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3.gms

* NLP written by GAMS Convert at 07/27/06 09:09:54 * * Equation counts * Total E G L N X C * 5 1 0 4 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 44 44 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 89 5 84 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,objvar; Positive Variables x1; Equations e1,e2,e3,e4,e5; e1.. sqrt(sqr((-1) + x2 + x16 + x30) + 2*(sqr(x3 + x17 + x31) + sqr(x4 + x18 + x32) + sqr(x5 + x19 + x33) + sqr(x6 + x20 + x34) + sqr(x7 + x21 + x35) + sqr(x8 + x22 + x36) + sqr(x9 + x23 + x37) + sqr(x10 + x24 + x38) + sqr(x11 + x25 + x39) + sqr(x12 + x26 + x40) + sqr(x13 + x27 + x41) + sqr(x14 + x28 + x42) + sqr(x15 + x29 + x43))) =L= 0.01; e2.. sqrt(1.18567472558503e-16*x15*x14 - 0.0116434881329331*x15*x15 + 0.0126137788106776*x15*x13 + 0.00813468942424909*x15*x12 - 0.00850444803444212*x15*x11 - 0.0144157472122029*x15*x10 - 6.237074932031e-17*x15*x9 + 0.0159331942871717*x15*x8 + 0.0103943253754294 *x15*x7 - 0.0110057562798665*x15*x6 - 0.0189206682160164*x15*x5 - 6.237074932031e-17*x15*x4 + 0.0216236208183045*x15*x3 + 0.0143921428275173 *x15*x2 - 0.0155914880631439*x15*x3 - 0.0275209719505694*x15*x4 - 6.237074932031e-17*x15*x5 + 0.0336367434951403*x15*x6 + 0.023387232094716* x15*x7 - 0.0267282652511039*x15*x8 - 0.0504551152427105*x15*x9 - 6.237074932031e-17*x15*x10 + 0.0756826728640657*x15*x11 + 0.062365952252576*x15*x12 - 0.0935489283788639*x15*x13 - 0.302730691456263 *x15*x14 + 0.6*x15*x15 + 1.18567472558503e-16*x14*x15 + 0.0126137788106776 *x14*x14 + 0.00813468942424909*x14*x13 - 0.00850444803444212*x14*x12 - 0.0144157472122029*x14*x11 - 6.237074932031e-17*x14*x10 + 0.0159331942871717*x14*x9 + 0.0103943253754294*x14*x8 - 0.0110057562798665 *x14*x7 - 0.0189206682160164*x14*x6 - 6.237074932031e-17*x14*x5 + 0.0216236208183045*x14*x4 + 0.0143921428275173*x14*x3 - 0.0155914880631439 *x14*x2 - 0.0275209719505694*x14*x3 - 6.237074932031e-17*x14*x4 + 0.0336367434951403*x14*x5 + 0.023387232094716*x14*x6 - 0.0267282652511039* x14*x7 - 0.0504551152427105*x14*x8 - 6.237074932031e-17*x14*x9 + 0.0756826728640657*x14*x10 + 0.062365952252576*x14*x11 - 0.0935489283788639*x14*x12 - 0.302730691456263*x14*x13 + 0.6*x14*x14 - 0.302730691456263*x14*x15 + 0.0126137788106776*x13*x15 + 0.00813468942424909*x13*x14 - 0.00850444803444212*x13*x13 - 0.0144157472122029*x13*x12 - 6.237074932031e-17*x13*x11 + 0.0159331942871717*x13*x10 + 0.0103943253754294*x13*x9 - 0.0110057562798665*x13*x8 - 0.0189206682160164*x13*x7 - 6.237074932031e-17 *x13*x6 + 0.0216236208183045*x13*x5 + 0.0143921428275173*x13*x4 - 0.0155914880631439*x13*x3 - 0.0275209719505694*x13*x2 - 6.237074932031e-17 *x13*x3 + 0.0336367434951403*x13*x4 + 0.023387232094716*x13*x5 - 0.0267282652511039*x13*x6 - 0.0504551152427105*x13*x7 - 6.237074932031e-17 *x13*x8 + 0.0756826728640657*x13*x9 + 0.062365952252576*x13*x10 - 0.0935489283788639*x13*x11 - 0.302730691456263*x13*x12 + 0.6*x13*x13 - 0.302730691456263*x13*x14 - 0.0935489283788639*x13*x15 + 0.00813468942424909*x12*x15 - 0.00850444803444212*x12*x14 - 0.0144157472122029*x12*x13 - 6.237074932031e-17*x12*x12 + 0.0159331942871717*x12*x11 + 0.0103943253754294*x12*x10 - 0.0110057562798665*x12*x9 - 0.0189206682160164*x12*x8 - 6.237074932031e-17 *x12*x7 + 0.0216236208183045*x12*x6 + 0.0143921428275173*x12*x5 - 0.0155914880631439*x12*x4 - 0.0275209719505694*x12*x3 - 6.237074932031e-17 *x12*x2 + 0.0336367434951403*x12*x3 + 0.023387232094716*x12*x4 - 0.0267282652511039*x12*x5 - 0.0504551152427105*x12*x6 - 6.237074932031e-17 *x12*x7 + 0.0756826728640657*x12*x8 + 0.062365952252576*x12*x9 - 0.0935489283788639*x12*x10 - 0.302730691456263*x12*x11 + 0.6*x12*x12 - 0.302730691456263*x12*x13 - 0.0935489283788639*x12*x14 + 0.062365952252576 *x12*x15 - 0.00850444803444212*x11*x15 - 0.0144157472122029*x11*x14 - 6.237074932031e-17*x11*x13 + 0.0159331942871717*x11*x12 + 0.0103943253754294*x11*x11 - 0.0110057562798665*x11*x10 - 0.0189206682160164*x11*x9 - 6.237074932031e-17*x11*x8 + 0.0216236208183045 *x11*x7 + 0.0143921428275173*x11*x6 - 0.0155914880631439*x11*x5 - 0.0275209719505694*x11*x4 - 6.237074932031e-17*x11*x3 + 0.0336367434951403 *x11*x2 + 0.023387232094716*x11*x3 - 0.0267282652511039*x11*x4 - 0.0504551152427105*x11*x5 - 6.237074932031e-17*x11*x6 + 0.0756826728640657 *x11*x7 + 0.062365952252576*x11*x8 - 0.0935489283788639*x11*x9 - 0.302730691456263*x11*x10 + 0.6*x11*x11 - 0.302730691456263*x11*x12 - 0.0935489283788639*x11*x13 + 0.062365952252576*x11*x14 + 0.0756826728640657*x11*x15 - 0.0144157472122029*x10*x15 - 6.237074932031e-17*x10*x14 + 0.0159331942871717*x10*x13 + 0.0103943253754294*x10*x12 - 0.0110057562798665*x10*x11 - 0.0189206682160164*x10*x10 - 6.237074932031e-17*x10*x9 + 0.0216236208183045*x10*x8 + 0.0143921428275173*x10*x7 - 0.0155914880631439 *x10*x6 - 0.0275209719505694*x10*x5 - 6.237074932031e-17*x10*x4 + 0.0336367434951403*x10*x3 + 0.023387232094716*x10*x2 - 0.0267282652511039* x10*x3 - 0.0504551152427105*x10*x4 - 6.237074932031e-17*x10*x5 + 0.0756826728640657*x10*x6 + 0.062365952252576*x10*x7 - 0.0935489283788639* x10*x8 - 0.302730691456263*x10*x9 + 0.6*x10*x10 - 0.302730691456263*x10* x11 - 0.0935489283788639*x10*x12 + 0.062365952252576*x10*x13 + 0.0756826728640657*x10*x14 - 6.237074932031e-17*x10*x15 - 6.237074932031e-17*x9*x15 + 0.0159331942871717*x9*x14 + 0.0103943253754294 *x9*x13 - 0.0110057562798665*x9*x12 - 0.0189206682160164*x9*x11 - 6.237074932031e-17*x9*x10 + 0.0216236208183045*x9*x9 + 0.0143921428275173* x9*x8 - 0.0155914880631439*x9*x7 - 0.0275209719505694*x9*x6 - 6.237074932031e-17*x9*x5 + 0.0336367434951403*x9*x4 + 0.023387232094716*x9 *x3 - 0.0267282652511039*x9*x2 - 0.0504551152427105*x9*x3 - 6.237074932031e-17*x9*x4 + 0.0756826728640657*x9*x5 + 0.062365952252576*x9 *x6 - 0.0935489283788639*x9*x7 - 0.302730691456263*x9*x8 + 0.6*x9*x9 - 0.302730691456263*x9*x10 - 0.0935489283788639*x9*x11 + 0.062365952252576* x9*x12 + 0.0756826728640657*x9*x13 - 6.237074932031e-17*x9*x14 - 0.0504551152427105*x9*x15 + 0.0159331942871717*x8*x15 + 0.0103943253754294 *x8*x14 - 0.0110057562798665*x8*x13 - 0.0189206682160164*x8*x12 - 6.237074932031e-17*x8*x11 + 0.0216236208183045*x8*x10 + 0.0143921428275173 *x8*x9 - 0.0155914880631439*x8*x8 - 0.0275209719505694*x8*x7 - 6.237074932031e-17*x8*x6 + 0.0336367434951403*x8*x5 + 0.023387232094716*x8 *x4 - 0.0267282652511039*x8*x3 - 0.0504551152427105*x8*x2 - 6.237074932031e-17*x8*x3 + 0.0756826728640657*x8*x4 + 0.062365952252576*x8 *x5 - 0.0935489283788639*x8*x6 - 0.302730691456263*x8*x7 + 0.6*x8*x8 - 0.302730691456263*x8*x9 - 0.0935489283788639*x8*x10 + 0.062365952252576*x8 *x11 + 0.0756826728640657*x8*x12 - 6.237074932031e-17*x8*x13 - 0.0504551152427105*x8*x14 - 0.0267282652511039*x8*x15 + 0.0103943253754294 *x7*x15 - 0.0110057562798665*x7*x14 - 0.0189206682160164*x7*x13 - 6.237074932031e-17*x7*x12 + 0.0216236208183045*x7*x11 + 0.0143921428275173 *x7*x10 - 0.0155914880631439*x7*x9 - 0.0275209719505694*x7*x8 - 6.237074932031e-17*x7*x7 + 0.0336367434951403*x7*x6 + 0.023387232094716*x7 *x5 - 0.0267282652511039*x7*x4 - 0.0504551152427105*x7*x3 - 6.237074932031e-17*x7*x2 + 0.0756826728640657*x7*x3 + 0.062365952252576*x7 *x4 - 0.0935489283788639*x7*x5 - 0.302730691456263*x7*x6 + 0.6*x7*x7 - 0.302730691456263*x7*x8 - 0.0935489283788639*x7*x9 + 0.062365952252576*x7* x10 + 0.0756826728640657*x7*x11 - 6.237074932031e-17*x7*x12 - 0.0504551152427105*x7*x13 - 0.0267282652511039*x7*x14 + 0.023387232094716* x7*x15 - 0.0110057562798665*x6*x15 - 0.0189206682160164*x6*x14 - 6.237074932031e-17*x6*x13 + 0.0216236208183045*x6*x12 + 0.0143921428275173 *x6*x11 - 0.0155914880631439*x6*x10 - 0.0275209719505694*x6*x9 - 6.237074932031e-17*x6*x8 + 0.0336367434951403*x6*x7 + 0.023387232094716*x6 *x6 - 0.0267282652511039*x6*x5 - 0.0504551152427105*x6*x4 - 6.237074932031e-17*x6*x3 + 0.0756826728640657*x6*x2 + 0.062365952252576*x6 *x3 - 0.0935489283788639*x6*x4 - 0.302730691456263*x6*x5 + 0.6*x6*x6 - 0.302730691456263*x6*x7 - 0.0935489283788639*x6*x8 + 0.062365952252576*x6* x9 + 0.0756826728640657*x6*x10 - 6.237074932031e-17*x6*x11 - 0.0504551152427105*x6*x12 - 0.0267282652511039*x6*x13 + 0.023387232094716* x6*x14 + 0.0336367434951403*x6*x15 - 0.0189206682160164*x5*x15 - 6.237074932031e-17*x5*x14 + 0.0216236208183045*x5*x13 + 0.0143921428275173 *x5*x12 - 0.0155914880631439*x5*x11 - 