GLOBAL World [ GLOBAL World Home | GLOBALLib | Contact ]

elec25.gms:

References:

Point:


* NLP written by GAMS Convert at 07/24/01 16:04:38 * * Equation counts * Total E G L N X * 26 26 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 76 76 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 151 1 150 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19 ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36 ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53 ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70 ,x71,x72,x73,x74,x75,objvar; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19 ,e20,e21,e22,e23,e24,e25,e26; e1.. - (1/sqrt(sqr(x1 - x2) + sqr(x26 - x27) + sqr(x51 - x52)) + 1/sqrt(sqr(x1 - x3) + sqr(x26 - x28) + sqr(x51 - x53)) + 1/sqrt(sqr(x1 - x4) + sqr(x26 - x29) + sqr(x51 - x54)) + 1/sqrt(sqr(x1 - x5) + sqr(x26 - x30) + sqr(x51 - x55)) + 1/sqrt(sqr(x1 - x6) + sqr(x26 - x31) + sqr(x51 - x56)) + 1/ sqrt(sqr(x1 - x7) + sqr(x26 - x32) + sqr(x51 - x57)) + 1/sqrt(sqr(x1 - x8) + sqr(x26 - x33) + sqr(x51 - x58)) + 1/sqrt(sqr(x1 - x9) + sqr(x26 - x34) + sqr(x51 - x59)) + 1/sqrt(sqr(x1 - x10) + sqr(x26 - x35) + sqr(x51 - x60 )) + 1/sqrt(sqr(x1 - x11) + sqr(x26 - x36) + sqr(x51 - x61)) + 1/sqrt(sqr( x1 - x12) + sqr(x26 - x37) + sqr(x51 - x62)) + 1/sqrt(sqr(x1 - x13) + sqr( x26 - x38) + sqr(x51 - x63)) + 1/sqrt(sqr(x1 - x14) + sqr(x26 - x39) + sqr(x51 - x64)) + 1/sqrt(sqr(x1 - x15) + sqr(x26 - x40) + sqr(x51 - x65)) + 1/sqrt(sqr(x1 - x16) + sqr(x26 - x41) + sqr(x51 - x66)) + 1/sqrt(sqr(x1 - x17) + sqr(x26 - x42) + sqr(x51 - x67)) + 1/sqrt(sqr(x1 - x18) + sqr( x26 - x43) + sqr(x51 - x68)) + 1/sqrt(sqr(x1 - x19) + sqr(x26 - x44) + sqr(x51 - x69)) + 1/sqrt(sqr(x1 - x20) + sqr(x26 - x45) + sqr(x51 - x70)) + 1/sqrt(sqr(x1 - x21) + sqr(x26 - x46) + sqr(x51 - x71)) + 1/sqrt(sqr(x1 - x22) + sqr(x26 - x47) + sqr(x51 - x72)) + 1/sqrt(sqr(x1 - x23) + sqr( x26 - x48) + sqr(x51 - x73)) + 1/sqrt(sqr(x1 - x24) + sqr(x26 - x49) + sqr(x51 - x74)) + 1/sqrt(sqr(x1 - x25) + sqr(x26 - x50) + sqr(x51 - x75)) + 1/sqrt(sqr(x2 - x3) + sqr(x27 - x28) + sqr(x52 - x53)) + 1/sqrt(sqr(x2 - x4) + sqr(x27 - x29) + sqr(x52 - x54)) + 1/sqrt(sqr(x2 - x5) + sqr(x27 - x30) + sqr(x52 - x55)) + 1/sqrt(sqr(x2 - x6) + sqr(x27 - x31) + sqr(x52 - x56)) + 1/sqrt(sqr(x2 - x7) + sqr(x27 - x32) + sqr(x52 - x57)) + 1/ sqrt(sqr(x2 - x8) + sqr(x27 - x33) + sqr(x52 - x58)) + 1/sqrt(sqr(x2 - x9) + sqr(x27 - x34) + sqr(x52 - x59)) + 1/sqrt(sqr(x2 - x10) + sqr(x27 - x35 ) + sqr(x52 - x60)) + 1/sqrt(sqr(x2 - x11) + sqr(x27 - x36) + sqr(x52 - x61)) + 1/sqrt(sqr(x2 - x12) + sqr(x27 - x37) + sqr(x52 - x62)) + 1/sqrt( sqr(x2 - x13) + sqr(x27 - x38) + sqr(x52 - x63)) + 