MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance du-opt5
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 8.07297140 (ALPHAECP) 4.01973411 (ANTIGONE) 8.07365758 (BARON) 8.07365754 (BONMIN) -1027.90315800 (COUENNE) 8.07365758 (CPLEX) 8.07365758 (GUROBI) 8.07365758 (LINDO) 8.07365724 (SCIP) 8.07365758 (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ⓘ | 1.1757e-05 |
| Maximal coefficientⓘ | 8.1234e+02 |
| Infeasibility of initial pointⓘ | 34 |
| 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 1
*
* 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) + 0.549994725*i1 + 0.1169796775*i2 - 0.0002294295*i3
- 0.0011389815*i4 + 0.517334977*i5 + 0.1254856465*i6 + 0.0777056655*i7 +
0.0540072395*i8 + 0.0225685505*i9 + 0.000289518*i10 + 0.000232915*i11 -
0.000224502*i12 - 0.0011167735*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 - 0.206216401*i1 -
0.4886123175*i2 - 0.0001497655*i3 + 0.000109791*i4 - 0.2021672275*i5 -
0.018213187*i6 - 0.011539198*i7 - 0.008908086*i8 - 0.267492814*i9 -
0.0004922715*i10 - 0.000247959*i11 - 1.85495e-5*i12 + 0.0007170985*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) + 2.371858677*i1 + 0.510078782*i2 - 0.001015751*i3 -
0.005331239*i4 + 2.333275069*i5 + 0.6571341125*i6 + 0.42208406*i7 +
0.327328662*i8 + 0.08911655*i9 + 0.000245212*i10 + 0.001009617*i11 -
0.00029877*i12 - 0.0041785445*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 - 0.452221991*i1 -
1.211015313*i2 - 0.0002406625*i3 + 0.0003163255*i4 - 0.4563128165*i5 -
0.045698402*i6 - 0.028611547*i7 - 0.028609402*i8 - 0.656655331*i9 -
0.000693337*i10 - 0.000478371*i11 - 0.0001805125*i12 + 0.0014513565*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) + 5.9209037795*i1 + 1.268435754*i2 - 0.002521565*i3 -
0.0145396585*i4 + 6.025795972*i5 + 1.9497232215*i6 + 1.3228942365*i7 +
1.1544472565*i8 + 0.18917911*i9 - 0.0029636125*i10 + 0.0032177845*i11 +
0.0009287875*i12 - 0.0070525825*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 -
0.7525666535*i1 - 2.366924608*i2 - 3.3386e-5*i3 + 0.0008084995*i4 -
0.7626493665*i5 - 0.06943802*i6 - 0.044542657*i7 - 0.06034096*i8 -
1.2732236065*i9 - 0.000170688*i10 - 0.0005832025*i11 - 0.000747879*i12 +
0.002469289*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) + 11.8542510635*i1 + 2.597831153*i2 -
0.0042385525*i3 - 0.034173417*i4 + 12.2571100445*i5 + 4.330655533*i6 +
3.1186432225*i7 + 2.9573306875*i8 + 0.3922775225*i9 - 0.013605558*i10 +
0.0134967455*i11 + 0.0024050475*i12 - 0.0054617525*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 - 1.117428333*i1 - 4.187209611*i2 + 0.001572707*i3 +
0.0033773285*i4 - 1.106194274*i5 - 0.0589705015*i6 - 0.0297855395*i7 -
0.086679314*i8 - 2.245411196*i9 + 0.002395894*i10 + 0.0002810055*i11 -
0.002773322*i12 + 0.004869746*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 + 0.0082873805*i1 -
0.0235719995*i2 - 0.0245712215*i3 - 0.0118061575*i4 + 0.005122137*i5 +
0.006252163*i6 + 0.004316798*i7 + 0.00322166*i8 + 0.0034396695*i9 -
0.0019490185*i10 - 0.022343309*i11 - 0.01335063*i12 + 0.000307004*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) - 0.002480226*i1 + 0.0137679485*i2 + 0.007808047*i3 +
0.0151156365*i4 - 0.0026015445*i5 - 0.00262214*i6 - 0.004062096*i7 -
0.00060178*i8 + 0.0031992755*i9 + 0.0087511595*i10 + 0.0066920855*i11 +
0.003836358*i12 + 1.65225e-5*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 - 0.0703885135*i1 -
0.0461424745*i2 - 0.0003846915*i3 - 0.0042877325*i4 - 0.1238807365*i5 -
0.1150943445*i6 - 0.1430747485*i7 - 0.1514278875*i8 - 0.0623842385*i9 +
0.0008333635*i10 + 0.0059473155*i11 + 0.009726615*i12 - 0.0011614265*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) + 0.3034932505*i1 - 0.0139631495*i2 + 0.0065791635*i3 +
0.0288725125*i4 + 0.2690349655*i5 + 0.1216588055*i6 + 0.072461344*i7 +
0.047125806*i8 - 0.044335927*i9 + 0.023364311*i10 + 0.0151302605*i11 +
0.0112642585*i12 + 0.0017270445*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 + 0.54388668*i1 + 0.080752138*
