# NLP written by GAMS Convert at 02/17/22 17:18:21
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        77       67       10        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        86       86        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       595      155      440
#
# 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=(0,1e+04), initialize=1)
m.x3 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x4 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x5 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x6 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x7 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x8 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x9 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x10 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x11 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x12 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x13 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x14 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x15 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x16 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x17 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x18 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x19 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x20 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x21 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x22 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x23 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x24 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x25 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x26 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x27 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x28 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x29 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x30 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x31 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x32 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x33 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x34 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x35 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x36 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x37 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x38 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x39 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x40 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x41 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x42 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x43 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x44 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x45 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x46 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x47 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x48 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x49 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x50 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x51 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x52 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x53 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x54 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x55 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x56 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x57 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x58 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x59 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x60 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x61 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x62 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x63 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x64 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x65 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x66 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x67 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x68 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x69 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x70 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x71 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x72 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x73 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x74 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x75 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x76 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x77 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x78 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x79 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x80 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x81 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x82 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x83 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x84 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x85 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x86 = Var(within=Reals, bounds=(0,1000), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x67 + m.x68 + m.x69 + m.x70 + m.x71
    + m.x72 + m.x73 + m.x74 + m.x75 + m.x76 + m.x77 + m.x78 + m.x79 + m.x80 +
    m.x81 + m.x82 + m.x83 + m.x84 + m.x85 + m.x86)

