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Pretty Good Cube Root

Given a positive integer $x$, the cube root of $x$ may or may not be an integer. We’ll define an approximate cube root of $x$ as the positive integer $y$ such that $y^3$ is as close is possible to $x$.

Input

Input has up to $100$ lines with one positive integer per line. Each integer may have as many as $500$ digits. Input ends at the end of file.

Output

For each input integer, print out its approximate cube root.

Sample Input 1 Sample Output 1
64
472741006443
65991621053219768206433
4
7790
40410690
CPU Time limit 3 seconds
Memory limit 1024 MB
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Author
David Sturgill
Source Baylor Competitive Learning course
License Creative Commons License (cc by-sa)

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