# NLP written by GAMS Convert at 02/17/22 17:23:41 # # Equation counts # Total E G L N X C B # 190 54 136 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 169 169 0 0 0 0 0 0 # FX 6 # # Nonzero counts # Total const NL # 1384 244 1140 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(1000,1000), initialize=1000) m.x2 = Var(within=Reals, bounds=(1000,1000), initialize=1000) m.x3 = Var(within=Reals, bounds=(0,2000), initialize=1100.750712) m.x4 = Var(within=Reals, bounds=(0,2000), initialize=602.275808) m.x5 = Var(within=Reals, bounds=(0,2000), initialize=584.424234) m.x6 = Var(within=Reals, bounds=(0,2000), initialize=448.105734) m.x7 = Var(within=Reals, bounds=(0,2000), initialize=699.661008) m.x8 = Var(within=Reals, bounds=(0,2000), initialize=1712.540694) m.x9 = Var(within=Reals, bounds=(0,2000), initialize=134.227446) m.x10 = Var(within=Reals, bounds=(0,2000), initialize=1000.421338) m.x11 = Var(within=Reals, bounds=(0,2000), initialize=1996.235254) m.x12 = Var(within=Reals, bounds=(0,2000), initialize=1157.466756) m.x13 = Var(within=Reals, bounds=(0,2000), initialize=1982.266078) m.x14 = Var(within=Reals, bounds=(0,2000), initialize=1524.500934) m.x15 = Var(within=Reals, bounds=(0,2000), initialize=261.384966) m.x16 = Var(within=Reals, bounds=(0,2000), initialize=1279.437518) m.x17 = Var(within=Reals, bounds=(0,2000), initialize=319.035728) m.x18 = Var(within=Reals, bounds=(0,2000), initialize=500.161066) m.x19 = Var(within=Reals, bounds=(1500,1500), initialize=1500) m.x20 = Var(within=Reals, bounds=(2000,2000), initialize=2000) m.x21 = Var(within=Reals, bounds=(0,2000), initialize=719.400532) m.x22 = Var(within=Reals, bounds=(0,2000), initialize=702.882736) m.x23 = Var(within=Reals, bounds=(0,2000), initialize=262.98318) m.x24 = Var(within=Reals, bounds=(0,2000), initialize=300.203576) m.x25 = Var(within=Reals, bounds=(0,2000), initialize=1178.2273) m.x26 = Var(within=Reals, bounds=(0,2000), initialize=1661.785624) m.x27 = Var(within=Reals, bounds=(0,2000), initialize=461.631476) m.x28 = Var(within=Reals, bounds=(0,2000), initialize=1331.46892) m.x29 = Var(within=Reals, bounds=(0,2000), initialize=1551.715212) m.x30 = Var(within=Reals, bounds=(0,2000), initialize=607.316954) m.x31 = Var(within=Reals, bounds=(0,2000), initialize=220.984582) m.x32 = Var(within=Reals, bounds=(0,2000), initialize=1004.769732) m.x33 = Var(within=Reals, bounds=(0,2000), initialize=320.345524) m.x34 = Var(within=Reals, bounds=(0,2000), initialize=1744.924622) m.x35 = Var(within=Reals, bounds=(0,2000), initialize=530.22909) m.x36 = Var(within=Reals, bounds=(0,2000), initialize=571.628644) m.x37 = Var(within=Reals, bounds=(0,2000), initialize=1187.911844) m.x38 = Var(within=Reals, bounds=(0,2000), initialize=1445.438142) m.x39 = Var(within=Reals, bounds=(2000,2000), initialize=2000) m.x40 = Var(within=Reals, bounds=(1000,1000), initialize=1000) m.x41 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x42 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x43 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x44 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x45 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x46 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x47 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x48 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x49 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x50 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x51 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x52 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x53 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x54 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x55 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x56 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x57 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x58 