Reduction Game

You are playing a game called the Reduction Game. This game is played on an array $a$ with $n$ integers. You also have another integer $k$ with you. The following operation will be made repeatedly on this array: - Choose any two elements $a_i, a_j$ such that $i \neq j$, and $min(a_i, a_j) > k$. Decrease both $a_i$ and $a_j$ by one. This operation should be applied to the array if it's possible