0.0275209719505694*x5*x10 - 6.237074932031e-17*x5*x9 + 0.0336367434951403*x5*x8 + 0.023387232094716*x5 *x7 - 0.0267282652511039*x5*x6 - 0.0504551152427105*x5*x5 - 6.237074932031e-17*x5*x4 + 0.0756826728640657*x5*x3 + 0.062365952252576*x5 *x2 - 0.0935489283788639*x5*x3 - 0.302730691456263*x5*x4 + 0.6*x5*x5 - 0.302730691456263*x5*x6 - 0.0935489283788639*x5*x7 + 0.062365952252576*x5* x8 + 0.0756826728640657*x5*x9 - 6.237074932031e-17*x5*x10 - 0.0504551152427105*x5*x11 - 0.0267282652511039*x5*x12 + 0.023387232094716* x5*x13 + 0.0336367434951403*x5*x14 - 6.237074932031e-17*x5*x15 - 6.237074932031e-17*x4*x15 + 0.0216236208183045*x4*x14 + 0.0143921428275173 *x4*x13 - 0.0155914880631439*x4*x12 - 0.0275209719505694*x4*x11 - 6.237074932031e-17*x4*x10 + 0.0336367434951403*x4*x9 + 0.023387232094716* x4*x8 - 0.0267282652511039*x4*x7 - 0.0504551152427105*x4*x6 - 6.237074932031e-17*x4*x5 + 0.0756826728640657*x4*x4 + 0.062365952252576*x4 *x3 - 0.0935489283788639*x4*x2 - 0.302730691456263*x4*x3 + 0.6*x4*x4 - 0.302730691456263*x4*x5 - 0.0935489283788639*x4*x6 + 0.062365952252576*x4* x7 + 0.0756826728640657*x4*x8 - 6.237074932031e-17*x4*x9 - 0.0504551152427105*x4*x10 - 0.0267282652511039*x4*x11 + 0.023387232094716* x4*x12 + 0.0336367434951403*x4*x13 - 6.237074932031e-17*x4*x14 - 0.0275209719505694*x4*x15 + 0.0216236208183045*x3*x15 + 0.0143921428275173 *x3*x14 - 0.0155914880631439*x3*x13 - 0.0275209719505694*x3*x12 - 6.237074932031e-17*x3*x11 + 0.0336367434951403*x3*x10 + 0.023387232094716* x3*x9 - 0.0267282652511039*x3*x8 - 0.0504551152427105*x3*x7 - 6.237074932031e-17*x3*x6 + 0.0756826728640657*x3*x5 + 0.062365952252576*x3 *x4 - 0.0935489283788639*x3*x3 - 0.302730691456263*x3*x2 + 0.6*x3*x3 - 0.302730691456263*x3*x4 - 0.0935489283788639*x3*x5 + 0.062365952252576*x3* x6 + 0.0756826728640657*x3*x7 - 6.237074932031e-17*x3*x8 - 0.0504551152427105*x3*x9 - 0.0267282652511039*x3*x10 + 0.023387232094716* x3*x11 + 0.0336367434951403*x3*x12 - 6.237074932031e-17*x3*x13 - 0.0275209719505694*x3*x14 - 0.0155914880631439*x3*x15 + 0.0143921428275173 *x2*x15 - 0.0155914880631439*x2*x14 - 0.0275209719505694*x2*x13 - 6.237074932031e-17*x2*x12 + 0.0336367434951403*x2*x11 + 0.023387232094716* x2*x10 - 0.0267282652511039*x2*x9 - 0.0504551152427105*x2*x8 - 6.237074932031e-17*x2*x7 + 0.0756826728640657*x2*x6 + 0.062365952252576*x2 *x5 - 0.0935489283788639*x2*x4 - 0.302730691456263*x2*x3 + 0.6*x2*x2 - 0.302730691456263*x2*x3 - 0.0935489283788639*x2*x4 + 0.062365952252576*x2* x5 + 0.0756826728640657*x2*x6 - 6.237074932031e-17*x2*x7 - 0.0504551152427105*x2*x8 - 0.0267282652511039*x2*x9 + 0.023387232094716*x2 *x10 + 0.0336367434951403*x2*x11 - 6.237074932031e-17*x2*x12 - 0.0275209719505694*x2*x13 - 0.0155914880631439*x2*x14 + 0.0143921428275173 *x2*x15 - 0.0155914880631439*x3*x15 - 0.0275209719505694*x3*x14 - 6.237074932031e-17*x3*x13 + 0.0336367434951403*x3*x12 + 0.023387232094716* x3*x11 - 0.0267282652511039*x3*x10 - 0.0504551152427105*x3*x9 - 6.237074932031e-17*x3*x8 + 0.0756826728640657*x3*x7 + 0.062365952252576*x3 *x6 - 0.0935489283788639*x3*x5 - 0.302730691456263*x3*x4 + 0.6*x3*x3 - 0.302730691456263*x3*x2 - 0.0935489283788639*x3*x3 + 0.062365952252576*x3* x4 + 0.0756826728640657*x3*x5 - 6.237074932031e-17*x3*x6 - 0.0504551152427105*x3*x7 - 0.0267282652511039*x3*x8 + 0.023387232094716*x3 *x9 + 0.0336367434951403*x3*x10 - 6.237074932031e-17*x3*x11 - 0.0275209719505694*x3*x12 - 0.0155914880631439*x3*x13 + 0.0143921428275173 *x3*x14 + 0.0216236208183045*x3*x15 - 0.0275209719505694*x4*x15 - 6.237074932031e-17*x4*x14 + 0.0336367434951403*x4*x13 + 0.023387232094716* x4*x12 - 0.0267282652511039*x4*x11 - 0.0504551152427105*x4*x10 - 6.237074932031e-17*x4*x9 + 0.0756826728640657*x4*x8 + 0.062365952252576*x4 *x7 - 0.0935489283788639*x4*x6 - 0.302730691456263*x4*x5 + 0.6*x4*x4 - 0.302730691456263*x4*x3 - 0.0935489283788639*x4*x2 + 0.062365952252576*x4* x3 + 0.0756826728640657*x4*x4 - 6.237074932031e-17*x4*x5 - 0.0504551152427105*x4*x6 - 0.0267282652511039*x4*x7 + 0.023387232094716*x4 *x8 + 0.0336367434951403*x4*x9 - 6.237074932031e-17*x4*x10 - 0.0275209719505694*x4*x11 - 0.0155914880631439*x4*x12 + 0.0143921428275173 *x4*x13 + 0.0216236208183045*x4*x14 - 6.237074932031e-17*x4*x15 - 6.237074932031e-17*x5*x15 + 0.0336367434951403*x5*x14 + 0.023387232094716* x5*x13 - 0.0267282652511039*x5*x12 - 0.0504551152427105*x5*x11 - 6.237074932031e-17*x5*x10 + 0.0756826728640657*x5*x9 + 0.062365952252576* x5*x8 - 0.0935489283788639*x5*x7 - 0.302730691456263*x5*x6 + 0.6*x5*x5 - 0.302730691456263*x5*x4 - 0.0935489283788639*x5*x3 + 0.062365952252576*x5* x2 + 0.0756826728640657*x5*x3 - 6.237074932031e-17*x5*x4 - 0.0504551152427105*x5*x5 - 0.0267282652511039*x5*x6 + 0.023387232094716*x5 *x7 + 0.0336367434951403*x5*x8 - 6.237074932031e-17*x5*x9 - 0.0275209719505694*x5*x10 - 0.0155914880631439*x5*x11 + 0.0143921428275173 *x5*x12 + 0.0216236208183045*x5*x13 - 6.237074932031e-17*x5*x14 - 0.0189206682160164*x5*x15 + 0.0336367434951403*x6*x15 + 0.023387232094716* x6*x14 - 0.0267282652511039*x6*x13 - 0.0504551152427105*x6*x12 - 6.237074932031e-17*x6*x11 + 0.0756826728640657*x6*x10 + 0.062365952252576* x6*x9 - 0.0935489283788639*x6*x8 - 0.302730691456263*x6*x7 + 0.6*x6*x6 - 0.302730691456263*x6*x5 - 0.0935489283788639*x6*x4 + 0.062365952252576*x6* x3 + 0.0756826728640657*x6*x2 - 6.237074932031e-17*x6*x3 - 0.0504551152427105*x6*x4 - 0.0267282652511039*x6*x5 + 0.023387232094716*x6 *x6 + 0.0336367434951403*x6*x7 - 6.237074932031e-17*x6*x8 - 0.0275209719505694*x6*x9 - 0.0155914880631439*x6*x10 + 0.0143921428275173* x6*x11 + 0.0216236208183045*x6*x12 - 6.237074932031e-17*x6*x13 - 0.0189206682160164*x6*x14 - 0.0110057562798665*x6*x15 + 0.023387232094716* x7*x15 - 0.0267282652511039*x7*x14 - 0.0504551152427105*x7*x13 - 6.237074932031e-17*x7*x12 + 0.0756826728640657*x7*x11 + 0.062365952252576* x7*x10 - 0.0935489283788639*x7*x9 - 0.302730691456263*x7*x8 + 0.6*x7*x7 - 0.302730691456263*x7*x6 - 0.0935489283788639*x7*x5 + 0.062365952252576*x7* x4 + 0.0756826728640657*x7*x3 - 6.237074932031e-17*x7*x2 - 0.0504551152427105*x7*x3 - 0.0267282652511039*x7*x4 + 0.023387232094716*x7 *x5 + 0.0336367434951403*x7*x6 - 6.237074932031e-17*x7*x7 - 0.0275209719505694*x7*x8 - 0.0155914880631439*x7*x9 + 0.0143921428275173* x7*x10 + 0.0216236208183045*x7*x11 - 6.237074932031e-17*x7*x12 - 0.0189206682160164*x7*x13 - 0.0110057562798665*x7*x14 + 0.0103943253754294 *x7*x15 - 0.0267282652511039*x8*x15 - 0.0504551152427105*x8*x14 - 6.237074932031e-17*x8*x13 + 0.0756826728640657*x8*x12 + 0.062365952252576* x8*x11 - 0.0935489283788639*x8*x10 - 0.302730691456263*x8*x9 + 0.6*x8*x8 - 0.302730691456263*x8*x7 - 0.0935489283788639*x8*x6 + 0.062365952252576* x8*x5 + 0.0756826728640657*x8*x4 - 6.237074932031e-17*x8*x3 - 0.0504551152427105*x8*x2 - 0.0267282652511039*x8*x3 + 0.023387232094716*x8 *x4 + 0.0336367434951403*x8*x5 - 6.237074932031e-17*x8*x6 - 0.0275209719505694*x8*x7 - 0.0155914880631439*x8*x8 + 0.0143921428275173* x8*x9 + 0.0216236208183045*x8*x10 - 6.237074932031e-17*x8*x11 - 0.0189206682160164*x8*x12 - 0.0110057562798665*x8*x13 + 0.0103943253754294 *x8*x14 + 0.0159331942871717*x8*x15 - 0.0504551152427105*x9*x15 - 6.237074932031e-17*x9*x14 + 0.0756826728640657*x9*x13 + 0.062365952252576* x9*x12 - 0.0935489283788639*x9*x11 - 0.302730691456263*x9*x10 + 0.6*x9*x9 - 0.302730691456263*x9*x8 - 0.0935489283788639*x9*x7 + 0.062365952252576* x9*x6 + 0.0756826728640657*x9*x5 - 6.237074932031e-17*x9*x4 - 0.0504551152427105*x9*x3 - 0.0267282652511039*x9*x2 + 0.023387232094716*x9 *x3 + 0.0336367434951403*x9*x4 - 6.237074932031e-17*x9*x5 - 0.0275209719505694*x9*x6 - 0.0155914880631439*x9*x7 + 0.0143921428275173* x9*x8 + 0.0216236208183045*x9*x9 - 6.237074932031e-17*x9*x10 - 0.0189206682160164*x9*x11 - 0.0110057562798665*x9*x12 + 0.0103943253754294 *x9*x13 + 0.0159331942871717*x9*x14 - 6.237074932031e-17*x9*x15 - 6.237074932031e-17*x10*x15 + 0.0756826728640657*x10*x14 + 0.062365952252576*x10*x13 - 0.0935489283788639*x10*x12 - 0.302730691456263 *x10*x11 + 0.6*x10*x10 - 0.302730691456263*x10*x9 - 0.0935489283788639*x10 *x8 + 0.062365952252576*x10*x7 + 0.0756826728640657*x10*x6 - 6.237074932031e-17*x10*x5 - 0.0504551152427105*x10*x4 - 0.0267282652511039 *x10*x3 + 0.023387232094716*x10*x2 + 0.0336367434951403*x10*x3 - 6.237074932031e-17*x10*x4 - 0.0275209719505694*x10*x5 - 0.0155914880631439 *x10*x6 + 