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: Wrong Answer)

import numpy as np

inp=input()
(a,b,c)=map(int,inp.split(" "))

arr=np.array([a,b,c], dtype=np.float64)
arr=np.sqrt(arr)

# print(arr)
# print(arr[0],arr[1],arr[2])

if (arr[0]+arr[1] < arr[2]):
    print("Yes")
else:
    print("No")