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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: autocorr_bern55-06

degree-four model for low autocorrelated binary sequences
This instance arises in theoretical physics. Determining a ground
state in the so-called Bernasconi model amounts to minimizing a
degree-four energy function over variables taking values in
{+1,-1}. Here, the energy function is expressed in 0/1 variables. The
model contains symmetries, leading to multiple optimum solutions.
Formats ams gms mod nl osil pip
Primal Bounds
-2384.00000000 p1 ( gdx sol )
(infeas: 0)
-2400.00000000 p2 ( gdx sol )
(infeas: 0)
Dual Bounds
-4584.00000000 (ANTIGONE)
-3439.18127200 (BARON)
-7848.00000000 (COUENNE)
-8032.00000000 (LINDO)
-13613.75678000 (SCIP)
References Liers, Frauke, Marinari, Enzo, Pagacz, Ulrike, Ricci-Tersenghi, Federico, and Schmitz, Vera, A Non-Disordered Glassy Model with a Tunable Interaction Range, Journal of Statistical Mechanics: Theory and Experiment, 2010, L05003.
Source POLIP instance autocorrelated_sequences/bernasconi.55.6
Application Autocorrelated Sequences
Added to library 26 Feb 2014
Problem type MBNLP
#Variables 56
#Binary Variables 55
#Integer Variables 0
#Nonlinear Variables 55
#Nonlinear Binary Variables 55
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 1
#Linear Constraints 0
#Quadratic Constraints 0
#Polynomial Constraints 1
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 56
#Nonlinear Nonzeros in Jacobian 55
#Nonzeros in (Upper-Left) Hessian of Lagrangian 520
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 55
Maximal blocksize in Hessian of Lagrangian 55
Average blocksize in Hessian of Lagrangian 55.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 0
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          1        0        0        1        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         56        1       55        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*         56        1       55        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,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,b52,b53
          ,b54,b55,objvar;

Binary Variables  b1,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
          ,b52,b53,b54,b55;

Equations  e1;


e1.. 64*b1*b2*b3*b4 + 64*b1*b2*b4*b5 + 64*b1*b2*b5*b6 + 64*b1*b3*b4*b6 + 128*b2
     *b3*b4*b5 + 128*b2*b3*b5*b6 + 64*b2*b3*b6*b7 + 64*b2*b4*b5*b7 + 192*b3*b4*