0.0143921428275173*x10*x7 + 0.0216236208183045*x10*x8 - 6.237074932031e-17*x10*x9 - 0.0189206682160164*x10*x10 - 0.0110057562798665*x10*x11 + 0.0103943253754294*x10*x12 + 0.0159331942871717*x10*x13 - 6.237074932031e-17*x10*x14 - 0.0144157472122029*x10*x15 + 0.0756826728640657*x11*x15 + 0.062365952252576*x11*x14 - 0.0935489283788639*x11*x13 - 0.302730691456263 *x11*x12 + 0.6*x11*x11 - 0.302730691456263*x11*x10 - 0.0935489283788639* x11*x9 + 0.062365952252576*x11*x8 + 0.0756826728640657*x11*x7 - 6.237074932031e-17*x11*x6 - 0.0504551152427105*x11*x5 - 0.0267282652511039 *x11*x4 + 0.023387232094716*x11*x3 + 0.0336367434951403*x11*x2 - 6.237074932031e-17*x11*x3 - 0.0275209719505694*x11*x4 - 0.0155914880631439 *x11*x5 + 0.0143921428275173*x11*x6 + 0.0216236208183045*x11*x7 - 6.237074932031e-17*x11*x8 - 0.0189206682160164*x11*x9 - 0.0110057562798665 *x11*x10 + 0.0103943253754294*x11*x11 + 0.0159331942871717*x11*x12 - 6.237074932031e-17*x11*x13 - 0.0144157472122029*x11*x14 - 0.00850444803444212*x11*x15 + 0.062365952252576*x12*x15 - 0.0935489283788639*x12*x14 - 0.302730691456263*x12*x13 + 0.6*x12*x12 - 0.302730691456263*x12*x11 - 0.0935489283788639*x12*x10 + 0.062365952252576 *x12*x9 + 0.0756826728640657*x12*x8 - 6.237074932031e-17*x12*x7 - 0.0504551152427105*x12*x6 - 0.0267282652511039*x12*x5 + 0.023387232094716* x12*x4 + 0.0336367434951403*x12*x3 - 6.237074932031e-17*x12*x2 - 0.0275209719505694*x12*x3 - 0.0155914880631439*x12*x4 + 0.0143921428275173 *x12*x5 + 0.0216236208183045*x12*x6 - 6.237074932031e-17*x12*x7 - 0.0189206682160164*x12*x8 - 0.0110057562798665*x12*x9 + 0.0103943253754294 *x12*x10 + 0.0159331942871717*x12*x11 - 6.237074932031e-17*x12*x12 - 0.0144157472122029*x12*x13 - 0.00850444803444212*x12*x14 + 0.00813468942424909*x12*x15 - 0.0935489283788639*x13*x15 - 0.302730691456263*x13*x14 + 0.6*x13*x13 - 0.302730691456263*x13*x12 - 0.0935489283788639*x13*x11 + 0.062365952252576*x13*x10 + 0.0756826728640657*x13*x9 - 6.237074932031e-17*x13*x8 - 0.0504551152427105 *x13*x7 - 0.0267282652511039*x13*x6 + 0.023387232094716*x13*x5 + 0.0336367434951403*x13*x4 - 6.237074932031e-17*x13*x3 - 0.0275209719505694 *x13*x2 - 0.0155914880631439*x13*x3 + 0.0143921428275173*x13*x4 + 0.0216236208183045*x13*x5 - 6.237074932031e-17*x13*x6 - 0.0189206682160164 *x13*x7 - 0.0110057562798665*x13*x8 + 0.0103943253754294*x13*x9 + 0.0159331942871717*x13*x10 - 6.237074932031e-17*x13*x11 - 0.0144157472122029*x13*x12 - 0.00850444803444212*x13*x13 + 0.00813468942424909*x13*x14 + 0.0126137788106776*x13*x15 - 0.302730691456263*x14*x15 + 0.6*x14*x14 - 0.302730691456263*x14*x13 - 0.0935489283788639*x14*x12 + 0.062365952252576*x14*x11 + 0.0756826728640657*x14*x10 - 6.237074932031e-17*x14*x9 - 0.0504551152427105*x14*x8 - 0.0267282652511039*x14*x7 + 0.023387232094716* x14*x6 + 0.0336367434951403*x14*x5 - 6.237074932031e-17*x14*x4 - 0.0275209719505694*x14*x3 - 0.0155914880631439*x14*x2 + 0.0143921428275173 *x14*x3 + 0.0216236208183045*x14*x4 - 6.237074932031e-17*x14*x5 - 0.0189206682160164*x14*x6 - 0.0110057562798665*x14*x7 + 0.0103943253754294 *x14*x8 + 0.0159331942871717*x14*x9 - 6.237074932031e-17*x14*x10 - 0.0144157472122029*x14*x11 - 0.00850444803444212*x14*x12 + 0.00813468942424909*x14*x13 + 0.0126137788106776*x14*x14 + 1.18567472558503e-16*x14*x15 + 0.6*x15*x15 - 0.302730691456263*x15*x14 - 0.0935489283788639*x15*x13 + 0.062365952252576*x15*x12 + 0.0756826728640657*x15*x11 - 6.237074932031e-17*x15*x10 - 0.0504551152427105*x15*x9 - 0.0267282652511039*x15*x8 + 0.023387232094716* x15*x7 + 0.0336367434951403*x15*x6 - 6.237074932031e-17*x15*x5 - 0.0275209719505694*x15*x4 - 0.0155914880631439*x15*x3 + 0.0143921428275173 *x15*x2 + 0.0216236208183045*x15*x3 - 6.237074932031e-17*x15*x4 - 0.0189206682160164*x15*x5 - 0.0110057562798665*x15*x6 + 0.0103943253754294 *x15*x7 + 0.0159331942871717*x15*x8 - 6.237074932031e-17*x15*x9 - 0.0144157472122029*x15*x10 - 0.00850444803444212*x15*x11 + 0.00813468942424909*x15*x12 + 0.0126137788106776*x15*x13 + 1.18567472558503e-16*x15*x14 - 0.0116434881329331*x15*x15) - 0.774596669241483*x1 =L= 0; e3.. sqrt(2.88701148793613e-17*x29*x28 - 0.0143921428275175*x29*x29 + 0.015591488063144*x29*x27 - 4.33680868994202e-17*x29*x26 + 0.0275209719505693*x29*x25 - 3.29597460435593e-17*x29*x24 - 5.45744056552713e-17*x29*x23 + 1.26634813746307e-16*x29*x22 - 0.0336367434951403*x29*x21 + 1.73472347597681e-17*x29*x20 - 0.0233872320947159*x29*x19 - 1.89763569890872e-16*x29*x18 + 0.026728265251104*x29*x17 - 2.77555756156289e-17*x29*x16 + 0.0504551152427105*x29*x17 + 1.97758476261356e-16*x29*x18 - 5.45744056552713e-17*x29*x19 + 3.12250225675825e-17*x29*x20 - 0.0756826728640657*x29*x21 - 1.38777878078145e-17*x29*x22 - 0.0623659522525759*x29*x23 - 3.89817183251937e-17*x29*x24 + 0.093548928378864*x29*x25 - 1.38777878078145e-17*x29*x26 + 0.302730691456263*x29*x27 + 2.77555756156289e-17*x29*x28 + 0.4*x29*x29 + 2.88701148793613e-17*x28*x29 + 0.015591488063144*x28*x28 - 4.33680868994202e-17*x28*x27 + 0.0275209719505693*x28*x26 - 3.29597460435593e-17*x28*x25 - 5.45744056552713e-17*x28*x24 + 1.26634813746307e-16*x28*x23 - 0.0336367434951403*x28*x22 + 1.73472347597681e-17*x28*x21 - 0.0233872320947159*x28*x20 - 1.89763569890872e-16*x28*x19 + 0.026728265251104*x28*x18 - 2.77555756156289e-17*x28*x17 + 0.0504551152427105*x28*x16 + 1.97758476261356e-16*x28*x17 - 5.45744056552713e-17*x28*x18 + 3.12250225675825e-17*x28*x19 - 0.0756826728640657*x28*x20 - 1.38777878078145e-17*x28*x21 - 0.0623659522525759*x28*x22 - 3.89817183251937e-17*x28*x23 + 0.093548928378864*x28*x24 - 1.38777878078145e-17*x28*x25 + 0.302730691456263*x28*x26 + 2.77555756156289e-17*x28*x27 + 0.4*x28*x28 + 2.77555756156289e-17*x28*x29 + 0.015591488063144*x27*x29 - 4.33680868994202e-17*x27*x28 + 0.0275209719505693*x27*x27 - 3.29597460435593e-17*x27*x26 - 5.45744056552713e-17*x27*x25 + 1.26634813746307e-16*x27*x24 - 0.0336367434951403*x27*x23 + 1.73472347597681e-17*x27*x22 - 0.0233872320947159*x27*x21 - 1.89763569890872e-16*x27*x20 + 0.026728265251104*x27*x19 - 2.77555756156289e-17*x27*x18 + 0.0504551152427105*x27*x17 + 1.97758476261356e-16*x27*x16 - 5.45744056552713e-17*x27*x17 + 3.12250225675825e-17*x27*x18 - 0.0756826728640657*x27*x19 - 1.38777878078145e-17*x27*x20 - 0.0623659522525759*x27*x21 - 3.89817183251937e-17*x27*x22 + 0.093548928378864*x27*x23 - 1.38777878078145e-17*x27*x24 + 0.302730691456263*x27*x25 + 2.77555756156289e-17*x27*x26 + 0.4*x27*x27 + 2.77555756156289e-17*x27*x28 + 0.302730691456263*x27*x29 - 4.33680868994202e-17*x26*x29 + 0.0275209719505693*x26*x28 - 3.29597460435593e-17*x26*x27 - 5.45744056552713e-17*x26*x26 + 1.26634813746307e-16*x26*x25 - 0.0336367434951403*x26*x24 + 1.73472347597681e-17*x26*x23 - 0.0233872320947159*x26*x22 - 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2.77555756156289e-17*x25*x20 + 0.026728265251104*x25*x21 - 1.89763569890872e-16*x25*x22 - 0.0233872320947159*x25*x23 + 1.73472347597681e-17*x25*x24 - 0.0336367434951403*x25*x25 + 1.26634813746307e-16*x25*x26 - 5.45744056552713e-17*x25*x27 - 3.29597460435593e-17*x25*x28 + 0.0275209719505693*x25*x29 - 1.38777878078145e-17*x26*x29 + 0.302730691456263*x26*x28 + 2.77555756156289e-17*x26*x27 + 0.4*x26*x26 + 2.77555756156289e-17*x26*x25 + 0.302730691456263*x26*x24 - 1.38777878078145e-17*x26*x23 + 0.093548928378864*x26*x22 - 3.89817183251937e-17*x26*x21 - 0.0623659522525759*x26*x20 - 1.38777878078145e-17*x26*x19 - 0.0756826728640657*x26*x18 + 3.12250225675825e-17*x26*x17 - 5.45744056552713e-17*x26*x16 + 1.97758476261356e-16*x26*x17 + 0.0504551152427105*x26*x18 - 2.77555756156289e-17*x26*x19 + 0.026728265251104*x26*x20 - 1.89763569890872e-16*x26*x21 - 0.0233872320947159*x26*x22 + 1.73472347597681e-17*x26*x23 - 0.0336367434951403*x26*x24 + 1.26634813746307e-16*x26*x25 - 5.45744056552713e-17*x26*x26 - 3.29597460435593e-17*x26*x27 + 0.0275209719505693*x26*x28 - 4.33680868994202e-17*x26*x29 + 0.302730691456263*x27*x29 + 2.77555756156289e-17*x27*x28 + 0.4*x27*x27 + 2.77555756156289e-17*x27*x26 + 0.302730691456263*x27*x25 - 1.38777878078145e-17*x27*x24 + 0.093548928378864*x27*x23 - 3.89817183251937e-17*x27*x22 - 0.0623659522525759*x27*x21 - 1.38777878078145e-17*x27*x20 - 0.0756826728640657*x27*x19 + 3.12250225675825e-17*x27*x18 - 5.45744056552713e-17*x27*x17 + 1.97758476261356e-16*x27*x16 + 0.0504551152427105*x27*x17 - 2.77555756156289e-17*x27*x18 + 0.026728265251104*x27*x19 - 