1/sqrt(sqr(x2 - x14) + sqr(x27 - x39) + sqr(x52 - x64)) + 1/sqrt(sqr(x2 - x15) + sqr(x27 - x40) + sqr(x52 - x65)) + 1/sqrt(sqr(x2 - x16) + sqr(x27 - x41) + sqr(x52 - x66 )) + 1/sqrt(sqr(x2 - x17) + sqr(x27 - x42) + sqr(x52 - x67)) + 1/sqrt(sqr( x2 - x18) + sqr(x27 - x43) + sqr(x52 - x68)) + 1/sqrt(sqr(x2 - x19) + sqr( x27 - x44) + sqr(x52 - x69)) + 1/sqrt(sqr(x2 - x20) + sqr(x27 - x45) + sqr(x52 - x70)) + 1/sqrt(sqr(x2 - x21) + sqr(x27 - x46) + sqr(x52 - x71)) + 1/sqrt(sqr(x2 - x22) + sqr(x27 - x47) + sqr(x52 - x72)) + 1/sqrt(sqr(x2 - x23) + sqr(x27 - x48) + sqr(x52 - x73)) + 1/sqrt(sqr(x2 - x24) + sqr( x27 - x49) + sqr(x52 - x74)) + 1/sqrt(sqr(x2 - x25) + sqr(x27 - x50) + sqr(x52 - x75)) + 1/sqrt(sqr(x3 - x4) + sqr(x28 - x29) + sqr(x53 - x54)) + 1/sqrt(sqr(x3 - x5) + sqr(x28 - x30) + sqr(x53 - x55)) + 1/sqrt(sqr(x3 - x6) + sqr(x28 - x31) + sqr(x53 - x56)) + 1/sqrt(sqr(x3 - x7) + sqr(x28 - x32) + sqr(x53 - x57)) + 1/sqrt(sqr(x3 - x8) + sqr(x28 - x33) + sqr(x53 - x58)) + 1/sqrt(sqr(x3 - x9) + sqr(x28 - x34) + sqr(x53 - x59)) + 1/ sqrt(sqr(x3 - x10) + sqr(x28 - x35) + sqr(x53 - x60)) + 1/sqrt(sqr(x3 - x11) + sqr(x28 - x36) + sqr(x53 - x61)) + 1/sqrt(sqr(x3 - x12) + sqr(x28 - x37) + sqr(x53 - x62)) + 1/sqrt(sqr(x3 - x13) + sqr(x28 - x38) + sqr( x53 - x63)) + 1/sqrt(sqr(x3 - x14) + sqr(x28 - x39) + sqr(x53 - x64)) + 1/ sqrt(sqr(x3 - x15) + sqr(x28 - x40) + sqr(x53 - x65)) + 1/sqrt(sqr(x3 - x16) + sqr(x28 - x41) + sqr(x53 - x66)) + 1/sqrt(sqr(x3 - x17) + sqr(x28 - x42) + sqr(x53 - x67)) + 1/sqrt(sqr(x3 - x18) + sqr(x28 - x43) + sqr( x53 - x68)) + 1/sqrt(sqr(x3 - x19) + sqr(x28 - x44) + sqr(x53 - x69)) + 1/ sqrt(sqr(x3 - x20) + sqr(x28 - x45) + sqr(x53 - x70)) + 1/sqrt(sqr(x3 - x21) + sqr(x28 - x46) + sqr(x53 - x71)) + 1/sqrt(sqr(x3 - x22) + sqr(x28 - x47) + sqr(x53 - x72)) + 1/sqrt(sqr(x3 - x23) + sqr(x28 - x48) + sqr( x53 - x73)) + 1/sqrt(sqr(x3 - x24) + sqr(x28 - x49) + sqr(x53 - x74)) + 1/ sqrt(sqr(x3 - x25) + sqr(x28 - x50) + sqr(x53 - x75)) + 1/sqrt(sqr(x4 - x5 ) + sqr(x29 - x30) + sqr(x54 - x55)) + 1/sqrt(sqr(x4 - x6) + sqr(x29 - x31 ) + sqr(x54 - x56)) + 1/sqrt(sqr(x4 - x7) + sqr(x29 - x32) + sqr(x54 - x57 )) + 1/sqrt(sqr(x4 - x8) + sqr(x29 - x33) + sqr(x54 - x58)) + 1/sqrt(sqr( x4 - x9) + sqr(x29 - x34) + sqr(x54 - x59)) + 1/sqrt(sqr(x4 - x10) + sqr( x29 - x35) + sqr(x54 - x60)) + 1/sqrt(sqr(x4 - x11) + sqr(x29 - x36) + sqr(x54 - x61)) + 1/sqrt(sqr(x4 - x12) + sqr(x29 - x37) + sqr(x54 - x62)) + 1/sqrt(sqr(x4 - x13) + sqr(x29 - x38) + sqr(x54 - x63)) + 1/sqrt(sqr(x4 - x14) + sqr(x29 - x39) + sqr(x54 - x64)) + 1/sqrt(sqr(x4 - x15) + sqr( x29 - x40) + sqr(x54 - x65)) + 1/sqrt(sqr(x4 - x16) + sqr(x29 - x41) + sqr(x54 - x66)) + 1/sqrt(sqr(x4 - x17) + sqr(x29 - x42) + sqr(x54 - x67)) + 1/sqrt(sqr(x4 - x18) + sqr(x29 - x43) + sqr(x54 - x68)) + 1/sqrt(sqr(x4 - x19) + sqr(x29 - x44) + sqr(x54 - x69)) + 1/sqrt(sqr(x4 - x20) + sqr( x29 - x45) + sqr(x54 - x70)) + 1/sqrt(sqr(x4 - x21) + sqr(x29 - x46) + sqr(x54 - x71)) + 1/sqrt(sqr(x4 - x22) + sqr(x29 - x47) + sqr(x54 - x72)) + 1/sqrt(sqr(x4 - x23) + sqr(x29 - x48) + sqr(x54 - x73)) + 1/sqrt(sqr(x4 - x24) + sqr(x29 - x49) + sqr(x54 - x74)) + 1/sqrt(sqr(x4 - x25) + sqr( x29 - x50) + sqr(x54 - x75)) + 1/sqrt(sqr(x5 - x6) + sqr(x30 - x31) + sqr( x55 - x56)) + 1/sqrt(sqr(x5 - x7) + sqr(x30 - x32) + sqr(x55 - x57)) + 1/ sqrt(sqr(x5 - x8) + sqr(x30 - x33) + sqr(x55 - x58)) + 1/sqrt(sqr(x5 - x9) + sqr(x30 - x34) + sqr(x55 - x59)) + 1/sqrt(sqr(x5 - x10) + sqr(x30 - x35 ) + sqr(x55 - x60)) + 1/sqrt(sqr(x5 - x11) + sqr(x30 - x36) + sqr(x55 - x61)) + 1/sqrt(sqr(x5 - x12) + sqr(x30 - x37) + sqr(x55 - x62)) + 1/sqrt( sqr(x5 - x13) + sqr(x30 - x38) + sqr(x55 - x63)) + 1/sqrt(sqr(x5 - x14) + sqr(x30 - x39) + sqr(x55 - x64)) + 1/sqrt(sqr(x5 - x15) + sqr(x30 - x40) + sqr(x55 - x65)) + 1/sqrt(sqr(x5 - x16) + sqr(x30 - x41) + sqr(x55 - x66 )) + 1/sqrt(sqr(x5 - x17) + sqr(x30 - x42) + sqr(x55 - x67)) + 1/sqrt(sqr( x5 - x18) + sqr(x30 - x43) + sqr(x55 - x68)) + 1/sqrt(sqr(x5 - x19) + sqr( x30 - x44) + sqr(x55 - x69)) + 1/sqrt(sqr(x5 - x20) + sqr(x30 - x45) + sqr(x55 - x70)) + 1/sqrt(sqr(x5 - x21) + sqr(x30 - x46) + sqr(x55 - x71)) + 1/sqrt(sqr(x5 - x22) + sqr(x30 - x47) + sqr(x55 - x72)) + 1/sqrt(sqr(x5 - x23) + sqr(x30 - x48) + sqr(x55 - x73)) + 1/sqrt(sqr(x5 - x24) + sqr( x30 - x49) + sqr(x55 - x74)) + 1/sqrt(sqr(x5 - x25) + sqr(x30 - x50) + sqr(x55 - x75)) + 1/sqrt(sqr(x6 - x7) + sqr(x31 - x32) + sqr(x56 - x57)) + 1/sqrt(sqr(x6 - x8) + sqr(x31 - x33) + sqr(x56 - x58)) + 1/sqrt(sqr(x6 - x9) + sqr(x31 - x34) + sqr(x56 - x59)) + 1/sqrt(sqr(x6 - x10) + sqr(x31 - x35) + sqr(x56 - x60)) + 1/sqrt(sqr(x6 - x11) + sqr(x31 - x36) + sqr( x56 - x61)) + 1/sqrt(sqr(x6 - x12) + sqr(x31 - x37) + sqr(x56 - x62)) + 1/ sqrt(sqr(x6 - x13) + sqr(x31 - x38) + sqr(x56 - x63)) + 1/sqrt(sqr(x6 - x14) + sqr(x31 - x39) + sqr(x56 - x64)) + 1/sqrt(sqr(x6 - x15) + sqr(x31 - x40) + sqr(x56 - x65)) + 1/sqrt(sqr(x6 - x16) + sqr(x31 - x41) + sqr( x56 - x66)) + 1/sqrt(sqr(x6 - x17) + sqr(x31 - x42) + sqr(x56 - x67)) + 1/ sqrt(sqr(x6 - x18) + sqr(x31 - x43) + sqr(x56 - x68)) + 1/sqrt(sqr(x6 - x19) + sqr(x31 - x44) + sqr(x56 - x69)) + 1/sqrt(sqr(x6 - x20) + sqr(x31 - x45) + sqr(x56 - x70)) + 1/sqrt(sqr(x6 - x21) + sqr(x31 - x46) + sqr( x56 - x71)) + 1/sqrt(sqr(x6 - x22) + sqr(x31 - x47) + sqr(x56 - x72)) + 1/ sqrt(sqr(x6 - x23) + sqr(x31 - x48) + sqr(x56 - x73)) + 1/sqrt(sqr(x6 - x24) + sqr(x31 - x49) + sqr(x56 - x74)) + 1/sqrt(sqr(x6 - x25) + sqr(x31 - x50) + sqr(x56 - x75)) + 1/sqrt(sqr(x7 - x8) + sqr(x32 - x33) + sqr(x57 - x58)) + 1/sqrt(sqr(x7 - x9) + sqr(x32 - x34) + sqr(x57 - x59)) + 1/ sqrt(sqr(x7 - x10) + sqr(x32 - x35) + sqr(x57 - x60)) + 1/sqrt(sqr(x7 - x11) + sqr(x32 - x36) + sqr(x57 - x61)) + 1/sqrt(sqr(x7 - x12) + sqr(x32 - x37) + sqr(x57 - x62)) + 1/sqrt(sqr(x7 - x13) + sqr(x32 - x38) + sqr( x57 - x63)) + 1/sqrt(sqr(x7 - x14) + sqr(x32 - x39) + sqr(x57 - x64)) + 1/ sqrt(sqr(x7 - x15) + sqr(x32 - x40) + sqr(x57 - x65)) + 1/sqrt(sqr(x7 - x16) + sqr(x32 - x41) + sqr(x57 - x66)) + 1/sqrt(sqr(x7 - x17) + sqr(x32 - x42) + sqr(x57 - x67)) + 1/sqrt(sqr(x7 - x18) + sqr(x32 - x43) + sqr( x57 - x68)) + 1/sqrt(sqr(x7 - x19) + sqr(x32 - x44) + sqr(x57 - x69)) + 1/ sqrt(sqr(x7 - x20) + sqr(x32 - x45) + sqr(x57 - x70)) + 1/sqrt(sqr(x7 - x21) + sqr(x32 - x46) + sqr(x57 - x71)) + 1/sqrt(sqr(x7 - x22) + sqr(x32 - x47) + sqr(x57 - x72)) + 1/sqrt(sqr(x7 - x23) + sqr(x32 - x48) + sqr( x57 - x73)) + 1/sqrt(sqr(x7 - x24) + sqr(x32 - x49) + sqr(x57 - x74)) + 1/ sqrt(sqr(x7 - x25) + sqr(x32 - x50) + sqr(x57 - x75)) + 1/sqrt(sqr(x8 - x9 ) + sqr(x33 - x34) + sqr(x58 - x59)) + 1/sqrt(sqr(x8 - x10) + sqr(x33 - x35) + sqr(x58 - x60)) + 1/sqrt(sqr(x8 - x11) + sqr(x33 - x36) + sqr(x58 - x61)) + 1/sqrt(sqr(x8 - x12) + sqr(x33 - x37) + sqr(x58 - x62)) + 1/ sqrt(sqr(x8 - x13) + sqr(x33 - x38) + sqr(x58 - x63)) + 1/sqrt(sqr(x8 - x14) + sqr(x33 - x39) + sqr(x58 - x64)) + 1/sqrt(sqr(x8 - x15) + sqr(x33 - x40) + sqr(x58 - x65)) + 1/sqrt(sqr(x8 - x16) + sqr(x33 - x41) + sqr( x58 - x66)) + 1/sqrt(sqr(x8 - x17) + sqr(x33 - x42) + sqr(x58 - x67)) + 1/ sqrt(sqr(x8 - x18) + sqr(x33 - x43) + sqr(x58 - x68)) + 1/sqrt(sqr(x8 - x19) + sqr(x33 - x44) + sqr(x58 - x69)) + 1/sqrt(sqr(x8 - x20) + sqr(x33 - x45) + sqr(x58 - x70)) + 1/sqrt(sqr(x8 - x21) + sqr(x33 - x46) + sqr( x58 - x71)) + 1/sqrt(sqr(x8 - x22) + sqr(x33 - x47) + sqr(x58 - x72)) + 1/ sqrt(sqr(x8 - x23) + sqr(x33 - x48) + sqr(x58 - x73)) + 1/sqrt(sqr(x8 - x24) + sqr(x33 - x49) + sqr(x58 - x74)) + 1/sqrt(sqr(x8 - x25) + sqr(x33 - x50) + sqr(x58 - x75)) + 1/sqrt(sqr(x9 - x10) + sqr(x34 - x35) + sqr( x59 - x60)) + 1/sqrt(sqr(x9 - x11) + sqr(x34 - x36) + sqr(x59 - x61)) + 1/ sqrt(sqr(x9 - x12) + sqr(x34 - x37) + sqr(x59 - x62)) + 1/sqrt(sqr(x9 - x13) + sqr(x34 - x38) + sqr(x59 - x63)) + 1/sqrt(sqr(x9 - x14) + sqr(x34 - x39) + sqr(x59 - x64)) + 1/sqrt(sqr(x9 - x15) + sqr(x34 - x40) + sqr( x59 - x65)) + 1/sqrt(sqr(x9 - x16) + sqr(x34 - x41) + sqr(x59 - x66)) + 1/ sqrt(sqr(x9 - x17) + sqr(x34 - x42) + sqr(x59 - x67)) + 1/sqrt(sqr(x9 - x18) + sqr(x34 - x43) + sqr(x59 - x68)) + 1/sqrt(sqr(x9 - x19) + sqr(x34 - x44) + sqr(x59 - x69)) + 1/sqrt(sqr(x9 - x20) + sqr(x34 - x45) + sqr( x59 - x70)) + 1/sqrt(sqr(x9 - x21) + sqr(x34 - x46) + sqr(x59 - x71)) + 1/ sqrt(sqr(x9 - x22) + sqr(x34 - x47) + sqr(x59 - x72)) + 1/sqrt(sqr(x9 - x23) + sqr(x34 - x48) + sqr(x59 - x73)) + 1/sqrt(sqr(x9 - x24) + sqr(x34 - x49) + sqr(x59 - x74)) + 1/sqrt(sqr(x9 - x25) + sqr(x34 - x50) + sqr( x59 - x75)) + 1/sqrt(sqr(x10 - x11) + sqr(x35 - x36) + sqr(x60 - x61)) + 1 /sqrt(sqr(x10 - x12) + sqr(x35 - x37) + sqr(x60 - x62)) + 1/sqrt(sqr(x10 - x13) + sqr(x35 - x38) + sqr(x60 - x63)) + 1/sqrt(sqr(x10 - x14) + sqr( x35 - x39) + sqr(x60 - x64)) + 1/sqrt(sqr(x10 - x15) + sqr(x35 - x40) + sqr(x60 - x65)) + 1/sqrt(sqr(x10 - x16) + sqr(x35 - x41) + sqr(x60 - x66)) + 1/sqrt(sqr(x10 - x17) + sqr(x35 - x42) + sqr(x60 - x67)) + 1/sqrt(sqr( x10 - x18) + sqr(x35 - x43) + sqr(x60 - x68)) + 1/sqrt(sqr(x10 - x19) + sqr(x35 - x44) + sqr(x60 - x69)) + 1/sqrt(sqr(x10 - x20) + sqr(x35 - x45) + sqr(x60 - x70)) + 1/sqrt(sqr(x10 - x21) + sqr(x35 - x46) + sqr(x60 - x71)) + 1/sqrt(sqr(x10 - x22) + sqr(x35 - x47) + sqr(x60 - x72)) + 1/sqrt( sqr(x10 - x23) + sqr(x35 - x48) + sqr(x60 - x73)) + 1/sqrt(sqr(x10 - x24) + sqr(x35 - x49) + sqr(x60 - x74)) + 1/sqrt(sqr(x10 - x25) + sqr(x35 - x50) + sqr(x60 - x75)) + 1/sqrt(sqr(x11 - x12) + sqr(x36 - x37) + sqr(x61 - x62)) + 1/sqrt(sqr(x11 - x13) + sqr(x36 - x38) + sqr(x61 - x63)) + 1/ sqrt(sqr(x11 - x14) + sqr(x36 - x39) + sqr(x61 - x64)) + 1/sqrt(sqr(x11 - x15) + sqr(x36 - x40) + sqr(x61 - x65)) + 1/sqrt(sqr(x11 - x16) + sqr(x36 - x41) + sqr(x61 - x66)) + 1/sqrt(sqr(x11 - x17) + sqr(x36 - x42) + sqr( x61 - x67)) + 1/sqrt(sqr(x11 - x18) + sqr(x36 - x43) + sqr(x61 - x68)) + 1 /sqrt(sqr(x11 - x19) + sqr(x36 - x44) + sqr(x61 - x69)) + 1/sqrt(sqr(x11 - x20) + sqr(x36 - x45) + sqr(x61 - x70)) + 1/sqrt(sqr(x11 - x21) + sqr( x36 - x46) + sqr(x61 - x71)) + 1/sqrt(sqr(x11 - x22) + sqr(x36 - x47) + sqr(x61 - x72)) + 1/sqrt(sqr(x11 - x23) + sqr(x36 - x48) + sqr(x61 - x73)) + 1/sqrt(sqr(x11 - x24) + sqr(x36 - x49) + sqr(x61 - x74)) + 1/sqrt(sqr( x11 - x25) + sqr(x36 - x50) + sqr(x61 - x75)) + 1/sqrt(sqr(x12 - x13) + sqr(x37 - x38) + sqr(x62 - x63)) + 1/sqrt(sqr(x12 - x14) + sqr(x37 - x39) + sqr(x62 - x64)) + 1/sqrt(sqr(x12 - x15) + sqr(x37 - x40) + sqr(x62 - x65)) + 1/sqrt(sqr(x12 - x16) + sqr(x37 - x41) + sqr(x62 - x66)) + 1/sqrt( sqr(x12 - x17) + sqr(x37 - x42) + sqr(x62 - x67)) + 1/sqrt(sqr(x12 - x18) + sqr(x37 - x43) + sqr(x62 - x68)) + 1/sqrt(sqr(x12 - x19) + sqr(x37 - x44) + sqr(x62 - x69)) + 1/sqrt(sqr(x12 - x20) + sqr(x37 - x45) + sqr(x62 - x70)) + 1/sqrt(sqr(x12 - x21) + sqr(x37 - x46) + sqr(x62 - x71)) + 1/ sqrt(sqr(x12 - x22) + sqr(x37 - x47) + sqr(x62 - x72)) + 1/sqrt(sqr(x12 - x23) + sqr(x37 - x48) + sqr(x62 - x73)) + 1/sqrt(sqr(x12 - x24) + sqr(x37 - x49) + sqr(x62 - x74)) + 1/sqrt(sqr(x12 - x25) + sqr(x37 - x50) + sqr( x62 - x75)) + 1/sqrt(sqr(x13 - x14) + sqr(x38 - x39) + sqr(x63 - x64)) + 1 /sqrt(sqr(x13 - x15) + sqr(x38 - x40) + sqr(x63 - x65)) + 1/sqrt(sqr(x13 - x16) + sqr(x38 - x41) + sqr(x63 - x66)) + 1/sqrt(sqr(x13 - x17) + sqr( x38 - x42) + sqr(x63 - x67)) + 1/sqrt(sqr(x13 - x18) + sqr(x38 - x43) + sqr(x63 - x68)) + 1/sqrt(sqr(x13 - x19) + sqr(x38 - x44) + sqr(x63 - x69)) + 1/sqrt(sqr(x13 - x20) + sqr(x38 - x45) + sqr(x63 - x70)) + 1/sqrt(sqr( x13 - x21) + sqr(x38 - x46) + sqr(x63 - x71)) + 1/sqrt(sqr(x13 - x22) + sqr(x38 - x47) + sqr(x63 - x72)) + 1/sqrt(sqr(x13 - x23) + sqr(x38 - x48) + sqr(x63 - x73)) + 1/sqrt(sqr(x13 - x24) + sqr(x38 - x49) + sqr(x63 - x74)) + 1/sqrt(sqr(x13 - x25) + sqr(x38 - x50) + sqr(x63 - x75)) + 1/sqrt( sqr(x14 - x15) + sqr(x39 - x40) + sqr(x64 - x65)) + 1/sqrt(sqr(x14 - x16) + sqr(x39 - x41) + sqr(x64 - x66)) + 1/sqrt(sqr(x14 - x17) + sqr(x39 - x42) + sqr(x64 - x67)) + 1/sqrt(sqr(x14 - x18) + sqr(x39 - x43) + sqr(x64 - x68)) + 1/sqrt(sqr(x14 - x19) + sqr(x39 - x44) + sqr(x64 - x69)) + 1/ sqrt(sqr(x14 - x20) + sqr(x39 - x45) + sqr(x64 - x70)) + 1/sqrt(sqr(x14 - x21) + sqr(x39 - x46) + sqr(x64 - x71)) + 1/sqrt(sqr(x14 - x22) + sqr(x39 - x47) + sqr(x64 - x72)) + 1/sqrt(sqr(x14 - x23) + sqr(x39 - x48) + sqr( x64 - x73)) + 1/sqrt(sqr(x14 - x24) + sqr(x39 - x49) + sqr(x64 - x74)) + 1 /sqrt(sqr(x14 - x25) + sqr(x39 - x50) + sqr(x64 - x75)) + 1/sqrt(sqr(x15 - x16) + sqr(x40 - x41) + sqr(x65 - x66)) + 1/sqrt(sqr(x15 - x17) + sqr( x40 - x42) + sqr(x65 - x67)) + 1/sqrt(sqr(x15 - x18) + sqr(x40 - x43) + sqr(x65 - x68)) + 1/sqrt(sqr(x15 - x19) + sqr(x40 - x44) + sqr(x65 - x69)) + 1/sqrt(sqr(x15 - x20) + sqr(x40 - x45) + sqr(x65 - x70)) + 1/sqrt(sqr( x15 - x21) + sqr(x40 - x46) + sqr(x65 - x71)) + 1/sqrt(sqr(x15 - x22) + sqr(x40 - x47) + sqr(x65 - x72)) + 1/sqrt(sqr(x15 - x23) + sqr(x40 - x48) + sqr(x65 - x73)) + 1/sqrt(sqr(x15 - x24) + sqr(x40 - x49) + sqr(x65 - x74)) + 1/sqrt(sqr(x15 - x25) + sqr(x40 - x50) + sqr(x65 - x75)) + 1/sqrt( sqr(x16 - x17) + sqr(x41 - x42) + sqr(x66 - x67)) + 1/sqrt(sqr(x16 - x18) + sqr(x41 - x43) + sqr(x66 - x68)) + 1/sqrt(sqr(x16 - x19) + sqr(x41 - x44) + sqr(x66 - x69)) + 1/sqrt(sqr(x16 - x20) + sqr(x41 - x45) + sqr(x66 - x70)) + 1/sqrt(sqr(x16 - x21) + sqr(x41 - x46) + sqr(x66 - x71)) + 1/ sqrt(sqr(x16 - x22) + sqr(x41 - x47) + sqr(x66 - x72)) + 1/sqrt(sqr(x16 - x23) + sqr(x41 - x48) + sqr(x66 - x73)) + 1/sqrt(sqr(x16 - x24) + sqr(x41 - x49) + sqr(x66 - x74)) + 1/sqrt(sqr(x16 - x25) + sqr(x41 - x50) + sqr( x66 - x75)) + 1/sqrt(sqr(x17 - x18) + sqr(x42 - x43) + sqr(x67 - x68)) + 1 /sqrt(sqr(x17 - x19) + sqr(x42 - x44) + sqr(x67 - x69)) + 1/sqrt(sqr(x17 - x20) + sqr(x42 - x45) + sqr(x67 - x70)) + 1/sqrt(sqr(x17 - x21) + sqr( x42 - x46) + sqr(x67 - x71)) + 1/sqrt(sqr(x17 - x22) + sqr(x42 - x47) + sqr(x67 - x72)) + 1/sqrt(sqr(x17 - x23) + sqr(x42 - x48) + sqr(x67 - x73)) + 1/sqrt(sqr(x17 - x24) + sqr(x42 - x49) + sqr(x67 - x74)) + 1/sqrt(sqr( x17 - x25) + sqr(x42 - x50) + sqr(x67 - x75)) + 1/sqrt(sqr(x18 - x19) + sqr(x43 - x44) + sqr(x68 - x69)) + 1/sqrt(sqr(x18 - x20) + sqr(x43 - x45) + sqr(x68 - x70)) + 1/sqrt(sqr(x18 - x21) + sqr(x43 - x46) + sqr(x68 - x71)) + 1/sqrt(sqr(x18 - x22) + sqr(x43 - x47) + sqr(x68 - x72)) + 1/sqrt( sqr(x18 - x23) + sqr(x43 - x48) + sqr(x68 - x73)) + 1/sqrt(sqr(x18 - x24) + sqr(x43 - x49) + sqr(x68 - x74)) + 1/sqrt(sqr(x18 - x25) + sqr(x43 - x50) + sqr(x68 - x75)) + 1/sqrt(sqr(x19 - x20) + sqr(x44 - x45) + sqr(x69 - x70)) + 1/sqrt(sqr(x19 - x21) + sqr(x44 - x46) + sqr(x69 - x71)) + 1/ sqrt(sqr(x19 - x22) + sqr(x44 - x47) + sqr(x69 - x72)) + 1/sqrt(sqr(x19 - x23) + sqr(x44 - x48) + sqr(x69 - x73)) + 1/sqrt(sqr(x19 - x24) + sqr(x44 - x49) + sqr(x69 - x74)) + 1/sqrt(sqr(x19 - x25) + sqr(x44 - x50) + sqr( x69 - x75)) + 1/sqrt(sqr(x20 - x21) + sqr(x45 - x46) + sqr(x70 - x71)) + 1 /sqrt(sqr(x20 - x22) + sqr(x45 - x47) + sqr(x70 - x72)) + 1/sqrt(sqr(x20 - x23) + sqr(x45 - x48) + sqr(x70 - x73)) + 1/sqrt(sqr(x20 - x24) + sqr( x45 - x49) + sqr(x70 - x74)) + 1/sqrt(sqr(x20 - x25) + sqr(x45 - x50) + sqr(x70 - x75)) + 1/sqrt(sqr(x21 - x22) + sqr(x46 - x47) + sqr(x71 - x72)) + 1/sqrt(sqr(x21 - x23) + sqr(x46 - x48) + sqr(x71 - x73)) + 1/sqrt(sqr( x21 - x24) + sqr(x46 - x49) + sqr(x71 - x74)) + 1/sqrt(sqr(x21 - x25) + sqr(x46 - x50) + sqr(x71 - x75)) + 1/sqrt(sqr(x22 - x23) + sqr(x47 - x48) + sqr(x72 - x73)) + 1/sqrt(sqr(x22 - x24) + sqr(x47 - x49) + sqr(x72 - x74)) + 1/sqrt(sqr(x22 - x25) + sqr(x47 - x50) + sqr(x72 - x75)) + 1/sqrt( sqr(x23 - x24) + sqr(x48 - x49) + sqr(x73 - x74)) + 1/sqrt(sqr(x23 - x25) + sqr(x48 - x50) + sqr(x73 - x75)) + 1/sqrt(sqr(x24 - x25) + sqr(x49 - x50) + sqr(x74 - x75))) + objvar =E= 0; e2.. sqr(x1) + sqr(x26) + sqr(x51) =E= 1; e3.. sqr(x2) + sqr(x27) + sqr(x52) =E= 1; e4.. sqr(x3) + sqr(x28) + sqr(x53) =E= 1; e5.. sqr(x4) + sqr(x29) + sqr(x54) =E= 1; e6.. sqr(x5) + sqr(x30) + sqr(x55) =E= 1; e7.. sqr(x6) + sqr(x31) + sqr(x56) =E= 1; e8.. sqr(x7) + sqr(x32) + sqr(x57) =E= 1; e9.. sqr(x8) + sqr(x33) + sqr(x58) =E= 1; e10.. sqr(x9) + sqr(x34) + sqr(x59) =E= 1; e11.. sqr(x10) + sqr(x35) + sqr(x60) =E= 1; e12.. sqr(x11) + sqr(x36) + sqr(x61) =E= 1; e13.. sqr(x12) + sqr(x37) + sqr(x62) =E= 1; e14.. sqr(x13) + sqr(x38) + sqr(x63) =E= 1; e15.. sqr(x14) + sqr(x39) + sqr(x64) =E= 