#
#**************************
# SET UP THE INITIAL DATA *
#**************************
#   Problem :
#   *********
#   A nonlinear optimal control problem from Nancy Nichols
#   with a periodic boundary condition.
#   This problem arises in tide modelling.
#   Source:
#   S. Lyle and N.K. Nichols,
#   "Numerical Methods for Optimal Control Problems with State Constraints",
#   Numerical Analysis Report 8/91, Dept of Mathematics, 
#   University of Reading, UK.
#   SIF input: Nick Gould, July 1991.
#   classification OOR2-MN-V-V
#   Number of discretized points in [0,1]
#IE N                   2
#IE N                   5
#IE N                   50
#IE N                   500
#IE N                   1000
#IE N                   5000
#    Other useful constants
#RE 1/A                 12.96
#   Mesh
param n := 100;
param pi := 3.1415926535;
param a := 0.07716;
param nm1 := -1 + (100);
param rn := 100.0;
param h := 1.0 / (100.0);
param hd2 := 0.5 * (1.0 / (100.0));
param ri := 100;
param ti := (100) * (1.0 / (100.0));
param cti := cos((2.0 * (3.1415926535)) * ((100) * (1.0 / (100.0))));
param ccti := (cos((2.0 * (3.1415926535)) * ((100) * (1.0 / (100.0))))) * (1.0 / (-1.0 * (2.0 * (0.07716))));
param im1 := -1 + (100);
param rim1 := 99.0;
param tim1 := (99.0) * (1.0 / (100.0));
param ctim1 := cos((2.0 * (3.1415926535)) * ((99.0) * (1.0 / (100.0))));
param cctim1 := (cos((2.0 * (3.1415926535)) * ((99.0) * (1.0 / (100.0))))) * (1.0 / (-1.0 * (2.0 * (0.07716))));

var x0 >= -0.5 ,  <= 0.5;
var u0 >= 0.0 ,  <= 1.0;
var x1 >= -0.5 ,  <= 0.5;
var u1 >= 0.0 ,  <= 1.0;
var x2 >= -0.5 ,  <= 0.5;
var u2 >= 0.0 ,  <= 1.0;
var x3 >= -0.5 ,  <= 0.5;
var u3 >= 0.0 ,  <= 1.0;
var x4 >= -0.5 ,  <= 0.5;
var u4 >= 0.0 ,  <= 1.0;
var x5 >= -0.5 ,  <= 0.5;
var u5 >= 0.0 ,  <= 1.0;
var x6 >= -0.5 ,  <= 0.5;
var u6 >= 0.0 ,  <= 1.0;
var x7 >= -0.5 ,  <= 0.5;
var u7 >= 0.0 ,  <= 1.0;
var x8 >= -0.5 ,  <= 0.5;
var u8 >= 0.0 ,  <= 1.0;
var x9 >= -0.5 ,  <= 0.5;
var u9 >= 0.0 ,  <= 1.0;
var x10 >= -0.5 ,  <= 0.5;
var u10 >= 0.0 ,  <= 1.0;
var x11 >= -0.5 ,  <= 0.5;
var u11 >= 0.0 ,  <= 1.0;
var x12 >= -0.5 ,  <= 0.5;
var u12 >= 0.0 ,  <= 1.0;
var x13 >= -0.5 ,  <= 0.5;
var u13 >= 0.0 ,  <= 1.0;
var x14 >= -0.5 ,  <= 0.5;
var u14 >= 0.0 ,  <= 1.0;
var x15 >= -0.5 ,  <= 0.5;
var u15 >= 0.0 ,  <= 1.0;
var x16 >= -0.5 ,  <= 0.5;
var u16 >= 0.0 ,  <= 1.0;
var x17 >= -0.5 ,  <= 0.5;
var u17 >= 0.0 ,  <= 1.0;
var x18 >= -0.5 ,  <= 0.5;
var u18 >= 0.0 ,  <= 1.0;
var x19 >= -0.5 ,  <= 0.5;
var u19 >= 0.0 ,  <= 1.0;
var x20 >= -0.5 ,  <= 0.5;
var u20 >= 0.0 ,  <= 1.0;
var x21 >= -0.5 ,  <= 0.5;
var u21 >= 0.0 ,  <= 1.0;
var x22 >= -0.5 ,  <= 0.5;
var u22 >= 0.0 ,  <= 1.0;
var x23 >= -0.5 ,  <= 0.5;
var u23 >= 0.0 ,  <= 1.0;
var x24 >= -0.5 ,  <= 0.5;
var u24 >= 0.0 ,  <= 1.0;
var x25 >= -0.5 ,  <= 0.5;
var u25 >= 0.0 ,  <= 1.0;
var x26 >= -0.5 ,  <= 0.5;
var u26 >= 0.0 ,  <= 1.0;
var x27 >= -0.5 ,  <= 0.5;
var u27 >= 0.0 ,  <= 1.0;
var x28 >= -0.5 ,  <= 0.5;
var u28 >= 0.0 ,  <= 1.0;
var x29 >= -0.5 ,  <= 0.5;
var u29 >= 0.0 ,  <= 1.0;
var x30 >= -0.5 ,  <= 0.5;
var u30 >= 0.0 ,  <= 1.0;
var x31 >= -0.5 ,  <= 0.5;
var u31 >= 0.0 ,  <= 1.0;
var x32 >= -0.5 ,  <= 0.5;
var u32 >= 0.0 ,  <= 1.0;
var x33 >= -0.5 ,  <= 0.5;
var u33 >= 0.0 ,  <= 1.0;
var x34 >= -0.5 ,  <= 0.5;
var u34 >= 0.0 ,  <= 1.0;
var x35 >= -0.5 ,  <= 0.5;
var u35 >= 0.0 ,  <= 1.0;
var x36 >= -0.5 ,  <= 0.5;
var u36 >= 0.0 ,  <= 1.0;
var x37 >= -0.5 ,  <= 0.5;
var u37 >= 0.0 ,  <= 1.0;
var x38 >= -0.5 ,  <= 0.5;
var u38 >= 0.0 ,  <= 1.0;
var x39 >= -0.5 ,  <= 0.5;
var u39 >= 0.0 ,  <= 1.0;
var x40 >= -0.5 ,  <= 0.5;
var u40 >= 0.0 ,  <= 1.0;
var x41 >= -0.5 ,  <= 0.5;
var u41 >= 0.0 ,  <= 1.0;
var x42 >= -0.5 ,  <= 0.5;
var u42 >= 0.0 ,  <= 1.0;
var x43 >= -0.5 ,  <= 0.5;
var u43 >= 0.0 ,  <= 1.0;
var x44 >= -0.5 ,  <= 0.5;
var u44 >= 0.0 ,  <= 1.0;
var x45 >= -0.5 ,  <= 0.5;
var u45 >= 0.0 ,  <= 1.0;
var x46 >= -0.5 ,  <= 0.5;
var u46 >= 0.0 ,  <= 1.0;
var x47 >= -0.5 ,  <= 0.5;
var u47 >= 0.0 ,  <= 1.0;
var x48 >= -0.5 ,  <= 0.5;
var u48 >= 0.0 ,  <= 1.0;
var x49 >= -0.5 ,  <= 0.5;
var u49 >= 0.0 ,  <= 1.0;
var x50 >= -0.5 ,  <= 0.5;
var u50 >= 0.0 ,  <= 1.0;
var x51 >= -0.5 ,  <= 0.5;
var u51 >= 0.0 ,  <= 1.0;
var x52 >= -0.5 ,  <= 0.5;
var u52 >= 0.0 ,  <= 1.0;
var x53 >= -0.5 ,  <= 0.5;
var u53 >= 0.0 ,  <= 1.0;
var x54 >= -0.5 ,  <= 0.5;
var u54 >= 0.0 ,  <= 1.0;
var x55 >= -0.5 ,  <= 0.5;
var u55 >= 0.0 ,  <= 1.0;
var x56 >= -0.5 ,  <= 0.5;
var u56 >= 0.0 ,  <= 1.0;
var x57 >= -0.5 ,  <= 0.5;
var u57 >= 0.0 ,  <= 1.0;
var x58 >= -0.5 ,  <= 0.5;
var u58 >= 0.0 ,  <= 1.0;
var x59 >= -0.5 ,  <= 0.5;
var u59 >= 0.0 ,  <= 1.0;
var x60 >= -0.5 ,  <= 0.5;
var u60 >= 0.0 ,  <= 1.0;
var x61 >= -0.5 ,  <= 0.5;
var u61 >= 0.0 ,  <= 1.0;
var x62 >= -0.5 ,  <= 0.5;
var u62 >= 0.0 ,  <= 1.0;
var x63 >= -0.5 ,  <= 0.5;
var u63 >= 0.0 ,  <= 1.0;
var x64 >= -0.5 ,  <= 0.5;
var u64 >= 0.0 ,  <= 1.0;
var x65 >= -0.5 ,  <= 0.5;
var u65 >= 0.0 ,  <= 1.0;
var x66 >= -0.5 ,  <= 0.5;
var u66 >= 0.0 ,  <= 1.0;
var x67 >= -0.5 ,  <= 0.5;
var u67 >= 0.0 ,  <= 1.0;
var x68 >= -0.5 ,  <= 0.5;
var u68 >= 0.0 ,  <= 1.0;
var x69 >= -0.5 ,  <= 0.5;
var u69 >= 0.0 ,  <= 1.0;
var x70 >= -0.5 ,  <= 0.5;
var u70 >= 0.0 ,  <= 1.0;
var x71 >= -0.5 ,  <= 0.5;
var u71 >= 0.0 ,  <= 1.0;
var x72 >= -0.5 ,  <= 0.5;
var u72 >= 0.0 ,  <= 1.0;
var x73 >= -0.5 ,  <= 0.5;
var u73 >= 0.0 ,  <= 1.0;
var x74 >= -0.5 ,  <= 0.5;
var u74 >= 0.0 ,  <= 1.0;
var x75 >= -0.5 ,  <= 0.5;
var u75 >= 0.0 ,  <= 1.0;
var x76 >= -0.5 ,  <= 0.5;
var u76 >= 0.0 ,  <= 1.0;
var x77 >= -0.5 ,  <= 0.5;
var u77 >= 0.0 ,  <= 1.0;
var x78 >= -0.5 ,  <= 0.5;
var u78 >= 0.0 ,  <= 1.0;
var x79 >= -0.5 ,  <= 0.5;
var u79 >= 0.0 ,  <= 1.0;
var x80 >= -0.5 ,  <= 0.5;
var u80 >= 0.0 ,  <= 1.0;
var x81 >= -0.5 ,  <= 0.5;
var u81 >= 0.0 ,  <= 1.0;
var x82 >= -0.5 ,  <= 0.5;
var u82 >= 0.0 ,  <= 1.0;
var x83 >= -0.5 ,  <= 0.5;
var u83 >= 0.0 ,  <= 1.0;
var x84 >= -0.5 ,  <= 0.5;
var u84 >= 0.0 ,  <= 1.0;
