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 Go (1.6) (judge verdict: Accepted)

package main

import "fmt"

var a, b, c int

func main() {
	fmt.Scan(&a, &b, &c)
	if c-a-b <= 0 {
		fmt.Println("No")
		return
	}

	n := c*c + (a+b)*(a+b) - 4*a*b - 2*c*(a+b)

	if n > 0 {
		fmt.Println("Yes")

	} else {

		fmt.Println("No")
	}
}