The first thing that struck me — why are you using pow() as if it returns an int? Do you even know how pow() works? read the doc.

Didn't look too deep into your code but I think I found the error. You use the constant $$$M = 100000$$$ for the size of your array, but you index it with $$$2^n-1$$$ which can be $$$2^{17}-1 = 131071 > M$$$. I tried to change $$$M$$$ to $$$200000$$$ and now everything works.

(Btw don't use cout.tie(Null); as it doesn't do anything, don't know why so many people have that line in their header as it really doesn't do anything as cout isn't tied to anything by default.)