3 - 0.012308059*i4 -
0.3701941021*i5 - 0.17078673*i6 - 0.1029835609*i7 - 0.1196187747*i8 -
0.0163783684*i9 - 0.0018793693*i10 - 0.0354804279*i11 - 0.0194724169*i12
- 0.0013696531*i13 - 51.6252785538*x14 + 13.0257273562*x15 +
45.5497603331*x16 + 0.0271465582*x17 + 0.4765352422*x18 + 0.7456509784*x19
- 11.702389109*x20) + 0.64*sqr(27.6492094586 - 0.16206578*i1 -
0.4430814744*i2 - 0.0022016388*i3 - 9.27478e-5*i4 - 0.1743256573*i5 -
0.0180197723*i6 - 0.0065277971*i7 - 0.0079737986*i8 - 0.2433891135*i9 -
0.0006366382*i10 - 0.0029943458*i11 - 0.0018392849*i12 + 0.0004019119*i13
+ 191.7962056686*x14 - 5.1846674433*x15 + 1.2439454336*x16 - 0.0218678855
*x17 + 0.3849436864*x18 + 0.0262492576*x19 - 0.9654915869*x20) + 0.64*sqr(
0.7313866655 - 0.0369626284*i1 - 0.0279440208*i2 + 0.002152423*i3 +
0.0049481078*i4 - 0.0359031491*i5 - 0.0031300384*i6 - 0.0011206133*i7 +
0.0032861258*i8 - 0.0218768904*i9 + 0.0020226047*i10 + 0.0007690433*i11 +
0.0001033874*i12 - 0.0001029558*i13 + 13.8500336434*x14 - 22.6807804628*
x15 - 18.3863230016*x16 + 0.0302860152*x17 - 0.1454486567*x18 +
0.0762093249*x19 - 0.5480081939*x20) + 0.16*sqr((-52.5425602964) +
1.481390691*i1 + 0.0899334362*i2 + 0.0376647593*i3 + 0.1404303474*i4 +
1.7046542178*i5 + 1.1229862589*i6 + 0.7315242919*i7 + 0.6418588879*i8 -
0.1588453132*i9 + 0.113117524*i10 + 0.0863865555*i11 + 0.0566125966*i12 +
0.0156276651*i13 - 200.1847266898*x14 + 184.8153459101*x15 + 57.8684929964
*x16 - 2.7792085501*x17 + 9.0767134995*x18 - 13.942861566*x19 +
127.0169941145*x20) + sqr(11.2591544766 + 1.9929618598*i1 + 0.2363240124*
i2 - 0.0511937674*i3 - 0.0293329322*i4 + 2.0329311329*i5 + 0.5245706282*i6
+ 0.2629618577*i7 + 0.126212306*i8 - 0.0019258114*i9 + 0.0021679191*i10
- 0.0199382345*i11 - 0.0033997016*i12 - 0.0002802765*i13 + 557.8529479327
*x14 + 3.0143555386*x15 + 65.3736501251*x16 - 1.0800203847*x17 +
2.8399031977*x18 - 0.2294386604*x19 - 14.7469110313*x20) + sqr(
21.6114276014 - 0.3794268138*i1 - 0.1359049851*i2 - 0.0522607329*i3 -
0.0124067534*i4 - 0.4717160532*i5 - 0.2545973282*i6 - 0.1686685879*i7 -
0.2403802808*i8 + 0.0011373805*i9 - 0.0008573392*i10 - 0.0375338624*i11 -
0.0192629492*i12 - 0.0015633624*i13 - 94.5375544285*x14 + 18.2250544427*
x15 + 38.0675842791*x16 - 0.2238422448*x17 + 2.001336626*x18 +
1.0138181445*x19 - 23.1438722685*x20) + 0.64*sqr(46.7782203241 -
0.2223546814*i1 - 0.7395971394*i2 - 0.0040475573*i3 - 0.003779285*i4 -
0.2467887221*i5 - 0.0306073217*i6 - 0.0079486792*i7 - 0.0189593819*i8 -
0.4011393907*i9 - 0.0031966331*i10 - 0.0042381208*i11 - 0.0023012821*i12
+ 0.0002202888*i13 + 327.6551151698*x14 - 4.6492502074*x15 + 6.6637844433
*x16 - 0.0500060739*x17 + 0.6775119117*x18 + 0.1602738202*x19 -
6.4757521432*x20) + 0.64*sqr(0.9116644463 - 0.0422053363*i1 - 0.0218370644
*i2 + 0.0013117376*i3 + 0.0039100868*i4 - 0.0513592002*i5 - 0.013366308*i6
- 0.0041364668*i7 + 0.0005264153*i8 - 0.0174573785*i9 + 0.0007329203*i10
- 0.0001582492*i11 - 0.0002836937*i12 - 0.000494575*i13 + 4.7797259826*
