Problem9537--ABC238 —— A - Exponential or Quadratic

9537: ABC238 —— A - Exponential or Quadratic

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

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

Input

Input is given from Standard Input in the following format:

```
$n$
```

Output

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

Constraints

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

Sample 1 Input

5

Sample 1 Output

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

Sample 2 Input

2

Sample 2 Output

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

Sample 3 Input

623947744

Sample 3 Output

Yes

Source/Category