1.89763569890872e-16*x27*x20 - 0.0233872320947159*x27*x21 + 1.73472347597681e-17*x27*x22 - 0.0336367434951403*x27*x23 + 1.26634813746307e-16*x27*x24 - 5.45744056552713e-17*x27*x25 - 3.29597460435593e-17*x27*x26 + 0.0275209719505693*x27*x27 - 4.33680868994202e-17*x27*x28 + 0.015591488063144*x27*x29 + 2.77555756156289e-17*x28*x29 + 0.4*x28*x28 + 2.77555756156289e-17*x28*x27 + 0.302730691456263*x28*x26 - 1.38777878078145e-17*x28*x25 + 0.093548928378864*x28*x24 - 3.89817183251937e-17*x28*x23 - 0.0623659522525759*x28*x22 - 1.38777878078145e-17*x28*x21 - 0.0756826728640657*x28*x20 + 3.12250225675825e-17*x28*x19 - 5.45744056552713e-17*x28*x18 + 1.97758476261356e-16*x28*x17 + 0.0504551152427105*x28*x16 - 2.77555756156289e-17*x28*x17 + 0.026728265251104*x28*x18 - 1.89763569890872e-16*x28*x19 - 0.0233872320947159*x28*x20 + 1.73472347597681e-17*x28*x21 - 0.0336367434951403*x28*x22 + 1.26634813746307e-16*x28*x23 - 5.45744056552713e-17*x28*x24 - 3.29597460435593e-17*x28*x25 + 0.0275209719505693*x28*x26 - 4.33680868994202e-17*x28*x27 + 0.015591488063144*x28*x28 + 2.88701148793613e-17*x28*x29 + 0.4*x29*x29 + 2.77555756156289e-17*x29*x28 + 0.302730691456263*x29*x27 - 1.38777878078145e-17*x29*x26 + 0.093548928378864*x29*x25 - 3.89817183251937e-17*x29*x24 - 0.0623659522525759*x29*x23 - 1.38777878078145e-17*x29*x22 - 0.0756826728640657*x29*x21 + 3.12250225675825e-17*x29*x20 - 5.45744056552713e-17*x29*x19 + 1.97758476261356e-16*x29*x18 + 0.0504551152427105*x29*x17 - 2.77555756156289e-17*x29*x16 + 0.026728265251104*x29*x17 - 1.89763569890872e-16*x29*x18 - 0.0233872320947159*x29*x19 + 1.73472347597681e-17*x29*x20 - 0.0336367434951403*x29*x21 + 1.26634813746307e-16*x29*x22 - 5.45744056552713e-17*x29*x23 - 3.29597460435593e-17*x29*x24 + 0.0275209719505693*x29*x25 - 4.33680868994202e-17*x29*x26 + 0.015591488063144*x29*x27 + 2.88701148793613e-17*x29*x28 - 0.0143921428275175*x29*x29) - 0.632455532033676*x1 =L= 0; e4.. sqrt((-0.0116434881329332*x43*x43) - 2.18455244745871e-17*x43*x42 + 0.0126137788106776*x43*x41 - 0.00813468942424909*x43*x40 - 0.00850444803444207*x43*x39 + 0.014415747212203*x43*x38 - 2.33890309951163e-17*x43*x37 - 0.0159331942871717*x43*x36 + 0.0103943253754293*x43*x35 + 0.0110057562798664*x43*x34 - 0.0189206682160164*x43*x33 + 9.87799567779552e-17*x43*x32 + 0.0216236208183045*x43*x31 - 0.0143921428275175*x43*x30 - 0.015591488063144*x43*x31 + 0.0275209719505694*x43*x32 - 2.33890309951163e-17*x43*x33 - 0.0336367434951403*x43*x34 + 0.023387232094716*x43*x35 + 0.026728265251104*x43*x36 - 0.0504551152427105 *x43*x37 + 2.33890309951163e-17*x43*x38 + 0.0756826728640657*x43*x39 - 0.062365952252576*x43*x40 - 0.0935489283788639*x43*x41 + 0.302730691456263 *x43*x42 + 0.6*x43*x43 - 2.18455244745871e-17*x42*x43 + 0.0126137788106776 *x42*x42 - 0.00813468942424909*x42*x41 - 0.00850444803444207*x42*x40 + 0.014415747212203*x42*x39 - 2.33890309951163e-17*x42*x38 - 0.0159331942871717*x42*x37 + 0.0103943253754293*x42*x36 + 0.0110057562798664*x42*x35 - 0.0189206682160164*x42*x34 + 9.87799567779552e-17*x42*x33 + 0.0216236208183045*x42*x32 - 0.0143921428275175*x42*x31 - 0.015591488063144*x42*x30 + 0.0275209719505694*x42*x31 - 2.33890309951163e-17*x42*x32 - 0.0336367434951403*x42*x33 + 0.023387232094716*x42*x34 + 0.026728265251104 *x42*x35 - 0.0504551152427105*x42*x36 + 2.33890309951163e-17*x42*x37 + 0.0756826728640657*x42*x38 - 0.062365952252576*x42*x39 - 0.0935489283788639*x42*x40 + 0.302730691456263*x42*x41 + 0.6*x42*x42 + 0.302730691456263*x42*x43 + 0.0126137788106776*x41*x43 - 0.00813468942424909*x41*x42 - 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0.062365952252576*x39*x36 - 0.0935489283788639*x39*x37 + 0.302730691456263 *x39*x38 + 0.6*x39*x39 + 0.302730691456263*x39*x40 - 0.0935489283788639* x39*x41 - 0.062365952252576*x39*x42 + 0.0756826728640657*x39*x43 + 0.014415747212203*x38*x43 - 2.33890309951163e-17*x38*x42 - 0.0159331942871717*x38*x41 + 0.0103943253754293*x38*x40 + 0.0110057562798664*x38*x39 - 0.0189206682160164*x38*x38 + 9.87799567779552e-17*x38*x37 + 0.0216236208183045*x38*x36 - 0.0143921428275175*x38*x35 - 0.015591488063144*x38*x34 + 0.0275209719505694*x38*x33 - 2.33890309951163e-17*x38*x32 - 