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 Ruby (2.3.3) (judge verdict: Runtime Error)


require 'bigdecimal'
require 'bigdecimal/math'

a,b,c = gets.split(' ').map(&:to_i)


left = Bigdecimal(sqrt(a))  + Bigdecimal(sqrt(b)) 
right = Bigdecimal(sqrt(c)) 

if left < right then
  print("Yes") 
else
  print("No") 
end