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Score : $100$ points

### 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