i2 - 0.0277265595*i3 - 0.014881568*i4 + 0.4943185675*i5 + 0.1152590035*i6
+ 0.0707255635*i7 + 0.0460490435*i8 + 0.0244682285*i9 - 0.0018531055*i10
- 0.022937657*i11 - 0.0125940685*i12 - 0.000294376*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 -
0.37947808*i1 - 0.166543805*i2 - 0.0384681305*i3 - 0.0117765895*i4 -
0.36965179*i5 - 0.0895187825*i6 - 0.045220397*i7 - 0.0394548345*i8 -
0.036723661*i9 - 0.002403476*i10 - 0.0351213595*i11 - 0.022014992*i12 -
0.001854697*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 - 0.2119154695*i1 - 0.483487616*i2 - 0.0007529305
*i3 + 0.000693227*i4 - 0.206281672*i5 - 0.017718948*i6 - 0.010809221*i7 -
0.008005992*i8 - 0.2655291865*i9 - 0.000236861*i10 - 0.0012364265*i11 -
0.0009372535*i12 + 0.0006644745*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) - 0.0171024395*i1 +
0.001560084*i2 + 0.007353092*i3 + 0.0146390955*i4 - 0.0120126105*i5 -
0.0015444625*i6 - 0.003175667*i7 + 0.0007004655*i8 - 0.005387054*i9 +
0.0081679155*i10 + 0.005958448*i11 + 0.0031668995*i12 + 1.17565e-5*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 - 0.0443253455*i1 - 0.136489225*i2 + 0.000971236*i3 -
0.005475234*i4 - 0.116822972*i5 - 0.1512111165*i6 - 0.250110272*i7 -
0.2825277565*i8 - 0.131557343*i9 + 0.0096526265*i10 + 0.0109753495*i11 +
0.0199640185*i12 - 0.00210891*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) + 1.148089832*i1 -
0.0366802425*i2 + 0.0256133695*i3 + 0.108885787*i4 + 1.1278833435*i5 +
0.6000406795*i6 + 0.3834999715*i7 + 0.277338556*i8 - 0.1475778435*i9 +
0.0878565235*i10 + 0.055683924*i11 + 0.038774191*i12 + 0.007060331*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) + 2.3125469965*i1 + 0.428315477*i2 - 0.036978852*i3 -
0.023986857*i4 + 2.2260066025*i5 + 0.5764691755*i6 + 0.3564636115*i7 +
0.2517094845*i8 + 0.084908883*i9 - 0.0015215455*i10 - 0.0236894355*i11 -
0.010680763*i12 - 0.0023802535*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 - 0.6209350815*i1 -
0.2683010795*i2 - 0.070712406*i3 - 0.0206388915*i4 - 0.6850857445*i5 -
0.245836676*i6 - 0.1470414885*i7 - 0.147958399*i8 - 0.0515319195*i9 -
0.002897171*i10 - 0.060135139*i11 - 0.0351851705*i12 - 0.002911189*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 - 0.463981166*i1 - 1.195132855*i2 - 0.001675144*i3 +
0.0008538845*i4 - 0.4700413895*i5 - 0.0453715785*i6 - 0.026037898*i7 -
0.0247161835*i8 - 0.651459845*i9 - 0.000651965*i10 - 0.0026219995*i11 -
0.0017572685*i12 + 0.0014196155*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) - 0.0514771145*i1 -
0.03061292*i2 + 0.006260734*i3 + 0.013002539*i4 - 0.0421708295*i5 -
0.0008044325*i6 - 0.000825036*i7 + 0.005531478*i8 - 0.0270582815*i9 +
0.0064221695*i10 + 0.004151331*i11 + 0.001871516*i12 + 4.13035e-5*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 - 0.0897609185*i1 - 0.1624998775*i2 + 0.0009385285*i3 -
0.0074307775*i4 - 0.103676397*i5 - 0.1419148255*i6 - 0.3225769945*i7 -
0.301807927*i8 - 0.227580911*i9 + 0.0055520845*i10 + 0.007123082*i11 +
0.02199827*i12 - 0.0127438825*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) + 2.351853064*i1 +
0.0475076955*i2 + 0.0538944355*i3 + 0.2212872085*i4 + 2.540943914*i5 +
1.5675347875*i6 + 1.0799539255*i7 + 0.903473387*i8 - 0.2321048945*i9 +
0.1721659125*i10 + 0.1107992685*i11 + 0.0697935925*i12 + 0.0156465845*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) + 5.7049230075*i1 + 1.087048874*i2 - 0.051060961*i3
- 0.0384222715*i4 + 5.7455217605*i5 + 1.704867866*i6 + 1.079913519*i7 +
0.860020646*i8 + 0.1585546095*i9 - 0.0005926645*i10 - 0.0230619655*i11 -
0.007758865*i12 - 0.0056915385*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 - 0.767882249*i1 -
0.3182543715*i2 - 0.095124589*i3 - 0.023431931*i4 - 0.9177503655*i5 -
0.455981348*i6 - 0.322216701*i7 - 0.38188395*i8 - 0.0547428535*i9 +
0.000720073*i10 - 0.0731604515*i11 - 0.0401740865*i12 - 0.0044120005*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 - 0.764181681*i1 - 2.319797961*i2 - 0.002949867*i3 -