x14 - 14.3122665377*x15 - 10.9646223177*x16 + 0.043573141*x17 -
0.3045615131*x18 + 0.279954818*x19 - 3.3767931789*x20) + sqr(13.8496391201
+ 0.0134893339*i1 - 0.0546241416*i2 - 0.0421969775*i3 - 0.0189935256*i4
+ 0.0086879414*i5 + 0.0095671335*i6 + 0.0062541874*i7 + 0.0042914317*i8
+ 0.0014679428*i9 - 0.003326583*i10 - 0.0404226913*i11 - 0.0261580188*i12
+ 0.0009760295*i13 + 3.5498897321*x14 + 16.1561586043*x15 + 76.1755770646
*x16 + 0.2165709541*x17 - 4.4161081307*x18 + 0.183857392*x19 +
0.3055886284*x20) + 0.64*sqr((-4.1276099743) - 0.0016112926*i1 +
0.0138916297*i2 + 0.0064871233*i3 + 0.0100484335*i4 - 0.0020517997*i5 -
0.001518082*i6 - 0.0026530534*i7 - 0.0001671183*i8 + 0.0033008582*i9 +
0.0060350783*i10 + 0.0062323261*i11 + 0.0044103683*i12 + 1.34992e-5*i13 -
1.055738354*x14 - 56.937097335*x15 - 50.3080442297*x16 - 0.0403968632*x17
+ 0.4781256075*x18 - 0.004820015*x19 - 0.0882113129*x20) + 0.0001*sqr(
10.7794007035 - 0.1027500435*i1 - 0.0437077268*i2 - 0.0042608613*i3 -
0.0054005871*i4 - 0.2217325771*i5 - 0.2036834341*i6 - 0.1536688756*i7 -
0.182917313*i8 - 0.0092610244*i9 - 0.0028718144*i10 + 0.008765582*i11 +
0.0154612115*i12 + 0.002949574*i13 - 41.3982537441*x14 - 0.4939416253*x15
+ 13.7491137587*x16 - 0.9135159317*x17 + 9.7126592931*x18 + 2.8528519857*
x19 - 42.524194597*x20) + 0.16*sqr((-4.2220465925) + 0.1958722411*i1 -
0.0118265109*i2 + 0.0023904676*i3 + 0.018778841*i4 + 0.1434642091*i5 +
0.0535288547*i6 + 0.0294513128*i7 + 0.0136110673*i8 - 0.0294248695*i9 +
0.0159294386*i10 + 0.0118730276*i11 + 0.0138666684*i12 + 0.0033611513*i13
- 44.6850648185*x14 + 30.1445830407*x15 + 12.9990890991*x16 -
0.9499115318*x17 + 11.4382579566*x18 - 0.4170309667*x19 + 0.3784044555*x20
) + sqr(15.175268689 + 0.1002145531*i1 - 0.0495334512*i2 - 0.046919432*i3
- 0.02267109*i4 + 0.0675430045*i5 + 0.0130802886*i6 + 0.0084060715*i7 +
0.0032060051*i8 + 0.0052885861*i9 - 0.0039272147*i10 - 0.0429347295*i11 -
0.024658985*i12 + 0.0020304879*i13 + 24.318483031*x14 + 19.9554555304*x15
+ 86.0701095092*x16 - 0.0079381579*x17 - 1.2317154197*x18 + 0.2597808541*
x19 + 0.046547833*x20) + sqr(13.6543378053 - 0.2567697759*i1 -
0.1110211715*i2 - 0.029891517*i3 - 0.0080014448*i4 - 0.236451453*i5 -
0.0441803185*i6 - 0.0189725038*i7 - 0.0152706799*i8 - 0.0242306374*i9 -
0.0021581627*i10 - 0.032158306*i11 - 0.02507444*i12 - 0.0031898028*i13 -
16.8998454606*x14 + 2.6515703721*x15 + 44.5383700882*x16 + 0.4270802076*
x17 - 4.2406883369*x18 + 0.1817822414*x19 - 1.2990884338*x20) + 0.64*sqr(
5.6877270607 - 0.0509316739*i1 - 0.0899873302*i2 - 0.0010672511*i3 +
0.0012269042*i4 - 0.0460810164*i5 - 0.0030215419*i6 - 0.0017089579*i7 -
0.0008960043*i8 - 0.0503824405*i9 + 0.0004481339*i10 - 0.0017704342*i11 -
0.0020844447*i12 - 0.0001547897*i13 + 38.4978917657*x14 - 5.7154043223*x15
- 1.3118401345*x16 + 0.0327195254*x17 - 0.3675197017*x18 + 0.0006192276*
x19 + 0.0084917392*x20) + 0.64*sqr((-3.3913450716) - 0.0098272689*i1 +