1; e16.. sqr(x15) + sqr(x40) + sqr(x65) =E= 1; e17.. sqr(x16) + sqr(x41) + sqr(x66) =E= 1; e18.. sqr(x17) + sqr(x42) + sqr(x67) =E= 1; e19.. sqr(x18) + sqr(x43) + sqr(x68) =E= 1; e20.. sqr(x19) + sqr(x44) + sqr(x69) =E= 1; e21.. sqr(x20) + sqr(x45) + sqr(x70) =E= 1; e22.. sqr(x21) + sqr(x46) + sqr(x71) =E= 1; e23.. sqr(x22) + sqr(x47) + sqr(x72) =E= 1; e24.. sqr(x23) + sqr(x48) + sqr(x73) =E= 1; e25.. sqr(x24) + sqr(x49) + sqr(x74) =E= 1; e26.. sqr(x25) + sqr(x50) + sqr(x75) =E= 1; * set non default bounds * set non default levels x1.l = 0.239180341590991; x2.l = 0.366795705695488; x3.l = -0.824393694345008; x4.l = -0.20445364152556; x5.l = -0.213822736723748; x6.l = 0.0552164684243268; x7.l = -0.586906863272324; x8.l = 0.298593602647523; x9.l = 0.355869249309419; x10.l = -0.739872584978883; x11.l = 0.781972693719759; x12.l = -0.842050067383099; x13.l = 0.763853183973836; x14.l = 0.0707385883845137; x15.l = 0.676966872258273; x16.l = -0.615239159391388; x17.l = 0.194562217624882; x18.l = -0.000422232856522465; x19.l = -0.0710616666815774; x20.l = -0.802987831773153; x21.l = -0.344305154696255; x22.l = -0.533805829063186; x23.l = 0.665382373979989; x24.l = 0.388420087049812; x25.l = -0.682029983840943; x26.l = 0.446611486489583; x27.l = -0.552573627870873; x28.l = -0.270012939754188; x29.l = 0.614265045675796; x30.l = 0.787195952709942; x31.l = 0.335681675744966; x32.l = 0.809619787722586; x33.l = -0.378664598119689; x34.l = 0.159642467758326; x35.l = -0.000979349466686923; x36.l = -0.00924905564272029; x37.l = -0.454232023429031; x38.l = -0.042600453543173; x39.l = -0.91720202046222; x40.l = 0.727211440768476; x41.l = -0.741026339314474; x42.l = 0.304537885768853; x43.l = 0.834446009909628; x44.l = -0.127224428134585; x45.l = 0.34535116139819; x46.l = 0.417792969107124; x47.l = 0.720899917808122; x48.l = 0.72200222898579; x49.l = 0.535334038601125; x50.l = -0.427520073559083; x51.l = -0.862166424962131; x52.l = 0.748413853469436; x53.l = -0.497461605643582; x54.l = -0.762152978166359; x55.l = 0.578448242539515; x56.l = 0.940355759371844; x57.l = -0.00749220741006433; x58.l = 0.876045080226371; x59.l = -0.920799304888955; x60.l = 0.672746310931013; x61.l = 0.623244062343463; x62.l = -0.290903683221246; x63.l = -0.643982542225292; x64.l = -0.392092470947082; x65.l = 0.113487330924153; x66.l = 0.268999518946722; x67.l = 0.932417406317752; x68.l = 0.551089537430458; x69.l = 0.989325115628965; x70.l = 0.485739762985462; x71.l = 0.840775234776954; x72.l = -0.441989417704098; x73.l = -0.189681516591112; x74.l = -0.750031534731191; x75.l = 0.593347864111736; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP minimizing objvar;