0.0006818695*i4 - 0.7871441575*i5 - 0.07397488*i6 - 0.03949846*i7 -
0.053711795*i8 - 1.25511994*i9 - 0.00176058*i10 - 0.0039980095*i11 -
0.002605087*i12 + 0.002351659*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 - 0.080852799*i1 -
0.0620560285*i2 + 0.0047490915*i3 + 0.0097168905*i4 - 0.082578817*i5 -
0.009901403*i6 - 0.0008208965*i7 + 0.008941979*i8 - 0.048754131*i9 +
0.003330363*i10 + 0.001953307*i11 + 0.0008350075*i12 - 4.9406e-5*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) + 3.7507480125*i1 + 0.458155665*i2 + 0.094766433*i3 +
0.356047375*i4 + 4.3456212335*i5 + 2.9555898075*i6 + 2.203184575*i7 +
2.032413179*i8 - 0.113621504*i9 + 0.264890639*i10 + 0.178028241*i11 +
0.096127387*i12 + 0.0428862195*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) + 11.216501803*i1 +
1.982662974*i2 - 0.0667485895*i3 - 0.058741875*i4 + 11.560799005*i5 +
3.7684806815*i6 + 2.4393807055*i7 + 2.1956613885*i8 + 0.0863979835*i9 +
0.001934737*i10 - 0.024087294*i11 - 0.001632711*i12 - 0.009738491*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 - 1.1385085245*i1 - 0.45570734*i2 - 0.113694448*i3 -
0.0153716275*i4 - 1.3081837135*i5 - 0.709967918*i6 - 0.5774704725*i7 -
0.753594348*i8 - 0.1272211635*i9 + 0.00898244*i10 - 0.0823101755*i11 -
0.039941941*i12 - 0.0071174395*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 - 1.0815377325*i1 -
3.969046141*i2 - 0.0054930985*i3 - 0.0075940525*i4 - 1.0980598035*i5 -
0.067120257*i6 - 0.0383726215*i7 - 0.073066323*i8 - 2.133550279*i9 -
0.0050301395*i10 - 0.006851101*i11 - 0.002614798*i12 + 0.004457869*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) - 0.0651563965*i1 + 0.028148446*i2 + 0.0018648095*i3 +
0.002823421*i4 - 0.093876486*i5 - 0.0350156415*i6 - 0.0111624665*i7 +
0.0053830125*i8 + 0.006522766*i9 - 0.002605269*i10 - 0.000843613*i11 +
0.001193875*i12 - 0.0013447615*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 + 0.0317858555*i1 -
0.1051443205*i2 - 0.096462143*i3 - 0.045430424*i4 + 0.020281092*i5 +
0.023390574*i6 + 0.01580318*i7 + 0.0114450895*i8 + 0.0092964165*i9 -
0.0078173725*i10 - 0.089631552*i11 - 0.055244646*i12 + 0.0016175245*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) - 0.0052672415*i1 + 0.033989164*i2 + 0.017866745*i3 +
0.0315887705*i4 - 0.005897631*i5 - 0.005261878*i6 - 0.0085025995*i7 -
0.001053714*i8 + 0.0078685245*i9 + 0.018570477*i10 + 0.01615421*i11 +
0.010168417*i12 + 1.1835e-5*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 - 0.285751077*i1 -
0.2286544155*i2 - 0.0092742805*i3 - 0.017270749*i4 - 0.557719025*i5 -
0.527678006*i6 - 0.4490909105*i7 - 0.566809924*i8 - 0.1113151645*i9 +
0.002509125*i10 + 0.0240409445*i11 + 0.0332995885*i12 + 0.0005023325*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) + 0.6259296035*i1 - 0.0385192615*i2 + 0.011335146*i3 +
0.0595625755*i4 + 0.516320457*i5 + 0.2172945335*i6 + 0.122692083*i7 +
0.0707461115*i8 - 0.106421262*i9 + 0.048755906*i10 + 0.035718339*i11 +
0.03174446*i12 + 0.0060134665*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 + 0.5268906675*i1 - 0.03534374*
i2 - 0.1077144425*i3 - 0.054504566*i4 + 0.4304530885*i5 + 0.09039341*i6 +
0.0552354765*i7 + 0.0293873515*i8 + 0.0280528975*i9 - 0.0087731315*i10 -
0.093695734*i11 - 0.051643065*i12 + 0.003015857*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 - 0.7948671925*i1
- 0.3460818955*i2 - 0.085806687*i3 - 0.0252604745*i4 - 0.7590537325*i5 -
0.165969884*i6 - 0.0782992405*i7 - 0.0661126925*i8 - 0.0750931945*i9 -
0.0059355275*i10 - 0.0847310985*i11 - 0.058233985*i12 - 0.005945752*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 - 0.228867861*i1 - 0.4698664175*i2 - 0.0023900005*i3 +
0.0024364325*i4 - 0.2172897715*i5 - 0.016597804*i6 - 0.009588962*i7 -
0.0061765265*i8 - 0.2603811455*i9 + 0.0004858685*i10 - 0.004159509*i11 -
0.004121931*i12 + 0.000298938*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) - 0.0342921425*i1 +
