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#18083. 簡單方程式

统计

請找出方程式 $$x^5 + y^4 + z^3 + w^2 + t = n$$ 的解的數量,其中 $x, y, z, w, t$ 為正整數變數,且 $n$ 為已知的正整數。

輸入格式

單行輸入一個整數 $n$ ($1 \le n \le 10^9$)。

輸出格式

輸出一個整數,代表解的數量。

範例

輸入 1

12

輸出 1

3

輸入 2

2019

輸出 2

7386

輸入 3

1000000

輸出 3

26734730

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