Chef and array

Chef has an array $A$ of $N$ elements and he will perform the following operation $K$ times: 1. Select a subarray uniformly at random. 2. Reverse the subarray. Help him find the expected value of the element at every index of the array $A$ after he performs the operation $K$ times. Print the values as ($P \times Q^{-1}$) mod $10^9+7$, where $Q^{−1}$ denotes the modular multiplicative i