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: Wrong Answer)


i = gets.chomp.split(" ")

a = Math.sqrt(i[0].to_i.abs)
b = Math.sqrt(i[1].to_i.abs)
c = Math.sqrt(i[2].to_i.abs)

a *= -1 if i[0].to_i < 0
b *= -1 if i[1].to_i < 0
c *= -1 if i[2].to_i < 0

if a + b < c
  print("Yes")
else
  print("No")
end