Array Rotation

Given an array $A$ of length $N$, we can define rotation as follows. If we rotate $A$ to the right, all elements move to the right one unit, and the last element moves to the beginning. That is, it becomes $[A_N, A_1,A_2,\ldots,A_{N-1}]$. Similarly if we rotate $A$ to the left, it becomes $[A_2,A_3,\ldots,A_N, A_1]$. Given an array $A$ and an integer $x$, define $f(A,x)$ to be the array $A$ rotat