Score : $100$ points

问题陈述

是否存在 $2^n > n^2$ 的情况？

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

Does $2^n \gt n^2$ hold?

Constraints

• $n$ is an integer between $1$ and $10^9$ (inclusive).

Input

Input is given from Standard Input in the following format:

$n$

Output

If $2^n \gt n^2$, print Yes; otherwise, print No.

Sample Input 1

5

Sample Output 1

Yes

Since $2^5=32,\ 5^2=25$, we have $2^n \gt n^2$, so Yes should be printed.

Sample Input 2

2

Sample Output 2

No

For $n=2$, we have $2^n=n^2=2^2$, so $2^n \gt n^2$ does not hold. Thus, No should be printed.

Sample Input 3

623947744

Sample Output 3

Yes

update @ 2024/3/10 10:16:38