以下の等式の解の個数を求めよ。
$$x^5 + y^4 + z^3 + w^2 + t = n$$
ここで、$x, y, z, w, t$ は正の整数変数であり、$n$ は既知の正の整数である。
入力
整数 $n$ ($1 \le n \le 10^9$) が1行で与えられる。
出力
解の個数を表す整数を1つ出力せよ。
入出力例
入力 1
12
出力 1
3
入力 2
2019
出力 2
7386
入力 3
1000000
出力 3
26734730
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#18083. 簡単な方程式
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