Add Permutation

Given a ($1$-indexed) permutation $P$ of the integers in the range $[1, N]$, you will first construct an array $A$ also of size $N$ where $A_i = P_i + i$. Now, let $f(P)$ as the number of **distinct elements** in the array $A$. For example, for $P = [3, 4, 1, 2]$, the constructed array $A$ is $[4, 6, 4, 6]$ and thus $f(P) = 2$. Given integers $N$ and $K$, find a permutation $P$ of the integers