#  MINLP written by GAMS Convert at 01/12/18 13:29:56
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          2        1        0        1        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         21        1        0       20        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         41       21       20        0
# 
#  Reformulation has removed 1 variable and 1 equation


var i2 integer >= -1, <= 2;
var i3 integer >= -1, <= 2;
var i4 integer >= -1, <= 2;
var i5 integer >= -1, <= 2;
var i6 integer >= -1, <= 2;
var i7 integer >= -1, <= 2;
var i8 integer >= -1, <= 2;
var i9 integer >= -1, <= 2;
var i10 integer >= -1, <= 2;
var i11 integer >= -1, <= 2;
var i12 integer >= -1, <= 2;
var i13 integer >= -1, <= 2;
var i14 integer >= -1, <= 2;
var i15 integer >= -1, <= 2;
var i16 integer >= -1, <= 2;
var i17 integer >= -1, <= 2;
var i18 integer >= -1, <= 2;
var i19 integer >= -1, <= 2;
var i20 integer >= -1, <= 2;
var i21 integer >= -1, <= 2;

minimize obj:  - i2 - i3 - i4 - i5 - i6 - i7 - i8 - i9 - i10 - i11 - i12 - i13
     - i14 - i15 - i16 - i17 - i18 - i19 - i20 - i21;

subject to

e2: 0.0560877535068921*i20^2 - 0.0560877535068921*i20 + 0.0234361418326102*i19^
    2 - 0.0234361418326102*i19 + 0.0804348252437088*i18^2 - 0.0804348252437088*
    i18 + 0.083180630465482*i17^2 - 0.083180630465482*i17 + 0.0168840147598981*
    i16^2 - 0.0168840147598981*i16 + 0.0642555768399037*i15^2 - 
    0.0642555768399037*i15 + 0.0515967329760445*i14^2 - 0.0515967329760445*i14
     + 0.0291406913653282*i13^2 - 0.0291406913653282*i13 + 0.0358736092274657*
    i12^2 - 0.0358736092274657*i12 + 0.0403619397376071*i11^2 - 
    0.0403619397376071*i11 + 0.0604484044580273*i10^2 - 0.0604484044580273*i10
     + 0.0534869191762675*i9^2 - 0.0534869191762675*i9 + 0.0820022096762534*i8^
    2 - 0.0820022096762534*i8 + 0.0369575272885052*i7^2 - 0.0369575272885052*i7
     + 0.00889217633273991*i6^2 - 0.00889217633273991*i6 + 0.0674863595874412*
    i5^2 - 0.0674863595874412*i5 + 0.0436989257405813*i4^2 - 0.0436989257405813
    *i4 + 0.0218982155241878*i3^2 - 0.0218982155241878*i3 + 0.0699896991762921*
    i2^2 - 0.0699896991762921*i2 + 0.0738876470847639*i21^2 - 
    0.0738876470847639*i21 <= -9.99999999999335E-5;