     b5*b6 + 128*b3*b4*b6*b7 + 64*b3*b4*b7*b8 + 64*b3*b5*b6*b8 + 192*b4*b5*b6*
     b7 + 128*b4*b5*b7*b8 + 64*b4*b5*b8*b9 + 64*b4*b6*b7*b9 + 192*b5*b6*b7*b8
      + 128*b5*b6*b8*b9 + 64*b5*b6*b9*b10 + 64*b5*b7*b8*b10 + 192*b6*b7*b8*b9
      + 128*b6*b7*b9*b10 + 64*b6*b7*b10*b11 + 64*b6*b8*b9*b11 + 192*b7*b8*b9*
     b10 + 128*b7*b8*b10*b11 + 64*b7*b8*b11*b12 + 64*b7*b9*b10*b12 + 192*b8*b9*
     b10*b11 + 128*b8*b9*b11*b12 + 64*b8*b9*b12*b13 + 64*b8*b10*b11*b13 + 192*
     b9*b10*b11*b12 + 128*b9*b10*b12*b13 + 64*b9*b10*b13*b14 + 64*b9*b11*b12*
     b14 + 192*b10*b11*b12*b13 + 128*b10*b11*b13*b14 + 64*b10*b11*b14*b15 + 64*
     b10*b12*b13*b15 + 192*b11*b12*b13*b14 + 128*b11*b12*b14*b15 + 64*b11*b12*
     b15*b16 + 64*b11*b13*b14*b16 + 192*b12*b13*b14*b15 + 128*b12*b13*b15*b16
      + 64*b12*b13*b16*b17 + 64*b12*b14*b15*b17 + 192*b13*b14*b15*b16 + 128*b13
     *b14*b16*b17 + 64*b13*b14*b17*b18 + 64*b13*b15*b16*b18 + 192*b14*b15*b16*
     b17 + 128*b14*b15*b17*b18 + 64*b14*b15*b18*b19 + 64*b14*b16*b17*b19 + 192*
     b15*b16*b17*b18 + 128*b15*b16*b18*b19 + 64*b15*b16*b19*b20 + 64*b15*b17*
     b18*b20 + 192*b16*b17*b18*b19 + 128*b16*b17*b19*b20 + 64*b16*b17*b20*b21
      + 64*b16*b18*b19*b21 + 192*b17*b18*b19*b20 + 128*b17*b18*b20*b21 + 64*b17
     *b18*b21*b22 + 64*b17*b19*b20*b22 + 192*b18*b19*b20*b21 + 128*b18*b19*b21*
     b22 + 64*b18*b19*b22*b23 + 64*b18*b20*b21*b23 + 192*b19*b20*b21*b22 + 128*
     b19*b20*b22*b23 + 64*b19*b20*b23*b24 + 64*b19*b21*b22*b24 + 192*b20*b21*
     b22*b23 + 128*b20*b21*b23*b24 + 64*b20*b21*b24*b25 + 64*b20*b22*b23*b25 + 
     192*b21*b22*b23*b24 + 128*b21*b22*b24*b25 + 64*b21*b22*b25*b26 + 64*b21*
     b23*b24*b26 + 192*b22*b23*b24*b25 + 128*b22*b23*b25*b26 + 64*b22*b23*b26*
     b27 + 64*b22*b24*b25*b27 + 192*b23*b24*b25*b26 + 128*b23*b24*b26*b27 + 64*
     b23*b24*b27*b28 + 64*b23*b25*b26*b28 + 192*b24*b25*b26*b27 + 128*b24*b25*
     b27*b28 + 64*b24*b25*b28*b29 + 64*b24*b26*b27*b29 + 192*b25*b26*b27*b28 + 
     128*b25*b26*b28*b29 + 64*b25*b26*b29*b30 + 64*b25*b27*b28*b30 + 192*b26*
     b27*b28*b29 + 128*b26*b27*b29*b30 + 64*b26*b27*b30*b31 + 64*b26*b28*b29*
     b31 + 192*b27*b28*b29*b30 + 128*b27*b28*b30*b31 + 64*b27*b28*b31*b32 + 64*
     b27*b29*b30*b32 + 192*b28*b29*b30*b31 + 128*b28*b29*b31*b32 + 64*b28*b29*
     b32*b33 + 64*b28*b30*b31*b33 + 192*b29*b30*b31*b32 + 128*b29*b30*b32*b33
      + 64*b29*b30*b33*b34 + 64*b29*b31*b32*b34 + 192*b30*b31*b32*b33 + 128*b30
