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 (3.8.2) (judge verdict: Wrong Answer)

a, b, c, = map(int, input().split())
if 4*a*b < a*a + b*b + c*c + 2*a*b - 2*c*b - 2*c*a and 0 < a*a + b*b + c*c + 2*a*b - 2*c*b - 2*c*a:
    print("yes") 

else:
    print("No")