0.009550856*i2 + 0.016631177*i3 + 0.0310660835*i4 - 0.022001782*i5 -
0.0029250805*i6 - 0.0070445305*i7 + 0.000877894*i8 - 0.008584573*i9 +
0.0176015355*i10 + 0.014367991*i11 + 0.008043187*i12 - 0.0001638225*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 - 0.511470251*i1 - 0.5527304855*i2 - 0.0188901635*i3 -
0.0279234315*i4 - 0.947739149*i5 - 0.9753153575*i6 - 0.808363063*i7 -
1.13970515*i8 - 0.3559241005*i9 + 0.0142163485*i10 + 0.0431253845*i11 +
0.057276262*i12 - 0.009860131*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) + 2.2844043355*i1 -
0.1399431125*i2 + 0.0431528725*i3 + 0.222604724*i4 + 2.120035789*i5 +
1.04828801*i6 + 0.6401662245*i7 + 0.394639748*i8 - 0.366214066*i9 +
0.1803571335*i10 + 0.132783251*i11 + 0.1070122555*i12 + 0.0210206555*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 + 2.1747528685*i1 + 0.193681228*i2 - 0.1407010965*i3
- 0.0797814575*i4 + 1.936174476*i5 + 0.3787264945*i6 + 0.21389148*i7 +
0.0936619445*i8 + 0.0774652165*i9 - 0.010013703*i10 - 0.1003903705*i11 -
0.0417979795*i12 + 0.0055375225*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 - 1.2796098975*i1
- 0.552603451*i2 - 0.1567987545*i3 - 0.047723284*i4 - 1.4190338435*i5 -
0.461374741*i6 - 0.249754819*i7 - 0.234290462*i8 - 0.1020371535*i9 -
0.010105613*i10 - 0.146392447*i11 - 0.089789288*i12 - 0.007253222*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 - 0.5026710155*i1 - 1.152873236*i2 - 0.005829231*i3 +
0.0039832535*i4 - 0.5113304585*i5 - 0.04499581*i6 - 0.021122372*i7 -
0.0161181505*i8 - 0.6361102445*i9 + 0.000572985*i10 - 0.00931126*i11 -
0.007258385*i12 + 0.0010945025*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) - 0.111009209*i1 -
0.0584675225*i2 + 0.014113332*i3 + 0.028651155*i4 - 0.083920878*i5 -
0.000710975*i6 - 0.0042695005*i7 + 0.0081981555*i8 - 0.05512171*i9 +
0.0145064195*i10 + 0.0097212705*i11 + 0.0037279435*i12 - 0.0004113785*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 - 0.4553533515*i1 - 0.676775996*i2 - 0.0228022245*i3 -
0.0294431165*i4 - 0.7723862055*i5 - 0.8887341235*i6 - 0.8219836925*i7 -
1.2237739895*i8 - 0.3475233705*i9 + 0.0370876295*i10 + 0.047781824*i11 +
0.0483253485*i12 - 0.0183250895*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) +
4.618140487*i1 - 0.0916232685*i2 + 0.094751447*i3 + 0.4485242155*i4 +
4.8597062525*i5 + 2.8438995665*i6 + 1.826341914*i7 + 1.333624514*i8 -
0.5992294715*i9 + 0.3596517595*i10 + 0.27229822*i11 + 0.190668727*i12 +
0.0421864585*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 + 5.235269312*i1 + 0.632699884*i2 -
0.1913541085*i3 - 0.1149344215*i4 + 5.0636225055*i5 + 1.132259619*i6 +
0.5993639245*i7 + 0.2484253035*i8 + 0.1283287165*i9 - 0.006904755*i10 -
0.101055604*i11 - 0.030627911*i12 + 0.004428971*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 -
1.478823999*i1 - 0.6413847555*i2 - 0.212228361*i3 - 0.061540295*i4 -
1.8509705105*i5 - 0.85393365*i6 - 0.5149178045*i7 - 0.5980938735*i8 -
0.081891842*i9 - 0.0093968465*i10 - 0.1774021395*i11 - 0.0973620845*i12 -
0.0068482655*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 - 0.8103289*i1 - 2.215407372*i2
- 0.011008194*i3 - 0.000463739*i4 - 0.8716282865*i5 - 0.0900988615*i6 -
0.0326389855*i7 - 0.039868993*i8 - 1.2169455675*i9 - 0.003183191*i10 -
0.014971729*i11 - 0.0091964245*i12 + 0.0020095595*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 -
0.184813142*i1 - 0.139720104*i2 + 0.010762115*i3 + 0.024740539*i4 -
0.1795157455*i5 - 0.015650192*i6 - 0.0056030665*i7 + 0.016430629*i8 -
0.109384452*i9 + 0.0101130235*i10 + 0.0038452165*i11 + 0.000516937*i12 -
0.000514779*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) + 7.406953455*i1 +
0.449667181*i2 + 0.1883237965*i3 + 0.702151737*i4 + 8.523271089*i5 +
5.6149312945*i6 + 3.6576214595*i7 + 3.2092944395*i8 - 0.794226566*i9 +
0.56558762*i10 + 0.4319327775*i11 + 0.283062983*i12 + 0.0781383255*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 + 9.964809299*i1 + 1.181620062*i2 - 0.255968837*i3 -