     *b31*b33*b34 + 64*b30*b31*b34*b35 + 64*b30*b32*b33*b35 + 192*b31*b32*b33*
     b34 + 128*b31*b32*b34*b35 + 64*b31*b32*b35*b36 + 64*b31*b33*b34*b36 + 192*
     b32*b33*b34*b35 + 128*b32*b33*b35*b36 + 64*b32*b33*b36*b37 + 64*b32*b34*
     b35*b37 + 192*b33*b34*b35*b36 + 128*b33*b34*b36*b37 + 64*b33*b34*b37*b38
      + 64*b33*b35*b36*b38 + 192*b34*b35*b36*b37 + 128*b34*b35*b37*b38 + 64*b34
     *b35*b38*b39 + 64*b34*b36*b37*b39 + 192*b35*b36*b37*b38 + 128*b35*b36*b38*
     b39 + 64*b35*b36*b39*b40 + 64*b35*b37*b38*b40 + 192*b36*b37*b38*b39 + 128*
     b36*b37*b39*b40 + 64*b36*b37*b40*b41 + 64*b36*b38*b39*b41 + 192*b37*b38*
     b39*b40 + 128*b37*b38*b40*b41 + 64*b37*b38*b41*b42 + 64*b37*b39*b40*b42 + 
     192*b38*b39*b40*b41 + 128*b38*b39*b41*b42 + 64*b38*b39*b42*b43 + 64*b38*
     b40*b41*b43 + 192*b39*b40*b41*b42 + 128*b39*b40*b42*b43 + 64*b39*b40*b43*
     b44 + 64*b39*b41*b42*b44 + 192*b40*b41*b42*b43 + 128*b40*b41*b43*b44 + 64*
     b40*b41*b44*b45 + 64*b40*b42*b43*b45 + 192*b41*b42*b43*b44 + 128*b41*b42*
     b44*b45 + 64*b41*b42*b45*b46 + 64*b41*b43*b44*b46 + 192*b42*b43*b44*b45 + 
     128*b42*b43*b45*b46 + 64*b42*b43*b46*b47 + 64*b42*b44*b45*b47 + 192*b43*
     b44*b45*b46 + 128*b43*b44*b46*b47 + 64*b43*b44*b47*b48 + 64*b43*b45*b46*
     b48 + 192*b44*b45*b46*b47 + 128*b44*b45*b47*b48 + 64*b44*b45*b48*b49 + 64*
     b44*b46*b47*b49 + 192*b45*b46*b47*b48 + 128*b45*b46*b48*b49 + 64*b45*b46*
     b49*b50 + 64*b45*b47*b48*b50 + 192*b46*b47*b48*b49 + 128*b46*b47*b49*b50
      + 64*b46*b47*b50*b51 + 64*b46*b48*b49*b51 + 192*b47*b48*b49*b50 + 128*b47
     *b48*b50*b51 + 64*b47*b48*b51*b52 + 64*b47*b49*b50*b52 + 192*b48*b49*b50*
     b51 + 128*b48*b49*b51*b52 + 64*b48*b49*b52*b53 + 64*b48*b50*b51*b53 + 192*
     b49*b50*b51*b52 + 128*b49*b50*b52*b53 + 64*b49*b50*b53*b54 + 64*b49*b51*
     b52*b54 + 192*b50*b51*b52*b53 + 128*b50*b51*b53*b54 + 64*b50*b51*b54*b55
      + 64*b50*b52*b53*b55 + 128*b51*b52*b53*b54 + 64*b51*b52*b54*b55 + 64*b52*
     b53*b54*b55 - 32*b1*b2*b3 - 64*b1*b2*b4 - 64*b1*b2*b5 - 32*b1*b2*b6 - 64*
     b1*b3*b4 - 32*b1*b3*b6 - 32*b1*b4*b5 - 32*b1*b4*b6 - 32*b1*b5*b6 - 96*b2*
     b3*b4 - 128*b2*b3*b5 - 96*b2*b3*b6 - 32*b2*b3*b7 - 128*b2*b4*b5 - 32*b2*b4
     *b7 - 96*b2*b5*b6 - 32*b2*b5*b7 - 32*b2*b6*b7 - 160*b3*b4*b5 - 192*b3*b4*
     b6 - 96*b3*b4*b7 - 32*b3*b4*b8 - 192*b3*b5*b6 - 32*b3*b5*b8 - 96*b3*b6*b7
      - 32*b3*b6*b8 - 32*b3*b7*b8 - 192*b4*b5*b6 - 192*b4*b5*b7 - 96*b4*b5*b8
      - 32*b4*b5*b9 - 192*b4*b6*b7 - 32*b4*b6*b9 - 96*b4*b7*b8 - 32*b4*b7*b9 - 