0.0061211388*i2 + 0.0060406869*i3 + 0.0099167954*i4 - 0.0055976062*i5 -
0.0007878593*i6 - 0.0024627591*i7 + 0.0001091634*i8 - 0.0019063383*i9 +
0.0057189921*i10 + 0.0056093079*i11 + 0.0034173555*i12 - 0.0001406113*i13
+ 3.0552737446*x14 - 54.2499870768*x15 - 47.9264759598*x16 - 0.0082705764
*x17 - 0.0605154328*x18 - 0.0067698022*x19 - 0.0545052962*x20) + 0.0001*
sqr(18.7892368515 - 0.1538926793*i1 - 0.0871062409*i2 - 0.0097767387*i3 -
0.0055333772*i4 - 0.3200579008*i5 - 0.3485288775*i6 - 0.2583428965*i7 -
0.351496112*i8 - 0.000511772*i9 - 0.0028518468*i10 + 0.0187496157*i11 +
0.0251862229*i12 + 0.0032716782*i13 - 109.3000284295*x14 + 2.1450969802*
x15 + 31.7825915933*x16 - 0.9893136845*x17 + 5.2409083648*x18 +
5.3829884111*x19 - 87.3346786956*x20) + 0.16*sqr((-15.0414837509) +
0.707257822*i1 - 0.0615161527*i2 + 0.0093164155*i3 + 0.068536869*i4 +
0.596657314*i5 + 0.2590793017*i6 + 0.1509095992*i7 + 0.068322962*i8 -
0.1186944602*i9 + 0.0555551994*i10 + 0.0479939209*i11 + 0.0482973425*i12
+ 0.0128017544*i13 - 168.9033426052*x14 + 108.3885243362*x15 +
48.348717818*x16 - 2.7970407623*x17 + 22.0796840577*x18 - 2.1451176404*x19
+ 3.7963629845*x20) + sqr(19.4397559466 + 0.4019882894*i1 - 0.0372389175*
i2 - 0.0603438751*i3 - 0.0336688256*i4 + 0.2996694143*i5 + 0.0272621038*i6
+ 0.0138810181*i7 - 0.0078788208*i8 + 0.0131939321*i9 - 0.00573995*i10 -
0.0476935894*i11 - 0.0194312061*i12 + 0.0048998423*i13 + 94.1107720449*x14
+ 28.998307874*x15 + 109.829171541*x16 - 0.4498027437*x17 + 1.8390377019*
x18 + 0.4832341831*x19 - 1.7919794167*x20) + sqr(23.132764885 -
0.4092337351*i1 - 0.1752815817*i2 - 0.0542592094*i3 - 0.0161774929*i4 -
0.4514197134*i5 - 0.1241856791*i6 - 0.0598724442*i7 - 0.0492098054*i8 -
0.0326420465*i9 - 0.0042091537*i10 - 0.0568444786*i11 - 0.0379374765*i12
- 0.00343355*i13 - 43.4189059559*x14 + 10.1252158257*x15 + 77.9788177737*
x16 + 0.3370546232*x17 - 1.4549710707*x18 + 0.489493217*x19 - 3.9857951868
*x20) + 0.64*sqr(13.8564717531 - 0.1141686445*i1 - 0.2191862214*i2 -
0.0025448286*i3 + 0.00239861*i4 - 0.1144706672*i5 - 0.0085848528*i6 -
0.0035218461*i7 - 0.001600416*i8 - 0.1228898407*i9 + 0.000914048*i10 -
0.0041742745*i11 - 0.0038012678*i12 - 3.23811e-5*i13 + 93.8857141632*x14
- 9.7411135156*x15 - 0.5732088498*x16 + 0.0199212507*x17 + 0.0208043091*
x18 + 0.0175764412*x19 - 0.0815881622*x20) + 0.64*sqr((-1.4654518443) -
0.03608066*i1 - 0.014056266*i2 + 0.0050338315*i3 + 0.0096325638*i4 -
0.0228356671*i5 + 0.0005897623*i6 - 0.0018447306*i7 + 0.0015702018*i8 -
0.0155263332*i9 + 0.0050006206*i10 + 0.003852327*i11 + 0.0011741859*i12 -
0.0004337085*i13 + 15.3248475624*x14 - 47.2905178532*x15 - 41.8063079022*
x16 + 0.0313039393*x17 - 0.296380168*x18 + 0.0036803543*x19 + 0.006213577*
x20) + 0.0001*sqr(18.425410362 - 0.1439232314*i1 - 0.1047333108*i2 -
0.0121434245*i3 - 0.003629836*i4 - 0.2453778956*i5 - 0.307832879*i6 -
0.2487130071*i7 - 0.3821881872*i8 - 0.0082958874*i9 + 0.0008311951*i10 +
0.0234687515*i11 + 0.0212263335*i12 - 0.0025169633*i13 - 162.9216743805*
