#ABC238A. [ABC238A] Exponential or Quadratic

[ABC238A] Exponential or Quadratic

Score : 100100 points

Problem Statement

Does 2n>n22^n \gt n^2 hold?

Constraints

  • nn is an integer between 11 and 10910^9 (inclusive).

Input

Input is given from Standard Input in the following format:

nn

Output

If 2n>n22^n \gt n^2, print Yes; otherwise, print No.

5
Yes

Since 25=32, 52=252^5=32,\ 5^2=25, we have 2n>n22^n \gt n^2, so Yes should be printed.

2
No

For n=2n=2, we have 2n=n2=222^n=n^2=2^2, so 2n>n22^n \gt n^2 does not hold. Thus, No should be printed.

623947744
Yes