     32*b4*b8*b9 - 192*b5*b6*b7 - 192*b5*b6*b8 - 96*b5*b6*b9 - 32*b5*b6*b10 - 
     192*b5*b7*b8 - 32*b5*b7*b10 - 96*b5*b8*b9 - 32*b5*b8*b10 - 32*b5*b9*b10 - 
     192*b6*b7*b8 - 192*b6*b7*b9 - 96*b6*b7*b10 - 32*b6*b7*b11 - 192*b6*b8*b9
      - 32*b6*b8*b11 - 96*b6*b9*b10 - 32*b6*b9*b11 - 32*b6*b10*b11 - 192*b7*b8*
     b9 - 192*b7*b8*b10 - 96*b7*b8*b11 - 32*b7*b8*b12 - 192*b7*b9*b10 - 32*b7*
     b9*b12 - 96*b7*b10*b11 - 32*b7*b10*b12 - 32*b7*b11*b12 - 192*b8*b9*b10 - 
     192*b8*b9*b11 - 96*b8*b9*b12 - 32*b8*b9*b13 - 192*b8*b10*b11 - 32*b8*b10*
     b13 - 96*b8*b11*b12 - 32*b8*b11*b13 - 32*b8*b12*b13 - 192*b9*b10*b11 - 192
     *b9*b10*b12 - 96*b9*b10*b13 - 32*b9*b10*b14 - 192*b9*b11*b12 - 32*b9*b11*
     b14 - 96*b9*b12*b13 - 32*b9*b12*b14 - 32*b9*b13*b14 - 192*b10*b11*b12 - 
     192*b10*b11*b13 - 96*b10*b11*b14 - 32*b10*b11*b15 - 192*b10*b12*b13 - 32*
     b10*b12*b15 - 96*b10*b13*b14 - 32*b10*b13*b15 - 32*b10*b14*b15 - 192*b11*
     b12*b13 - 192*b11*b12*b14 - 96*b11*b12*b15 - 32*b11*b12*b16 - 192*b11*b13*
     b14 - 32*b11*b13*b16 - 96*b11*b14*b15 - 32*b11*b14*b16 - 32*b11*b15*b16 - 
     192*b12*b13*b14 - 192*b12*b13*b15 - 96*b12*b13*b16 - 32*b12*b13*b17 - 192*
     b12*b14*b15 - 32*b12*b14*b17 - 96*b12*b15*b16 - 32*b12*b15*b17 - 32*b12*
     b16*b17 - 192*b13*b14*b15 - 192*b13*b14*b16 - 96*b13*b14*b17 - 32*b13*b14*
     b18 - 192*b13*b15*b16 - 32*b13*b15*b18 - 96*b13*b16*b17 - 32*b13*b16*b18
      - 32*b13*b17*b18 - 192*b14*b15*b16 - 192*b14*b15*b17 - 96*b14*b15*b18 - 
     32*b14*b15*b19 - 192*b14*b16*b17 - 32*b14*b16*b19 - 96*b14*b17*b18 - 32*
     b14*b17*b19 - 32*b14*b18*b19 - 192*b15*b16*b17 - 192*b15*b16*b18 - 96*b15*
     b16*b19 - 32*b15*b16*b20 - 192*b15*b17*b18 - 32*b15*b17*b20 - 96*b15*b18*
     b19 - 32*b15*b18*b20 - 32*b15*b19*b20 - 192*b16*b17*b18 - 192*b16*b17*b19
      - 96*b16*b17*b20 - 32*b16*b17*b21 - 192*b16*b18*b19 - 32*b16*b18*b21 - 96
     *b16*b19*b20 - 32*b16*b19*b21 - 32*b16*b20*b21 - 192*b17*b18*b19 - 192*b17
     *b18*b20 - 96*b17*b18*b21 - 32*b17*b18*b22 - 192*b17*b19*b20 - 32*b17*b19*
     b22 - 96*b17*b20*b21 - 32*b17*b20*b22 - 32*b17*b21*b22 - 192*b18*b19*b20
      - 192*b18*b19*b21 - 96*b18*b19*b22 - 32*b18*b19*b23 - 192*b18*b20*b21 - 
     32*b18*b20*b23 - 96*b18*b21*b22 - 32*b18*b21*b23 - 32*b18*b22*b23 - 192*
     b19*b20*b21 - 192*b19*b20*b22 - 96*b19*b20*b23 - 32*b19*b20*b24 - 192*b19*
     b21*b22 - 32*b19*b21*b24 - 96*b19*b22*b23 - 32*b19*b22*b24 - 32*b19*b23*
