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)

from decimal import *
import sys
a,b,c = map(int,input().split())
getcontext().prec = 1000
if a + b >= c:
  print('No')
  sys.exit(0)
if Decimal(c).sqrt() - Decimal(a).sqrt() < 0:
  print('No')
  sys.exit(0)
if Decimal(c).sqrt() - Decimal(b).sqrt() < 0:
  print('No')
  sys.exit(0)
if Decimal(a).sqrt() + Decimal(b).sqrt() < Decimal(c).sqrt():
  print('Yes')
  sys.exit(0)
print('No')