0.146664661*i4 + 10.1646556645*i5 + 2.622853141*i6 + 1.3148092885*i7 +
0.63106153*i8 - 0.009629057*i9 + 0.0108395955*i10 - 0.0996911725*i11 -
0.016998508*i12 - 0.0014013825*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 - 1.897134069*i1 -
0.6795249255*i2 - 0.2613036645*i3 - 0.062033767*i4 - 2.358580266*i5 -
1.272986641*i6 - 0.8433429395*i7 - 1.201901404*i8 + 0.0056869025*i9 -
0.004286696*i10 - 0.187669312*i11 - 0.096314746*i12 - 0.007816812*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 - 1.111773407*i1 - 3.697985697*i2 - 0.0202377865*i3 -
0.018896425*i4 - 1.2339436105*i5 - 0.1530366085*i6 - 0.039743396*i7 -
0.0947969095*i8 - 2.0056969535*i9 - 0.0159831655*i10 - 0.021190604*i11 -
0.0115064105*i12 + 0.001101444*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 - 0.2110266815*i1 -
0.109185322*i2 + 0.006558688*i3 + 0.019550434*i4 - 0.256796001*i5 -
0.06683154*i6 - 0.020682334*i7 + 0.0026320765*i8 - 0.0872868925*i9 +
0.0036646015*i10 - 0.000791246*i11 - 0.0014184685*i12 - 0.002472875*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 + 0.0674466695*i1 - 0.273120708*i2 - 0.2109848875*i3 -
0.094967628*i4 + 0.043439707*i5 + 0.0478356675*i6 + 0.031270937*i7 +
0.0214571585*i8 + 0.007339714*i9 - 0.016632915*i10 - 0.2021134565*i11 -
0.130790094*i12 + 0.0048801475*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) - 0.008056463*i1 +
0.0694581485*i2 + 0.0324356165*i3 + 0.0502421675*i4 - 0.0102589985*i5 -
0.00759041*i6 - 0.013265267*i7 - 0.0008355915*i8 + 0.016504291*i9 +
0.0301753915*i10 + 0.0311616305*i11 + 0.0220518415*i12 + 6.7496e-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 - 0.5137502175*i1 - 0.218538634*i2 - 0.0213043065*i3 -
0.0270029355*i4 - 1.1086628855*i5 - 1.0184171705*i6 - 0.768344378*i7 -
0.914586565*i8 - 0.046305122*i9 - 0.014359072*i10 + 0.04382791*i11 +
0.0773060575*i12 + 0.01474787*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) + 0.9793612055*i1 -
0.0591325545*i2 + 0.011952338*i3 + 0.093894205*i4 + 0.7173210455*i5 +
0.2676442735*i6 + 0.147256564*i7 + 0.0680553365*i8 - 0.1471243475*i9 +
0.079647193*i10 + 0.059365138*i11 + 0.069333342*i12 + 0.0168057565*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 + 0.5010727655*i1 - 0.247667256*i2 - 0.23459716*i3 -
0.11335545*i4 + 0.3377150225*i5 + 0.065401443*i6 + 0.0420303575*i7 +
0.0160300255*i8 + 0.0264429305*i9 - 0.0196360735*i10 - 0.2146736475*i11 -
0.123294925*i12 + 0.0101524395*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 - 1.2838488795*i1 -
0.5551058575*i2 - 0.149457585*i3 - 0.040007224*i4 - 1.182257265*i5 -
0.2209015925*i6 - 0.094862519*i7 - 0.0763533995*i8 - 0.121153187*i9 -
0.0107908135*i10 - 0.16079153*i11 - 0.1253722*i12 - 0.015949014*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 - 0.2546583695*i1 - 0.449936651*i2 - 0.0053362555*i3 +
0.006134521*i4 - 0.230405082*i5 - 0.0151077095*i6 - 0.0085447895*i7 -
0.0044800215*i8 - 0.2519122025*i9 + 0.0022406695*i10 - 0.008852171*i11 -
0.0104222235*i12 - 0.0007739485*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) - 0.0491363445*i1 +
0.030605694*i2 + 0.0302034345*i3 + 0.049583977*i4 - 0.027988031*i5 -
0.0039392965*i6 - 0.0123137955*i7 + 0.000545817*i8 - 0.0095316915*i9 +
0.0285949605*i10 + 0.0280465395*i11 + 0.0170867775*i12 - 0.0007030565*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 - 0.7694633965*i1 - 0.4355312045*i2 - 0.0488836935*i3 -
0.027666886*i4 - 1.600289504*i5 - 1.7426443875*i6 - 1.2917144825*i7 -
1.75748056*i8 - 0.00255886*i9 - 0.014259234*i10 + 0.0937480785*i11 +
0.1259311145*i12 + 0.016358391*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) + 3.53628911*i1 -
0.3075807635*i2 + 0.0465820775*i3 + 0.342684345*i4 + 2.98328657*i5 +
1.2953965085*i6 + 0.754547996*i7 + 0.34161481*i8 - 0.593472301*i9 +
0.277775997*i10 + 0.2399696045*i11 + 0.2414867125*i12 + 0.064008772*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 + 2.009941447*i1 - 0.1861945875*i2 - 0.3017193755*i3 -
