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#18083. Équation facile

此問題曾在以下比賽中使用

XIX Open Cup named after E.V. Pankratiev, Grand Prix of Ural

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

Trouvez le nombre de solutions de l'équation

$$x^5 + y^4 + z^3 + w^2 + t = n,$$

où $x, y, z, w$ et $t$ sont des variables entières positives, et $n$ est un entier positif connu.

Entrée

Une seule ligne contenant l'entier $n$ ($1 \le n \le 10^9$).

Sortie

Affichez un seul entier : le nombre de solutions.

Exemples

Entrée 1

Sortie 1

Entrée 2

Sortie 2

Entrée 3

Sortie 3

26734730

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