# 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:
#   An error in specifying problem CHNROSNB.
#   SIF input: Ph. Toint, Sept 1990.

#   classification SUR2-AN-V-0

param N:=50;
param alpha{1..N};
var x{1..N} := -1;

minimize f:
	sum {i in 2..N} (x[i-1]-16*alpha[i]^2*x[i]^2)^2
	+sum {i in 2..N} (x[i]-1.0)^2
;

data;
param alpha:=
1 1.25
2 1.40
3 2.40
4 1.40
5 1.75
6 1.20
7 2.25
8 1.20
9 1.00
10 1.10
11 1.50
12 1.60
13 1.25
14 1.25
15 1.20
16 1.20
17 1.40
18 0.50
19 0.50
20 1.25
21 1.80
22 0.75
23 1.25
24 1.40
25 1.60
26 2.00
27 1.00
28 1.60
29 1.25
30 2.75
31 1.25
32 1.25
33 1.25
34 3.00
35 1.50
36 2.00
37 1.25
38 1.40
39 1.80
40 1.50
41 2.20
42 1.40
43 1.50
44 1.25
45 2.00
46 1.50
47 1.25
48 1.40
49 0.60
50 1.50;

solve;
display f;
display x;