0.168344128*i4 + 1.4983470715*i5 + 0.136310519*i6 + 0.0694050905*i7 -
0.039394104*i8 + 0.0659696605*i9 - 0.02869975*i10 - 0.238467947*i11 -
0.0971560305*i12 + 0.0244992115*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 - 2.0461686755*i1 -
0.8764079085*i2 - 0.271296047*i3 - 0.0808874645*i4 - 2.257098567*i5 -
0.6209283955*i6 - 0.299362221*i7 - 0.246049027*i8 - 0.1632102325*i9 -
0.0210457685*i10 - 0.284222393*i11 - 0.1896873825*i12 - 0.01716775*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 - 0.5708432225*i1 - 1.095931107*i2 - 0.012724143*i3 +
0.01199305*i4 - 0.572353336*i5 - 0.042924264*i6 - 0.0176092305*i7 -
0.00800208*i8 - 0.6144492035*i9 + 0.00457024*i10 - 0.0208713725*i11 -
0.019006339*i12 - 0.0001619055*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) - 0.1804033*i1 -
0.07028133*i2 + 0.0251691575*i3 + 0.048162819*i4 - 0.1141783355*i5 +
0.0029488115*i6 - 0.009223653*i7 + 0.007851009*i8 - 0.077631666*i9 +
0.025003103*i10 + 0.019261635*i11 + 0.0058709295*i12 - 0.0021685425*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 - 0.719616157*i1 - 0.523666554*i2 - 0.0607171225*i3 -
0.01814918*i4 - 1.226889478*i5 - 1.539164395*i6 - 1.2435650355*i7 -
1.910940936*i8 - 0.041479437*i9 + 0.0041559755*i10 + 0.1173437575*i11 +
0.1061316675*i12 - 0.0125848165*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) +
6.882858008*i1 - 0.644614723*i2 + 0.095349398*i3 + 0.68983545*i4 +
6.84901008*i5 + 3.606668796*i6 + 2.188213165*i7 + 1.1783041315*i8 -
1.179518232*i9 + 0.557208377*i10 + 0.5051752775*i11 + 0.4209247515*i12 +
0.1046966415*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 + 4.788488555*i1 - 0.0411959355*i2
- 0.406715162*i3 - 0.2505341125*i4 + 4.168126559*i5 + 0.446378373*i6 +
0.1844901235*i7 - 0.250524493*i8 + 0.1261277575*i9 - 0.04078045*i10 -
0.2439294315*i11 - 0.063135126*i12 + 0.0355148475*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 - 2.1899726415*i1 - 1.044065816*i2 - 0.3661284485*i3 -
0.119820894*i4 - 2.9502730155*i5 - 1.2142383625*i6 - 0.622238086*i7 -
0.6184891045*i8 - 0.1429517835*i9 - 0.030950434*i10 - 0.3518864435*i11 -
0.192991007*i12 - 0.0072879225*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 - 0.908398546*i1 -
2.0979196875*i2 - 0.0238680405*i3 + 0.0118088375*i4 - 1.0266056985*i5 -
0.1071253445*i6 - 0.0309497665*i7 - 0.020774723*i8 - 1.176669443*i9 +
0.003179508*i10 - 0.035530854*i11 - 0.0228761855*i12 + 0.001759738*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 - 0.3253883465*i1 - 0.211369801*i2 + 0.0189858545*i3 +
0.047148282*i4 - 0.2888165585*i5 - 0.010334731*i6 - 0.0143057915*i7 +
0.0206198205*i8 - 0.1733067405*i9 + 0.0219628245*i10 + 0.006274689*i11 -
0.003025459*i12 - 0.0024153945*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) + 10.9068141335*i1 -
0.7727538395*i2 + 0.19581792*i3 + 1.052979275*i4 + 12.0159195425*i5 +
7.236590972*i6 + 4.530577682*i7 + 2.8900492455*i8 - 1.866035536*i9 +
0.854841872*i10 + 0.8231700365*i11 + 0.5870097045*i12 + 0.1277635455*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 + 8.7601362425*i1 + 0.3182862155*i2 -
0.5381625815*i3 - 0.347591992*i4 + 8.5852293185*i5 + 1.318202739*i6 +
0.5069904325*i7 - 0.7225960135*i8 + 0.242231739*i9 - 0.054794933*i10 -
0.2148920285*i11 - 0.039052828*i12 + 0.031261165*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 - 2.364336654*i1 - 1.0052722425*i2 - 0.451261356*i3 -
0.154132737*i4 - 3.374976999*i5 - 1.833446341*i6 - 0.94898104*i7 -
1.309860072*i8 + 0.073816278*i9 - 0.0414144275*i10 - 0.367161592*i11 -
0.1799739275*i12 - 0.0029025985*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 -
1.234734282*i1 - 3.4882533415*i2 - 0.0411539035*i3 - 0.0071332145*i4 -
1.482158761*i5 - 0.239353483*i6 - 0.064776008*i7 - 0.1130308055*i8 -
1.9447090535*i9 - 0.012459452*i10 - 0.048707393*i11 - 0.025408127*i12 -
0.001084523*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 - 0.415114648*i1 - 0.3035360685*i2 +