     b24 - 192*b20*b21*b22 - 192*b20*b21*b23 - 96*b20*b21*b24 - 32*b20*b21*b25
      - 192*b20*b22*b23 - 32*b20*b22*b25 - 96*b20*b23*b24 - 32*b20*b23*b25 - 32
     *b20*b24*b25 - 192*b21*b22*b23 - 192*b21*b22*b24 - 96*b21*b22*b25 - 32*b21
     *b22*b26 - 192*b21*b23*b24 - 32*b21*b23*b26 - 96*b21*b24*b25 - 32*b21*b24*
     b26 - 32*b21*b25*b26 - 192*b22*b23*b24 - 192*b22*b23*b25 - 96*b22*b23*b26
      - 32*b22*b23*b27 - 192*b22*b24*b25 - 32*b22*b24*b27 - 96*b22*b25*b26 - 32
     *b22*b25*b27 - 32*b22*b26*b27 - 192*b23*b24*b25 - 192*b23*b24*b26 - 96*b23
     *b24*b27 - 32*b23*b24*b28 - 192*b23*b25*b26 - 32*b23*b25*b28 - 96*b23*b26*
     b27 - 32*b23*b26*b28 - 32*b23*b27*b28 - 192*b24*b25*b26 - 192*b24*b25*b27
      - 96*b24*b25*b28 - 32*b24*b25*b29 - 192*b24*b26*b27 - 32*b24*b26*b29 - 96
     *b24*b27*b28 - 32*b24*b27*b29 - 32*b24*b28*b29 - 192*b25*b26*b27 - 192*b25
     *b26*b28 - 96*b25*b26*b29 - 32*b25*b26*b30 - 192*b25*b27*b28 - 32*b25*b27*
     b30 - 96*b25*b28*b29 - 32*b25*b28*b30 - 32*b25*b29*b30 - 192*b26*b27*b28
      - 192*b26*b27*b29 - 96*b26*b27*b30 - 32*b26*b27*b31 - 192*b26*b28*b29 - 
     32*b26*b28*b31 - 96*b26*b29*b30 - 32*b26*b29*b31 - 32*b26*b30*b31 - 192*
     b27*b28*b29 - 192*b27*b28*b30 - 96*b27*b28*b31 - 32*b27*b28*b32 - 192*b27*
     b29*b30 - 32*b27*b29*b32 - 96*b27*b30*b31 - 32*b27*b30*b32 - 32*b27*b31*
     b32 - 192*b28*b29*b30 - 192*b28*b29*b31 - 96*b28*b29*b32 - 32*b28*b29*b33
      - 192*b28*b30*b31 - 32*b28*b30*b33 - 96*b28*b31*b32 - 32*b28*b31*b33 - 32
     *b28*b32*b33 - 192*b29*b30*b31 - 192*b29*b30*b32 - 96*b29*b30*b33 - 32*b29
     *b30*b34 - 192*b29*b31*b32 - 32*b29*b31*b34 - 96*b29*b32*b33 - 32*b29*b32*
     b34 - 32*b29*b33*b34 - 192*b30*b31*b32 - 192*b30*b31*b33 - 96*b30*b31*b34
      - 32*b30*b31*b35 - 192*b30*b32*b33 - 32*b30*b32*b35 - 96*b30*b33*b34 - 32
     *b30*b33*b35 - 32*b30*b34*b35 - 192*b31*b32*b33 - 192*b31*b32*b34 - 96*b31
     *b32*b35 - 32*b31*b32*b36 - 192*b31*b33*b34 - 32*b31*b33*b36 - 96*b31*b34*
     b35 - 32*b31*b34*b36 - 32*b31*b35*b36 - 192*b32*b33*b34 - 192*b32*b33*b35
      - 96*b32*b33*b36 - 32*b32*b33*b37 - 192*b32*b34*b35 - 32*b32*b34*b37 - 96
     *b32*b35*b36 - 32*b32*b35*b37 - 32*b32*b36*b37 - 192*b33*b34*b35 - 192*b33
     *b34*b36 - 96*b33*b34*b37 - 32*b33*b34*b38 - 192*b33*b35*b36 - 32*b33*b35*
     b38 - 96*b33*b36*b37 - 32*b33*b36*b38 - 32*b33*b37*b38 - 192*b34*b35*b36
      - 192*b34*b35*b37 - 96*b34*b35*b38 - 32*b34*b35*b39 - 192*b34*b36*b37 - 
