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)

# frozen_string_literal: true
(a, b, c) = gets.split(" ").map(&:to_i)
ab = 4 * a * b
tmp = (c - a - b) * (c - a - b)
ans = ""
if (ab < tmp)
    ans = "Yes"
else
    ans = "No"
end
puts(ans)