# NLP written by GAMS Convert at 02/17/22 17:18:24
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        41       41        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        62       62        0        0        0        0        0        0
# FX      2
#
# Nonzero counts
#     Total    const       NL
#       122      101       21
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(1,None), initialize=2.65787165646338)
m.x2 = Var(within=Reals, bounds=(1,None), initialize=2.82088780167558)
m.x3 = Var(within=Reals, bounds=(1,None), initialize=2.99388978021114)
m.x4 = Var(within=Reals, bounds=(1,None), initialize=3.17748858499683)
m.x5 = Var(within=Reals, bounds=(1,None), initialize=3.37233255315755)
m.x6 = Var(within=Reals, bounds=(1,None), initialize=3.57910964624529)
m.x7 = Var(within=Reals, bounds=(1,None), initialize=3.79854986956959)
m.x8 = Var(within=Reals, bounds=(1,None), initialize=4.03142783910829)
m.x9 = Var(within=Reals, bounds=(1,None), initialize=4.27856550499249)
m.x10 = Var(within=Reals, bounds=(1,None), initialize=4.54083504110911)
m.x11 = Var(within=Reals, bounds=(1,None), initialize=4.81916191094403)
m.x12 = Var(within=Reals, bounds=(1,None), initialize=5.11452812040594)
m.x13 = Var(within=Reals, bounds=(1,None), initialize=5.42797566902516)
m.x14 = Var(within=Reals, bounds=(1,None), initialize=5.76061021161472)
m.x15 = Var(within=Reals, bounds=(1,None), initialize=6.11360494321835)
m.x16 = Var(within=Reals, bounds=(1,None), initialize=6.48820472094886)
m.x17 = Var(within=Reals, bounds=(1,None), initialize=6.88573043715017)
m.x18 = Var(within=Reals, bounds=(1,None), initialize=7.30758365919495)
m.x19 = Var(within=Reals, bounds=(1,None), initialize=7.75525155216026)
m.x20 = Var(within=Reals, bounds=(1,None), initialize=8.23031210161431)
m.x21 = Var(within=Reals, bounds=(4.275,4.275), initialize=4.275)
m.x22 = Var(within=Reals, bounds=(1,None), initialize=4.5315)
m.x23 = Var(within=Reals, bounds=(1,None), initialize=4.80339)
m.x24 = Var(within=Reals, bounds=(1,None), initialize=5.0915934)
m.x25 = Var(within=Reals, bounds=(1,None), initialize=5.397089004)
m.x26 = Var(within=Reals, bounds=(1,None), initialize=5.72091434424)
m.x27 = Var(within=Reals, bounds=(1,None), initialize=6.0641692048944)
m.x28 = Var(within=Reals, bounds=(1,None), initialize=6.42801935718807)
m.x29 = Var(within=Reals, bounds=(1,None), initialize=6.81370051861935)
m.x30 = Var(within=Reals, bounds=(1,None), initialize=7.22252254973651)
m.x31 = Var(within=Reals, bounds=(1,None), initialize=7.6558739027207)
m.x32 = Var(within=Reals, bounds=(1,None), initialize=8.11522633688395)
m.x33 = Var(within=Reals, bounds=(1,None), initialize=8.60213991709698)
m.x34 = Var(within=Reals, bounds=(1,None), initialize=9.1182683121228)
