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# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
# symbolic n;
#
#
# I1 := {[i,j] : 1 <= i < j <= n};
#
# I2 := {[i,j,k] : 1 <= i < j,k <= n};
#
# I3 := {[i] : 1 <= i <= n};
#
# I4 := {[i,j] : 1 <= j < i <= n};
#
# I5 := {[i] : 1 <= i <= n};
#
#
# T1 := {[i,j] -> [i-1,0,n-i,n-j]};
#
# T2 := {[i,j,k] -> [i-1,1,n-i,n-j]};
#
# T3 := {[i] -> [0,0,0,i]};
#
# T4 := {[i,j] -> [j+n-1,0,i,j]};
#
# T5 := {[i] -> [i+n-2,1,0,0]};
#
#
# first := {[i,*,*,*] -> [i]};
#
#
# first(T1(I1));
{[i]: 0 <= i <= n-2}
#
# first(T2(I2));
{[i]: 0 <= i <= n-2}
#
# first(T3(I3));
{[0]: 1 <= n}
#
# first(T4(I4));
{[i]: n <= i <= 2n-2}
#
# first(T5(I5));
{[i]: n-1 <= i <= 2n-2}
#
# T1(I1);
{[In_1,0,n-In_1-1,In_4]: 0 <= In_1 && 2+In_1+In_4 <= n && 0 <= In_4}
#
# T2(I2);
{[In_1,1,n-In_1-1,In_4]: 0 <= In_1 && 2+In_1+In_4 <= n && 0 <= In_4}
#
# T3(I3);
{[0,0,0,i]: 1 <= i <= n}
#
# T4(I4);
{[In_1,0,i,In_1-n+1]: i <= n <= In_1 && 2+In_1 <= n+i}
#
# T5(I5);
{[In_1,1,0,0]: n-1 <= In_1 <= 2n-2}
#
# codegen T1:I1,T2:I2;
for(t1 = 0; t1 <= n-2; t1++) {
for(t4 = 0; t4 <= -t1+n-2; t4++) {
s1(t1+1,n-t4);
}
for(t4 = 0; t4 <= -t1+n-2; t4++) {
s2(t1+1,n-t4);
}
}
#
# codegen T1:I1,T2:I2,T3:I3,T4:I4,T5:I5;
for(t1 = 0; t1 <= 2*n-2; t1++) {
if (t1 <= 0) {
for(t4 = 1; t4 <= n; t4++) {
s3(t4);
}
}
for(t4 = 0; t4 <= -t1+n-2; t4++) {
s1(t1+1,n-t4);
}
if (t1 >= n) {
for(t3 = t1-n+2; t3 <= n; t3++) {
s4(t3,t1-n+1);
}
}
for(t4 = 0; t4 <= -t1+n-2; t4++) {
s2(t1+1,n-t4);
}
if (t1 >= n-1) {
s5(t1-n+2);
}
}
#
#
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