# NLP written by GAMS Convert at 02/17/22 17:19:06
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        10        0        0       10        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        20       20        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       200      200        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,None), initialize=4.348)
m.x7 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,None), initialize=62.609)
m.x15 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,None), initialize=0)

m.obj = Objective(sense=minimize, expr= 0.5 * (42 * (52 + m.x11)**2 + 98 * (3
    + m.x12)**2 + 48 * (-81 + m.x13)**2 + 91 * (-30 + m.x14)**2 + 11 * (85 +
    m.x15)**2 + 63 * (-68 + m.x16)**2 + 61 * (-27 + m.x17)**2 + 61 * (81 +
    m.x18)**2 + 38 * (-97 + m.x19)**2 + 26 * (73 + m.x20)**2) - 0.5 * (63 * (19
    + m.x1)**2 + 15 * (27 + m.x2)**2 + 44 * (23 + m.x3)**2 + 91 * (53 + m.x4)
    **2 + 45 * (42 + m.x5)**2 + 50 * (-26 + m.x6)**2 + 89 * (33 + m.x7)**2 + 58
    * (23 + m.x8)**2 + 86 * (-41 + m.x9)**2 + 82 * (-19 + m.x10)**2))

m.e1 = Constraint(expr= 3 * m.x1 + 5 * m.x2 + 5 * m.x3 + 6 * m.x4 + 4 * m.x5 +
    4 * m.x6 + 5 * m.x7 + 6 * m.x8 + 4 * m.x9 + 4 * m.x10 + 8 * m.x11 + 4 *
    m.x12 + 2 * m.x13 + m.x14 + m.x15 + m.x16 + 2 * m.x17 + m.x18 + 7 * m.x19
    + 3 * m.x20 <= 380)
m.e2 = Constraint(expr= 5 * m.x1 + 4 * m.x2 + 5 * m.x3 + 4 * m.x4 + m.x5 + 4 *
    m.x6 + 4 * m.x7 + 2 * m.x8 + 5 * m.x9 + 2 * m.x10 + 3 * m.x11 + 6 * m.x12
    + m.x13 + 7 * m.x14 + 7 * m.x15 + 5 * m.x16 + 8 * m.x17 + 7 * m.x18 + 2 *
    m.x19 + m.x20 <= 415)
m.e3 = Constraint(expr= m.x1 + 5 * m.x2 + 2 * m.x3 + 4 * m.x4 + 7 * m.x5 + 3 *
    m.x6 + m.x7 + 5 * m.x8 + 7 * m.x9 + 6 * m.x10 + m.x11 + 7 * m.x12 + 2 *
    m.x13 + 4 * m.x14 + 7 * m.x15 + 5 * m.x16 + 3 * m.x17 + 4 * m.x18 + m.x19
    + 2 * m.x20 <= 385)
m.e4 = Constraint(expr= 3 * m.x1 + 2 * m.x2 + 6 * m.x3 + 3 * m.x4 + 2 * m.x5 +
    m.x6 + 6 * m.x7 + m.x8 + 7 * m.x9 + 3 * m.x10 + 7 * m.x11 + 7 * m.x12 + 8 *
    m.x13 + 2 * m.x14 + 3 * m.x15 + 4 * m.x16 + 5 * m.x17 + 8 * m.x18 + m.x19
    + 2 * m.x20 <= 405)
m.e5 = Constraint(expr= 6 * m.x1 + 6 * m.x2 + 6 * m.x3 + 4 * m.x4 + 5 * m.x5 +
    2 * m.x6 + 2 * m.x7 + 4 * m.x8 + 3 * m.x9 + 2 * m.x10 + 7 * m.x11 + 5 *
    m.x12 + 3 * m.x13 + 6 * m.x14 + 7 * m.x15 + 5 * m.x16 + 8 * m.x17 + 4 *
    m.x18 + 6 * m.x19 + 3 * m.x20 <= 470)
m.e6 = Constraint(expr= 5 * m.x1 + 5 * m.x2 + 2 * m.x3 + m.x4 + 3 * m.x5 + 5 *
    m.x6 + 5 * m.x7 + 7 * m.x8 + 4 * m.x9 + 3 * m.x10 + 4 * m.x11 + m.x12 + 7 *
    m.x13 + 3 * m.x14 + 8 * m.x15 + 3 * m.x16 + m.x17 + 6 * m.x18 + 2 * m.x19
    + 8 * m.x20 <= 415)
m.e7 = Constraint(expr= 3 * m.x1 + 6 * m.x2 + 6 * m.x3 + 3 * m.x4 + m.x5 + 6 *
    m.x6 + m.x7 + 6 * m.x8 + 7 * m.x9 + m.x10 + 4 * m.x11 + 3 * m.x12 + m.x13
    + 4 * m.x14 + 3 * m.x15 + 6 * m.x16 + 4 * m.x17 + 6 * m.x18 + 5 * m.x19 +
    4 * m.x20 <= 400)
m.e8 = Constraint(expr= m.x1 + 2 * m.x2 + m.x3 + 7 * m.x4 + 8 * m.x5 + 7 * m.x6
    + 6 * m.x7 + 5 * m.x8 + 8 * m.x9 + 7 * m.x10 + 2 * m.x11 + 3 * m.x12 + 5 *
    m.x13 + 5 * m.x14 + 4 * m.x15 + 5 * m.x16 + 4 * m.x17 + 2 * m.x18 + 2 *
    m.x19 + 8 * m.x20 <= 460)
m.e9 = Constraint(expr= 8 * m.x1 + 5 * m.x2 + 2 * m.x3 + 5 * m.x4 + 3 * m.x5 +
    8 * m.x6 + m.x7 + 3 * m.x8 + 3 * m.x9 + 5 * m.x10 + 4 * m.x11 + 5 * m.x12
    + 5 * m.x13 + 6 * m.x14 + m.x15 + 7 * m.x16 + m.x17 + 2 * m.x18 + 2 *
    m.x19 + 4 * m.x20 <= 400)
m.e10 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8
    + m.x9 + m.x10 + m.x11 + m.x12 + m.x13 + m.x14 + m.x15 + m.x16 + m.x17 +
    m.x18 + m.x19 + m.x20 <= 200)