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x59 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x60 = Var(within=Reals, bounds=(0.1,None), initialize=100) m.x61 = Var(within=Reals, bounds=(0,None), initialize=0) m.x62 = Var(within=Reals, bounds=(0,None), initialize=0) m.x63 = Var(within=Reals, bounds=(0,None), initialize=0) m.x64 = Var(within=Reals, bounds=(0,None), initialize=0) m.x65 = Var(within=Reals, bounds=(0,None), initialize=0) m.x66 = Var(within=Reals, bounds=(0,None), initialize=0) m.x67 = Var(within=Reals, bounds=(0,None), initialize=0) m.x68 = Var(within=Reals, bounds=(0,None), initialize=0) m.x69 = Var(within=Reals, bounds=(0,None), initialize=0) m.x70 = Var(within=Reals, bounds=(0,None), initialize=0) m.x71 = Var(within=Reals, bounds=(0,None), initialize=0) m.x72 = Var(within=Reals, bounds=(0,None), initialize=0) m.x73 = Var(within=Reals, bounds=(0,None), initialize=0) m.x74 = Var(within=Reals, bounds=(0,None), initialize=0) m.x75 = Var(within=Reals, bounds=(0,None), initialize=0) m.x76 = Var(within=Reals, bounds=(0,None), initialize=0) m.x77 = Var(within=Reals, bounds=(0,None), initialize=0) m.x78 = Var(within=Reals, bounds=(0,None), initialize=0) m.x79 = Var(within=Reals, bounds=(0,None), initialize=0) m.x80 = Var(within=Reals, bounds=(0,None), initialize=0) m.x81 = Var(within=Reals, bounds=(0,None), initialize=0) m.x82 = Var(within=Reals, bounds=(0,None), initialize=0) m.x83 = Var(within=Reals, bounds=(0,None), initialize=0) m.x84 = Var(within=Reals, bounds=(0,None), initialize=0) m.x85 = Var(within=Reals, bounds=(0,None), initialize=0) m.x86 = Var(within=Reals, bounds=(0,None), initialize=0) m.x87 = Var(within=Reals, bounds=(0,None), initialize=0) m.x88 = Var(within=Reals, bounds=(0,None), initialize=0) m.x89 = Var(within=Reals, bounds=(0,None), initialize=0) m.x90 = Var(within=Reals, bounds=(0,None), initialize=0) m.x91 = Var(within=Reals, bounds=(0,None), initialize=0) m.x92 = Var(within=Reals, bounds=(0,None), initialize=0) m.x93 = Var(within=Reals, bounds=(0,None), initialize=0) m.x94 = Var(within=Reals, bounds=(0,None), initialize=0) m.x95 = Var(within=Reals, bounds=(0,None), initialize=0) m.x96 = Var(within=Reals, bounds=(0,None), initialize=0) m.x97 = Var(within=Reals, bounds=(0,None), initialize=0) m.x98 = Var(within=Reals, bounds=(0,None), initialize=0) m.x99 = Var(within=Reals, bounds=(0,None), initialize=0) m.x100 = Var(within=Reals, bounds=(0,None), initialize=0) m.x101 = Var(within=Reals, bounds=(0,None), initialize=0) m.x102 = Var(within=Reals, bounds=(0,None), initialize=0) m.x103 = Var(within=Reals, bounds=(0,None), initialize=0) m.x104 = Var(within=Reals, bounds=(0,None), initialize=0) m.x105 = Var(within=Reals, bounds=(0,None), initialize=0) m.x106 = Var(within=Reals, bounds=(0,None), initialize=0) m.x107 = Var(within=Reals, bounds=(0,None), initialize=0) m.x108 = Var(within=Reals, bounds=(0,None), initialize=0) m.x109 = Var(within=Reals, bounds=(0,None), initialize=0) m.x110 = Var(within=Reals, bounds=(0,None), initialize=0) m.x111 = Var(within=Reals, bounds=(0,None), initialize=0) m.x112 = Var(within=Reals, bounds=(0,None), initialize=0) m.x113 = Var(within=Reals, bounds=(0,None), initialize=0) m.x114 = Var(within=Reals, bounds=(0,None), initialize=0) m.x115 = Var(within=Reals, bounds=(0,None), initialize=0) m.x116 = Var(within=Reals, bounds=(0,None), initialize=0) m.x117 = Var(within=Reals, bounds=(0,None), initialize=0) m.x118 = Var(within=Reals, bounds=(0,None), initialize=0) m.x119 = Var(within=Reals, bounds=(0,None), initialize=0) m.x120 = Var(within=Reals, bounds=(0,None), initialize=0) m.x121 = Var(within=Reals, bounds=(0,None), initialize=0) m.x122 = Var(within=Reals, bounds=(0,None), initialize=0) m.x123 = Var(within=Reals, bounds=(0,None), initialize=0) m.x124 = Var(within=Reals, bounds=(0,None), initialize=0) m.x125 = Var(within=Reals, bounds=(0,None), initialize=0) m.x126 = Var(within=Reals, bounds=(0,None), initialize=0) m.x127 = Var(within=Reals, bounds=(0,None), initialize=0) m.x128 = Var(within=Reals, bounds=(0,None), initialize=0) m.x129 = Var(within=Reals, bounds=(0,None), initialize=0) m.x130 = Var(within=Reals, bounds=(0,None), initialize=0) m.x131 = Var(within=Reals, bounds=(0,None), initialize=0) m.x132 = Var(within=Reals, bounds=(0,None), initialize=0) m.x133 = Var(within=Reals, bounds=(0,None), initialize=0) m.x134 = Var(within=Reals, bounds=(0,None), initialize=0) m.x135 = Var(within=Reals, bounds=(0,None), initialize=0) m.x136 = Var(within=Reals, bounds=(0,None), initialize=0) m.x137 = Var(within=Reals, bounds=(0,None), initialize=0) m.x138 = Var(within=Reals, bounds=(0,None), initialize=0) m.x139 = Var(within=Reals, bounds=(0,None), initialize=0) m.x140 = Var(within=Reals, bounds=(0,None), initialize=0) m.x141 = Var(within=Reals, bounds=(0,None), initialize=0) m.x142 = Var(within=Reals, bounds=(0,None), initialize=0) m.x143 = Var(within=Reals, bounds=(0,None), initialize=0) m.x144 = Var(within=Reals, bounds=(0,None), initialize=0) m.x145 = Var(within=Reals, bounds=(0,None), initialize=0) m.x146 = Var(within=Reals, bounds=(0,None), initialize=0) m.x147 = Var(within=Reals, bounds=(0,None), initialize=0) m.x148 = Var(within=Reals, bounds=(0,None), initialize=0) m.x149 = Var(within=Reals, bounds=(0,None), initialize=0) m.x150 = Var(within=Reals, bounds=(0,None), initialize=0) m.x151 = Var(within=Reals, bounds=(0,None), initialize=0) m.x152 = Var(within=Reals, bounds=(0,None), initialize=0) m.x153 = Var(within=Reals, bounds=(0,None), initialize=0) m.x154 = Var(within=Reals, bounds=(0,None), initialize=0) m.x155 = Var(within=Reals, bounds=(0,None), initialize=0) m.x156 = Var(within=Reals, bounds=(0,None), initialize=0) m.x157 = Var(within=Reals, bounds=(0,None), initialize=0) m.x158 = Var(within=Reals, bounds=(0,None), initialize=0) m.x159 = Var(within=Reals, bounds=(0,None), initialize=0) m.x160 = Var(within=Reals, bounds=(0,None), initialize=0) m.x161 = Var(within=Reals, bounds=(0,None), initialize=0) m.x162 = Var(within=Reals, bounds=(0,None), initialize=0) m.x163 = Var(within=Reals, bounds=(0,None), initialize=0) m.x164 = Var(within=Reals, bounds=(0,None), initialize=0) m.x165 = Var(within=Reals, bounds=(0,None), initialize=0) m.x166 = Var(within=Reals, bounds=(0,None), initialize=0) m.x167 = Var(within=Reals, bounds=(0,None), initialize=0) m.x168 = Var(within=Reals, bounds=(0,None), initialize=0) m.x169 = Var(within=Reals, bounds=(0,None), initialize=0) m.obj = Objective(sense=minimize, expr= m.x61 + m.x62 + m.x63 + m.x64 + m.x65 + m.x66 + 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.x87 + m.x88 + m.x89 + m.x90 + m.x91 + m.x92 + m.x93 + m.x94 + m.x95 + m.x96 + m.x97 + m.x98 + m.x99 + m.x100 + m.x101 + m.x102 + m.x103 + m.x104 + m.x105 + m.x106 + m.x107 + m.x108 + m.x109 + m.x110 + m.x111 + m.x112 + m.x113 + m.x114 + m.x115 + m.x116 + m.x117 + m.x118 + m.x119 + m.x120 + m.x121 + m.x122 + m.x123 + m.x124 + m.x125 + m.x126 + m.x127 + m.x128 + m.x129 + m.x130 + m.x131 + m.x132 + m.x133 + m.x134 + m.x135 + m.x136 + m.x137 + m.x138 + m.x139 + m.x140 + m.x141 + m.x142 + m.x143 + m.x144 + m.x145 + m.x146 + m.x147 + m.x148 + m.x149 + m.x150 + m.x151 + m.x152 + m.x153 + m.x154 + m.x155 + m.x156 + m.x157 + m.x158 + m.x159 + m.x160 + m.x161 + m.x162 + m.x163 + m.x164 + m.x165 + m.x166 + m.x167 + m.x168 + 100 * m.x169) m.e1 = Constraint(expr= (m.x1 - m.x3)**2 + (m.x2 - m.x4)**2 - (m.x41 + m.x42)** 2 - m.x61 + m.x115 == 0) m.e2 = Constraint(expr= (m.x1 - m.x5)**2 + (m.x2 - m.x6)**2 - (m.x41 + m.x43)** 2 - m.x62 + m.x116 == 0) m.e3 = Constraint(expr= (m.x1 - m.x7)**2 + (m.x2 - m.x8)**2 - (m.x41 + m.x44)** 2 - m.x63 + m.x117 == 0) m.e4 = Constraint(expr= (m.x1 - m.x11)**2 + (m.x2 - m.x12)**2 - (m.x41 + m.x46) **2 - m.x64 + m.x118 == 0) m.e5 = Constraint(expr= (m.x1 - m.x13)**2 + (m.x2 - m.x14)**2 - (m.x41 + m.x47) **2 - m.x65 + m.x119 == 0) m.e6 = Constraint(expr= (m.x1 - m.x15)**2 + (m.x2 - m.x16)**2 - (m.x41 + m.x48) **2 - m.x66 + m.x120 == 0) m.e7 = Constraint(expr= (m.x1 - m.x19)**2 + (m.x2 - m.x20)**2 - (m.x41 + m.x50) **2 - m.x67 + m.x121 == 0) m.e8 = Constraint(expr= (m.x1 - m.x23)**2 + (m.x2 - m.x24)**2 - (m.x41 + m.x52) **2 - m.x68 + m.x122 == 0) m.e9 = Constraint(expr= (m.x1 - m.x39)**2 + (m.x2 - m.x40)**2 - (m.x41 + m.x60) **2 - m.x69 + m.x123 == 0) m.e10 = Constraint(expr= (m.x3 - m.x5)**2 + (m.x4 - m.x6)**2 - (m.x42 + m.x43) **2 - m.x70 + m.x124 == 0) m.e11 = Constraint(expr= (m.x3 - m.x7)**2 + (m.x4 - m.x8)**2 - (m.x42 + m.x44) **2 - m.x71 + m.x125 == 0) m.e12 = Constraint(expr= (m.x5 - m.x7)**2 + (m.x6 - m.x8)**2 - (m.x43 + m.x44) **2 - m.x72 + m.x126 == 0) m.e13 = Constraint(expr= (m.x5 - m.x9)**2 + (m.x6 - m.x10)**2 - (m.x43 + m.x45) **2 - m.x73 + m.x127 == 0) m.e14 = Constraint(expr= (m.x5 - m.x15)**2 + (m.x6 - m.x16)**2 - (m.x43 + m.x48) **2 - m.x74 + m.x128 == 0) m.e15 = Constraint(expr= (m.x7 - m.x9)**2 + (m.x8 - m.x10)**2 - (m.x44 + m.x45) **2 - m.x75 + m.x129 == 0) m.e16 = Constraint(expr= (m.x7 - m.x11)**2 + (m.x8 - m.x12)**2 - (m.x44 + m.x46) **2 - m.x76 + m.x130 == 0) m.e17 = Constraint(expr= (m.x9 - m.x11)**2 + (m.x10 - m.x12)**2 - (m.x45 + m.x46)**2 - m.x77 + m.x131 == 0) m.e18 = Constraint(expr= (m.x9 - m.x13)**2 + (m.x10 - m.x14)**2 - (m.x45 + m.x47)**2 - m.x78 + m.x132 == 0) m.e19 = Constraint(expr= (m.x9 - m.x15)**2 + (m.x10 - m.x16)**2 - (m.x45 + m.x48)**2 - m.x79 + m.x133 == 0) m.e20 = Constraint(expr= (m.x11 - m.x13)**2 + (m.x12 - m.x14)**2 - (m.x46 + m.x47)**2 - m.x80 + m.x134 == 0) m.e21 = Constraint(expr= (m.x13 - m.x15)**2 + (m.x14 - m.x16)**2 - (m.x47 + m.x48)**2 - m.x81 + m.x135 == 0) m.e22 = Constraint(expr= (m.x13 - m.x17)**2 + (m.x14 - m.x18)**2 - (m.x47 + m.x49)**2 - m.x82 + m.x136 == 0) m.e23 = Constraint(expr= (m.x13 - m.x21)**2 + (m.x14 - m.x22)**2 - (m.x47 + m.x51)**2 - m.x83 + m.x137 == 0) m.e24 = Constraint(expr= (m.x13 - m.x23)**2 + (m.x14 - m.x24)**2 - (m.x47 + m.x52)**2 - m.x84 + m.x138 == 0) m.e25 = Constraint(expr= (m.x15 - m.x17)**2 + (m.x16 - m.x18)**2 - (m.x48 + m.x49)**2 - m.x85 + m.x139 == 0) m.e26 = Constraint(expr= (m.x15 - m.x19)**2 + (m.x16 - m.x20)**2 - (m.x48 + m.x50)**2 - m.x86 + m.x140 == 0) m.e27 = Constraint(expr= (m.x17 - m.x19)**2 + (m.x18 - m.x20)**2 - (m.x49 + m.x50)**2 - m.x87 + m.x141 == 0) m.e28 = Constraint(expr= (m.x17 - m.x21)**2 + (m.x18 - m.x22)**2 - (m.x49 + m.x51)**2 - m.x88 + m.x142 == 0) m.e29 = Constraint(expr= (m.x19 - m.x21)**2 + (m.x20 - m.x22)**2 - (m.x50 + m.x51)**2 - m.x89 + m.x143 == 0) m.e30 = Constraint(expr= (m.x19 - m.x23)**2 + (m.x20 - m.x24)**2 - (m.x50 + m.x52)**2 - m.x90 + m.x144 == 0) m.e31 = Constraint(expr= (m.x19 - m.x25)**2 + (m.x20 - m.x26)**2 - (m.x50 + m.x53)**2 - m.x91 + m.x145 == 0) m.e32 = Constraint(expr= (m.x19 - m.x27)**2 + (m.x20 - m.x28)**2 - (m.x50 + m.x54)**2 - m.x92 + m.x146 == 0) m.e33 = Constraint(expr= (m.x19 - m.x29)**2 + (m.x20 - m.x30)**2 - (m.x50 + m.x55)**2 - m.x93 + m.x147 == 0) m.e34 = Constraint(expr= (m.x19 - m.x31)**2 + (m.x20 - m.x32)**2 - (m.x50 + m.x56)**2 - m.x94 + m.x148 == 0) m.e35 = Constraint(expr= (m.x19 - m.x37)**2 + (m.x20 - m.x38)**2 - (m.x50 + m.x59)**2 - m.x95 + m.x149 == 0) m.e36 = Constraint(expr= (m.x19 - m.x39)**2 + (m.x20 - m.x40)**2 - (m.x50 + m.x60)**2 - m.x96 + m.x150 == 0) m.e37 = Constraint(expr= (m.x21 - m.x23)**2 + (m.x22 - m.x24)**2 - (m.x51 + m.x52)**2 - m.x97 + m.x151 == 0) m.e38 = Constraint(expr= (m.x23 - m.x25)**2 + (m.x24 - m.x26)**2 - (m.x52 + m.x53)**2 - m.x98 + m.x152 == 0) m.e39 = Constraint(expr= (m.x23 - m.x27)**2 + (m.x24 - m.x28)**2 - (m.x52 + m.x54)**2 - m.x99 + m.x153 == 