1# Philippe's simple example
2#--------------------------
3# 1 <= i <= N
4# 1 <= j <= N
5# 1 <= k <= N
6# i+j+k-2 = M
7#--------------------------
87 7
9#  i  j  k  N  M  1
101  1  0  0  0  0 -1
111 -1  0  0  1  0  0
121  0  1  0  0  0 -1
131  0 -1  0  1  0  0
141  0  0  1  0  0 -1
151  0  0 -1  1  0  0
160 -1 -1 -1  0  1  2
17#--------------------------
180 4
19
20N M
21Philippe's simple example
22
23#--------------------------
24# I have done the work by hand, and here is the right
25# answer :
26#
27# If 1 <= M <= N then EP(N,M) = 1/2 M^2 + 1/2 M
28# If N <= M <= 2N-1 then EP(N,M) = -3/2 N^2 - M^2 + 3NM - M
29# If 2N-1 <= M <= 3N-2 then EP(N,M) = 9/2 N^2 + 1/2 M^2 - 3NM - 3/2 N + 1/2 M
30