Chef Cooks Permutation

Chef is bored cooking his regular dishes, so he decided to cook permutations instead. Since this is his first time cooking permutations, he takes some help. Chef has two permutations $A$ and $B$, each of size $N$. Chef cooks a permutation $C$ of size $N^2$ by doing the following: ``` for i = 1 to N: for j = 1 to N: C[i + (j-1) * N] = A[i] + (B[j] - 1) * N ``` Chef is allowed to make