# NLP written by GAMS Convert at 02/17/22 17:19:10
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        45       45        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        78       78        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       325      111      214
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x2 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x3 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x4 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x5 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x6 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x7 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x8 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x9 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x10 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x11 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x12 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x13 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x14 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x15 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x16 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x17 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x18 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x19 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x20 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x21 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x22 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x23 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x24 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x25 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x26 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x27 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x28 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x29 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x30 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x31 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x32 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x33 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x34 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x35 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x36 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x37 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x38 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x39 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x40 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x41 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x42 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x43 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x44 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x45 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x46 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x47 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x48 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x49 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x50 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x51 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x52 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x53 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x54 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x55 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x56 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x57 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x58 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x59 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x60 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x61 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x62 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x63 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x64 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x65 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x66 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x67 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x68 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x69 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x70 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x71 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x72 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x73 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x74 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x75 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x76 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x77 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x78 = Var(within=Reals, bounds=(0,1e+04), initialize=0)

m.obj = Objective(sense=minimize, expr= -m.x68)

m.e1 = Constraint(expr= -m.x1 - m.x2 - m.x3 - m.x4 - m.x5 == -100)
m.e2 = Constraint(expr= -m.x1 + m.x6 - m.x36 - m.x41 - m.x46 - m.x51 - m.x56
    == 0)
m.e3 = Constraint(expr= -m.x2 + m.x7 - m.x37 - m.x42 - m.x47 - m.x52 - m.x57
    == 0)
m.e4 = Constraint(expr= -m.x3 + m.x8 - m.x38 - m.x43 - m.x48 - m.x53 - m.x58
    == 0)
m.e5 = Constraint(expr= -m.x4 + m.x9 - m.x39 - m.x44 - m.x49 - m.x54 - m.x59
    == 0)
m.e6 = Constraint(expr= -m.x5 + m.x10 - m.x40 - m.x45 - m.x50 - m.x55 - m.x60
    == 0)
m.e7 = Constraint(expr= m.x11 * m.x6 - m.x26 * m.x36 - m.x28 * m.x41 - m.x30 *
    m.x46 - m.x32 * m.x51 - m.x34 * m.x56 - 0.45 * m.x1 == 0)
m.e8 = Constraint(expr= m.x12 * m.x6 - m.x27 * m.x36 - m.x29 * m.x41 - m.x31 *
    m.x46 - m.x33 * m.x51 - m.x35 * m.x56 - 0.55 * m.x1 == 0)
m.e9 = Constraint(expr= m.x13 * m.x7 - m.x26 * m.x37 - m.x28 * m.x42 - m.x30 *
    m.x47 - m.x32 * m.x52 - m.x34 * m.x57 - 0.45 * m.x2 == 0)
m.e10 = Constraint(expr= m.x14 * m.x7 - m.x27 * m.x37 - m.x29 * m.x42 - m.x31
    * m.x47 - m.x33 * m.x52 - m.x35 * m.x57 - 0.55 * m.x2 == 0)
m.e11 = Constraint(expr= m.x15 * m.x8 - m.x26 * m.x38 - m.x28 * m.x43 - m.x30
    * m.x48 - m.x32 * m.x53 - m.x34 * m.x58 - 0.45 * m.x3 == 0)
m.e12 = Constraint(expr= m.x16 * m.x8 - m.x27 * m.x38 - m.x29 * m.x43 - m.x31
    * m.x48 - m.x33 * m.x53 - m.x35 * m.x58 - 0.55 * m.x3 == 0)
m.e13 = Constraint(expr= m.x17 * m.x9 - m.x26 * m.x39 - m.x28 * m.x44 - m.x30
    * m.x49 - m.x32 * m.x54 - m.x34 * m.x59 - 0.45 * m.x4 == 0)
m.e14 = Constraint(expr= m.x18 * m.x9 - m.x27 * m.x39 - m.x29 * m.x44 - m.x31
    * m.x49 - m.x33 * m.x54 - m.x35 * m.x59 - 0.55 * m.x4 == 0)
m.e15 = Constraint(expr= m.x19 * m.x10 - m.x26 * m.x40 - m.x28 * m.x45 - m.x30
    * m.x50 - m.x32 * m.x55 - m.x34 * m.x60 - 0.45 * m.x5 == 0)
m.e16 = Constraint(expr= m.x20 * m.x10 - m.x27 * m.x40 - m.x29 * m.x45 - m.x31
    * m.x50 - m.x33 * m.x55 - m.x35 * m.x60 - 0.55 * m.x5 == 0)
m.e17 = Constraint(expr= -m.x6 + m.x21 == 0)
m.e18 = Constraint(expr= -m.x7 + m.x22 == 0)
m.e19 = Constraint(expr= -m.x8 + m.x23 == 0)
m.e20 = Constraint(expr= -m.x9 + m.x24 == 0)
m.e21 = Constraint(expr= -m.x10 + m.x25 == 0)
m.e22 = Constraint(expr= m.x26 * m.x21 - m.x11 * m.x6 + m.x69 * m.x74 == 0)
m.e23 = Constraint(expr= m.x27 * m.x21 - m.x12 * m.x6 - m.x69 * m.x74 == 0)
m.e24 = Constraint(expr= m.x28 * m.x22 - m.x13 * m.x7 + m.x70 * m.x75 == 0)
m.e25 = Constraint(expr= m.x29 * m.x22 - m.x14 * m.x7 - m.x70 * m.x75 == 0)
m.e26 = Constraint(expr= m.x30 * m.x23 - m.x15 * m.x8 + m.x71 * m.x76 == 0)
m.e27 = Constraint(expr= m.x31 * m.x23 - m.x16 * m.x8 - m.x71 * m.x76 == 0)
m.e28 = Constraint(expr= m.x32 * m.x24 - m.x17 * m.x9 + m.x72 * m.x77 == 0)
m.e29 = Constraint(expr= m.x33 * m.x24 - m.x18 * m.x9 - m.x72 * m.x77 == 0)
m.e30 = Constraint(expr= m.x34 * m.x25 - m.x19 * m.x10 + m.x73 * m.x78 == 0)
m.e31 = Constraint(expr= m.x35 * m.x25 - m.x20 * m.x10 - m.x73 * m.x78 == 0)
m.e32 = Constraint(expr= -m.x26 * m.x27 + m.x74 == 0)
m.e33 = Constraint(expr= -m.x28 * m.x29 + m.x75 == 0)
m.e34 = Constraint(expr= -m.x30 * m.x31 + m.x76 == 0)
m.e35 = Constraint(expr= -m.x32 * m.x33 + m.x77 == 0)
m.e36 = Constraint(expr= -m.x34 * m.x35 + m.x78 == 0)
m.e37 = Constraint(expr= m.x21 - m.x36 - m.x37 - m.x38 - m.x39 - m.x40 - m.x61
    == 0)
m.e38 = Constraint(expr= m.x22 - m.x41 - m.x42 - m.x43 - m.x44 - m.x45 - m.x62
    == 0)
m.e39 = Constraint(expr= m.x23 - m.x46 - m.x47 - m.x48 - m.x49 - m.x50 - m.x63
    == 0)
m.e40 = Constraint(expr= m.x24 - m.x51 - m.x52 - m.x53 - m.x54 - m.x55 - m.x64
    == 0)
m.e41 = Constraint(expr= m.x25 - m.x56 - m.x57 - m.x58 - m.x59 - m.x60 - m.x65
    == 0)
m.e42 = Constraint(expr= -m.x61 - m.x62 - m.x63 - m.x64 - m.x65 + m.x66 == 0)
m.e43 = Constraint(expr= m.x66 * m.x67 - m.x61 * m.x26 - m.x62 * m.x28 - m.x63
    * m.x30 - m.x64 * m.x32 - m.x65 * m.x34 == 0)
m.e44 = Constraint(expr= m.x66 * m.x68 - m.x61 * m.x27 - m.x62 * m.x29 - m.x63
    * m.x31 - m.x64 * m.x33 - m.x65 * m.x35 == 0)
m.e45 = Constraint(expr= m.x69 + m.x70 + m.x71 + m.x72 + m.x73 == 100)