x14 + 0.6069838295*x15 + 33.6263912566*x16 - 0.5818848984*x17 +
0.4916767822*x18 + 5.9384033682*x19 - 105.0147070331*x20) + 0.16*sqr((-
32.1842133879) + 1.3765716016*i1 - 0.1289229446*i2 + 0.0190698796*i3 +
0.13796709*i4 + 1.369802016*i5 + 0.7213337592*i6 + 0.437642633*i7 +
0.2356608263*i8 - 0.2359036464*i9 + 0.1114416754*i10 + 0.1010350555*i11 +
0.0841849503*i12 + 0.0209393283*i13 - 324.876865998*x14 + 211.7847928717*
x15 + 91.5487266435*x16 - 4.2419017625*x17 + 21.9041455225*x18 -
6.4503519664*x19 + 20.5350536277*x20) + sqr(27.0290256459 + 0.957697711*i1
- 0.0082391871*i2 - 0.0813430324*i3 - 0.0501068225*i4 + 0.8336253118*i5
+ 0.0892756746*i6 + 0.0368980247*i7 - 0.0501048986*i8 + 0.0252255515*i9
- 0.00815609*i10 - 0.0487858863*i11 - 0.0126270252*i12 + 0.0071029695*i13
+ 245.9820390329*x14 + 36.5783315848*x15 + 136.0277393488*x16 -
0.8807902958*x17 + 2.2707277859*x18 + 0.8479304948*x19 - 9.1285738954*x20)
+ sqr(29.0548186711 - 0.4379945283*i1 - 0.2088131632*i2 - 0.0732256897*i3
- 0.0239641788*i4 - 0.5900546031*i5 - 0.2428476725*i6 - 0.1244476172*i7
- 0.1236978209*i8 - 0.0285903567*i9 - 0.0061900868*i10 - 0.0703772887*i11
- 0.0385982014*i12 - 0.0014575845*i13 - 88.7963420677*x14 + 20.3324025392
*x15 + 94.9808940384*x16 + 0.0105696349*x17 + 0.5364673412*x18 +
0.9038719013*x19 - 9.6778384118*x20) + 0.64*sqr(26.3789577283 -
0.1816797092*i1 - 0.4195839375*i2 - 0.0047736081*i3 + 0.0023617675*i4 -
0.2053211397*i5 - 0.0214250689*i6 - 0.0061899533*i7 - 0.0041549446*i8 -
0.2353338886*i9 + 0.0006359016*i10 - 0.0071061708*i11 - 0.0045752371*i12
+ 0.0003519476*i13 + 172.1680687341*x14 - 10.8415575999*x15 +
3.6362070477*x16 - 0.0132159164*x17 + 0.3076388785*x18 + 0.0826159866*x19
- 0.8688992794*x20) + 0.64*sqr(0.9440674981 - 0.0650776693*i1 -
0.0422739602*i2 + 0.0037971709*i3 + 0.0094296564*i4 - 0.0577633117*i5 -
0.0020669462*i6 - 0.0028611583*i7 + 0.0041239641*i8 - 0.0346613481*i9 +
0.0043925649*i10 + 0.0012549378*i11 - 0.0006050918*i12 - 0.0004830789*i13
+ 27.1112542336*x14 - 36.9200749555*x15 - 33.0774743145*x16 +
0.0508171114*x17 - 0.1274755827*x18 + 0.0553021477*x19 + 0.0013939617*x20)
+ 0.16*sqr((-58.0191890609) + 2.1813628267*i1 - 0.1545507679*i2 +
0.039163584*i3 + 0.210595855*i4 + 2.4031839085*i5 + 1.4473181944*i6 +
0.9061155364*i7 + 0.5780098491*i8 - 0.3732071072*i9 + 0.1709683744*i10 +
0.1646340073*i11 + 0.1174019409*i12 + 0.0255527091*i13 - 471.431966531*x14
+ 289.6009154816*x15 + 122.1258853701*x16 - 5.3231652518*x17 +
24.0625644277*x18 - 14.3501693276*x19 + 38.5392409731*x20) + sqr(
38.0118455163 + 1.7520272485*i1 + 0.0636572431*i2 - 0.1076325163*i3 -
0.0695183984*i4 + 1.7170458637*i5 + 0.2636405478*i6 + 0.1013980865*i7 -
0.1445192027*i8 + 0.0484463478*i9 - 0.0109589866*i10 - 0.0429784057*i11 -
0.0078105656*i12 + 0.006252233*i13 + 515.2918119641*x14 + 41.5620366801*
x15 + 149.9399579296*x16 - 1.2697032171*x17 + 2.1796366891*x18 +
1.5710763787*x19 - 30.6184678297*x20) + sqr(33.5710771107 - 0.4728673308*
