Problem Statement

Given are integers S and P.
Is there a pair of positive integers (N,M) such that N + M = S and $N \times M = P$?

Input

Input is given from Standard Input in the following format:
S P

Output

If there is a pair of positive integers (N,M) such that N + M = S and $N \times M = P$, print Yes; otherwise, print No.

Constraints

• All values in input are integers.
• $1 \leq S,P \leq 10^{12}$

Sample Input 1

3 2

Sample Output 1

Yes

• For example, we have N+M=3 and $N \times M =2$ for N=1,M=2.

Sample Input 2

1000000000000 1

Sample Output 2

No

• There is no such pair (N,M).

见题面 Input 部分

见题面 Output 部分