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: Runtime Error)

import math


a, b, c = list(map(int, input().split()))
sa, sb, sc = math.sqrt(a), math.sqrt(b), math.sqrt(c)
if len(c - a - b) > ８:
    if (sa + sb < sc):
        print("Yes")
    else:
        print("No")

else:
    if (c-a-b)**2 > 4*a*b:
        print("Yes")
    else:
        print("No")