0.012945497*i3 + 0.0500068215*i4 - 0.46255903*i5 - 0.0533982275*i6 -
0.0303665965*i7 + 0.029087564*i8 - 0.2392375415*i9 + 0.0200435395*i10 -
0.0048996755*i11 - 0.0058795555*i12 - 0.0026729225*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 +
0.1119885515*i1 - 0.560993803*i2 - 0.3617873735*i3 - 0.152399953*i4 +
0.070513446*i5 + 0.0752481565*i6 + 0.046780455*i7 + 0.030726857*i8 -
0.0149696225*i9 - 0.026216377*i10 - 0.3575820375*i11 - 0.2457175935*i12 +
0.011289311*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) - 0.01021592*i1 + 0.12933288*
i2 + 0.0539789275*i3 + 0.0710585955*i4 - 0.015313992*i5 - 0.0084943675*i6
- 0.0175259045*i7 + 0.001021425*i8 + 0.0327337815*i9 + 0.0439906545*i10
+ 0.0545485715*i11 + 0.043403716*i12 + 0.000282144*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 -
0.6676774165*i1 - 0.256938773*i2 - 0.0216677795*i3 - 0.030757135*i4 -
1.892005214*i5 - 1.498163997*i6 - 1.082418875*i7 - 0.983798823*i8 +
0.012554009*i9 - 0.0151565575*i10 + 0.008301593*i11 + 0.136231692*i12 +
0.0612978165*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) + 1.3630629165*i1 -
0.08810552*i2 + 0.0104304745*i3 + 0.132794344*i4 + 0.8762025525*i5 +
0.2805287525*i6 + 0.147384835*i7 + 0.037550819*i8 - 0.2074359575*i9 +
0.1096178395*i10 + 0.0878529985*i11 + 0.133694911*i12 + 0.040729126*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 + 0.4585072655*i1 - 0.5757478545*i2 - 0.4009846115*i3 -
0.1831018695*i4 + 0.2312178005*i5 + 0.0486972755*i6 + 0.031956613*i7 +
0.007833977*i8 + 0.007705224*i9 - 0.033276307*i10 - 0.386104212*i11 -
0.2370832555*i12 + 0.0215161465*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 - 1.8719926075*i1
- 0.8103649045*i2 - 0.235999579*i3 - 0.0518437285*i4 - 1.640765063*i5 -
0.248474734*i6 - 0.092960559*i7 - 0.071505262*i8 - 0.181519811*i9 -
0.015388798*i10 - 0.27024385*i11 - 0.2418226615*i12 - 0.037319644*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 - 0.2836175105*i1 - 0.4284470375*i2 - 0.009546143*i3 +
0.010843137*i4 - 0.23994563*i5 - 0.012289314*i6 - 0.007276577*i7 -
0.002998594*i8 - 0.2430362605*i9 + 0.004288856*i10 - 0.0147266355*i11 -
0.020431745*i12 - 0.0030109885*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) - 0.0562267775*i1 +
0.077829098*i2 + 0.0501518365*i3 + 0.070163025*i4 - 0.0279718715*i5 -
0.0044578285*i6 - 0.0179783115*i7 + 0.0006129995*i8 - 0.002470981*i9 +
0.041572624*i10 + 0.04992061*i11 + 0.034130294*i12 - 0.001632946*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 - 0.8489951245*i1 - 0.6350590795*i2 - 0.0562817755*i3 -
0.0091235275*i4 - 2.8900121385*i5 - 2.5446442835*i6 - 1.811926552*i7 -
1.8175536125*i8 + 0.063693641*i9 + 0.013405335*i10 + 0.0254304955*i11 +
0.2349594735*i12 + 0.104638289*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) +
4.859424251*i1 - 0.659282324*i2 + 0.039129614*i3 + 0.468742068*i4 +
3.4409828955*i5 + 1.24017937*i6 + 0.6393640605*i7 + 0.1913729885*i8 -
1.0046170445*i9 + 0.3913909235*i10 + 0.3461760665*i11 + 0.4671545085*i12
+ 0.158770265*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 + 1.821104561*i1 -
0.7117395305*i2 - 0.508933257*i3 - 0.274930052*i4 + 0.9357411915*i5 -
0.088552367*i6 - 0.052839812*i7 - 0.1118301825*i8 + 0.030779948*i9 -
0.051905487*i10 - 0.4494620575*i11 - 0.188904166*i12 + 0.05816054*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 - 3.0276661615*i1 - 1.2456646015*i2 - 0.4249013895*i3 -
0.1123235075*i4 - 3.225975278*i5 - 0.7024331695*i6 - 0.3011201565*i7 -
0.208020079*i8 - 0.2481312785*i9 - 0.032588866*i10 - 0.4904285095*i11 -
0.370956125*i12 - 0.042443114*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 - 0.666803293*i1 -
1.0301488055*i2 - 0.021668202*i3 + 0.0241034905*i4 - 0.6278026305*i5 -
0.034280553*i6 - 0.0128201945*i7 - 0.0010129555*i8 - 0.588585124*i9 +
0.010394622*i10 - 0.0355385975*i11 - 0.0399444305*i12 - 0.003781859*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) - 0.247413475*i1 - 0.0527864135*i2 + 0.0408601485*i3 +
