201080: [AtCoder]ARC108 A - Sum and Product

Problem Statement

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

Constraints

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

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.

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 $(N,M)$.