Score : $100$ points

问题描述

一个函数 $f(x)$ 定义在非负整数 $x$ 上，满足以下条件：

• $f(0) = 1$；
• 对于所有正整数 $k$，有 $f(k) = k \times f(k-1)$。

求 $f(N)$ 的值。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

A function $f(x)$ defined for non-negative integer $x$ satisfies the following conditions:

• $f(0) = 1$;
• $f(k) = k \times f(k-1)$ for all positive integers $k$.

Find $f(N)$.

Constraints

• $N$ is an integer such that $0 \le N \le 10$.

Input

The input is given from Standard Input in the following format:

$N$

Output

Print the answer as an integer.

Sample Input 1

2

Sample Output 1

2

We have $f(2) = 2 \times f(1) = 2 \times 1 \times f(0) = 2 \times 1 \times 1 = 2$.

Sample Input 2

3

Sample Output 2

6

We have $f(3) = 3 \times f(2) = 3 \times 2 = 6$.

Sample Input 3

0

Sample Output 3

1

Sample Input 4

10

Sample Output 4

3628800

update @ 2024/3/10 11:29:27