0.0336367434951403*x38*x31 + 0.023387232094716*x38*x30 + 0.026728265251104 *x38*x31 - 0.0504551152427105*x38*x32 + 2.33890309951163e-17*x38*x33 + 0.0756826728640657*x38*x34 - 0.062365952252576*x38*x35 - 0.0935489283788639*x38*x36 + 0.302730691456263*x38*x37 + 0.6*x38*x38 + 0.302730691456263*x38*x39 - 0.0935489283788639*x38*x40 - 0.062365952252576 *x38*x41 + 0.0756826728640657*x38*x42 + 2.33890309951163e-17*x38*x43 - 2.33890309951163e-17*x37*x43 - 0.0159331942871717*x37*x42 + 0.0103943253754293*x37*x41 + 0.0110057562798664*x37*x40 - 0.0189206682160164*x37*x39 + 9.87799567779552e-17*x37*x38 + 0.0216236208183045*x37*x37 - 0.0143921428275175*x37*x36 - 0.015591488063144*x37*x35 + 0.0275209719505694*x37*x34 - 2.33890309951163e-17*x37*x33 - 0.0336367434951403*x37*x32 + 0.023387232094716*x37*x31 + 0.026728265251104*x37*x30 - 0.0504551152427105 *x37*x31 + 2.33890309951163e-17*x37*x32 + 0.0756826728640657*x37*x33 - 0.062365952252576*x37*x34 - 0.0935489283788639*x37*x35 + 0.302730691456263 *x37*x36 + 0.6*x37*x37 + 0.302730691456263*x37*x38 - 0.0935489283788639* x37*x39 - 0.062365952252576*x37*x40 + 0.0756826728640657*x37*x41 + 2.33890309951163e-17*x37*x42 - 0.0504551152427105*x37*x43 - 0.0159331942871717*x36*x43 + 0.0103943253754293*x36*x42 + 0.0110057562798664*x36*x41 - 0.0189206682160164*x36*x40 + 9.87799567779552e-17*x36*x39 + 0.0216236208183045*x36*x38 - 0.0143921428275175*x36*x37 - 0.015591488063144*x36*x36 + 0.0275209719505694*x36*x35 - 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0.0159331942871717*x40*x39 - 2.33890309951163e-17*x40*x40 + 0.014415747212203*x40*x41 - 0.00850444803444207*x40*x42 - 0.00813468942424909*x40*x43 - 0.0935489283788639*x41*x43 + 0.302730691456263*x41*x42 + 0.6*x41*x41 + 0.302730691456263*x41*x40 - 0.0935489283788639*x41*x39 - 0.062365952252576 *x41*x38 + 0.0756826728640657*x41*x37 + 2.33890309951163e-17*x41*x36 - 0.0504551152427105*x41*x35 + 0.026728265251104*x41*x34 + 0.023387232094716 *x41*x33 - 0.0336367434951403*x41*x32 - 2.33890309951163e-17*x41*x31 + 0.0275209719505694*x41*x30 - 0.015591488063144*x41*x31 - 0.0143921428275175*x41*x32 + 0.0216236208183045*x41*x33 + 9.87799567779552e-17*x41*x34 - 0.0189206682160164*x41*x35 + 0.0110057562798664*x41*x36 + 0.0103943253754293*x41*x37 - 0.0159331942871717*x41*x38 - 2.33890309951163e-17*x41*x39 + 0.014415747212203*x41*x40 - 0.00850444803444207*x41*x41 - 0.00813468942424909*x41*x42 + 0.0126137788106776*x41*x43 + 0.302730691456263*x42*x43 + 0.6*x42*x42 + 0.302730691456263*x42*x41 - 0.0935489283788639*x42*x40 - 0.062365952252576*x42*x39 + 0.0756826728640657*x42*x38 + 2.33890309951163e-17*x42*x37 - 0.0504551152427105*x42*x36 + 0.026728265251104*x42*x35 + 0.023387232094716 *x42*x34 - 0.0336367434951403*x42*x33 - 2.33890309951163e-17*x42*x32 + 0.0275209719505694*x42*x31 - 0.015591488063144*x42*x30 - 0.0143921428275175*x42*x31 + 0.0216236208183045*x42*x32 + 9.87799567779552e-17*x42*x33 - 0.0189206682160164*x42*x34 + 0.0110057562798664*x42*x35 + 0.0103943253754293*x42*x36 - 0.0159331942871717*x42*x37 - 2.33890309951163e-17*x42*x38 + 0.014415747212203*x42*x39 - 0.00850444803444207*x42*x40 - 0.00813468942424909*x42*x41 + 0.0126137788106776*x42*x42 - 2.18455244745871e-17*x42*x43 + 0.6*x43*x43 + 0.302730691456263*x43*x42 - 0.0935489283788639*x43*x41 - 0.062365952252576*x43*x40 + 0.0756826728640657*x43*x39 + 2.33890309951163e-17*x43*x38 - 0.0504551152427105*x43*x37 + 0.026728265251104*x43*x36 + 0.023387232094716 *x43*x35 - 0.0336367434951403*x43*x34 - 2.33890309951163e-17*x43*x33 + 0.0275209719505694*x43*x32 - 0.015591488063144*x43*x31 - 0.0143921428275175*x43*x30 + 0.0216236208183045*x43*x31 + 9.87799567779552e-17*x43*x32 - 0.0189206682160164*x43*x33 + 0.0110057562798664*x43*x34 + 0.0103943253754293*x43*x35 - 0.0159331942871717*x43*x36 - 2.33890309951163e-17*x43*x37 + 0.014415747212203*x43*x38 - 0.00850444803444207*x43*x39 - 0.00813468942424909*x43*x40 + 0.0126137788106776*x43*x41 - 2.18455244745871e-17*x43*x42 - 0.0116434881329332*x43*x43) - 0.774596669241483*x1 =L= 0; e5.. - x1 + objvar =E= 0; * set non default bounds * set non default levels x2.l = 2; x16.l = 2; x30.l = 2; * 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;