# AMPL Model by Hande Y. Benson
#
# Copyright (C) 2001 Princeton University
# All Rights Reserved
#
# Permission to use, copy, modify, and distribute this software and
# its documentation for any purpose and without fee is hereby
# granted, provided that the above copyright notice appear in all
# copies and that the copyright notice and this
# permission notice appear in all supporting documentation.                     

#   classification QLR2-AN-V-V

param N:=10000;
param M:=3*N/4;

var x{1..N} >= 0.1, <= 10.0, := 0.5;

minimize f:
	sum {i in 1..N} (x[i]+x[((2*i-1) mod N)+1]
	+x[((3*i-1) mod N)+1])^2*i/2;
subject to cons1{i in 1..M}:
	x[i]+2*x[((4*i-1) mod N)+1] + 3*x[((5*i-1)
	mod N)+1] - 6.0 = 0;

solve;
display f;
display x;