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Time Limit: 1.0 s Memory Limit: 64 MB Total points: 100

#18083. Ecuación fácil

The problem was used in the following contests:

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.

Encuentre el número de soluciones de la ecuación

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

donde $x, y, z, w$ y $t$ son variables enteras positivas, y $n$ es un entero positivo conocido.

Entrada

Una sola línea que contiene el entero $n$ ($1 \le n \le 10^9$).

Salida

Imprima un solo entero: el número de soluciones.

Ejemplos

Entrada 1

Salida 1

Entrada 2

Salida 2

Entrada 3

Salida 3

26734730

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