# 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.                     

#   Source: problem 22 in
#   Ph. L. Toint,
#   "Test problems for partially separable optimization and results
#   for the routine PSPMIN",
#   Report 83/4, Department of Mathematics, FUNDP (Namur, B), 1983.

#   SIF input: Ph. Toint, Dec 1989.

#   classification QUR2-AN-V-0

param N:=5000;
var x{1..N} := 3.0;

minimize f:
	sum {i in 1..N-2} (100*x[i+1]^2+100*x[i+2]^2+x[i]^2);

solve; display f; display x;