m.x35 = Var(within=Reals, bounds=(1,None), initialize=9.66536441085017)
m.x36 = Var(within=Reals, bounds=(1,None), initialize=10.2452862755012)
m.x37 = Var(within=Reals, bounds=(1,None), initialize=10.8600034520313)
m.x38 = Var(within=Reals, bounds=(1,None), initialize=11.5116036591531)
m.x39 = Var(within=Reals, bounds=(1,None), initialize=12.2022998787023)
m.x40 = Var(within=Reals, bounds=(1,None), initialize=12.9344378714245)
m.x41 = Var(within=Reals, bounds=(13.7105041437099,13.7105041437099)
    , initialize=13.7105041437099)
m.x42 = Var(within=Reals, bounds=(1,None), initialize=15)
m.x43 = Var(within=Reals, bounds=(1,None), initialize=15.8671283435366)
m.x44 = Var(within=Reals, bounds=(1,None), initialize=16.7843841246842)
m.x45 = Var(within=Reals, bounds=(1,None), initialize=17.7546651382389)
m.x46 = Var(within=Reals, bounds=(1,None), initialize=18.7810366963301)
m.x47 = Var(within=Reals, bounds=(1,None), initialize=19.866741312356)
m.x48 = Var(within=Reals, bounds=(1,None), initialize=21.0152089447329)
m.x49 = Var(within=Reals, bounds=(1,None), initialize=22.2300678328211)
m.x50 = Var(within=Reals, bounds=(1,None), initialize=23.5151559592598)
m.x51 = Var(within=Reals, bounds=(1,None), initialize=24.8745331749237)
m.x52 = Var(within=Reals, bounds=(1,None), initialize=26.3124940248049)
m.x53 = Var(within=Reals, bounds=(1,None), initialize=27.8335813153413)
m.x54 = Var(within=Reals, bounds=(1,None), initialize=29.4426004660523)
m.x55 = Var(within=Reals, bounds=(1,None), initialize=31.1446346908215)
m.x56 = Var(within=Reals, bounds=(1,None), initialize=32.9450610567885)
m.x57 = Var(within=Reals, bounds=(1,None), initialize=34.8495674715809)
m.x58 = Var(within=Reals, bounds=(1,None), initialize=36.8641706525542)
m.x59 = Var(within=Reals, bounds=(1,None), initialize=38.9952351348075)
m.x60 = Var(within=Reals, bounds=(1,None), initialize=41.2494933780253)
m.x61 = Var(within=Reals, bounds=(1,None), initialize=43.6340670356661)
m.x62 = Var(within=Reals, bounds=(1,None), initialize=46.156489453693)

m.obj = Objective(sense=minimize, expr= -10 * m.x1**0.1 - 9.70873786407767 *
    m.x2**0.1 - 9.42595909133755 * m.x3**0.1 - 9.1514165935316 * m.x4**0.1 -
    8.88487047915689 * m.x5**0.1 - 8.62608784384164 * m.x6**0.1 -
    8.37484256683654 * m.x7**0.1 - 8.13091511343354 * m.x8**0.1 -
    7.89409234313936 * m.x9**0.1 - 7.66416732343627 * m.x10**0.1 -
    7.44093914896725 * m.x11**0.1 - 7.22421276598762 * m.x12**0.1 -
    7.01379880192973 * m.x13**0.1 - 6.80951339993178 * m.x14**0.1 -
    6.61117805818619 * m.x15**0.1 - 6.41861947396717 * m.x16**0.1 -
    6.23166939220114 * m.x17**0.1 - 6.05016445844771 * m.x18**0.1 -
    5.87394607616282 * m.x19**0.1 - 5.70286026811925 * m.x20**0.1)

m.e1 = Constraint(expr= m.x1 - m.x21 - 0.95 * m.x42 + m.x43 == 0)