var x85 >= -0.5 ,  <= 0.5;
var u85 >= 0.0 ,  <= 1.0;
var x86 >= -0.5 ,  <= 0.5;
var u86 >= 0.0 ,  <= 1.0;
var x87 >= -0.5 ,  <= 0.5;
var u87 >= 0.0 ,  <= 1.0;
var x88 >= -0.5 ,  <= 0.5;
var u88 >= 0.0 ,  <= 1.0;
var x89 >= -0.5 ,  <= 0.5;
var u89 >= 0.0 ,  <= 1.0;
var x90 >= -0.5 ,  <= 0.5;
var u90 >= 0.0 ,  <= 1.0;
var x91 >= -0.5 ,  <= 0.5;
var u91 >= 0.0 ,  <= 1.0;
var x92 >= -0.5 ,  <= 0.5;
var u92 >= 0.0 ,  <= 1.0;
var x93 >= -0.5 ,  <= 0.5;
var u93 >= 0.0 ,  <= 1.0;
var x94 >= -0.5 ,  <= 0.5;
var u94 >= 0.0 ,  <= 1.0;
var x95 >= -0.5 ,  <= 0.5;
var u95 >= 0.0 ,  <= 1.0;
var x96 >= -0.5 ,  <= 0.5;
var u96 >= 0.0 ,  <= 1.0;
var x97 >= -0.5 ,  <= 0.5;
var u97 >= 0.0 ,  <= 1.0;
var x98 >= -0.5 ,  <= 0.5;
var u98 >= 0.0 ,  <= 1.0;
var x99 >= -0.5 ,  <= 0.5;
var u99 >= 0.0 ,  <= 1.0;
var x100 >= -0.5 ,  <= 0.5;
var u100 >= 0.0 ,  <= 1.0;

minimize obj:
	 - 0.0050 * u1 * (x1 - (cos(2.0*3.141592653589*0.01)) ) ^2 
	 - 0.0050 * u0 * (x0 - (cos(2.0*3.141592653589*0.0)) ) ^2 
	 - 0.0050 * u2 * (x2 - (cos(2.0*3.141592653589*0.02)) ) ^2 
	 - 0.0050 * u1 * (x1 - (cos(2.0*3.141592653589*0.01)) ) ^2 
	 - 0.0050 * u3 * (x3 - (cos(2.0*3.141592653589*0.03)) ) ^2 
	 - 0.0050 * u2 * (x2 - (cos(2.0*3.141592653589*0.02)) ) ^2 
	 - 0.0050 * u4 * (x4 - (cos(2.0*3.141592653589*0.04)) ) ^2 
	 - 0.0050 * u3 * (x3 - (cos(2.0*3.141592653589*0.03)) ) ^2 
	 - 0.0050 * u5 * (x5 - (cos(2.0*3.141592653589*0.05)) ) ^2 
	 - 0.0050 * u4 * (x4 - (cos(2.0*3.141592653589*0.04)) ) ^2 
	 - 0.0050 * u6 * (x6 - (cos(2.0*3.141592653589*0.06)) ) ^2 
	 - 0.0050 * u5 * (x5 - (cos(2.0*3.141592653589*0.05)) ) ^2 
	 - 0.0050 * u7 * (x7 - (cos(2.0*3.141592653589*0.07)) ) ^2 
	 - 0.0050 * u6 * (x6 - (cos(2.0*3.141592653589*0.06)) ) ^2 
	 - 0.0050 * u8 * (x8 - (cos(2.0*3.141592653589*0.08)) ) ^2 
	 - 0.0050 * u7 * (x7 - (cos(2.0*3.141592653589*0.07)) ) ^2 
	 - 0.0050 * u9 * (x9 - (cos(2.0*3.141592653589*0.09)) ) ^2 
	 - 0.0050 * u8 * (x8 - (cos(2.0*3.141592653589*0.08)) ) ^2 
	 - 0.0050 * u10 * (x10 - (cos(2.0*3.141592653589*0.1)) ) ^2 
	 - 0.0050 * u9 * (x9 - (cos(2.0*3.141592653589*0.09)) ) ^2 
	 - 0.0050 * u11 * (x11 - (cos(2.0*3.141592653589*0.11)) ) ^2 
	 - 0.0050 * u10 * (x10 - (cos(2.0*3.141592653589*0.1)) ) ^2 
	 - 0.0050 * u12 * (x12 - (cos(2.0*3.141592653589*0.12)) ) ^2 
	 - 0.0050 * u11 * (x11 - (cos(2.0*3.141592653589*0.11)) ) ^2 
	 - 0.0050 * u13 * (x13 - (cos(2.0*3.141592653589*0.13)) ) ^2 
	 - 0.0050 * u12 * (x12 - (cos(2.0*3.141592653589*0.12)) ) ^2 
	 - 0.0050 * u14 * (x14 - (cos(2.0*3.141592653589*0.14)) ) ^2 
	 - 0.0050 * u13 * (x13 - (cos(2.0*3.141592653589*0.13)) ) ^2 
	 - 0.0050 * u15 * (x15 - (cos(2.0*3.141592653589*0.15)) ) ^2 
	 - 0.0050 * u14 * (x14 - (cos(2.0*3.141592653589*0.14)) ) ^2 
	 - 0.0050 * u16 * (x16 - (cos(2.0*3.141592653589*0.16)) ) ^2 
	 - 0.0050 * u15 * (x15 - (cos(2.0*3.141592653589*0.15)) ) ^2 
	 - 0.0050 * u17 * (x17 - (cos(2.0*3.141592653589*0.17)) ) ^2 
	 - 0.0050 * u16 * (x16 - (cos(2.0*3.141592653589*0.16)) ) ^2 
	 - 0.0050 * u18 * (x18 - (cos(2.0*3.141592653589*0.18)) ) ^2 
	 - 0.0050 * u17 * (x17 - (cos(2.0*3.141592653589*0.17)) ) ^2 
	 - 0.0050 * u19 * (x19 - (cos(2.0*3.141592653589*0.19)) ) ^2 
	 - 0.0050 * u18 * (x18 - (cos(2.0*3.141592653589*0.18)) ) ^2 
	 - 0.0050 * u20 * (x20 - (cos(2.0*3.141592653589*0.2)) ) ^2 
	 - 0.0050 * u19 * (x19 - (cos(2.0*3.141592653589*0.19)) ) ^2 
	 - 0.0050 * u21 * (x21 - (cos(2.0*3.141592653589*0.21)) ) ^2 
	 - 0.0050 * u20 * (x20 - (cos(2.0*3.141592653589*0.2)) ) ^2 
	 - 0.0050 * u22 * (x22 - (cos(2.0*3.141592653589*0.22)) ) ^2 
	 - 0.0050 * u21 * (x21 - (cos(2.0*3.141592653589*0.21)) ) ^2 
	 - 0.0050 * u23 * (x23 - (cos(2.0*3.141592653589*0.23)) ) ^2 
	 - 0.0050 * u22 * (x22 - (cos(2.0*3.141592653589*0.22)) ) ^2 
	 - 0.0050 * u24 * (x24 - (cos(2.0*3.141592653589*0.24)) ) ^2 
	 - 0.0050 * u23 * (x23 - (cos(2.0*3.141592653589*0.23)) ) ^2 
	 - 0.0050 * u25 * (x25 - (cos(2.0*3.141592653589*0.25)) ) ^2 
	 - 0.0050 * u24 * (x24 - (cos(2.0*3.141592653589*0.24)) ) ^2 
	 - 0.0050 * u26 * (x26 - (cos(2.0*3.141592653589*0.26)) ) ^2 
	 - 0.0050 * u25 * (x25 - (cos(2.0*3.141592653589*0.25)) ) ^2 
	 - 0.0050 * u27 * (x27 - (cos(2.0*3.141592653589*0.27)) ) ^2 
	 - 0.0050 * u26 * (x26 - (cos(2.0*3.141592653589*0.26)) ) ^2 
	 - 0.0050 * u28 * (x28 - (cos(2.0*3.141592653589*0.28)) ) ^2 
	 - 0.0050 * u27 * (x27 - (cos(2.0*3.141592653589*0.27)) ) ^2 
	 - 0.0050 * u29 * (x29 - (cos(2.0*3.141592653589*0.29)) ) ^2 
	 - 0.0050 * u28 * (x28 - (cos(2.0*3.141592653589*0.28)) ) ^2 
	 - 0.0050 * u30 * (x30 - (cos(2.0*3.141592653589*0.3)) ) ^2 
	 - 0.0050 * u29 * (x29 - (cos(2.0*3.141592653589*0.29)) ) ^2 
	 - 0.0050 * u31 * (x31 - (cos(2.0*3.141592653589*0.31)) ) ^2 
	 - 0.0050 * u30 * (x30 - (cos(2.0*3.141592653589*0.3)) ) ^2 
	 - 0.0050 * u32 * (x32 - (cos(2.0*3.141592653589*0.32)) ) ^2 
	 - 0.0050 * u31 * (x31 - (cos(2.0*3.141592653589*0.31)) ) ^2 
	 - 0.0050 * u33 * (x33 - (cos(2.0*3.141592653589*0.33)) ) ^2 
	 - 0.0050 * u32 * (x32 - (cos(2.0*3.141592653589*0.32)) ) ^2 
	 - 0.0050 * u34 * (x34 - (cos(2.0*3.141592653589*0.34)) ) ^2 
	 - 0.0050 * u33 * (x33 - (cos(2.0*3.141592653589*0.33)) ) ^2 
	 - 0.0050 * u35 * (x35 - (cos(2.0*3.141592653589*0.35000000000000003)) ) ^2 
	 - 0.0050 * u34 * (x34 - (cos(2.0*3.141592653589*0.34)) ) ^2 
	 - 0.0050 * u36 * (x36 - (cos(2.0*3.141592653589*0.36)) ) ^2 
	 - 0.0050 * u35 * (x35 - (cos(2.0*3.141592653589*0.35000000000000003)) ) ^2 
	 - 0.0050 * u37 * (x37 - (cos(2.0*3.141592653589*0.37)) ) ^2 
	 - 0.0050 * u36 * (x36 - (cos(2.0*3.141592653589*0.36)) ) ^2 
	 - 0.0050 * u38 * (x38 - (cos(2.0*3.141592653589*0.38)) ) ^2 
	 - 0.0050 * u37 * (x37 - (cos(2.0*3.141592653589*0.37)) ) ^2 
	 - 0.0050 * u39 * (x39 - (cos(2.0*3.141592653589*0.39)) ) ^2 
	 - 0.0050 * u38 * (x38 - (cos(2.0*3.141592653589*0.38)) ) ^2 
	 - 0.0050 * u40 * (x40 - (cos(2.0*3.141592653589*0.4)) ) ^2 
	 - 0.0050 * u39 * (x39 - (cos(2.0*3.141592653589*0.39)) ) ^2 
	 - 0.0050 * u41 * (x41 - (cos(2.0*3.141592653589*0.41000000000000003)) ) ^2 
