# 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);
  }
}

# 
#