Power Sum

You are given a sequence $A$ of $N$ integers such that every element is a non-negative power of $2$. A sequence is called `good` if its sum is a non-negative power of $2$. You would like to turn $A$ into a `good` sequence. To achieve this, you can perform the following operation on $A$: - Pick a non-empty subsequence of $A$, pick a positive integer $X$ such that $X \leq 2^{30}$, and multiply eve