	 - 0.0050 * u40 * (x40 - (cos(2.0*3.141592653589*0.4)) ) ^2 
	 - 0.0050 * u42 * (x42 - (cos(2.0*3.141592653589*0.42)) ) ^2 
	 - 0.0050 * u41 * (x41 - (cos(2.0*3.141592653589*0.41000000000000003)) ) ^2 
	 - 0.0050 * u43 * (x43 - (cos(2.0*3.141592653589*0.43)) ) ^2 
	 - 0.0050 * u42 * (x42 - (cos(2.0*3.141592653589*0.42)) ) ^2 
	 - 0.0050 * u44 * (x44 - (cos(2.0*3.141592653589*0.44)) ) ^2 
	 - 0.0050 * u43 * (x43 - (cos(2.0*3.141592653589*0.43)) ) ^2 
	 - 0.0050 * u45 * (x45 - (cos(2.0*3.141592653589*0.45)) ) ^2 
	 - 0.0050 * u44 * (x44 - (cos(2.0*3.141592653589*0.44)) ) ^2 
	 - 0.0050 * u46 * (x46 - (cos(2.0*3.141592653589*0.46)) ) ^2 
	 - 0.0050 * u45 * (x45 - (cos(2.0*3.141592653589*0.45)) ) ^2 
	 - 0.0050 * u47 * (x47 - (cos(2.0*3.141592653589*0.47000000000000003)) ) ^2 
	 - 0.0050 * u46 * (x46 - (cos(2.0*3.141592653589*0.46)) ) ^2 
	 - 0.0050 * u48 * (x48 - (cos(2.0*3.141592653589*0.48)) ) ^2 
	 - 0.0050 * u47 * (x47 - (cos(2.0*3.141592653589*0.47000000000000003)) ) ^2 
	 - 0.0050 * u49 * (x49 - (cos(2.0*3.141592653589*0.49)) ) ^2 
	 - 0.0050 * u48 * (x48 - (cos(2.0*3.141592653589*0.48)) ) ^2 
	 - 0.0050 * u50 * (x50 - (cos(2.0*3.141592653589*0.5)) ) ^2 
	 - 0.0050 * u49 * (x49 - (cos(2.0*3.141592653589*0.49)) ) ^2 
	 - 0.0050 * u51 * (x51 - (cos(2.0*3.141592653589*0.51)) ) ^2 
	 - 0.0050 * u50 * (x50 - (cos(2.0*3.141592653589*0.5)) ) ^2 
	 - 0.0050 * u52 * (x52 - (cos(2.0*3.141592653589*0.52)) ) ^2 
	 - 0.0050 * u51 * (x51 - (cos(2.0*3.141592653589*0.51)) ) ^2 
	 - 0.0050 * u53 * (x53 - (cos(2.0*3.141592653589*0.53)) ) ^2 
	 - 0.0050 * u52 * (x52 - (cos(2.0*3.141592653589*0.52)) ) ^2 
	 - 0.0050 * u54 * (x54 - (cos(2.0*3.141592653589*0.54)) ) ^2 
	 - 0.0050 * u53 * (x53 - (cos(2.0*3.141592653589*0.53)) ) ^2 
	 - 0.0050 * u55 * (x55 - (cos(2.0*3.141592653589*0.55)) ) ^2 
	 - 0.0050 * u54 * (x54 - (cos(2.0*3.141592653589*0.54)) ) ^2 
	 - 0.0050 * u56 * (x56 - (cos(2.0*3.141592653589*0.56)) ) ^2 
	 - 0.0050 * u55 * (x55 - (cos(2.0*3.141592653589*0.55)) ) ^2 
	 - 0.0050 * u57 * (x57 - (cos(2.0*3.141592653589*0.5700000000000001)) ) ^2 
	 - 0.0050 * u56 * (x56 - (cos(2.0*3.141592653589*0.56)) ) ^2 
	 - 0.0050 * u58 * (x58 - (cos(2.0*3.141592653589*0.58)) ) ^2 
	 - 0.0050 * u57 * (x57 - (cos(2.0*3.141592653589*0.5700000000000001)) ) ^2 
	 - 0.0050 * u59 * (x59 - (cos(2.0*3.141592653589*0.59)) ) ^2 
	 - 0.0050 * u58 * (x58 - (cos(2.0*3.141592653589*0.58)) ) ^2 
	 - 0.0050 * u60 * (x60 - (cos(2.0*3.141592653589*0.6)) ) ^2 
	 - 0.0050 * u59 * (x59 - (cos(2.0*3.141592653589*0.59)) ) ^2 
	 - 0.0050 * u61 * (x61 - (cos(2.0*3.141592653589*0.61)) ) ^2 
	 - 0.0050 * u60 * (x60 - (cos(2.0*3.141592653589*0.6)) ) ^2 
	 - 0.0050 * u62 * (x62 - (cos(2.0*3.141592653589*0.62)) ) ^2 
	 - 0.0050 * u61 * (x61 - (cos(2.0*3.141592653589*0.61)) ) ^2 
	 - 0.0050 * u63 * (x63 - (cos(2.0*3.141592653589*0.63)) ) ^2 
	 - 0.0050 * u62 * (x62 - (cos(2.0*3.141592653589*0.62)) ) ^2 
	 - 0.0050 * u64 * (x64 - (cos(2.0*3.141592653589*0.64)) ) ^2 
	 - 0.0050 * u63 * (x63 - (cos(2.0*3.141592653589*0.63)) ) ^2 
	 - 0.0050 * u65 * (x65 - (cos(2.0*3.141592653589*0.65)) ) ^2 
	 - 0.0050 * u64 * (x64 - (cos(2.0*3.141592653589*0.64)) ) ^2 
	 - 0.0050 * u66 * (x66 - (cos(2.0*3.141592653589*0.66)) ) ^2 
	 - 0.0050 * u65 * (x65 - (cos(2.0*3.141592653589*0.65)) ) ^2 
	 - 0.0050 * u67 * (x67 - (cos(2.0*3.141592653589*0.67)) ) ^2 
	 - 0.0050 * u66 * (x66 - (cos(2.0*3.141592653589*0.66)) ) ^2 
	 - 0.0050 * u68 * (x68 - (cos(2.0*3.141592653589*0.68)) ) ^2 
	 - 0.0050 * u67 * (x67 - (cos(2.0*3.141592653589*0.67)) ) ^2 
	 - 0.0050 * u69 * (x69 - (cos(2.0*3.141592653589*0.6900000000000001)) ) ^2 
	 - 0.0050 * u68 * (x68 - (cos(2.0*3.141592653589*0.68)) ) ^2 
	 - 0.0050 * u70 * (x70 - (cos(2.0*3.141592653589*0.7000000000000001)) ) ^2 
	 - 0.0050 * u69 * (x69 - (cos(2.0*3.141592653589*0.6900000000000001)) ) ^2 
	 - 0.0050 * u71 * (x71 - (cos(2.0*3.141592653589*0.71)) ) ^2 
	 - 0.0050 * u70 * (x70 - (cos(2.0*3.141592653589*0.7000000000000001)) ) ^2 
	 - 0.0050 * u72 * (x72 - (cos(2.0*3.141592653589*0.72)) ) ^2 
	 - 0.0050 * u71 * (x71 - (cos(2.0*3.141592653589*0.71)) ) ^2 
	 - 0.0050 * u73 * (x73 - (cos(2.0*3.141592653589*0.73)) ) ^2 
	 - 0.0050 * u72 * (x72 - (cos(2.0*3.141592653589*0.72)) ) ^2 
	 - 0.0050 * u74 * (x74 - (cos(2.0*3.141592653589*0.74)) ) ^2 
	 - 0.0050 * u73 * (x73 - (cos(2.0*3.141592653589*0.73)) ) ^2 
	 - 0.0050 * u75 * (x75 - (cos(2.0*3.141592653589*0.75)) ) ^2 
	 - 0.0050 * u74 * (x74 - (cos(2.0*3.141592653589*0.74)) ) ^2 
	 - 0.0050 * u76 * (x76 - (cos(2.0*3.141592653589*0.76)) ) ^2 
	 - 0.0050 * u75 * (x75 - (cos(2.0*3.141592653589*0.75)) ) ^2 
	 - 0.0050 * u77 * (x77 - (cos(2.0*3.141592653589*0.77)) ) ^2 
	 - 0.0050 * u76 * (x76 - (cos(2.0*3.141592653589*0.76)) ) ^2 
	 - 0.0050 * u78 * (x78 - (cos(2.0*3.141592653589*0.78)) ) ^2 
	 - 0.0050 * u77 * (x77 - (cos(2.0*3.141592653589*0.77)) ) ^2 
	 - 0.0050 * u79 * (x79 - (cos(2.0*3.141592653589*0.79)) ) ^2 
	 - 0.0050 * u78 * (x78 - (cos(2.0*3.141592653589*0.78)) ) ^2 
	 - 0.0050 * u80 * (x80 - (cos(2.0*3.141592653589*0.8)) ) ^2 
	 - 0.0050 * u79 * (x79 - (cos(2.0*3.141592653589*0.79)) ) ^2 
	 - 0.0050 * u81 * (x81 - (cos(2.0*3.141592653589*0.81)) ) ^2 
	 - 0.0050 * u80 * (x80 - (cos(2.0*3.141592653589*0.8)) ) ^2 
	 - 0.0050 * u82 * (x82 - (cos(2.0*3.141592653589*0.8200000000000001)) ) ^2 
	 - 0.0050 * u81 * (x81 - (cos(2.0*3.141592653589*0.81)) ) ^2 
	 - 0.0050 * u83 * (x83 - (cos(2.0*3.141592653589*0.8300000000000001)) ) ^2 
	 - 0.0050 * u82 * (x82 - (cos(2.0*3.141592653589*0.8200000000000001)) ) ^2 
	 - 0.0050 * u84 * (x84 - (cos(2.0*3.141592653589*0.84)) ) ^2 
	 - 0.0050 * u83 * (x83 - (cos(2.0*3.141592653589*0.8300000000000001)) ) ^2 
	 - 0.0050 * u85 * (x85 - (cos(2.0*3.141592653589*0.85)) ) ^2 
	 - 0.0050 * u84 * (x84 - (cos(2.0*3.141592653589*0.84)) ) ^2 
	 - 0.0050 * u86 * (x86 - (cos(2.0*3.141592653589*0.86)) ) ^2 
	 - 0.0050 * u85 * (x85 - (cos(2.0*3.141592653589*0.85)) ) ^2 
	 - 0.0050 * u87 * (x87 - (cos(2.0*3.141592653589*0.87)) ) ^2 