0) m.e40 = Constraint(expr= (m.x23 - m.x29)**2 + (m.x24 - m.x30)**2 - (m.x52 + m.x55)**2 - m.x100 + m.x154 == 0) m.e41 = Constraint(expr= (m.x23 - m.x33)**2 + (m.x24 - m.x34)**2 - (m.x52 + m.x57)**2 - m.x101 + m.x155 == 0) m.e42 = Constraint(expr= (m.x23 - m.x35)**2 + (m.x24 - m.x36)**2 - (m.x52 + m.x58)**2 - m.x102 + m.x156 == 0) m.e43 = Constraint(expr= (m.x23 - m.x39)**2 + (m.x24 - m.x40)**2 - (m.x52 + m.x60)**2 - m.x103 + m.x157 == 0) m.e44 = Constraint(expr= (m.x25 - m.x27)**2 + (m.x26 - m.x28)**2 - (m.x53 + m.x54)**2 - m.x104 + m.x158 == 0) m.e45 = Constraint(expr= (m.x27 - m.x29)**2 + (m.x28 - m.x30)**2 - (m.x54 + m.x55)**2 - m.x105 + m.x159 == 0) m.e46 = Constraint(expr= (m.x29 - m.x31)**2 + (m.x30 - m.x32)**2 - (m.x55 + m.x56)**2 - m.x106 + m.x160 == 0) m.e47 = Constraint(expr= (m.x29 - m.x33)**2 + (m.x30 - m.x34)**2 - (m.x55 + m.x57)**2 - m.x107 + m.x161 == 0) m.e48 = Constraint(expr= (m.x31 - m.x33)**2 + (m.x32 - m.x34)**2 - (m.x56 + m.x57)**2 - m.x108 + m.x162 == 0) m.e49 = Constraint(expr= (m.x31 - m.x35)**2 + (m.x32 - m.x36)**2 - (m.x56 + m.x58)**2 - m.x109 + m.x163 == 0) m.e50 = Constraint(expr= (m.x31 - m.x37)**2 + (m.x32 - m.x38)**2 - (m.x56 + m.x59)**2 - m.x110 + m.x164 == 0) m.e51 = Constraint(expr= (m.x33 - m.x35)**2 + (m.x34 - m.x36)**2 - (m.x57 + m.x58)**2 - m.x111 + m.x165 == 0) m.e52 = Constraint(expr= (m.x35 - m.x37)**2 + (m.x36 - m.x38)**2 - (m.x58 + m.x59)**2 - m.x112 + m.x166 == 0) m.e53 = Constraint(expr= (m.x35 - m.x39)**2 + (m.x36 - m.x40)**2 - (m.x58 + m.x60)**2 - m.x113 + m.x167 == 0) m.e54 = Constraint(expr= (m.x37 - m.x39)**2 + (m.x38 - m.x40)**2 - (m.x59 + m.x60)**2 - m.x114 + m.x168 == 0) m.e55 = Constraint(expr= (m.x1 - m.x9)**2 + (m.x2 - m.x10)**2 - (m.x41 + m.x45) **2 + m.x169 >= 0) m.e56 = Constraint(expr= (m.x1 - m.x17)**2 + (m.x2 - m.x18)**2 - (m.x41 + m.x49) **2 + m.x169 >= 0) m.e57 = Constraint(expr= (m.x1 - m.x21)**2 + (m.x2 - m.x22)**2 - (m.x41 + m.x51) **2 + m.x169 >= 0) m.e58 = Constraint(expr= (m.x1 - m.x25)**2 + (m.x2 - m.x26)**2 - (m.x41 + m.x53) **2 + m.x169 >= 0) m.e59 = Constraint(expr= (m.x1 - m.x27)**2 + (m.x2 - m.x28)**2 - (m.x41 + m.x54) **2 + m.x169 >= 0) m.e60 = Constraint(expr= (m.x1 - m.x29)**2 + (m.x2 - m.x30)**2 - (m.x41 + m.x55) **2 + m.x169 >= 0) m.e61 = Constraint(expr= (m.x1 - m.x31)**2 + (m.x2 - m.x32)**2 - (m.x41 + m.x56) **2 + m.x169 >= 0) m.e62 = Constraint(expr= (m.x1 - m.x33)**2 + (m.x2 - m.x34)**2 - (m.x41 + m.x57) **2 + m.x169 >= 0) m.e63 = Constraint(expr= (m.x1 - m.x35)**2 + (m.x2 - m.x36)**2 - (m.x41 + m.x58) **2 + m.x169 >= 0) m.e64 = Constraint(expr= (m.x1 - m.x37)**2 + (m.x2 - m.x38)**2 - (m.x41 + m.x59) **2 + m.x169 >= 0) m.e65 = Constraint(expr= (m.x3 - m.x9)**2 + (m.x4 - m.x10)**2 - (m.x42 + m.x45) **2 + m.x169 >= 0) m.e66 = Constraint(expr= (m.x3 - m.x11)**2 + (m.x4 - m.x12)**2 - (m.x42 + m.x46) **2 + m.x169 >= 0) m.e67 = Constraint(expr= (m.x3 - m.x13)**2 + (m.x4 - m.x14)**2 - (m.x42 + m.x47) **2 + m.x169 >= 0) m.e68 = Constraint(expr= (m.x3 - m.x15)**2 + (m.x4 - m.x16)**2 - (m.x42 + m.x48) **2 + m.x169 >= 0) m.e69 = Constraint(expr= (m.x3 - m.x17)**2 + (m.x4 - m.x18)**2 - (m.x42 + m.x49) **2 + m.x169 >= 0) m.e70 = Constraint(expr= (m.x3 - m.x19)**2 + (m.x4 - m.x20)**2 - (m.x42 + m.x50) **2 + m.x169 >= 0) m.e71 = Constraint(expr= (m.x3 - m.x21)**2 + (m.x4 - m.x22)**2 - (m.x42 + m.x51) **2 + m.x169 >= 0) m.e72 = Constraint(expr= (m.x3 - m.x23)**2 + (m.x4 - m.x24)**2 - (m.x42 + m.x52) **2 + m.x169 >= 0) m.e73 = Constraint(expr= (m.x3 - m.x25)**2 + (m.x4 - m.x26)**2 - (m.x42 + m.x53) **2 + m.x169 >= 0) m.e74 = Constraint(expr= (m.x3 - m.x27)**2 + (m.x4 - m.x28)**2 - (m.x42 + m.x54) **2 + m.x169 >= 0) m.e75 = Constraint(expr= (m.x3 - m.x29)**2 + (m.x4 - m.x30)**2 - (m.x42 + m.x55) **2 + m.x169 >= 0) m.e76 = Constraint(expr= (m.x3 - m.x31)**2 + (m.x4 - m.x32)**2 - (m.x42 + m.x56) **2 + m.x169 >= 0) m.e77 = Constraint(expr= (m.x3 - m.x33)**2 + (m.x4 - m.x34)**2 - (m.x42 + m.x57) **2 + m.x169 >= 0) m.e78 = Constraint(expr= (m.x3 - m.x35)**2 + (m.x4 - m.x36)**2 - (m.x42 + m.x58) **2 + m.x169 >= 0) m.e79 = Constraint(expr= (m.x3 - m.x37)**2 + (m.x4 - m.x38)**2 - (m.x42 + m.x59) **2 + m.x169 >= 0) m.e80 = Constraint(expr= (m.x3 - m.x39)**2 + (m.x4 - m.x40)**2 - (m.x42 + m.x60) **2 + m.x169 >= 0) m.e81 = Constraint(expr= (m.x5 - m.x11)**2 + (m.x6 - m.x12)**2 - (m.x43 + m.x46) **2 + m.x169 >= 0) m.e82 = Constraint(expr= (m.x5 - m.x13)**2 + (m.x6 - m.x14)**2 - (m.x43 + m.x47) **2 + m.x169 >= 0) m.e83 = Constraint(expr= (m.x5 - m.x17)**2 + (m.x6 - m.x18)**2 - (m.x43 + m.x49) **2 + m.x169 >= 0) m.e84 = Constraint(expr= (m.x5 - m.x19)**2 + (m.x6 - m.x20)**2 - (m.x43 + m.x50) **2 + m.x169 >= 0) m.e85 = Constraint(expr= (m.x5 - m.x21)**2 + (m.x6 - m.x22)**2 - (m.x43 + m.x51) **2 + m.x169 >= 0) m.e86 = Constraint(expr= (m.x5 - m.x23)**2 + (m.x6 - m.x24)**2 - (m.x43 + m.x52) **2 + m.x169 >= 0) m.e87 = Constraint(expr= (m.x5 - m.x25)**2 + (m.x6 - m.x26)**2 - (m.x43 + m.x53) **2 + m.x169 >= 0) m.e88 = Constraint(expr= (m.x5 - m.x27)**2 + (m.x6 - m.x28)**2 - (m.x43 + m.x54) **2 + m.x169 >= 0) m.e89 = Constraint(expr= (m.x5 - m.x29)**2 + (m.x6 - m.x30)**2 - (m.x43 + m.x55) **2 + m.x169 >= 0) m.e90 = Constraint(expr= (m.x5 - m.x31)**2 + (m.x6 - m.x32)**2 - (m.x43 + m.x56) **2 + m.x169 >= 0) m.e91 = Constraint(expr= (m.x5 - m.x33)**2 + (m.x6 - m.x34)**2 - (m.x43 + m.x57) **2 + m.x169 >= 0) m.e92 = Constraint(expr= (m.x5 - m.x35)**2 + (m.x6 - m.x36)**2 - (m.x43 + m.x58) **2 + m.x169 >= 0) m.e93 = Constraint(expr= (m.x5 - m.x37)**2 + (m.x6 - m.x38)**2 - (m.x43 + m.x59) **2 + m.x169 >= 0) m.e94 = Constraint(expr= (m.x5 - m.x39)**2 + (m.x6 - m.x40)**2 - (m.x43 + m.x60) **2 + m.x169 >= 0) m.e95 = Constraint(expr= (m.x7 - m.x13)**2 + (m.x8 - m.x14)**2 - (m.x44 + m.x47) **2 + m.x169 >= 0) m.e96 = Constraint(expr= (m.x7 - m.x15)**2 + (m.x8 - m.x16)**2 - (m.x44 + m.x48) **2 + m.x169 >= 0) m.e97 = Constraint(expr= (m.x7 - m.x17)**2 + (m.x8 - m.x18)**2 - (m.x44 + m.x49) **2 + m.x169 >= 0) m.e98 = Constraint(expr= (m.x7 - m.x19)**2 + (m.x8 - m.x20)**2 - (m.x44 + m.x50) **2 + m.x169 >= 0) m.e99 = Constraint(expr= (m.x7 - m.x21)**2 + (m.x8 - m.x22)**2 - (m.x44 + m.x51) **2 + m.x169 >= 0) m.e100 = Constraint(expr= (m.x7 - m.x23)**2 + (m.x8 - m.x24)**2 - (m.x44 + m.x52)**2 + m.x169 >= 0) m.e101 = Constraint(expr= (m.x7 - m.x25)**2 + (m.x8 - m.x26)**2 - (m.x44 + m.x53)**2 + m.x169 >= 0) m.e102 = Constraint(expr= (m.x7 - m.x27)**2 + (m.x8 - m.x28)**2 - (m.x44 + m.x54)**2 + m.x169 >= 0) m.e103 = Constraint(expr= (m.x7 - m.x29)**2 + (m.x8 - m.x30)**2 - (m.x44 + m.x55)**2 + m.x169 >= 0) m.e104 = Constraint(expr= (m.x7 - m.x31)**2 + (m.x8 - m.x32)**2 - (m.x44 + m.x56)**2 + m.x169 >= 0) m.e105 = Constraint(expr= (m.x7 - m.x33)**2 + (m.x8 - m.x34)**2 - (m.x44 + m.x57)**2 + m.x169 >= 0) m.e106 = Constraint(expr= (m.x7 - m.x35)**2 + (m.x8 - m.x36)**2 - (m.x44 + m.x58)**2 + m.x169 >= 0) m.e107 = Constraint(expr= (m.x7 - m.x37)**2 + (m.x8 - m.x38)**2 - (m.x44 + m.x59)**2 + m.x169 >= 0) m.e108 = Constraint(expr= (m.x7 - m.x39)**2 + (m.x8 - m.x40)**2 - (m.x44 + m.x60)**2 + m.x169 >= 0) m.e109 = Constraint(expr= (m.x9 - m.x17)**2 + (m.x10 - m.x18)**2 - (m.x45 + m.x49)**2 + m.x169 >= 0) m.e110 = Constraint(expr= (m.x9 - m.x19)**2 + (m.x10 - m.x20)**2 - (m.x45 + m.x50)**2 + m.x169 >= 0) m.e111 = Constraint(expr= (m.x9 - m.x21)**2 + (m.x10 - m.x22)**2 - (m.x45 + m.x51)**2 + m.x169 >= 0) m.e112 = Constraint(expr= (m.x9 - m.x23)**2 + (m.x10 - m.x24)**2 - (m.x45 + m.x52)**2 + m.x169 >= 0) m.e113 = Constraint(expr= (m.x9 - m.x25)**2 + (m.x10 - m.x26)**2 - (m.x45 + m.x53)**2 + m.x169 >= 0) m.e114 = Constraint(expr= (m.x9 - m.x27)**2 + (m.x10 - m.x28)**2 - (m.x45 + m.x54)**2 + m.x169 >= 0) m.e115 = Constraint(expr= (m.x9 - m.x29)**2 + (m.x10 - m.x30)**2 - (m.x45 + m.x55)**2 + m.x169 >= 0) m.e116 = Constraint(expr= (m.x9 - m.x31)**2 + (m.x10 - m.x32)**2 - (m.x45 + m.x56)**2 + m.x169 >= 0) m.e117 = Constraint(expr= (m.x9 - m.x33)**2 + (m.x10 - m.x34)**2 - (m.x45 + m.x57)**2 + m.x169 >= 0) m.e118 = Constraint(expr= (m.x9 - m.x35)**2 + (m.x10 - m.x36)**2 - (m.x45 + m.x58)**2 + m.x169 >= 0) m.e119 = Constraint(expr= (m.x9 - m.x37)**2 + (m.x10 - m.x38)**2 - (m.x45 + m.x59)**2 + m.x169 >= 0) m.e120 = Constraint(expr= (m.x9 - m.x39)**2 + (m.x10 - m.x40)**2 - (m.x45 + m.x60)**2 + m.x169 >= 0) m.e121 = Constraint(expr= (m.x11 - m.x15)**2 + (m.x12 - m.x16)**2 - (m.x46 + m.x48)**2 + m.x169 >= 0) m.e122 = Constraint(expr= (m.x11 - m.x17)**2 + (m.x12 - m.x18)**2 - (m.x46 + m.x49)**2 + m.x169 >= 0) m.e123 = Constraint(expr= (m.x11 - m.x19)**2 + (m.x12 - m.x20)**2 - (m.x46 + m.x50)**2 + m.x169 >= 0) m.e124 = Constraint(expr= (m.x11 - m.x21)**2 + (m.x12 - m.x22)**2 - (m.x46 + m.x51)**2 + m.x169 >= 0) m.e125 = Constraint(expr= (m.x11 - m.x23)**2 + (m.x12 - m.x24)**2 - (m.x46 + m.x52)**2 + m.x169 >= 0) m.e126 = Constraint(expr= (m.x11 - m.x25)**2 + (m.x12 - m.x26)**2 - (m.x46 + m.x53)**2 + m.x169 >= 0) m.e127 = Constraint(expr= (m.x11 - m.x27)**2 + (m.x12 - m.x28)**2 - (m.x46 + m.x54)**2 + m.x169 >= 0) m.e128 = Constraint(expr= (m.x11 - m.x29)**2 + (m.x12 - m.x30)**2 - (m.x46 + m.x55)**2 + m.x169 >= 0) m.e129 = Constraint(expr= (m.x11 - m.x31)**2 + (m.x12 - m.x32)**2 - (m.x46 + m.x56)**2 + m.x169 >= 0) m.e130 = Constraint(expr= (m.x11 - m.x33)**2 + (m.x12 - m.x34)**2 - (m.x46 + m.x57)**2 + m.x169 >= 0) m.e131 = Constraint(expr= (m.x11 - m.x35)**2 + (m.x12 - m.x36)**2 - (m.x46 + m.x58)**2 + m.x169 >= 0) m.e132 = Constraint(expr= (m.x11 - m.x37)**2 + (m.x12 - m.x38)**2 - (m.x46 + m.x59)**2 + m.x169 >= 0) m.e133 = Constraint(expr= (m.x11 - m.x39)**2 + (m.x12 - m.x40)**2 - (m.x46 + m.x60)**2 + m.x169 >= 0) m.e134 = Constraint(expr= (m.x13 - m.x19)**2 + (m.x14 - m.x20)**2 - (m.x47 + m.x50)**2 + m.x169 >= 0) m.e135 = Constraint(expr= (m.x13 - m.x25)**2 + (m.x14 - m.x26)**2 - (m.x47 + m.x53)**2 + m.x169 >= 0) m.e136 = Constraint(expr= (m.x13 - m.x27)**2 + (m.x14 - m.x28)**2 - (m.x47 + m.x54)**2 + m.x169 >= 0) m.e137 = Constraint(expr= (m.x13 - m.x29)**2 + (m.x14 - m.x30)**2 - (m.x47 + m.x55)**2 + m.x169 >= 0) m.e138 = Constraint(expr= (m.x13 - m.x31)**2 + (m.x14 - m.x32)**2 - (m.x47 + m.x56)**2 + m.x169 >= 0) m.e139 = Constraint(expr= (m.x13 - m.x33)**2 + (m.x14 - m.x34)**2 - (m.x47 + m.x57)**2 + m.x169 >= 0) m.e140 = Constraint(expr= (m.x13 - m.x35)**2 + (m.x14 - m.x36)**2 - (m.x47 + m.x58)**2 + m.x169 >= 0) m.e141 = Constraint(expr= (m.x13 - m.x37)**2 + (m.x14 - m.x38)**2 - (m.x47 + m.x59)**2 + m.x169 >= 0) m.e142 = Constraint(expr= (m.x13 - m.x39)**2 + (m.x14 - m.x40)**2 - (m.x47 + m.x60)**2 + m.x169 >= 0) m.e143 = Constraint(expr= (m.x15 - m.x21)**2 + (m.x16 - m.x22)**2 - (m.x48 + m.x51)**2 + m.x169 >= 0) m.e144 = Constraint(expr= (m.x15 - m.x23)**2 + (m.x16 - m.x24)**2 - (m.x48 + m.x52)**2 + m.x169 >= 0) m.e145 = Constraint(expr= (m.x15 - m.x25)**2 + (m.x16 - m.x26)**2 - (m.x48 + m.x53)**2 + m.x169 >= 0) m.e146 = Constraint(expr= (m.x15 - m.x27)**2 + (m.x16 - m.x28)**2 - (m.x48 + m.x54)**2 + m.x169 >= 0) m.e147 = Constraint(expr= (m.x15 - m.x29)**2 + (m.x16 - m.x30)**2 - (m.x48 + m.x55)**2 + m.x169 >= 0) m.e148 = Constraint(expr= (m.x15 - m.x31)**2 + (m.x16 - m.x32)**2 - (m.x48 + m.x56)**2 + m.x169 >= 0) m.e149 = Constraint(expr= (m.x15 - m.x33)**2 + (m.x16 - m.x34)**2 - (m.x48 + m.x57)**2 + m.x169 >= 0) m.e150 = Constraint(expr= (m.x15 - m.x35)**2 + (m.x16 - m.x36)**2 - (m.x48 + m.x58)**2 + m.x169 >= 0) m.e151 = Constraint(expr= (m.x15 - m.x37)**2 + (m.x16 - m.x38)**2 - (m.x48 + m.x59)**2 + m.x169 >= 0) m.e152 = Constraint(expr= (m.x15 - m.x39)**2 + (m.x16 - m.x40)**2 - (m.x48 + m.x60)**2 + m.x169 >= 0) m.e153 = Constraint(expr= (m.x17 - m.x23)**2 + (m.x18 - m.x24)**2 - (m.x49 + m.x52)**2 + m.x169 >= 0) m.e154 = Constraint(expr= (m.x17 - m.x25)**2 + (m.x18 - m.x26)**2 - (m.x49 + m.x53)**2 + m.x169 >= 0) m.e155 = Constraint(expr= (m.x17 - m.x27)**2 + (m.x18 - m.x28)**2 - (m.x49 + m.x54)**2 + m.x169 >= 0) m.e156 = Constraint(expr= (m.x17 - m.x29)**2 + (m.x18 - m.x30)**2 - (m.x49 + m.x55)**2 + m.x169 >= 0) m.e157 = Constraint(expr= (m.x17 - m.x31)**2 + (m.x18 - m.x32)**2 - (m.x49 + m.x56)**2 + m.x169 >= 0) m.e158 = Constraint(expr= (m.x17 - m.x33)**2 + (m.x18 - m.x34)**2 - (m.x49 + m.x57)**2 + m.x169 >= 0) m.e159 = Constraint(expr= (m.x17 - m.x35)**2 + (m.x18 - m.x36)**2 - (m.x49 + m.x58)**2 + m.x169 >= 0) m.e160 = Constraint(expr= (m.x17 - m.x37)**2 + (m.x18 - m.x38)**2 - (m.x49 + m.x59)**2 + m.x169 >= 0) m.e161 = Constraint(expr= (m.x17 - m.x39)**2 + (m.x18 - m.x40)**2 - (m.x49 + m.x60)**2 + m.x169 >= 0) m.e162 = Constraint(expr= (m.x19 - m.x33)**2 + (m.x20 - m.x34)**2 - (m.x50 + m.x57)**2 + m.x169 >= 0) m.e163 = Constraint(expr= (m.x19 - m.x35)**2 + (m.x20 - m.x36)**2 - (m.x50 + m.x58)**2 + m.x169 >= 0) m.e164 = Constraint(expr= (m.x21 - m.x25)**2 + (m.x22 - m.x26)**2 - (m.x51 + m.x53)**2 + m.x169 >= 0) m.e165 = Constraint(expr= (m.x21 - m.x27)**2 + (m.x22 - m.x28)**2 - (m.x51 + m.x54)**2 + m.x169 >= 0) m.e166 = Constraint(expr= (m.x21 - m.x29)**2 + (m.x22 - m.x30)**2 - (m.x51 + m.x55)**2 + m.x169 >= 0) m.e167 = Constraint(expr= (m.x21 - m.x31)**2 + (m.x22 - m.x32)**2 - (m.x51 + m.x56)**2 + m.x169 >= 0) m.e168 = Constraint(expr= (m.x21 - m.x33)**2 + (m.x22 - m.x34)**2 - (m.x51 + m.x57)**2 + m.x169 >= 0) m.e169 = Constraint(expr= (m.x21 - m.x35)**2 + (m.x22 - m.x36)**2 - (m.x51 + m.x58)**2 + m.x169 >= 0) m.e170 = Constraint(expr= (m.x21 - m.x37)**2 + (m.x22 - m.x38)**2 - (m.x51 + m.x59)**2 + m.x169 >= 0) m.e171 = Constraint(expr= (m.x21 - m.x39)**2 + (m.x22 - m.x40)**2 - (m.x51 + m.x60)**2 + m.x169 >= 0) m.e172 = Constraint(expr= (m.x23 - m.x31)**2 + (m.x24 - m.x32)**2 - (m.x52 + m.x56)**2 + m.x169 >= 0) m.e173 = Constraint(expr= (m.x23 - m.x37)**2 + (m.x24 - m.x38)**2 - (m.x52 + m.x59)**2 + m.x169 >= 0) m.e174 = Constraint(expr= (m.x25 - m.x29)**2 + (m.x26 - m.x30)**2 - (m.x53 + m.x55)**2 + m.x169 >= 0) m.e175 = Constraint(expr= (m.x25 - m.x31)**2 + (m.x26 - m.x32)**2 - (m.x53 + m.x56)**2 + m.x169 >= 0) m.e176 = Constraint(expr= (m.x25 - m.x33)**2 + (m.x26 - m.x34)**2 - (m.x53 + m.x57)**2 + m.x169 >= 0) m.e177 = Constraint(expr= (m.x25 - m.x35)**2 + (m.x26 - m.x36)**2 - (m.x53 + m.x58)**2 + m.x169 >= 0) m.e178 = Constraint(expr= (m.x25 - m.x37)**2 + (m.x26 - m.x38)**2 - (m.x53 + m.x59)**2 + m.x169 >= 0) m.e179 = Constraint(expr= (m.x25 - m.x39)**2 + (m.x26 - m.x40)**2 - (m.x53 + m.x60)**2 + m.x169 >= 0) m.e180 = Constraint(expr= (m.x27 - m.x31)**2 + (m.x28 - m.x32)**2 - (m.x54 + m.x56)**2 + m.x169 >= 0) m.e181 = Constraint(expr= (m.x27 - m.x33)**2 + (m.x28 - m.x34)**2 - (m.x54 + m.x57)**2 + m.x169 >= 0) m.e182 = Constraint(expr= (m.x27 - m.x35)**2 + (m.x28 - m.x36)**2 - (m.x54 + m.x58)**2 + m.x169 >= 0) m.e183 = Constraint(expr= (m.x27 - m.x37)**2 + (m.x28 - m.x38)**2 - (m.x54 + m.x59)**2 + m.x169 >= 0) m.e184 = Constraint(expr= (m.x27 - m.x39)**2 + (m.x28 - m.x40)**2 - (m.x54 + m.x60)**2 + m.x169 >= 0) m.e185 = Constraint(expr= (m.x29 - m.x35)**2 + (m.x30 - m.x36)**2 - (m.x55 + m.x58)**2 + m.x169 >= 0) m.e186 = Constraint(expr= (m.x29 - m.x37)**2 + (m.x30 - m.x38)**2 - (m.x55 + m.x59)**2 + m.x169 >= 0) m.e187 = Constraint(expr= (m.x29 - m.x39)**2 + (m.x30 - m.x40)**2 - (m.x55 + m.x60)**2 + m.x169 >= 0) m.e188 = Constraint(expr= (m.x31 - m.x39)**2 + (m.x32 - m.x40)**2 - (m.x56 + m.x60)**2 + m.x169 >= 0) m.e189 = Constraint(expr= (m.x33 - m.x37)**2 + (m.x34 - m.x38)**2 - (m.x57 + m.x59)**2 + m.x169 >= 0) m.e190 = Constraint(expr= (m.x33 - m.x39)**2 + (m.x34 - m.x40)**2 - (m.x57 + m.x60)**2 + m.x169 >= 0)