Min-Max Rotations

Shamili has an array $A = [A_0, A_1, \dots, A_{N-1}]$ of length $N$. She painted each element of this array in either Black or White. She allows you to right rotate the values in array $A$ by any value $k$. In other words, let $B$ be the resulting array after right rotating $A$ by $k$, then $B_i = A_{(i-k+n) \pmod{N}}$ where $B_0$ and $A_0$ are the first elements in the arrays $A$ and $B$ respec