	 - 0.0050 * u86 * (x86 - (cos(2.0*3.141592653589*0.86)) ) ^2 
	 - 0.0050 * u88 * (x88 - (cos(2.0*3.141592653589*0.88)) ) ^2 
	 - 0.0050 * u87 * (x87 - (cos(2.0*3.141592653589*0.87)) ) ^2 
	 - 0.0050 * u89 * (x89 - (cos(2.0*3.141592653589*0.89)) ) ^2 
	 - 0.0050 * u88 * (x88 - (cos(2.0*3.141592653589*0.88)) ) ^2 
	 - 0.0050 * u90 * (x90 - (cos(2.0*3.141592653589*0.9)) ) ^2 
	 - 0.0050 * u89 * (x89 - (cos(2.0*3.141592653589*0.89)) ) ^2 
	 - 0.0050 * u91 * (x91 - (cos(2.0*3.141592653589*0.91)) ) ^2 
	 - 0.0050 * u90 * (x90 - (cos(2.0*3.141592653589*0.9)) ) ^2 
	 - 0.0050 * u92 * (x92 - (cos(2.0*3.141592653589*0.92)) ) ^2 
	 - 0.0050 * u91 * (x91 - (cos(2.0*3.141592653589*0.91)) ) ^2 
	 - 0.0050 * u93 * (x93 - (cos(2.0*3.141592653589*0.93)) ) ^2 
	 - 0.0050 * u92 * (x92 - (cos(2.0*3.141592653589*0.92)) ) ^2 
	 - 0.0050 * u94 * (x94 - (cos(2.0*3.141592653589*0.9400000000000001)) ) ^2 
	 - 0.0050 * u93 * (x93 - (cos(2.0*3.141592653589*0.93)) ) ^2 
	 - 0.0050 * u95 * (x95 - (cos(2.0*3.141592653589*0.9500000000000001)) ) ^2 
	 - 0.0050 * u94 * (x94 - (cos(2.0*3.141592653589*0.9400000000000001)) ) ^2 
	 - 0.0050 * u96 * (x96 - (cos(2.0*3.141592653589*0.96)) ) ^2 
	 - 0.0050 * u95 * (x95 - (cos(2.0*3.141592653589*0.9500000000000001)) ) ^2 
	 - 0.0050 * u97 * (x97 - (cos(2.0*3.141592653589*0.97)) ) ^2 
	 - 0.0050 * u96 * (x96 - (cos(2.0*3.141592653589*0.96)) ) ^2 
	 - 0.0050 * u98 * (x98 - (cos(2.0*3.141592653589*0.98)) ) ^2 
	 - 0.0050 * u97 * (x97 - (cos(2.0*3.141592653589*0.97)) ) ^2 
	 - 0.0050 * u99 * (x99 - (cos(2.0*3.141592653589*0.99)) ) ^2 
	 - 0.0050 * u98 * (x98 - (cos(2.0*3.141592653589*0.98)) ) ^2 
	 - 0.0050 * u100 * (x100 - (cos(2.0*3.141592653589*1.0)) ) ^2 
	 - 0.0050 * u99 * (x99 - (cos(2.0*3.141592653589*0.99)) ) ^2;

subject to obj_bnd:
	0.0 <=  - 0.0050 * u1 * (x1 - (cos(2.0*3.141592653589*0.01)) ) ^2 - 0.0050 * u0 * (x0 - (cos(2.0*3.141592653589*0.0)) ) ^2 - 0.0050 * u2 * (x2 - (cos(2.0*3.141592653589*0.02)) ) ^2 - 0.0050 * u1 * (x1 - (cos(2.0*3.141592653589*0.01)) ) ^2 - 0.0050 * u3 * (x3 - (cos(2.0*3.141592653589*0.03)) ) ^2 - 0.0050 * u2 * (x2 - (cos(2.0*3.141592653589*0.02)) ) ^2 - 0.0050 * u4 * (x4 - (cos(2.0*3.141592653589*0.04)) ) ^2 - 0.0050 * u3 * (x3 - (cos(2.0*3.141592653589*0.03)) ) ^2 - 0.0050 * u5 * (x5 - (cos(2.0*3.141592653589*0.05)) ) ^2 - 0.0050 * u4 * (x4 - (cos(2.0*3.141592653589*0.04)) ) ^2 - 0.0050 * u6 * (x6 - (cos(2.0*3.141592653589*0.06)) ) ^2 - 0.0050 * u5 * (x5 - (cos(2.0*3.141592653589*0.05)) ) ^2 - 0.0050 * u7 * (x7 - (cos(2.0*3.141592653589*0.07)) ) ^2 - 0.0050 * u6 * (x6 - (cos(2.0*3.141592653589*0.06)) ) ^2 - 0.0050 * u8 * (x8 - (cos(2.0*3.141592653589*0.08)) ) ^2 - 0.0050 * u7 * (x7 - (cos(2.0*3.141592653589*0.07)) ) ^2 - 0.0050 * u9 * (x9 - (cos(2.0*3.141592653589*0.09)) ) ^2 - 0.0050 * u8 * (x8 - (cos(2.0*3.141592653589*0.08)) ) ^2 - 0.0050 * u10 * (x10 - (cos(2.0*3.141592653589*0.1)) ) ^2 - 0.0050 * u9 * (x9 - (cos(2.0*3.141592653589*0.09)) ) ^2 - 0.0050 * u11 * (x11 - (cos(2.0*3.141592653589*0.11)) ) ^2 - 0.0050 * u10 * (x10 - (cos(2.0*3.141592653589*0.1)) ) ^2 - 0.0050 * u12 * (x12 - (cos(2.0*3.141592653589*0.12)) ) ^2 - 0.0050 * u11 * (x11 - (cos(2.0*3.141592653589*0.11)) ) ^2 - 0.0050 * u13 * (x13 - (cos(2.0*3.141592653589*0.13)) ) ^2 - 0.0050 * u12 * (x12 - (cos(2.0*3.141592653589*0.12)) ) ^2 - 0.0050 * u14 * (x14 - (cos(2.0*3.141592653589*0.14)) ) ^2 - 0.0050 * u13 * (x13 - (cos(2.0*3.141592653589*0.13)) ) ^2 - 0.0050 * u15 * (x15 - (cos(2.0*3.141592653589*0.15)) ) ^2 - 0.0050 * u14 * (x14 - (cos(2.0*3.141592653589*0.14)) ) ^2 - 0.0050 * u16 * (x16 - (cos(2.0*3.141592653589*0.16)) ) ^2 - 0.0050 * u15 * (x15 - (cos(2.0*3.141592653589*0.15)) ) ^2 - 0.0050 * u17 * (x17 - (cos(2.0*3.141592653589*0.17)) ) ^2 - 0.0050 * u16 * (x16 - (cos(2.0*3.141592653589*0.16)) ) ^2 - 0.0050 * u18 * (x18 - (cos(2.0*3.141592653589*0.18)) ) ^2 - 0.0050 * u17 * (x17 - (cos(2.0*3.141592653589*0.17)) ) ^2 - 0.0050 * u19 * (x19 - (cos(2.0*3.141592653589*0.19)) ) ^2 - 0.0050 * u18 * (x18 - (cos(2.0*3.141592653589*0.18)) ) ^2 - 0.0050 * u20 * (x20 - (cos(2.0*3.141592653589*0.2)) ) ^2 - 0.0050 * u19 * (x19 - (cos(2.0*3.141592653589*0.19)) ) ^2 - 0.0050 * u21 * (x21 - (cos(2.0*3.141592653589*0.21)) ) ^2 - 0.0050 * u20 * (x20 - (cos(2.0*3.141592653589*0.2)) ) ^2 - 0.0050 * u22 * (x22 - (cos(2.0*3.141592653589*0.22)) ) ^2 - 0.0050 * u21 * (x21 - (cos(2.0*3.141592653589*0.21)) ) ^2 - 0.0050 * u23 * (x23 - (cos(2.0*3.141592653589*0.23)) ) ^2 - 0.0050 * u22 * (x22 - (cos(2.0*3.141592653589*0.22)) ) ^2 - 0.0050 * u24 * (x24 - (cos(2.0*3.141592653589*0.24)) ) ^2 - 0.0050 * u23 * (x23 - (cos(2.0*3.141592653589*0.23)) ) ^2 - 0.0050 * u25 * (x25 - (cos(2.0*3.141592653589*0.25)) ) ^2 - 0.0050 * u24 * (x24 - (cos(2.0*3.141592653589*0.24)) ) ^2 - 0.0050 * u26 * (x26 - (cos(2.0*3.141592653589*0.26)) ) ^2 - 0.0050 * u25 * (x25 - (cos(2.0*3.141592653589*0.25)) ) ^2 - 0.0050 * u27 * (x27 - (cos(2.0*3.141592653589*0.27)) ) ^2 - 0.0050 * u26 * (x26 - (cos(2.0*3.141592653589*0.26)) ) ^2 - 0.0050 * u28 * (x28 - (cos(2.0*3.141592653589*0.28)) ) ^2 - 0.0050 * u27 * (x27 - (cos(2.0*3.141592653589*0.27)) ) ^2 - 0.0050 * u29 * (x29 - (cos(2.0*3.141592653589*0.29)) ) ^2 - 0.0050 * u28 * (x28 - (cos(2.0*3.141592653589*0.28)) ) ^2 - 0.0050 * u30 * (x30 - (cos(2.0*3.141592653589*0.3)) ) ^2 - 0.0050 * u29 * (x29 - (cos(2.0*3.141592653589*0.29)) ) ^2 - 0.0050 * u31 * (x31 - (cos(2.0*3.141592653589*0.31)) ) ^2 - 0.0050 * u30 * (x30 - (cos(2.0*3.141592653589*0.3)) ) ^2 - 0.0050 * u32 * (x32 - (cos(2.0*3.141592653589*0.32)) ) ^2 - 0.0050 * u31 * (x31 - (cos(2.0*3.141592653589*0.31)) ) ^2 - 0.0050 * u33 * (x33 - (cos(2.0*3.141592653589*0.33)) ) ^2 - 0.0050 * u32 * (x32 - (cos(2.0*3.141592653589*0.32)) ) ^2 - 0.0050 * u34 * (x34 - (cos(2.0*3.141592653589*0.34)) ) ^2 - 0.0050 * u33 * (x33 - (cos(2.0*3.141592653589*0.33)) ) ^2 - 0.0050 * u35 * (x35 - (cos(2.0*3.141592653589*0.35000000000000003)) ) ^2 - 0.0050 * u34 * (x34 - (cos(2.0*3.141592653589*0.34)) ) ^2 - 0.0050 * u36 * (x36 - (cos(2.0*3.141592653589*0.36)) ) ^2 - 0.0050 * u35 * (x35 - (cos(2.0*3.141592653589*0.35000000000000003)) ) ^2 - 0.0050 * u37 * (x37 - (cos(2.0*3.141592653589*0.37)) ) ^2 - 0.0050 * u36 * (x36 - (cos(2.0*3.141592653589*0.36)) ) ^2 - 0.0050 * u38 * (x38 - (cos(2.0*3.141592653589*0.38)) ) ^2 - 0.0050 * u37 * (x37 - (cos(2.0*3.141592653589*0.37)) ) ^2 - 0.0050 * u39 * (x39 - (cos(2.0*3.141592653589*0.39)) ) ^2 - 0.0050 * u38 * (x38 - (cos(2.0*3.141592653589*0.38)) ) ^2 - 0.0050 * u40 * (x40 - (cos(2.0*3.141592653589*0.4)) ) ^2 - 0.0050 * u39 * (x39 - (cos(2.0*3.141592653589*0.39)) ) ^2 - 0.0050 * u41 * (x41 - (cos(2.0*3.141592653589*0.41000000000000003)) ) ^2 - 0.0050 * u40 * (x40 - (cos(2.0*3.141592653589*0.4)) ) ^2 - 0.0050 * u42 * (x42 - (cos(2.0*3.141592653589*0.42)) ) ^2 - 0.0050 * u41 * (x41 - (cos(2.0*3.141592653589*0.41000000000000003)) ) ^2 - 0.0050 * u43 * (x43 - (cos(2.0*3.141592653589*0.43)) ) ^2 - 0.0050 * u42 * (x42 - (cos(2.0*3.141592653589*0.42)) ) ^2 - 0.0050 * u44 * (x44 - (cos(2.0*3.141592653589*0.44)) ) ^2 - 0.0050 * u43 * (x43 - (cos(2.0*3.141592653589*0.43)) ) ^2 - 0.0050 * u45 * (x45 - (cos(2.0*3.141592653589*0.45)) ) ^2 - 0.0050 * u44 * (x44 - (cos(2.0*3.141592653589*0.44)) ) ^2 - 0.0050 * u46 * (x46 - (cos(2.0*3.141592653589*0.46)) ) ^2 - 0.0050 * u45 * (x45 - (cos(2.0*3.141592653589*0.45)) ) ^2 - 0.0050 * u47 * (x47 - (cos(2.0*3.141592653589*0.47000000000000003)) ) ^2 - 0.0050 * u46 * (x46 - (cos(2.0*3.141592653589*0.46)) ) ^2 - 0.0050 * u48 * (x48 - (cos(2.0*3.141592653589*0.48)) ) ^2 - 0.0050 * u47 * (x47 - (cos(2.0*3.141592653589*0.47000000000000003)) ) ^2 - 0.0050 * u49 * (x49 - (cos(2.0*3.141592653589*0.49)) ) ^2 - 0.0050 * u48 * (x48 - (cos(2.0*3.141592653589*0.48)) ) ^2 - 0.0050 * u50 * (x50 - (cos(2.0*3.141592653589*0.5)) ) ^2 - 0.0050 * u49 * (x49 - (cos(2.0*3.141592653589*0.49)) ) ^2 - 0.0050 * u51 * (x51 - (cos(2.0*3.141592653589*0.51)) ) ^2 - 0.0050 * u50 * (x50 - (cos(2.0*3.141592653589*0.5)) ) ^2 - 0.0050 * u52 * (x52 - (cos(2.0*3.141592653589*0.52)) ) ^2 - 0.0050 * u51 * (x51 - (cos(2.0*3.141592653589*0.51)) ) ^2 - 0.0050 * u53 * (x53 - (cos(2.0*3.141592653589*0.53)) ) ^2 - 0.0050 * u52 * (x52 - (cos(2.0*3.141592653589*0.52)) ) ^2 - 0.0050 * u54 * (x54 - (cos(2.0*3.141592653589*0.54)) ) ^2 - 0.0050 * u53 * (x53 - (cos(2.0*3.141592653589*0.53)) ) ^2 - 0.0050 * u55 * (x55 - (cos(2.0*3.141592653589*0.55)) ) ^2 - 0.0050 * u54 * (x54 - (cos(2.0*3.141592653589*0.54)) ) ^2 - 0.0050 * u56 * (x56 - (cos(2.0*3.141592653589*0.56)) ) ^2 - 0.0050 * u55 * (x55 - (cos(2.0*3.141592653589*0.55)) ) ^2 - 0.0050 * u57 * (x57 - (cos(2.0*3.141592653589*0.5700000000000001)) ) ^2 - 0.0050 * u56 * (x56 - (cos(2.0*3.141592653589*0.56)) ) ^2 - 0.0050 * u58 * (x58 - (cos(2.0*3.141592653589*0.58)) ) ^2 - 0.0050 * u57 * (x57 - (cos(2.0*3.141592653589*0.5700000000000001)) ) ^2 - 0.0050 * u59 * (x59 - (cos(2.0*3.141592653589*0.59)) ) ^2 - 0.0050 * u58 * (x58 - (cos(2.0*3.141592653589*0.58)) ) ^2 - 0.0050 * u60 * (x60 - (cos(2.0*3.141592653589*0.6)) ) ^2 - 0.0050 * u59 * (x59 - (cos(2.0*3.141592653589*0.59)) ) ^2 - 0.0050 * u61 * (x61 - (cos(2.0*3.141592653589*0.61)) ) ^2 - 0.0050 * u60 * (x60 - (cos(2.0*3.141592653589*0.6)) ) ^2 - 0.0050 * u62 * (x62 - (cos(2.0*3.141592653589*0.62)) ) ^2 - 0.0050 * u61 * (x61 - (cos(2.0*3.141592653589*0.61)) ) ^2 - 0.0050 * u63 * (x63 - (cos(2.0*3.141592653589*0.63)) ) ^2 - 0.0050 * u62 * (x62 - (cos(2.0*3.141592653589*0.62)) ) ^2 - 0.0050 * u64 * (x64 - (cos(2.0*3.141592653589*0.64)) ) ^2 - 0.0050 * u63 * (x63 - (cos(2.0*3.141592653589*0.63)) ) ^2 - 0.0050 * u65 * (x65 - (cos(2.0*3.141592653589*0.65)) ) ^2 - 0.0050 * u64 * (x64 - (cos(2.0*3.141592653589*0.64)) ) ^2 - 0.0050 * u66 * (x66 - (cos(2.0*3.141592653589*0.66)) ) ^2 - 0.0050 * u65 * (x65 - (cos(2.0*3.141592653589*0.65)) ) ^2 - 0.0050 * u67 * (x67 - (cos(2.0*3.141592653589*0.67)) ) ^2 - 0.0050 * u66 * (x66 - (cos(2.0*3.141592653589*0.66)) ) ^2 - 0.0050 * u68 * (x68 - (cos(2.0*3.141592653589*0.68)) ) ^2 - 0.0050 * u67 * (x67 - (cos(2.0*3.141592653589*0.67)) ) ^2 - 0.0050 * u69 * (x69 - (cos(2.0*3.141592653589*0.6900000000000001)) ) ^2 - 0.0050 * u68 * (x68 - (cos(2.0*3.141592653589*0.68)) ) ^2 - 0.0050 * u70 * (x70 - (cos(2.0*3.141592653589*0.7000000000000001)) ) ^2 - 0.0050 * u69 * (x69 - (cos(2.0*3.141592653589*0.6900000000000001)) ) ^2 - 0.0050 * u71 * (x71 - (cos(2.0*3.141592653589*0.71)) ) ^2 - 0.0050 * u70 * (x70 - (cos(2.0*3.141592653589*0.7000000000000001)) ) ^2 - 0.0050 * u72 * (x72 - (cos(2.0*3.141592653589*0.72)) ) ^2 - 0.0050 * u71 * (x71 - (cos(2.0*3.141592653589*0.71)) ) ^2 - 0.0050 * u73 * (x73 - (cos(2.0*3.141592653589*0.73)) ) ^2 - 0.0050 * u72 * (x72 - (cos(2.0*3.141592653589*0.72)) ) ^2 - 0.0050 * u74 * (x74 - (cos(2.0*3.141592653589*0.74)) ) ^2 - 0.0050 * u73 * (x73 - (cos(2.0*3.141592653589*0.73)) ) ^2 - 0.0050 * u75 * (x75 - (cos(2.0*3.141592653589*0.75)) ) ^2 - 0.0050 * u74 * (x74 - (cos(2.0*3.141592653589*0.74)) ) ^2 - 0.0050 * u76 * (x76 - (cos(2.0*3.141592653589*0.76)) ) ^2 - 0.0050 * u75 * (x75 - (cos(2.0*3.141592653589*0.75)) ) ^2 - 0.0050 * u77 * (x77 - (cos(2.0*3.141592653589*0.77)) ) ^2 - 0.0050 * u76 * (x76 - (cos(2.0*3.141592653589*0.76)) ) ^2 - 0.0050 * u78 * (x78 - (cos(2.0*3.141592653589*0.78)) ) ^2 - 0.0050 * u77 * (x77 - (cos(2.0*3.141592653589*0.77)) ) ^2 - 0.0050 * u79 * (x79 - (cos(2.0*3.141592653589*0.79)) ) ^2 - 0.0050 * u78 * (x78 - (cos(2.0*3.141592653589*0.78)) ) ^2 - 0.0050 * u80 * (x80 - (cos(2.0*3.141592653589*0.8)) ) ^2 - 0.0050 * u79 * (x79 - (cos(2.0*3.141592653589*0.79)) ) ^2 - 0.0050 * u81 * (x81 - (cos(2.0*3.141592653589*0.81)) ) ^2 - 0.0050 * u80 * (x80 - (cos(2.0*3.141592653589*0.8)) ) ^2 - 0.0050 * u82 * (x82 - (cos(2.0*3.141592653589*0.8200000000000001)) ) ^2 - 0.0050 * u81 * (x81 - (cos(2.0*3.141592653589*0.81)) ) ^2 - 0.0050 * u83 * (x83 - (cos(2.0*3.141592653589*0.8300000000000001)) ) ^2 - 0.0050 * u82 * (x82 - (cos(2.0*3.141592653589*0.8200000000000001)) ) ^2 - 0.0050 * u84 * (x84 - (cos(2.0*3.141592653589*0.84)) ) ^2 - 0.0050 * u83 * (x83 - (cos(2.0*3.141592653589*0.8300000000000001)) ) ^2 - 0.0050 * u85 * (x85 - (cos(2.0*3.141592653589*0.85)) ) ^2 - 0.0050 * u84 * (x84 - (cos(2.0*3.141592653589*0.84)) ) ^2 - 0.0050 * u86 * (x86 - (cos(2.0*3.141592653589*0.86)) ) ^2 - 0.0050 * u85 * (x85 - (cos(2.0*3.141592653589*0.85)) ) ^2 - 0.0050 * u87 * (x87 - (cos(2.0*3.141592653589*0.87)) ) ^2 - 0.0050 * u86 * (x86 - (cos(2.0*3.141592653589*0.86)) ) ^2 - 0.0050 * u88 * (x88 - (cos(2.0*3.141592653589*0.88)) ) ^2 - 0.0050 * u87 * (x87 - (cos(2.0*3.141592653589*0.87)) ) ^2 - 0.0050 * u89 * (x89 - (cos(2.0*3.141592653589*0.89)) ) ^2 - 0.0050 * u88 * (x88 - (cos(2.0*3.141592653589*0.88)) ) ^2 - 0.0050 * u90 * (x90 - (cos(2.0*3.141592653589*0.9)) ) ^2 - 0.0050 * u89 * (x89 - (cos(2.0*3.141592653589*0.89)) ) ^2 - 0.0050 * u91 * (x91 - (cos(2.0*3.141592653589*0.91)) ) ^2 - 0.0050 * u90 * (x90 - (cos(2.0*3.141592653589*0.9)) ) ^2 - 0.0050 * u92 * (x92 - (cos(2.0*3.141592653589*0.92)) ) ^2 - 0.0050 * u91 * (x91 - (cos(2.0*3.141592653589*0.91)) ) ^2 - 0.0050 * u93 * (x93 - (cos(2.0*3.141592653589*0.93)) ) ^2 - 0.0050 * u92 * (x92 - (cos(2.0*3.141592653589*0.92)) ) ^2 - 0.0050 * u94 * (x94 - (cos(2.0*3.141592653589*0.9400000000000001)) ) ^2 - 0.0050 * u93 * (x93 - (cos(2.0*3.141592653589*0.93)) ) ^2 - 0.0050 * u95 * (x95 - (cos(2.0*3.141592653589*0.9500000000000001)) ) ^2 - 0.0050 * u94 * (x94 - (cos(2.0*3.141592653589*0.9400000000000001)) ) ^2 - 0.0050 * u96 * (x96 - (cos(2.0*3.141592653589*0.96)) ) ^2 - 0.0050 * u95 * (x95 - (cos(2.0*3.141592653589*0.9500000000000001)) ) ^2 - 0.0050 * u97 * (x97 - (cos(2.0*3.141592653589*0.97)) ) ^2 - 0.0050 * u96 * (x96 - (cos(2.0*3.141592653589*0.96)) ) ^2 - 0.0050 * u98 * (x98 - (cos(2.0*3.141592653589*0.98)) ) ^2 - 0.0050 * u97 * (x97 - (cos(2.0*3.141592653589*0.97)) ) ^2 - 0.0050 * u99 * (x99 - (cos(2.0*3.141592653589*0.99)) ) ^2 - 0.0050 * u98 * (x98 - (cos(2.0*3.141592653589*0.98)) ) ^2 - 0.0050 * u100 * (x100 - (cos(2.0*3.141592653589*1.0)) ) ^2 - 0.0050 * u99 * (x99 - (cos(2.0*3.141592653589*0.99)) ) ^2;
subject to c1:
	6.480041472265422 * u1 * x1 + 6.480041472265422 * u0 * x0 + 100.0*x1 - 100.0*x0 - 6.467254590645311*u1 - 6.480041472265422*u0 = 0;
subject to c2:
	6.480041472265422 * u2 * x2 + 6.480041472265422 * u1 * x1 + 100.0*x2 - 100.0*x1 - 6.428944409764956*u2 - 6.467254590645311*u1 = 0;
subject to c3:
	6.480041472265422 * u3 * x3 + 6.480041472265422 * u2 * x2 + 100.0*x3 - 100.0*x2 - 6.365262122406028*u3 - 6.428944409764956*u2 = 0;
subject to c4:
	6.480041472265422 * u4 * x4 + 6.480041472265422 * u3 * x3 + 100.0*x4 - 100.0*x3 - 6.276459053463047*u4 - 6.365262122406028*u3 = 0;
subject to c5:
	6.480041472265422 * u5 * x5 + 6.480041472265422 * u4 * x4 + 100.0*x5 - 100.0*x4 - 6.162885668078851*u5 - 6.276459053463047*u4 = 0;
subject to c6:
	6.480041472265422 * u6 * x6 + 6.480041472265422 * u5 * x5 + 100.0*x6 - 100.0*x5 - 6.024990188518778*u6 - 6.162885668078851*u5 = 0;
subject to c7:
	6.480041472265422 * u7 * x7 + 6.480041472265422 * u6 * x6 + 100.0*x7 - 100.0*x6 - 5.863316825242172*u7 - 6.024990188518778*u6 = 0;
subject to c8:
	6.480041472265422 * u8 * x8 + 6.480041472265422 * u7 * x7 + 100.0*x8 - 100.0*x7 - 5.6785036291523125*u8 - 5.863316825242172*u7 = 0;
subject to c9:
	6.480041472265422 * u9 * x9 + 6.480041472265422 * u8 * x8 + 100.0*x9 - 100.0*x8 - 5.471279973501007*u9 - 5.6785036291523125*u8 = 0;
subject to c10:
	6.480041472265422 * u10 * x10 + 6.480041472265422 * u9 * x9 + 100.0*x10 - 100.0*x9 - 5.242463675385583*u10 - 5.471279973501007*u9 = 0;
subject to c11:
	6.480041472265422 * u11 * x11 + 6.480041472265422 * u10 * x10 + 100.0*x11 - 100.0*x10 - 4.992957768198426*u11 - 5.242463675385583*u10 = 0;
subject to c12:
	6.480041472265422 * u12 * x12 + 6.480041472265422 * u11 * x11 + 100.0*x12 - 100.0*x11 - 4.723746937766743*u12 - 4.992957768198426*u11 = 0;
subject to c13:
	6.480041472265422 * u13 * x13 + 6.480041472265422 * u12 * x12 + 100.0*x13 - 100.0*x12 - 4.435893636247456*u13 - 4.723746937766743*u12 = 0;
subject to c14:
	6.480041472265422 * u14 * x14 + 6.480041472265422 * u13 * x13 + 100.0*x14 - 100.0*x13 - 4.130533889113932*u14 - 4.435893636247456*u13 = 0;
subject to c15:
	6.480041472265422 * u15 * x15 + 6.480041472265422 * u14 * x14 + 100.0*x15 - 100.0*x14 - 3.8088728117824413*u15 - 4.130533889113932*u14 = 0;
subject to c16:
	6.480041472265422 * u16 * x16 + 6.480041472265422 * u15 * x15 + 100.0*x16 - 100.0*x15 - 3.4721798535721704*u16 - 3.8088728117824413*u15 = 0;
subject to c17:
	6.480041472265422 * u17 * x17 + 6.480041472265422 * u16 * x16 + 100.0*x17 - 100.0*x16 - 3.121783787768718*u17 - 3.4721798535721704*u16 = 0;
subject to c18:
	6.480041472265422 * u18 * x18 + 6.480041472265422 * u17 * x17 + 100.0*x18 - 100.0*x17 - 2.759067467562997*u18 - 3.121783787768718*u17 = 0;
subject to c19:
	6.480041472265422 * u19 * x19 + 6.480041472265422 * u18 * x18 + 100.0*x19 - 100.0*x18 - 2.3854623685614507*u19 - 2.759067467562997*u18 = 0;
subject to c20:
	6.480041472265422 * u20 * x20 + 6.480041472265422 * u19 * x19 + 100.0*x20 - 100.0*x19 - 2.0024429394058227*u20 - 2.3854623685614507*u19 = 0;
subject to c21:
	6.480041472265422 * u21 * x21 + 6.480041472265422 * u20 * x20 + 100.0*x21 - 100.0*x20 - 1.611520782797972*u21 - 2.0024429394058227*u20 = 0;
subject to c22:
	6.480041472265422 * u22 * x22 + 6.480041472265422 * u21 * x21 + 100.0*x22 - 100.0*x21 - 1.2142386898945936*u22 - 1.611520782797972*u21 = 0;
subject to c23:
	6.480041472265422 * u23 * x23 + 6.480041472265422 * u22 * x22 + 100.0*x23 - 100.0*x22 - 0.8121645516153656*u23 - 1.2142386898945936*u22 = 0;
subject to c24:
	6.480041472265422 * u24 * x24 + 6.480041472265422 * u23 * x23 + 100.0*x24 - 100.0*x23 - 0.40688517089378595*u24 - 0.8121645516153656*u23 = 0;
subject to c25:
	6.480041472265422 * u25 * x25 + 6.480041472265422 * u24 * x24 + 100.0*x25 - 100.0*x24 - 2.9093138243533976e-10*u25 - 0.40688517089378595*u24 = 0;
subject to c26:
	6.480041472265422 * u26 * x26 + 6.480041472265422 * u25 * x25 + 100.0*x26 - 100.0*x25 + 0.40688517031307136*u26 - 2.9093138243533976e-10*u25 = 0;
subject to c27:
	6.480041472265422 * u27 * x27 + 6.480041472265422 * u26 * x26 + 100.0*x27 - 100.0*x26 + 0.8121645510380925*u27 + 0.40688517031307136*u26 = 0;
subject to c28:
	6.480041472265422 * u28 * x28 + 6.480041472265422 * u27 * x27 + 100.0*x28 - 100.0*x27 + 1.2142386893230386*u28 + 0.8121645510380925*u27 = 0;
subject to c29:
	6.480041472265422 * u29 * x29 + 6.480041472265422 * u28 * x28 + 100.0*x29 - 100.0*x28 + 1.6115207822343882*u29 + 1.2142386893230386*u28 = 0;
subject to c30:
	6.480041472265422 * u30 * x30 + 6.480041472265422 * u29 * x29 + 100.0*x30 - 100.0*x29 + 2.0024429388524383*u30 + 1.6115207822343882*u29 = 0;
subject to c31:
	6.480041472265422 * u31 * x31 + 6.480041472265422 * u30 * x30 + 100.0*x31 - 100.0*x30 + 2.3854623680204483*u31 + 2.0024429388524383*u30 = 0;
subject to c32:
	6.480041472265422 * u32 * x32 + 6.480041472265422 * u31 * x31 + 100.0*x32 - 100.0*x31 + 2.7590674670365107*u32 + 2.3854623680204483*u31 = 0;
subject to c33:
	6.480041472265422 * u33 * x33 + 6.480041472265422 * u32 * x32 + 100.0*x33 - 100.0*x32 + 3.1217837872588277*u33 + 2.7590674670365107*u32 = 0;
subject to c34:
	6.480041472265422 * u34 * x34 + 6.480041472265422 * u33 * x33 + 100.0*x34 - 100.0*x33 + 3.4721798530808874*u34 + 3.1217837872588277*u33 = 0;
subject to c35:
	6.480041472265422 * u35 * x35 + 6.480041472265422 * u34 * x34 + 100.0*x35 - 100.0*x34 + 3.8088728113117054*u35 + 3.4721798530808874*u34 = 0;
subject to c36:
	6.480041472265422 * u36 * x36 + 6.480041472265422 * u35 * x35 + 100.0*x36 - 100.0*x35 + 4.130533888665598*u36 + 3.8088728113117054*u35 = 0;
subject to c37:
	6.480041472265422 * u37 * x37 + 6.480041472265422 * u36 * x36 + 100.0*x37 - 100.0*x36 + 4.4358936358232945*u37 + 4.130533888665598*u36 = 0;
subject to c38:
	6.480041472265422 * u38 * x38 + 6.480041472265422 * u37 * x37 + 100.0*x38 - 100.0*x37 + 4.723746937368431*u38 + 4.4358936358232945*u37 = 0;
subject to c39:
	6.480041472265422 * u39 * x39 + 6.480041472265422 * u38 * x38 + 100.0*x39 - 100.0*x38 + 4.9929577678275345*u39 + 4.723746937368431*u38 = 0;
subject to c40:
	6.480041472265422 * u40 * x40 + 6.480041472265422 * u39 * x39 + 100.0*x40 - 100.0*x39 + 5.242463675043574*u40 + 4.9929577678275345*u39 = 0;
subject to c41:
	6.480041472265422 * u41 * x41 + 6.480041472265422 * u40 * x40 + 100.0*x41 - 100.0*x40 + 5.471279973189231*u41 + 5.242463675043574*u40 = 0;
subject to c42:
	6.480041472265422 * u42 * x42 + 6.480041472265422 * u41 * x41 + 100.0*x42 - 100.0*x41 + 5.678503628871998*u42 + 5.471279973189231*u41 = 0;
subject to c43:
	6.480041472265422 * u43 * x43 + 6.480041472265422 * u42 * x42 + 100.0*x43 - 100.0*x42 + 5.863316824994427*u43 + 5.678503628871998*u42 = 0;
subject to c44:
	6.480041472265422 * u44 * x44 + 6.480041472265422 * u43 * x43 + 100.0*x44 - 100.0*x43 + 6.0249901883045816*u44 + 5.863316824994427*u43 = 0;
subject to c45:
	6.480041472265422 * u45 * x45 + 6.480041472265422 * u44 * x44 + 100.0*x45 - 100.0*x44 + 6.1628856678990465*u45 + 6.0249901883045816*u44 = 0;
subject to c46:
	6.480041472265422 * u46 * x46 + 6.480041472265422 * u45 * x45 + 100.0*x46 - 100.0*x45 + 6.276459053318344*u46 + 6.1628856678990465*u45 = 0;
subject to c47:
	6.480041472265422 * u47 * x47 + 6.480041472265422 * u46 * x46 + 100.0*x47 - 100.0*x46 + 6.365262122296998*u47 + 6.276459053318344*u46 = 0;
subject to c48:
	6.480041472265422 * u48 * x48 + 6.480041472265422 * u47 * x47 + 100.0*x48 - 100.0*x47 + 6.428944409692029*u48 + 6.365262122296998*u47 = 0;
subject to c49:
	6.480041472265422 * u49 * x49 + 6.480041472265422 * u48 * x48 + 100.0*x49 - 100.0*x48 + 6.467254590608775*u49 + 6.428944409692029*u48 = 0;
subject to c50:
	6.480041472265422 * u50 * x50 + 6.480041472265422 * u49 * x49 + 100.0*x50 - 100.0*x49 + 6.480041472265422*u50 + 6.467254590608775*u49 = 0;
subject to c51:
	6.480041472265422 * u51 * x51 + 6.480041472265422 * u50 * x50 + 100.0*x51 - 100.0*x50 + 6.467254590681846*u51 + 6.480041472265422*u50 = 0;
subject to c52:
	6.480041472265422 * u52 * x52 + 6.480041472265422 * u51 * x51 + 100.0*x52 - 100.0*x51 + 6.428944409837882*u52 + 6.467254590681846*u51 = 0;
subject to c53:
	6.480041472265422 * u53 * x53 + 6.480041472265422 * u52 * x52 + 100.0*x53 - 100.0*x52 + 6.365262122515057*u53 + 6.428944409837882*u52 = 0;
subject to c54:
	6.480041472265422 * u54 * x54 + 6.480041472265422 * u53 * x53 + 100.0*x54 - 100.0*x53 + 6.27645905360775*u54 + 6.365262122515057*u53 = 0;
subject to c55:
	6.480041472265422 * u55 * x55 + 6.480041472265422 * u54 * x54 + 100.0*x55 - 100.0*x54 + 6.162885668258657*u55 + 6.27645905360775*u54 = 0;
subject to c56:
	6.480041472265422 * u56 * x56 + 6.480041472265422 * u55 * x55 + 100.0*x56 - 100.0*x55 + 6.024990188732977*u56 + 6.162885668258657*u55 = 0;
subject to c57:
	6.480041472265422 * u57 * x57 + 6.480041472265422 * u56 * x56 + 100.0*x57 - 100.0*x56 + 5.863316825489916*u57 + 6.024990188732977*u56 = 0;
subject to c58:
	6.480041472265422 * u58 * x58 + 6.480041472265422 * u57 * x57 + 100.0*x58 - 100.0*x57 + 5.678503629432628*u58 + 5.863316825489916*u57 = 0;
subject to c59:
	6.480041472265422 * u59 * x59 + 6.480041472265422 * u58 * x58 + 100.0*x59 - 100.0*x58 + 5.471279973812786*u59 + 5.678503629432628*u58 = 0;
subject to c60:
	6.480041472265422 * u60 * x60 + 6.480041472265422 * u59 * x59 + 100.0*x60 - 100.0*x59 + 5.242463675727595*u60 + 5.471279973812786*u59 = 0;
subject to c61:
	6.480041472265422 * u61 * x61 + 6.480041472265422 * u60 * x60 + 100.0*x61 - 100.0*x60 + 4.992957768569321*u61 + 5.242463675727595*u60 = 0;
subject to c62:
	6.480041472265422 * u62 * x62 + 6.480041472265422 * u61 * x61 + 100.0*x62 - 100.0*x61 + 4.723746938165056*u62 + 4.992957768569321*u61 = 0;
subject to c63:
	6.480041472265422 * u63 * x63 + 6.480041472265422 * u62 * x62 + 100.0*x63 - 100.0*x62 + 4.435893636671613*u63 + 4.723746938165056*u62 = 0;
subject to c64:
	6.480041472265422 * u64 * x64 + 6.480041472265422 * u63 * x63 + 100.0*x64 - 100.0*x63 + 4.130533889562265*u64 + 4.435893636671613*u63 = 0;
subject to c65:
	6.480041472265422 * u65 * x65 + 6.480041472265422 * u64 * x64 + 100.0*x65 - 100.0*x64 + 3.808872812253176*u65 + 4.130533889562265*u64 = 0;
subject to c66:
	6.480041472265422 * u66 * x66 + 6.480041472265422 * u65 * x65 + 100.0*x66 - 100.0*x65 + 3.4721798540634534*u66 + 3.808872812253176*u65 = 0;
subject to c67:
	6.480041472265422 * u67 * x67 + 6.480041472265422 * u66 * x66 + 100.0*x67 - 100.0*x66 + 3.1217837882786057*u67 + 3.4721798540634534*u66 = 0;
subject to c68:
	6.480041472265422 * u68 * x68 + 6.480041472265422 * u67 * x67 + 100.0*x68 - 100.0*x67 + 2.7590674680894813*u68 + 3.1217837882786057*u67 = 0;
subject to c69:
	6.480041472265422 * u69 * x69 + 6.480041472265422 * u68 * x68 + 100.0*x69 - 100.0*x68 + 2.3854623691024504*u69 + 2.7590674680894813*u68 = 0;
subject to c70:
	6.480041472265422 * u70 * x70 + 6.480041472265422 * u69 * x69 + 100.0*x70 - 100.0*x69 + 2.0024429399592067*u70 + 2.3854623691024504*u69 = 0;
subject to c71:
	6.480041472265422 * u71 * x71 + 6.480041472265422 * u70 * x70 + 100.0*x71 - 100.0*x70 + 1.611520783361556*u71 + 2.0024429399592067*u70 = 0;
subject to c72:
	6.480041472265422 * u72 * x72 + 6.480041472265422 * u71 * x71 + 100.0*x72 - 100.0*x71 + 1.2142386904661544*u72 + 1.611520783361556*u71 = 0;
subject to c73:
	6.480041472265422 * u73 * x73 + 6.480041472265422 * u72 * x72 + 100.0*x73 - 100.0*x72 + 0.8121645521926417*u73 + 1.2142386904661544*u72 = 0;
subject to c74:
	6.480041472265422 * u74 * x74 + 6.480041472265422 * u73 * x73 + 100.0*x74 - 100.0*x73 + 0.40688517147450337*u74 + 0.8121645521926417*u73 = 0;
subject to c75:
	6.480041472265422 * u75 * x75 + 6.480041472265422 * u74 * x74 + 100.0*x75 - 100.0*x74 + 8.727941473060192e-10*u75 + 0.40688517147450337*u74 = 0;
subject to c76:
	6.480041472265422 * u76 * x76 + 6.480041472265422 * u75 * x75 + 100.0*x76 - 100.0*x75 - 0.4068851697323596*u76 + 8.727941473060192e-10*u75 = 0;
subject to c77:
	6.480041472265422 * u77 * x77 + 6.480041472265422 * u76 * x76 + 100.0*x77 - 100.0*x76 - 0.8121645504608178*u77 - 0.4068851697323596*u76 = 0;
subject to c78:
	6.480041472265422 * u78 * x78 + 6.480041472265422 * u77 * x77 + 100.0*x78 - 100.0*x77 - 1.214238688751485*u78 - 0.8121645504608178*u77 = 0;
subject to c79:
	6.480041472265422 * u79 * x79 + 6.480041472265422 * u78 * x78 + 100.0*x79 - 100.0*x78 - 1.6115207816708084*u79 - 1.214238688751485*u78 = 0;
subject to c80:
	6.480041472265422 * u80 * x80 + 6.480041472265422 * u79 * x79 + 100.0*x80 - 100.0*x79 - 2.0024429382990596*u80 - 1.6115207816708084*u79 = 0;
subject to c81:
	6.480041472265422 * u81 * x81 + 6.480041472265422 * u80 * x80 + 100.0*x81 - 100.0*x80 - 2.3854623674794486*u81 - 2.0024429382990596*u80 = 0;
subject to c82:
	6.480041472265422 * u82 * x82 + 6.480041472265422 * u81 * x81 + 100.0*x82 - 100.0*x81 - 2.759067466510031*u82 - 2.3854623674794486*u81 = 0;
subject to c83:
	6.480041472265422 * u83 * x83 + 6.480041472265422 * u82 * x82 + 100.0*x83 - 100.0*x82 - 3.1217837867489404*u83 - 2.759067466510031*u82 = 0;
subject to c84:
	6.480041472265422 * u84 * x84 + 6.480041472265422 * u83 * x83 + 100.0*x84 - 100.0*x83 - 3.4721798525896044*u84 - 3.1217837867489404*u83 = 0;
subject to c85:
	6.480041472265422 * u85 * x85 + 6.480041472265422 * u84 * x84 + 100.0*x85 - 100.0*x84 - 3.8088728108409655*u85 - 3.4721798525896044*u84 = 0;
subject to c86:
	6.480041472265422 * u86 * x86 + 6.480041472265422 * u85 * x85 + 100.0*x86 - 100.0*x85 - 4.130533888217267*u86 - 3.8088728108409655*u85 = 0;
subject to c87:
	6.480041472265422 * u87 * x87 + 6.480041472265422 * u86 * x86 + 100.0*x87 - 100.0*x86 - 4.435893635399135*u87 - 4.130533888217267*u86 = 0;
subject to c88:
	6.480041472265422 * u88 * x88 + 6.480041472265422 * u87 * x87 + 100.0*x88 - 100.0*x87 - 4.723746936970119*u88 - 4.435893635399135*u87 = 0;
subject to c89:
	6.480041472265422 * u89 * x89 + 6.480041472265422 * u88 * x88 + 100.0*x89 - 100.0*x88 - 4.992957767456639*u89 - 4.723746936970119*u88 = 0;
subject to c90:
	6.480041472265422 * u90 * x90 + 6.480041472265422 * u89 * x89 + 100.0*x90 - 100.0*x89 - 5.242463674701564*u90 - 4.992957767456639*u89 = 0;
subject to c91:
	6.480041472265422 * u91 * x91 + 6.480041472265422 * u90 * x90 + 100.0*x91 - 100.0*x90 - 5.471279972877452*u91 - 5.242463674701564*u90 = 0;
subject to c92:
	6.480041472265422 * u92 * x92 + 6.480041472265422 * u91 * x91 + 100.0*x92 - 100.0*x91 - 5.678503628591685*u92 - 5.471279972877452*u91 = 0;
subject to c93:
	6.480041472265422 * u93 * x93 + 6.480041472265422 * u92 * x92 + 100.0*x93 - 100.0*x92 - 5.863316824746682*u93 - 5.678503628591685*u92 = 0;
subject to c94:
	6.480041472265422 * u94 * x94 + 6.480041472265422 * u93 * x93 + 100.0*x94 - 100.0*x93 - 6.024990188090385*u94 - 5.863316824746682*u93 = 0;
subject to c95:
	6.480041472265422 * u95 * x95 + 6.480041472265422 * u94 * x94 + 100.0*x95 - 100.0*x94 - 6.162885667719241*u95 - 6.024990188090385*u94 = 0;
subject to c96:
	6.480041472265422 * u96 * x96 + 6.480041472265422 * u95 * x95 + 100.0*x96 - 100.0*x95 - 6.276459053173641*u96 - 6.162885667719241*u95 = 0;
subject to c97:
	6.480041472265422 * u97 * x97 + 6.480041472265422 * u96 * x96 + 100.0*x97 - 100.0*x96 - 6.365262122187967*u97 - 6.276459053173641*u96 = 0;
subject to c98:
	6.480041472265422 * u98 * x98 + 6.480041472265422 * u97 * x97 + 100.0*x98 - 100.0*x97 - 6.428944409619102*u98 - 6.365262122187967*u97 = 0;
subject to c99:
	6.480041472265422 * u99 * x99 + 6.480041472265422 * u98 * x98 + 100.0*x99 - 100.0*x98 - 6.467254590572239*u99 - 6.428944409619102*u98 = 0;
subject to c100:
	6.480041472265422 * u100 * x100 + 6.480041472265422 * u99 * x99 + 100.0*x100 - 100.0*x99 - 6.480041472265422*u100 - 6.467254590572239*u99 = 0;
subject to period:
	x0 - x100 = 0;

solve;
display x0;
display u0;
display x1;
display u1;
display x2;
display u2;
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display x99;
display u99;
display x100;
display u100;
display obj;