     32*b34*b36*b39 - 96*b34*b37*b38 - 32*b34*b37*b39 - 32*b34*b38*b39 - 192*
     b35*b36*b37 - 192*b35*b36*b38 - 96*b35*b36*b39 - 32*b35*b36*b40 - 192*b35*
     b37*b38 - 32*b35*b37*b40 - 96*b35*b38*b39 - 32*b35*b38*b40 - 32*b35*b39*
     b40 - 192*b36*b37*b38 - 192*b36*b37*b39 - 96*b36*b37*b40 - 32*b36*b37*b41
      - 192*b36*b38*b39 - 32*b36*b38*b41 - 96*b36*b39*b40 - 32*b36*b39*b41 - 32
     *b36*b40*b41 - 192*b37*b38*b39 - 192*b37*b38*b40 - 96*b37*b38*b41 - 32*b37
     *b38*b42 - 192*b37*b39*b40 - 32*b37*b39*b42 - 96*b37*b40*b41 - 32*b37*b40*
     b42 - 32*b37*b41*b42 - 192*b38*b39*b40 - 192*b38*b39*b41 - 96*b38*b39*b42
      - 32*b38*b39*b43 - 192*b38*b40*b41 - 32*b38*b40*b43 - 96*b38*b41*b42 - 32
     *b38*b41*b43 - 32*b38*b42*b43 - 192*b39*b40*b41 - 192*b39*b40*b42 - 96*b39
     *b40*b43 - 32*b39*b40*b44 - 192*b39*b41*b42 - 32*b39*b41*b44 - 96*b39*b42*
     b43 - 32*b39*b42*b44 - 32*b39*b43*b44 - 192*b40*b41*b42 - 192*b40*b41*b43
      - 96*b40*b41*b44 - 32*b40*b41*b45 - 192*b40*b42*b43 - 32*b40*b42*b45 - 96
     *b40*b43*b44 - 32*b40*b43*b45 - 32*b40*b44*b45 - 192*b41*b42*b43 - 192*b41
     *b42*b44 - 96*b41*b42*b45 - 32*b41*b42*b46 - 192*b41*b43*b44 - 32*b41*b43*
     b46 - 96*b41*b44*b45 - 32*b41*b44*b46 - 32*b41*b45*b46 - 192*b42*b43*b44
      - 192*b42*b43*b45 - 96*b42*b43*b46 - 32*b42*b43*b47 - 192*b42*b44*b45 - 
     32*b42*b44*b47 - 96*b42*b45*b46 - 32*b42*b45*b47 - 32*b42*b46*b47 - 192*
     b43*b44*b45 - 192*b43*b44*b46 - 96*b43*b44*b47 - 32*b43*b44*b48 - 192*b43*
     b45*b46 - 32*b43*b45*b48 - 96*b43*b46*b47 - 32*b43*b46*b48 - 32*b43*b47*
     b48 - 192*b44*b45*b46 - 192*b44*b45*b47 - 96*b44*b45*b48 - 32*b44*b45*b49
      - 192*b44*b46*b47 - 32*b44*b46*b49 - 96*b44*b47*b48 - 32*b44*b47*b49 - 32
     *b44*b48*b49 - 192*b45*b46*b47 - 192*b45*b46*b48 - 96*b45*b46*b49 - 32*b45
     *b46*b50 - 192*b45*b47*b48 - 32*b45*b47*b50 - 96*b45*b48*b49 - 32*b45*b48*
     b50 - 32*b45*b49*b50 - 192*b46*b47*b48 - 192*b46*b47*b49 - 96*b46*b47*b50
      - 32*b46*b47*b51 - 192*b46*b48*b49 - 32*b46*b48*b51 - 96*b46*b49*b50 - 32
     *b46*b49*b51 - 32*b46*b50*b51 - 192*b47*b48*b49 - 192*b47*b48*b50 - 96*b47
     *b48*b51 - 32*b47*b48*b52 - 192*b47*b49*b50 - 32*b47*b49*b52 - 96*b47*b50*
     b51 - 32*b47*b50*b52 - 32*b47*b51*b52 - 192*b48*b49*b50 - 192*b48*b49*b51
      - 96*b48*b49*b52 - 32*b48*b49*b53 - 192*b48*b50*b51 - 32*b48*b50*b53 - 96
     *b48*b51*b52 - 32*b48*b51*b53 - 32*b48*b52*b53 - 192*b49*b50*b51 - 192*b49