0.069801037*i4 - 0.112563735*i5 + 0.0124782375*i6 - 0.0135731255*i7 +
0.0064161115*i8 - 0.0904160855*i9 + 0.036765034*i10 + 0.0362530635*i11 +
0.009640317*i12 - 0.006568323*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 - 0.4736827735*i1 -
0.8993304715*i2 - 0.08585705*i3 + 0.0095197925*i4 - 2.2037818325*i5 -
2.1917197485*i6 - 1.676330726*i7 - 1.8513560845*i8 + 0.128029489*i9 +
0.0192200695*i10 + 0.0397714575*i11 + 0.1935998865*i12 + 0.0861158445*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) + 9.284217476*i1 - 1.553145214*i2 +
0.0474861095*i3 + 0.930425216*i4 + 8.1059677045*i5 + 3.5731229395*i6 +
2.139647487*i7 + 0.7404132305*i8 - 1.715803589*i9 + 0.7640174275*i10 +
0.7509722855*i11 + 0.81582566*i12 + 0.2625995665*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 + 4.487283041*i1 - 1.008272803*i2 - 0.6862103215*i3 -
0.4246850745*i4 + 2.98608078*i5 - 0.2648715535*i6 - 0.1635616625*i7 -
0.478486893*i8 + 0.067525863*i9 - 0.087020293*i10 - 0.4978930595*i11 -
0.111394384*i12 + 0.1010347015*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 - 3.0418102915*i1 -
1.514562486*i2 - 0.5679411765*i3 - 0.1776978505*i4 - 4.3954738325*i5 -
1.508296574*i6 - 0.7040126985*i7 - 0.5012689205*i8 - 0.2570400905*i9 -
0.0472079625*i10 - 0.6333191455*i11 - 0.3597872405*i12 - 0.0092484475*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 - 1.068034269*i1 - 1.9702675285*i2 -
0.0399781045*i3 + 0.039436362*i4 - 1.2363967325*i5 - 0.107099514*i6 -
0.026643497*i7 + 0.000593354*i8 - 1.1327014105*i9 + 0.0198921455*i10 -
0.0651726845*i11 - 0.048562398*i12 + 0.000423691*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 -
0.504868999*i1 - 0.223838452*i2 + 0.0316942325*i3 + 0.0737521485*i4 -
0.364422363*i5 + 0.01570572*i6 - 0.0133325785*i7 + 0.0241523325*i8 -
0.21859445*i9 + 0.036167507*i10 + 0.014960117*i11 - 0.011658801*i12 -
0.008229984*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) + 13.8689641675*i1 - 2.7662878715*i2 +
0.078329024*i3 + 1.4458018665*i4 + 14.532599669*i5 + 7.732680672*i6 +
4.4572808385*i7 + 1.366951519*i8 - 2.066763484*i9 + 1.1350678385*i10 +
1.350579154*i11 + 1.0726094725*i12 + 0.364453229*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 + 7.879812818*i1 - 1.2832418045*i2 - 0.8928208955*i3 -
0.643973437*i4 + 6.766925722*i5 - 0.092406253*i6 - 0.0629369475*i7 -
1.3586208615*i8 + 0.1852119085*i9 - 0.1761968105*i10 - 0.4642049575*i11 -
0.0544572285*i12 + 0.1102654365*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 - 2.7088662415*
i1 - 1.8868157635*i2 - 0.7116682285*i3 - 0.267796792*i4 - 4.8527563735*i5
- 2.504480646*i6 - 1.152758759*i7 - 1.138573778*i8 - 0.2229937915*i9 -
0.081720225*i10 - 0.6990111455*i11 - 0.31210937*i12 + 0.0150165305*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 - 1.3599285725*i1 - 3.2974763555*i2 - 0.075132111*i3 +
0.041048208*i4 - 1.827314676*i5 - 0.250194293*i6 - 0.0532306545*i7 -
0.0424369045*i8 - 1.878622603*i9 + 0.0192240705*i10 - 0.100421631*i11 -
0.0488371095*i12 + 0.0051849995*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 -
0.6369425565*i1 - 0.400532281*i2 + 0.01771152*i3 + 0.0910889475*i4 -
0.671206495*i5 - 0.0026390425*i6 - 0.0164414625*i7 + 0.074391477*i8 -
0.3493322045*i9 + 0.0482176475*i10 - 0.012155684*i11 - 0.01908805*i12 -
0.004730835*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.. - 5*i1 - 5*i5 - 5*i6 - 5*i7 - 5*i8 =L= -31;
e3.. - 5*i1 - 5*i5 - 5*i6 - 5*i7 - 5*i8 =G= -41;
e4.. - 5*i2 - 5*i9 =L= -44;
e5.. - 5*i2 - 5*i9 =G= -47;
e6.. - 5*i4 - 5*i10 =G= -210;
e7.. - 5*i3 - 5*i11 - 5*i12 - 5*i13 =G= -210;
e8.. - 5*i1 - 5*i5 =G= -16;
e9.. - 5*i4 - 5*i10 =L= -89;
e10.. - 5*i4 - 5*i10 =G= -136;
* set non-default bounds
i1.up = 3;
i2.fx = 9;
i3.up = 42;
i4.lo = 11; i4.up = 21;
i5.up = 2;
i6.up = 2;
i7.up = 2;
i8.up = 5;
i9.up = 2;
i10.up = 10;
i11.up = 16;
i12.up = 16;
i13.up = 8;
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: 2024-12-17 Git hash: 8eaceb91