P10074 [AtCoder] Panasonic Programming Contest 2020 - Sqrt Inequality
普及
题目描述

Does $\sqrt{a} + \sqrt{b} < \sqrt{c}$ hold?

Constraints

  • $1 \leq a, b, c \leq 10^9$
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

a \ b \ c

Output

If $\sqrt{a} + \sqrt{b} < \sqrt{c}$, print Yes; otherwise, print No.

Examples

Input

2 3 9

Output

No

Input

2 3 10

Output

Yes

输入格式

见题面

输出格式

见题面

样例输入
2 3 10
样例输出
Yes