m.e1 = Constraint(expr= -m.x12 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) + 0.2 *
    m.x2 == 0)
m.e2 = Constraint(expr= -m.x13 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.32003200320032 * m.x3 == 0)
m.e3 = Constraint(expr= -m.x14 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.0399839983998399 * m.x3 == 0)
m.e4 = Constraint(expr= -m.x15 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.3840672124824 * m.x4 == 0)
m.e5 = Constraint(expr= -m.x16 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.0959807923180794 * m.x4 == 0)
m.e6 = Constraint(expr= -m.x17 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) +
    0.00799040096048009 * m.x4 == 0)
m.e7 = Constraint(expr= -m.x18 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.409692183046145 * m.x5 == 0)
m.e8 = Constraint(expr= -m.x19 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.153596150395582 * m.x5 == 0)
m.e9 = Constraint(expr= -m.x20 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.0255769561603844
    * m.x5 == 0)
m.e10 = Constraint(expr= -m.x21 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.001596161920384 * m.x5 == 0)
m.e11 = Constraint(expr= -m.x22 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.409702429449282 * m.x6 == 0)
m.e12 = Constraint(expr= -m.x23 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.204825598716796 * m.x6 == 0)
m.e13 = Constraint(expr= -m.x24 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.0511679852758392
    * m.x6 == 0)
m.e14 = Constraint(expr= -m.x25 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.00638720256256101 * m.x6 == 0)
m.e15 = Constraint(expr= -m.x26 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.000318721407871794 * m.x6 == 0)
m.e16 = Constraint(expr= -m.x27 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.393314332271309 * m.x7 == 0)
m.e17 = Constraint(expr= -m.x28 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.245821457669569 * m.x7 == 0)
m.e18 = Constraint(expr= -m.x29 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.0818892538741687
    * m.x7 == 0)
m.e19 = Constraint(expr= -m.x30 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.0153350375081317 * m.x7 == 0)
m.e20 = Constraint(expr= -m.x31 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.00153062807182051 * m.x7 == 0)
m.e21 = Constraint(expr= -m.x32 * (6.36167292350403e-05 * m.x7 +
    0.00035646756425478 * m.x8 + 0.00114135256538535 * m.x9 +
    0.00274075394854443 * m.x10 + 0.00548438828108048 * m.x11) +
    6.36167292350403e-05 * m.x7 == 0)
m.e22 = Constraint(expr= -m.x33 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.367084193942431 * m.x8 == 0)
m.e23 = Constraint(expr= -m.x34 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.275347581122294 * m.x8 == 0)
m.e24 = Constraint(expr= -m.x35 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.114670766025168
    * m.x8 == 0)
m.e25 = Constraint(expr= -m.x36 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.0286354282546281 * m.x8 == 0)
m.e26 = Constraint(expr= -m.x37 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.00428779555860749 * m.x8 == 0)
m.e27 = Constraint(expr= -m.x38 * (6.36167292350403e-05 * m.x7 +
    0.00035646756425478 * m.x8 + 0.00114135256538535 * m.x9 +
    0.00274075394854443 * m.x10 + 0.00548438828108048 * m.x11) +
    0.00035646756425478 * m.x8 == 0)
m.e28 = Constraint(expr= -m.x39 * (1.26927914843577e-05 * m.x8 +
    8.12907690382152e-05 * m.x9 + 0.000292844463262116 * m.x10 +
    0.000781426623017516 * m.x11) + 1.26927914843577e-05 * m.x8 == 0)
m.e29 = Constraint(expr= -m.x40 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.335603041715 * m.x9 == 0)
m.e30 = Constraint(expr= -m.x41 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.2937261297672 * m.x9 == 0)
m.e31 = Constraint(expr= -m.x42 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.146807956791712
    * m.x9 == 0)
m.e32 = Constraint(expr= -m.x43 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.0458315860606947 * m.x9 == 0)
m.e33 = Constraint(expr= -m.x44 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.00915141635884911 * m.x9 == 0)
m.e34 = Constraint(expr= -m.x45 * (6.36167292350403e-05 * m.x7 +
    0.00035646756425478 * m.x8 + 0.00114135256538535 * m.x9 +
    0.00274075394854443 * m.x10 + 0.00548438828108048 * m.x11) +
    0.00114135256538535 * m.x9 == 0)
m.e35 = Constraint(expr= -m.x46 * (1.26927914843577e-05 * m.x8 +
    8.12907690382152e-05 * m.x9 + 0.000292844463262116 * m.x10 +
    0.000781426623017516 * m.x11) + 8.12907690382152e-05 * m.x9 == 0)
m.e36 = Constraint(expr= -m.x47 * (2.53144535458066e-06 * m.x9 +
    1.82409993524627e-05 * m.x10 + 7.30205954460765e-05 * m.x11) +
    2.53144535458066e-06 * m.x9 == 0)
m.e37 = Constraint(expr= -m.x48 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.302020066201112 * m.x10 == 0)
m.e38 = Constraint(expr= -m.x49 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.302133422913057 * m.x10 == 0)
m.e39 = Constraint(expr= -m.x50 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.176200402504464
    * m.x10 == 0)
m.e40 = Constraint(expr= -m.x51 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.0660172990246554 * m.x10 == 0)
m.e41 = Constraint(expr= -m.x52 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.0164795558845939 * m.x10 == 0)
m.e42 = Constraint(expr= -m.x53 * (6.36167292350403e-05 * m.x7 +
    0.00035646756425478 * m.x8 + 0.00114135256538535 * m.x9 +