     *b50*b52 - 96*b49*b50*b53 - 32*b49*b50*b54 - 192*b49*b51*b52 - 32*b49*b51*
     b54 - 96*b49*b52*b53 - 32*b49*b52*b54 - 32*b49*b53*b54 - 192*b50*b51*b52
      - 192*b50*b51*b53 - 96*b50*b51*b54 - 32*b50*b51*b55 - 192*b50*b52*b53 - 
     32*b50*b52*b55 - 96*b50*b53*b54 - 32*b50*b53*b55 - 32*b50*b54*b55 - 160*
     b51*b52*b53 - 128*b51*b52*b54 - 32*b51*b52*b55 - 128*b51*b53*b54 - 64*b51*
     b54*b55 - 96*b52*b53*b54 - 64*b52*b53*b55 - 64*b52*b54*b55 - 32*b53*b54*
     b55 + 48*b1*b2 + 40*b1*b3 + 48*b1*b4 + 40*b1*b5 + 32*b1*b6 + 96*b2*b3 + 96
     *b2*b4 + 112*b2*b5 + 80*b2*b6 + 32*b2*b7 + 160*b3*b4 + 152*b3*b5 + 160*b3*
     b6 + 80*b3*b7 + 32*b3*b8 + 208*b4*b5 + 192*b4*b6 + 160*b4*b7 + 80*b4*b8 + 
     32*b4*b9 + 256*b5*b6 + 192*b5*b7 + 160*b5*b8 + 80*b5*b9 + 32*b5*b10 + 256*
     b6*b7 + 192*b6*b8 + 160*b6*b9 + 80*b6*b10 + 32*b6*b11 + 256*b7*b8 + 192*b7
     *b9 + 160*b7*b10 + 80*b7*b11 + 32*b7*b12 + 256*b8*b9 + 192*b8*b10 + 160*b8
     *b11 + 80*b8*b12 + 32*b8*b13 + 256*b9*b10 + 192*b9*b11 + 160*b9*b12 + 80*
     b9*b13 + 32*b9*b14 + 256*b10*b11 + 192*b10*b12 + 160*b10*b13 + 80*b10*b14
      + 32*b10*b15 + 256*b11*b12 + 192*b11*b13 + 160*b11*b14 + 80*b11*b15 + 32*
     b11*b16 + 256*b12*b13 + 192*b12*b14 + 160*b12*b15 + 80*b12*b16 + 32*b12*
     b17 + 256*b13*b14 + 192*b13*b15 + 160*b13*b16 + 80*b13*b17 + 32*b13*b18 + 
     256*b14*b15 + 192*b14*b16 + 160*b14*b17 + 80*b14*b18 + 32*b14*b19 + 256*
     b15*b16 + 192*b15*b17 + 160*b15*b18 + 80*b15*b19 + 32*b15*b20 + 256*b16*
     b17 + 192*b16*b18 + 160*b16*b19 + 80*b16*b20 + 32*b16*b21 + 256*b17*b18 + 
     192*b17*b19 + 160*b17*b20 + 80*b17*b21 + 32*b17*b22 + 256*b18*b19 + 192*
     b18*b20 + 160*b18*b21 + 80*b18*b22 + 32*b18*b23 + 256*b19*b20 + 192*b19*
     b21 + 160*b19*b22 + 80*b19*b23 + 32*b19*b24 + 256*b20*b21 + 192*b20*b22 + 
     160*b20*b23 + 80*b20*b24 + 32*b20*b25 + 256*b21*b22 + 192*b21*b23 + 160*
     b21*b24 + 80*b21*b25 + 32*b21*b26 + 256*b22*b23 + 192*b22*b24 + 160*b22*
     b25 + 80*b22*b26 + 32*b22*b27 + 256*b23*b24 + 192*b23*b25 + 160*b23*b26 + 
     80*b23*b27 + 32*b23*b28 + 256*b24*b25 + 192*b24*b26 + 160*b24*b27 + 80*b24
     *b28 + 32*b24*b29 + 256*b25*b26 + 192*b25*b27 + 160*b25*b28 + 80*b25*b29
      + 32*b25*b30 + 256*b26*b27 + 192*b26*b28 + 160*b26*b29 + 80*b26*b30 + 32*
     b26*b31 + 256*b27*b28 + 192*b27*b29 + 160*b27*b30 + 80*b27*b31 + 32*b27*
     b32 + 256*b28*b29 + 192*b28*b30 + 160*b28*b31 + 80*b28*b32 + 32*b28*b33 + 
