P27327 [AtCoder] Sqrt Inequality
普及-
题目描述

Problem Statement

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

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.

Constraints

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

Sample Input 1

2 3 9

Sample Output 1

No

$\sqrt{2} + \sqrt{3} < \sqrt{9}$ does not hold.

Sample Input 2

2 3 10

Sample Output 2

Yes

$\sqrt{2} + \sqrt{3} < \sqrt{10}$ holds.

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
2 3 9
样例输出
No