Easy Equation

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문제 설명

예제3

문제

Find the number of solutions of the equation $x^5 + y^4 + z^3 + w^2 + t = n,$ , where $x$ , $y$ , $z$ , $w$ , and $t$ are positive integer variables, and $n$ is a known positive integer.

입력

A single line containing integer $n$ ( $1 \le n \le 10^9$ ).

출력

Print a single integer -- the number of solutions.