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Contest: Task: Related: TaskB

Score : $300$ points

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 $(N,M)$.