     256*b29*b30 + 192*b29*b31 + 160*b29*b32 + 80*b29*b33 + 32*b29*b34 + 256*
     b30*b31 + 192*b30*b32 + 160*b30*b33 + 80*b30*b34 + 32*b30*b35 + 256*b31*
     b32 + 192*b31*b33 + 160*b31*b34 + 80*b31*b35 + 32*b31*b36 + 256*b32*b33 + 
     192*b32*b34 + 160*b32*b35 + 80*b32*b36 + 32*b32*b37 + 256*b33*b34 + 192*
     b33*b35 + 160*b33*b36 + 80*b33*b37 + 32*b33*b38 + 256*b34*b35 + 192*b34*
     b36 + 160*b34*b37 + 80*b34*b38 + 32*b34*b39 + 256*b35*b36 + 192*b35*b37 + 
     160*b35*b38 + 80*b35*b39 + 32*b35*b40 + 256*b36*b37 + 192*b36*b38 + 160*
     b36*b39 + 80*b36*b40 + 32*b36*b41 + 256*b37*b38 + 192*b37*b39 + 160*b37*
     b40 + 80*b37*b41 + 32*b37*b42 + 256*b38*b39 + 192*b38*b40 + 160*b38*b41 + 
     80*b38*b42 + 32*b38*b43 + 256*b39*b40 + 192*b39*b41 + 160*b39*b42 + 80*b39
     *b43 + 32*b39*b44 + 256*b40*b41 + 192*b40*b42 + 160*b40*b43 + 80*b40*b44
      + 32*b40*b45 + 256*b41*b42 + 192*b41*b43 + 160*b41*b44 + 80*b41*b45 + 32*
     b41*b46 + 256*b42*b43 + 192*b42*b44 + 160*b42*b45 + 80*b42*b46 + 32*b42*
     b47 + 256*b43*b44 + 192*b43*b45 + 160*b43*b46 + 80*b43*b47 + 32*b43*b48 + 
     256*b44*b45 + 192*b44*b46 + 160*b44*b47 + 80*b44*b48 + 32*b44*b49 + 256*
     b45*b46 + 192*b45*b47 + 160*b45*b48 + 80*b45*b49 + 32*b45*b50 + 256*b46*
     b47 + 192*b46*b48 + 160*b46*b49 + 80*b46*b50 + 32*b46*b51 + 256*b47*b48 + 
     192*b47*b49 + 160*b47*b50 + 80*b47*b51 + 32*b47*b52 + 256*b48*b49 + 192*
     b48*b50 + 160*b48*b51 + 80*b48*b52 + 32*b48*b53 + 256*b49*b50 + 192*b49*
     b51 + 160*b49*b52 + 80*b49*b53 + 32*b49*b54 + 256*b50*b51 + 192*b50*b52 + 
     160*b50*b53 + 80*b50*b54 + 32*b50*b55 + 208*b51*b52 + 152*b51*b53 + 112*
     b51*b54 + 40*b51*b55 + 160*b52*b53 + 96*b52*b54 + 48*b52*b55 + 96*b53*b54
      + 40*b53*b55 + 48*b54*b55 - 40*b1 - 88*b2 - 136*b3 - 184*b4 - 232*b5 - 
     272*b6 - 272*b7 - 272*b8 - 272*b9 - 272*b10 - 272*b11 - 272*b12 - 272*b13
      - 272*b14 - 272*b15 - 272*b16 - 272*b17 - 272*b18 - 272*b19 - 272*b20 - 
     272*b21 - 272*b22 - 272*b23 - 272*b24 - 272*b25 - 272*b26 - 272*b27 - 272*
     b28 - 272*b29 - 272*b30 - 272*b31 - 272*b32 - 272*b33 - 272*b34 - 272*b35
      - 272*b36 - 272*b37 - 272*b38 - 272*b39 - 272*b40 - 272*b41 - 272*b42 - 
     272*b43 - 272*b44 - 272*b45 - 272*b46 - 272*b47 - 272*b48 - 272*b49 - 272*
     b50 - 232*b51 - 184*b52 - 136*b53 - 88*b54 - 40*b55 - objvar =L= 0;

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: 2018-05-28 Git hash: ac4a64c1
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