Problem:
Score : 300 points

Problem Statement

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.

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.

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

fn main() {
    let nums: Vec<f64> = {
        let mut s = String::new();
        std::io::stdin().read_line(&mut s).unwrap();
        s.trim_right().to_owned().split(' ').map(|s| s.parse::<f64>().unwrap()).collect()
    };
    if nums[0].sqrt() + nums[1].sqrt() < nums[2].sqrt() {
    	print!("Yes");
    } else {
    	print!("No");
    }
}