# Philippe's simple example
#--------------------------
# 1 <= i <= P
# 1 <= j <= P
# 1 <= k <= P
# i+j+k-2 = Q
#--------------------------
7 7
#  i  j  k  P  Q  1
1  1  0  0  0  0 -1
1 -1  0  0  1  0  0
1  0  1  0  0  0 -1
1  0 -1  0  1  0  0
1  0  0  1  0  0 -1
1  0  0 -1  1  0  0
0 -1 -1 -1  0  1  2
#--------------------------
# Context: 2 parameters, no constraints on them.
0 4
#--------------------------
# I have done the work by hand, and here is the answer :
#
# If 1 <= Q <= P then EQ(P,Q) = 1/2 Q^2 + 1/2 Q
# If P <= Q <= 2P-1 then EQ(P,Q) = -3/2 P^2 - Q^2 + 3PQ - Q
# If 2P-1 <= Q <= 3P-2 then EQ(P,Q) = 9/2 P^2 + 1/2 Q^2 - 3PQ - 3/2 P + 1/2 Q