Dividing Numbers

Let f(x)=y be a function that takes input $x$ and returns $y$. f(x) = (x/2)+f(x/2) if x is even. f(x) = (x*(x-1))/2 if x is odd. f(0) = 0 Now you are given a $y$, you need to find all $x$ such that f(x)=y. If $x$ doesn’t exist then print -1. ###Input: First line contains a number $y$. ###Output: Print all x in increasing order. If x doesn’t exist print -1. ###Constraints