I define an integer ~y~ a good number if there is some integer ~x~ that satisfies the equation ~x^2+x = y~.

Given the integer ~y~, can you tell me if it is a good number or not?

Input Specification

The first line and only line will contain the integer ~y~ ~(1 \le y \le 10^{18})~.

Output Specification

Print Y if the integer is a good number, and N otherwise.

Scoring

Let ~L~ represent the number of characters in your solution.

If ~L~ is less than ~70~ characters, your score will be ~\min(1, 1-\frac{L-49}{70}) \times 100\%~.

If ~L~ is greater than or equal to ~70~, and less than ~1~ ~000~, your score is ~(\frac{70}{L})^2 \times 70\%~.

Otherwise, your score is ~0~.

Sample Input 1

6

Sample Output 1

Y

Sample Input 2

10

Sample Output 2

N