i1 - 0.2010544485*i2 - 0.0902522712*i3 - 0.0308265474*i4 - 0.6749953998*i5
- 0.3666892682*i6 - 0.189796208*i7 - 0.2619720144*i8 + 0.0147632556*i9 -
0.0082828855*i10 - 0.0734323184*i11 - 0.0359947855*i12 - 0.0005805197*i13
- 130.6618505398*x14 + 31.8815027643*x15 + 98.4635347459*x16 -
0.4392195739*x17 + 0.6030186151*x18 + 1.2678674023*x19 - 17.8419259821*x20
) + 0.64*sqr(44.2196893415 - 0.2469468564*i1 - 0.6976506683*i2 -
0.0082307807*i3 - 0.0014266429*i4 - 0.2964317522*i5 - 0.0478706966*i6 -
0.0129552016*i7 - 0.0226061611*i8 - 0.3889418107*i9 - 0.0024918904*i10 -
0.0097414786*i11 - 0.0050816254*i12 - 0.0002169046*i13 + 272.8953072747*
x14 - 8.2260585995*x15 + 13.3367849503*x16 - 0.0210102051*x17 -
0.200858329*x18 + 0.3447937286*x19 - 4.7324932298*x20) + 0.64*sqr(
2.3916082775 - 0.0830229296*i1 - 0.0607072137*i2 + 0.0025890994*i3 +
0.0100013643*i4 - 0.092511806*i5 - 0.0106796455*i6 - 0.0060733193*i7 +
0.0058175128*i8 - 0.0478475083*i9 + 0.0040087079*i10 - 0.0009799351*i11 -
0.0011759111*i12 - 0.0005345845*i13 + 25.709095923*x14 - 24.4731791748*x15
- 24.6131479194*x16 + 0.0454106213*x17 - 0.0646065275*x18 + 0.1581190219*
x19 + 0.2116796041*x20) + sqr(24.6740164037 + 0.0223977103*i1 -
0.1121987606*i2 - 0.0723574747*i3 - 0.0304799906*i4 + 0.0141026892*i5 +
0.0150496313*i6 + 0.009356091*i7 + 0.0061453714*i8 - 0.0029939245*i9 -
0.0052432754*i10 - 0.0715164075*i11 - 0.0491435187*i12 + 0.0022578622*i13
+ 7.4688258927*x14 + 25.6140478631*x15 + 128.5602665698*x16 +
0.4757541454*x17 - 10.0833898265*x18 + 0.2812647597*x19 + 1.3069721605*x20
) + 0.64*sqr((-6.5767760637) - 0.002043184*i1 + 0.025866576*i2 +
0.0107957855*i3 + 0.0142117191*i4 - 0.0030627984*i5 - 0.0016988735*i6 -
0.0035051809*i7 + 0.000204285*i8 + 0.0065467563*i9 + 0.0087981309*i10 +
0.0109097143*i11 + 0.0086807432*i12 + 5.64288e-5*i13 - 1.9200628335*x14 -
82.6218554875*x15 - 77.7620621346*x16 - 0.0899689319*x17 + 1.3246157882*
x18 - 0.0060396204*x19 - 0.2836216482*x20) + 0.0001*sqr(13.4408088149 -
0.1335354833*i1 - 0.0513877546*i2 - 0.0043335559*i3 - 0.006151427*i4 -
0.3784010428*i5 - 0.2996327994*i6 - 0.216483775*i7 - 0.1967597646*i8 +
0.0025108018*i9 - 0.0030313115*i10 + 0.0016603186*i11 + 0.0272463384*i12
+ 0.0122595633*i13 - 32.7638050291*x14 - 13.079882575*x15 + 16.4306490378
*x16 - 2.0852677276*x17 + 25.0395554658*x18 + 3.4583936295*x19 -
36.3419153111*x20) + 0.16*sqr((-6.3060317451) + 0.2726125833*i1 -
0.017621104*i2 + 0.0020860949*i3 + 0.0265588688*i4 + 0.1752405105*i5 +
0.0561057505*i6 + 0.029476967*i7 + 0.0075101638*i8 - 0.0414871915*i9 +
0.0219235679*i10 + 0.0175705997*i11 + 0.0267389822*i12 + 0.0081458252*i13
- 60.7627429307*x14 + 45.0531668914*x15 + 23.9517373918*x16 -
2.2103463222*x17 + 30.7877802516*x18 - 0.3917482702*x19 + 0.0764416754*x20
) + sqr(27.194557222 + 0.0917014531*i1 - 0.1151495709*i2 - 0.0801969223*i3
- 0.0366203739*i4 + 0.0462435601*i5 + 0.0097394551*i6 + 0.0063913226*i7
+ 0.0015667954*i8 + 0.0015410448*i9 - 0.0066552614*i10 - 0.0772208424*i11