    0.00274075394854443 * m.x10 + 0.00548438828108048 * m.x11) +
    0.00274075394854443 * m.x10 == 0)
m.e43 = Constraint(expr= -m.x54 * (1.26927914843577e-05 * m.x8 +
    8.12907690382152e-05 * m.x9 + 0.000292844463262116 * m.x10 +
    0.000781426623017516 * m.x11) + 0.000292844463262116 * m.x10 == 0)
m.e44 = Constraint(expr= -m.x55 * (2.53144535458066e-06 * m.x9 +
    1.82409993524627e-05 * m.x10 + 7.30205954460765e-05 * m.x11) +
    1.82409993524627e-05 * m.x10 == 0)
m.e45 = Constraint(expr= -m.x56 * (5.04667648751466e-07 * m.x10 +
    4.04097807027501e-06 * m.x11) + 5.04667648751466e-07 * m.x10 == 0)
m.e46 = Constraint(expr= -m.x57 * (0.2 * m.x2 + 0.32003200320032 * m.x3 +
    0.3840672124824 * m.x4 + 0.409692183046145 * m.x5 + 0.409702429449282 *
    m.x6 + 0.393314332271309 * m.x7 + 0.367084193942431 * m.x8 + 0.335603041715
    * m.x9 + 0.302020066201112 * m.x10 + 0.268435410656179 * m.x11) +
    0.268435410656179 * m.x11 == 0)
m.e47 = Constraint(expr= -m.x58 * (0.0399839983998399 * m.x3 +
    0.0959807923180794 * m.x4 + 0.153596150395582 * m.x5 + 0.204825598716796 *
    m.x6 + 0.245821457669569 * m.x7 + 0.275347581122294 * m.x8 +
    0.2937261297672 * m.x9 + 0.302133422913057 * m.x10 + 0.302140983052761 *
    m.x11) + 0.302140983052761 * m.x11 == 0)
m.e48 = Constraint(expr= -m.x59 * (0.00799040096048009 * m.x4 +
    0.0255769561603844 * m.x5 + 0.0511679852758392 * m.x6 + 0.0818892538741687
    * m.x7 + 0.114670766025168 * m.x8 + 0.146807956791712 * m.x9 +
    0.176200402504464 * m.x10 + 0.201402121569511 * m.x11) + 0.201402121569511
    * m.x11 == 0)
m.e49 = Constraint(expr= -m.x60 * (0.001596161920384 * m.x5 +
    0.00638720256256101 * m.x6 + 0.0153350375081317 * m.x7 + 0.0286354282546281
    * m.x8 + 0.0458315860606947 * m.x9 + 0.0660172990246554 * m.x10 +
    0.0880472935145168 * m.x11) + 0.0880472935145168 * m.x11 == 0)
m.e50 = Constraint(expr= -m.x61 * (0.000318721407871794 * m.x6 +
    0.00153062807182051 * m.x7 + 0.00428779555860749 * m.x8 +
    0.00915141635884911 * m.x9 + 0.0164795558845939 * m.x10 +
    0.0263778458318911 * m.x11) + 0.0263778458318911 * m.x11 == 0)
m.e51 = Constraint(expr= -m.x62 * (6.36167292350403e-05 * m.x7 +
    0.00035646756425478 * m.x8 + 0.00114135256538535 * m.x9 +
    0.00274075394854443 * m.x10 + 0.00548438828108048 * m.x11) +
    0.00548438828108048 * m.x11 == 0)
m.e52 = Constraint(expr= -m.x63 * (1.26927914843577e-05 * m.x8 +
    8.12907690382152e-05 * m.x9 + 0.000292844463262116 * m.x10 +
    0.000781426623017516 * m.x11) + 0.000781426623017516 * m.x11 == 0)
m.e53 = Constraint(expr= -m.x64 * (2.53144535458066e-06 * m.x9 +
    1.82409993524627e-05 * m.x10 + 7.30205954460765e-05 * m.x11) +
    7.30205954460765e-05 * m.x11 == 0)
m.e54 = Constraint(expr= -m.x65 * (5.04667648751466e-07 * m.x10 +
    4.04097807027501e-06 * m.x11) + 4.04097807027501e-06 * m.x11 == 0)
m.e55 = Constraint(expr= -1.0056984172397e-07 * m.x66 * m.x11 +
    1.0056984172397e-07 * m.x11 == 0)
m.e56 = Constraint(expr= 0.200000000000001 * m.x2 - 436 * m.x12 - m.x67 + m.x77
    == 0)
m.e57 = Constraint(expr= 0.36001600160016 * m.x3 - 436 * m.x13 - 288 * m.x14 -
    m.x68 + m.x78 == 0)
m.e58 = Constraint(expr= 0.488038405760964 * m.x4 - 436 * m.x15 - 288 * m.x16
    - 185 * m.x17 - m.x69 + m.x79 == 0)
m.e59 = Constraint(expr= 0.590461451522498 * m.x5 - 436 * m.x18 - 288 * m.x19
    - 185 * m.x20 - 75 * m.x21 - m.x70 + m.x80 == 0)
m.e60 = Constraint(expr= 0.672401937412355 * m.x6 - 436 * m.x22 - 288 * m.x23
    - 185 * m.x24 - 75 * m.x25 - 19 * m.x26 - m.x71 + m.x81 == 0)
m.e61 = Constraint(expr= 0.737954326124241 * m.x7 - 436 * m.x27 - 288 * m.x28
    - 185 * m.x29 - 75 * m.x30 - 19 * m.x31 - 4 * m.x32 - m.x72 + m.x82 == 0)
m.e62 = Constraint(expr= 0.790394925258872 * m.x8 - 436 * m.x33 - 288 * m.x34
    - 185 * m.x35 - 75 * m.x36 - 19 * m.x37 - 4 * m.x38 - 2 * m.x39 - m.x73 +
    m.x83 == 0)
m.e63 = Constraint(expr= 0.832345305473249 * m.x9 - 436 * m.x40 - 288 * m.x41
    - 185 * m.x42 - 75 * m.x43 - 19 * m.x44 - 4 * m.x45 - 2 * m.x46 - m.x74 +
    m.x84 == 0)
m.e64 = Constraint(expr= 0.865903090606706 * m.x10 - 436 * m.x48 - 288 * m.x49
    - 185 * m.x50 - 75 * m.x51 - 19 * m.x52 - 4 * m.x53 - 2 * m.x54 - m.x75 +
    m.x85 == 0)
m.e65 = Constraint(expr= 0.892746631672324 * m.x11 - 436 * m.x57 - 288 * m.x58
    - 185 * m.x59 - 75 * m.x60 - 19 * m.x61 - 4 * m.x62 - 2 * m.x63 - m.x76 +
    m.x86 == 0)
m.e66 = Constraint(expr= m.x2 + 2 * m.x3 + 3 * m.x4 + 4 * m.x5 + 5 * m.x6 + 6 *
    m.x7 + 7 * m.x8 + 8 * m.x9 + 9 * m.x10 + 10 * m.x11 == 1e+04)
m.e67 = Constraint(expr= m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9
    + m.x10 + m.x11 >= 436)
m.e68 = Constraint(expr= m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10
    + m.x11 >= 288)
m.e69 = Constraint(expr= m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 +
    m.x11 >= 185)
m.e70 = Constraint(expr= m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11
    >= 75)
m.e71 = Constraint(expr= m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 19)
m.e72 = Constraint(expr= m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 4)
m.e73 = Constraint(expr= m.x8 + m.x9 + m.x10 + m.x11 >= 2)
m.e74 = Constraint(expr= m.x9 + m.x10 + m.x11 >= 0)
m.e75 = Constraint(expr= m.x10 + m.x11 >= 0)
m.e76 = Constraint(expr= m.x11 >= 0)
m.e77 = Constraint(expr= -m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8
    + m.x9 + m.x10 + m.x11 == 0)