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 Python (3.4.3) (judge verdict: Accepted)

import sys
import numpy as np
from itertools import combinations
 
 
def input():
    return sys.stdin.readline()[:-1]
 
 
def solve():
    a,b,c = map(int, input().split())
    if 4*a*b < (c-a-b)**2 and c-a-b>0:
        print('Yes')
    else:
        print('No')
 
    
 
 
if __name__ == "__main__":
    solve()