- 0.0474166511*i12 + 0.0043032293*i13 + 25.6773735693*x14 + 31.8686922353
*x15 + 149.3606489483*x16 + 0.0887203646*x17 - 2.6020875573*x18 +
0.4248066623*x19 + 1.4206154804*x20) + sqr(20.9585644712 - 0.3743985215*i1
- 0.1620729809*i2 - 0.0471999158*i3 - 0.0103687457*i4 - 0.3281530126*i5
- 0.0496949468*i6 - 0.0185921118*i7 - 0.0143010524*i8 - 0.0363039622*i9
- 0.0030777596*i10 - 0.05404877*i11 - 0.0483645323*i12 - 0.0074639288*i13
- 22.9502388184*x14 + 1.3288409711*x15 + 71.1560662147*x16 + 0.8530716695
*x17 - 10.3125827307*x18 + 0.1499773618*x19 - 1.2612936268*x20) + 0.64*
sqr(5.5222886784 - 0.0567235021*i1 - 0.0856894075*i2 - 0.0019092286*i3 +
0.0021686274*i4 - 0.047989126*i5 - 0.0024578628*i6 - 0.0014553154*i7 -
0.0005997188*i8 - 0.0486072521*i9 + 0.0008577712*i10 - 0.0029453271*i11 -
0.004086349*i12 - 0.0006021977*i13 + 36.4857205385*x14 - 9.5382707914*x15
- 2.5662814081*x16 + 0.0701123319*x17 - 0.9739957489*x18 - 0.0039118764*
x19 + 0.014801047*x20) + 0.64*sqr((-5.5428877033) - 0.0112453555*i1 +
0.0155658196*i2 + 0.0100303673*i3 + 0.014032605*i4 - 0.0055943743*i5 -
0.0008915657*i6 - 0.0035956623*i7 + 0.0001225999*i8 - 0.0004941962*i9 +
0.0083145248*i10 + 0.009984122*i11 + 0.0068260588*i12 - 0.0003265892*i13
+ 3.3349538071*x14 - 78.7011629566*x15 - 74.4766668825*x16 - 0.012150969*
x17 - 0.2438248091*x18 - 0.0132360482*x19 - 0.2890630013*x20) + 0.0001*
sqr(22.91202141 - 0.1697990249*i1 - 0.1270118159*i2 - 0.0112563551*i3 -
0.0018247055*i4 - 0.5780024277*i5 - 0.5089288567*i6 - 0.3623853104*i7 -
0.3635107225*i8 + 0.0127387282*i9 + 0.002681067*i10 + 0.0050860991*i11 +
0.0469918947*i12 + 0.0209276578*i13 - 103.5695914313*x14 - 17.7443509241*
x15 + 32.7638919927*x16 - 2.3776473089*x17 + 17.4772130373*x18 +
6.3325007642*x19 - 70.1193265701*x20) + 0.16*sqr((-19.1037149037) +
0.9718848502*i1 - 0.1318564648*i2 + 0.0078259228*i3 + 0.0937484136*i4 +
0.6881965791*i5 + 0.248035874*i6 + 0.1278728121*i7 + 0.0382745977*i8 -
0.2009234089*i9 + 0.0782781847*i10 + 0.0692352133*i11 + 0.0934309017*i12
+ 0.031754053*i13 - 248.0302545011*x14 + 156.5108386651*x15 +
81.0934897165*x16 - 5.7060974008*x17 + 53.3125644434*x18 - 1.8399288936*
x19 - 0.4332042885*x20) + sqr(35.3714337539 + 0.3642209122*i1 -
0.1423479061*i2 - 0.1017866514*i3 - 0.0549860104*i4 + 0.1871482383*i5 -
0.0177104734*i6 - 0.0105679624*i7 - 0.0223660365*i8 + 0.0061559896*i9 -
0.0103810974*i10 - 0.0898924115*i11 - 0.0377808332*i12 + 0.011632108*i13
+ 79.3520417825*x14 + 49.2861444143*x15 + 199.688966238*x16 -
0.5706539784*x17 + 3.50694557*x18 + 0.8453712325*x19 + 0.4981575316*x20)
+ sqr(35.0017112093 - 0.6055332323*i1 - 0.2491329203*i2 - 0.0849802779*i3
- 0.0224647015*i4 - 0.6451950556*i5 - 0.1404866339*i6 - 0.0602240313*i7
- 0.0416040158*i8 - 0.0496262557*i9 - 0.0065177732*i10 - 0.0980857019*i11
- 0.074191225*i12 - 0.0084886228*i13 - 59.1471556858*x14 + 12.8393595714*
x15 + 132.3494388126*x16 + 0.597164433*x17 - 2.6471256653*x18 +
0.4806616333*x19 - 2.9211234364*x20) + 0.64*sqr(13.3242917752 -