m.e2 = Constraint(expr= m.x2 - m.x22 - 0.95 * m.x43 + m.x44 == 0)
m.e3 = Constraint(expr= m.x3 - m.x23 - 0.95 * m.x44 + m.x45 == 0)
m.e4 = Constraint(expr= m.x4 - m.x24 - 0.95 * m.x45 + m.x46 == 0)
m.e5 = Constraint(expr= m.x5 - m.x25 - 0.95 * m.x46 + m.x47 == 0)
m.e6 = Constraint(expr= m.x6 - m.x26 - 0.95 * m.x47 + m.x48 == 0)
m.e7 = Constraint(expr= m.x7 - m.x27 - 0.95 * m.x48 + m.x49 == 0)
m.e8 = Constraint(expr= m.x8 - m.x28 - 0.95 * m.x49 + m.x50 == 0)
m.e9 = Constraint(expr= m.x9 - m.x29 - 0.95 * m.x50 + m.x51 == 0)
m.e10 = Constraint(expr= m.x10 - m.x30 - 0.95 * m.x51 + m.x52 == 0)
m.e11 = Constraint(expr= m.x11 - m.x31 - 0.95 * m.x52 + m.x53 == 0)
m.e12 = Constraint(expr= m.x12 - m.x32 - 0.95 * m.x53 + m.x54 == 0)
m.e13 = Constraint(expr= m.x13 - m.x33 - 0.95 * m.x54 + m.x55 == 0)
m.e14 = Constraint(expr= m.x14 - m.x34 - 0.95 * m.x55 + m.x56 == 0)
m.e15 = Constraint(expr= m.x15 - m.x35 - 0.95 * m.x56 + m.x57 == 0)
m.e16 = Constraint(expr= m.x16 - m.x36 - 0.95 * m.x57 + m.x58 == 0)
m.e17 = Constraint(expr= m.x17 - m.x37 - 0.95 * m.x58 + m.x59 == 0)
m.e18 = Constraint(expr= m.x18 - m.x38 - 0.95 * m.x59 + m.x60 == 0)
m.e19 = Constraint(expr= m.x19 - m.x39 - 0.95 * m.x60 + m.x61 == 0)
m.e20 = Constraint(expr= m.x20 - m.x40 - 0.95 * m.x61 + m.x62 == 0)
m.e21 = Constraint(expr= -0.560877056310648 * m.x42**0.75 + m.x21 == 0)
m.e22 = Constraint(expr= -0.569991308475696 * m.x43**0.75 + m.x22 == 0)
m.e23 = Constraint(expr= -0.579253667238426 * m.x44**0.75 + m.x23 == 0)
m.e24 = Constraint(expr= -0.58866653933105 * m.x45**0.75 + m.x24 == 0)
m.e25 = Constraint(expr= -0.59823237059518 * m.x46**0.75 + m.x25 == 0)
m.e26 = Constraint(expr= -0.607953646617352 * m.x47**0.75 + m.x26 == 0)
m.e27 = Constraint(expr= -0.617832893374884 * m.x48**0.75 + m.x27 == 0)
m.e28 = Constraint(expr= -0.627872677892226 * m.x49**0.75 + m.x28 == 0)
m.e29 = Constraint(expr= -0.638075608907974 * m.x50**0.75 + m.x29 == 0)
m.e30 = Constraint(expr= -0.648444337552729 * m.x51**0.75 + m.x30 == 0)
m.e31 = Constraint(expr= -0.658981558037961 * m.x52**0.75 + m.x31 == 0)
m.e32 = Constraint(expr= -0.669690008356078 * m.x53**0.75 + m.x32 == 0)
m.e33 = Constraint(expr= -0.680572470991864 * m.x54**0.75 + m.x33 == 0)
m.e34 = Constraint(expr= -0.691631773645482 * m.x55**0.75 + m.x34 == 0)
m.e35 = Constraint(expr= -0.702870789967221 * m.x56**0.75 + m.x35 == 0)
m.e36 = Constraint(expr= -0.714292440304189 * m.x57**0.75 + m.x36 == 0)
m.e37 = Constraint(expr= -0.725899692459132 * m.x58**0.75 + m.x37 == 0)
m.e38 = Constraint(expr= -0.737695562461593 * m.x59**0.75 + m.x38 == 0)
m.e39 = Constraint(expr= -0.749683115351594 * m.x60**0.75 + m.x39 == 0)
m.e40 = Constraint(expr= -0.761865465976057 * m.x61**0.75 + m.x40 == 0)
m.e41 = Constraint(expr= -0.774245779798168 * m.x62**0.75 + m.x41 == 0)
