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: Wrong Answer)

package main

import "fmt"
import "math"

func main() {
	var a, b, c float64
	fmt.Scan(&a)
	fmt.Scan(&b)
	fmt.Scan(&c)

	left := (a + b - c) / -2
	right := math.Sqrt(a*b)

	// fmt.Println(left)
	// fmt.Println(right)

	res := left > right

	if res {
		fmt.Println("Yes")
	} else {
		fmt.Println("No")
	}
}