OR What

You are given two positive integers $N$ and $X$. Find any permutation $P$ of the integers $1$ to $N$ such that the number of indices $i$ ($1 \leq i \leq N$) satisfying $$ P_i \mid i = X $$ is as large as possible. Here, $\mid$ denotes the [bitwise OR](https://en.wikipedia.org/wiki/Bitwise_operation#OR) operation. A permutation of the integers $1$ to $N$ is an array of length $N$ that contains