0.1333606586*i1 - 0.2060297611*i2 - 0.0043336404*i3 + 0.0048206981*i4 -
0.1255605261*i5 - 0.0068561106*i6 - 0.0025640389*i7 - 0.0002025911*i8 -
0.1177170248*i9 + 0.0020789244*i10 - 0.0071077195*i11 - 0.0079888861*i12
- 0.0007563718*i13 + 90.1828519606*x14 - 16.7705535388*x15 - 2.5547451251
*x16 + 0.0444115721*x17 - 0.0681078714*x18 + 0.0153484518*x19 +
0.0025491801*x20) + 0.64*sqr((-2.8171206293) - 0.049482695*i1 -
0.0105572827*i2 + 0.0081720297*i3 + 0.0139602074*i4 - 0.022512747*i5 +
0.0024956475*i6 - 0.0027146251*i7 + 0.0012832223*i8 - 0.0180832171*i9 +
0.0073530068*i10 + 0.0072506127*i11 + 0.0019280634*i12 - 0.0013136646*i13
+ 22.354352107*x14 - 69.4261066563*x15 - 65.9673942362*x16 + 0.0630205182
*x17 - 0.6756411564*x18 - 0.0172196827*x19 - 0.1847089481*x20) + 0.0001*
sqr(21.7879588169 - 0.0947365547*i1 - 0.1798660943*i2 - 0.01717141*i3 +
0.0019039585*i4 - 0.4407563665*i5 - 0.4383439497*i6 - 0.3352661452*i7 -
0.3702712169*i8 + 0.0256058978*i9 + 0.0038440139*i10 + 0.0079542915*i11 +
0.0387199773*i12 + 0.0172231689*i13 - 189.427546876*x14 - 46.7180298532*
x15 + 30.1363300837*x16 - 1.6231543138*x17 + 7.3508136199*x18 +
6.5997072711*x19 - 82.0209643098*x20) + 0.16*sqr((-37.2484380527) +
1.8568434952*i1 - 0.3106290428*i2 + 0.0094972219*i3 + 0.1860850432*i4 +
1.6211935409*i5 + 0.7146245879*i6 + 0.4279294974*i7 + 0.1480826461*i8 -
0.3431607178*i9 + 0.1528034855*i10 + 0.1501944571*i11 + 0.163165132*i12 +
0.0525199133*i13 - 514.936957251*x14 + 290.3735314192*x15 + 141.6853205036
*x16 - 7.8736279955*x17 + 50.5912316647*x18 - 5.3692662428*x19 -
1.2634691605*x20) + sqr(49.7793154236 + 0.8974566082*i1 - 0.2016545606*i2
- 0.1372420643*i3 - 0.0849370149*i4 + 0.597216156*i5 - 0.0529743107*i6 -
0.0327123325*i7 - 0.0956973786*i8 + 0.0135051726*i9 - 0.0174040586*i10 -
0.0995786119*i11 - 0.0222788768*i12 + 0.0202069403*i13 + 183.5676339425*
x14 + 67.4179160872*x15 + 260.0168205722*x16 - 1.1081123903*x17 +
3.8671994285*x18 + 1.5222166*x19 - 5.0366128035*x20) + sqr(43.021067804 -
0.6083620583*i1 - 0.3029124972*i2 - 0.1135882353*i3 - 0.0355395701*i4 -
0.8790947665*i5 - 0.3016593148*i6 - 0.1408025397*i7 - 0.1002537841*i8 -
0.0514080181*i9 - 0.0094415925*i10 - 0.1266638291*i11 - 0.0719574481*i12
- 0.0018496895*i13 - 135.5420938387*x14 + 33.8072474452*x15 +
173.1509254254*x16 + 0.0154455776*x17 + 0.9579081923*x18 + 0.9045568743*
x19 - 6.1259070911*x20) + 0.64*sqr(25.0638931642 - 0.2136068538*i1 -
0.3940535057*i2 - 0.0079956209*i3 + 0.0078872724*i4 - 0.2472793465*i5 -
0.0214199028*i6 - 0.0053286994*i7 + 0.0001186708*i8 - 0.2265402821*i9 +
0.0039784291*i10 - 0.0130345369*i11 - 0.0097124796*i12 + 8.47382e-5*i13 +
161.5508352661*x14 - 17.8973790682*x15 + 3.0754846652*x16 - 0.0131686905*
x17 + 0.4333019034*x18 + 0.0861189709*x19 - 0.3218074323*x20) + 0.64*sqr(
0.6473699839 - 0.1009737998*i1 - 0.0447676904*i2 + 0.0063388465*i3 +
0.0147504297*i4 - 0.0728844726*i5 + 0.003141144*i6 - 0.0026665157*i7 +
