# MINLP written by GAMS Convert at 02/17/22 17:18:21
#
# 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
#        10        0        0       10        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        10        0       10
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i2 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i3 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i4 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i5 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i6 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i7 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i8 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i9 = Var(within=Integers, bounds=(-100,None), initialize=0)
m.i10 = Var(within=Integers, bounds=(-100,None), initialize=0)

m.obj = Objective(sense=minimize, expr= 9 * m.i1 + 8 * m.i2 + 7 * m.i3 + 6 *
    m.i4 + 5 * m.i5 + 4 * m.i6 + 3 * m.i7 + 2 * m.i8 + m.i9 + 10 * m.i10)

m.e1 = Constraint(expr= 100 * m.i9**2 - 98 * m.i9 + 100 * m.i8**2 - 98 * m.i8
    + 100 * m.i7**2 - 98 * m.i7 + 100 * m.i6**2 - 98 * m.i6 + 100 * m.i5**2 -
    98 * m.i5 + 100 * m.i4**2 - 98 * m.i4 + 100 * m.i3**2 - 98 * m.i3 + 100 *
    m.i2**2 - 98 * m.i2 + 100 * m.i1**2 - 98 * m.i1 + 100 * m.i10**2 - 98 *
    m.i10 - 2 * m.i9 * m.i8 - 2 * m.i9 * m.i8 - 2 * m.i7 * m.i6 - 2 * m.i7 *
    m.i6 - 2 * m.i5 * m.i4 - 2 * m.i5 * m.i4 - 2 * m.i3 * m.i2 - 2 * m.i3 *
    m.i2 - 2 * m.i1 * m.i10 - 2 * m.i1 * m.i10 <= -1)