# MINLP written by GAMS Convert at 02/17/22 17:18:40
#
# 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
#        40       20        0       20        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        40        0       40
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i2 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i3 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i4 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i5 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i6 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i7 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i8 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i9 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i10 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i11 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i12 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i13 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i14 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i15 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i16 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i17 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i18 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i19 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i20 = Var(within=Integers, bounds=(0,5), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,5), initialize=0)

m.obj = Objective(sense=minimize, expr= -0.64 * m.i1 - 0.38 * m.i2 - 0.19 *
    m.i3 - 0.43 * m.i4 - 0.48 * m.i5 - 0.12 * m.i6 - 0.59 * m.i7 - 0.23 * m.i8
    - 0.38 * m.i9 - 0.85 * m.i10 - 0.25 * m.i11 - 0.29 * m.i12 - 0.62 * m.i13
    - 0.82 * m.i14 - 0.27 * m.i15 - 0.98 * m.i16 - 0.73 * m.i17 - 0.34 * m.i18
    - 0.58 * m.i19 - 0.11 * m.i20 - 0.91 * m.x21 - 0.88 * m.x22 - 0.82 * m.x23
    - 0.26 * m.x24 - 0.02 * m.x25 - 0.43 * m.x26 - 0.31 * m.x27 - 0.59 * m.x28
    - 0.16 * m.x29 - 0.18 * m.x30 - 0.42 * m.x31 - 0.09 * m.x32 - 0.6 * m.x33
    - 0.47 * m.x34 - 0.7 * m.x35 - 0.7 * m.x36 - 0.64 * m.x37 - 0.03 * m.x38
    - 0.07 * m.x39 - 0.32 * m.x40)

m.e1 = Constraint(expr= sqrt(m.i1**2 + m.i2**2 + m.i3**2 + m.i4**2 + m.i5**2 +
    m.i6**2 + m.i7**2 + m.i8**2 + m.i9**2 + m.i10**2 + m.i11**2 + m.i12**2 +
    m.i13**2 + m.i14**2 + m.i15**2 + m.i16**2 + m.i17**2 + m.i18**2 + m.i19**2
    + m.i20**2 + m.x21**2 + m.x22**2 + m.x23**2 + m.x24**2 + m.x25**2 + m.x26
    **2 + m.x27**2 + m.x28**2 + m.x29**2 + m.x30**2 + m.x31**2 + m.x32**2 +
    m.x33**2 + m.x34**2 + m.x35**2 + m.x36**2 + m.x37**2 + m.x38**2 + m.x39**2
    + m.x40**2 + 0.0001) <= 10)