0.0048304665*i8 - 0.04371889*i9 + 0.0072335014*i10 + 0.0029920234*i11 -
0.0023317602*i12 - 0.0016459968*i13 + 50.5469705602*x14 - 55.5675725111*
x15 - 54.2122022045*x16 + 0.0682390665*x17 - 0.0958560558*x18 + 0.01421791
*x19 + 0.2779557025*x20) + 0.16*sqr((-57.9853544596) + 2.7737928335*i1 -
0.5532575743*i2 + 0.0156658048*i3 + 0.2891603733*i4 + 2.9065199338*i5 +
1.5465361344*i6 + 0.8914561677*i7 + 0.2733903038*i8 - 0.4133526968*i9 +
0.2270135677*i10 + 0.2701158308*i11 + 0.2145218945*i12 + 0.0728906458*i13
- 812.3382165169*x14 + 374.2616854026*x15 + 159.2434025232*x16 -
8.3531458586*x17 + 37.4532747863*x18 - 11.6181359664*x19 - 10.4220063327*
x20) + sqr(72.2005752966 + 1.5759625636*i1 - 0.2566483609*i2 -
0.1785641791*i3 - 0.1287946874*i4 + 1.3533851444*i5 - 0.0184812506*i6 -
0.0125873895*i7 - 0.2717241723*i8 + 0.0370423817*i9 - 0.0352393621*i10 -
0.0928409915*i11 - 0.0108914457*i12 + 0.0220530873*i13 + 403.4279641629*
x14 + 57.2476586121*x15 + 304.648651667*x16 - 1.4921447174*x17 +
0.5675587323*x18 + 2.8263646656*x19 - 21.8009701189*x20) + sqr(
51.2834375764 - 0.5417732483*i1 - 0.3773631527*i2 - 0.1423336457*i3 -
0.0535593584*i4 - 0.9705512747*i5 - 0.5008961292*i6 - 0.2305517518*i7 -
0.2277147556*i8 - 0.0445987583*i9 - 0.016344045*i10 - 0.1398022291*i11 -
0.062421874*i12 + 0.0030033061*i13 - 257.1964984571*x14 + 47.5204718859*
x15 + 204.8907748828*x16 - 0.5298037875*x17 + 0.4997334966*x18 +
1.3165875998*x19 - 14.9476248756*x20) + 0.64*sqr(40.8609115933 -
0.2719857145*i1 - 0.6594952711*i2 - 0.0150264222*i3 + 0.0082096416*i4 -
0.3654629352*i5 - 0.0500388586*i6 - 0.0106461309*i7 - 0.0084873809*i8 -
0.3757245206*i9 + 0.0038448141*i10 - 0.0200843262*i11 - 0.0097674219*i12
+ 0.0010369999*i13 + 220.7856326007*x14 - 9.8944334188*x15 +
18.1994216348*x16 - 0.0314578944*x17 + 0.3637738371*x18 + 0.2888783431*x19
- 2.4044479313*x20) + 0.64*sqr(3.1835502966 - 0.1273885113*i1 -
0.0801064562*i2 + 0.003542304*i3 + 0.0182177895*i4 - 0.134241299*i5 -
0.0005278085*i6 - 0.0032882925*i7 + 0.0148782954*i8 - 0.0698664409*i9 +
0.0096435295*i10 - 0.0024311368*i11 - 0.00381761*i12 - 0.000946167*i13 +
63.2346641976*x14 - 38.2784911039*x15 - 40.1606271682*x16 + 0.0365675552*
x17 + 0.6620309299*x18 - 0.0055537207*x19 + 1.1735430798*x20)) + objvar
=E= 0;
e2.. - i1 - i5 - i6 - i7 - i8 =L= -31;
e3.. - i1 - i5 - i6 - i7 - i8 =G= -41;
e4.. - i2 - i9 =L= -44;
e5.. - i2 - i9 =G= -47;
e6.. - i4 - i10 =G= -210;
e7.. - i3 - i11 - i12 - i13 =G= -210;
e8.. - i1 - i5 =G= -16;
e9.. - i4 - i10 =L= -89;
e10.. - i4 - i10 =G= -136;
* set non-default bounds
i1.up = 16;
i2.lo = 43; i2.up = 46;
i3.up = 210;
i4.lo = 51; i4.up = 108;
i5.up = 10;
i6.up = 10;
i7.up = 10;
i8.up = 25;
i9.up = 10;
i10.up = 50;
i11.up = 80;
i12.up = 80;
i13.up = 40;
x14.lo = -0.0408; x14.up = -0.0288;
x15.up = 0.008;
x16.lo = -0.0311; x16.up = -0.0211;
x17.lo = 0.1; x17.up = 1;
x18.lo = 0.01; x18.up = 0.08;
x19.lo = 0.1; x19.up = 1;
x20.lo = 0.01; x20.up = 0.08;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f