Love Squares Hate Cubes

Kulyash loves **perfect squares** and hates **perfect cubes**. For any natural number $N$, $F(N) = \texttt{number of perfect squares smaller than or equal to } N - \texttt{number of positive perfect cubes smaller than or equal to } N$. Kulyash gives you an integer $X$ and asks you to find the minimum value of $N$, such that $F(N) \geq X$. ### Input - The first line of input will contain a s