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)

# require 'complex'
require 'bigdecimal/math'

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

# if Math.sqrt(a) + Math.sqrt(b) < Math.sqrt(c)
#   puts "Yes"
# else
#   puts "No"
# end

# if a ** (1 / 2.0) + b ** (1 / 2.0) < c ** (1 / 2.0)
#   puts "Yes"
# else
#   puts "No"
# end

if BigMath::sqrt(BigDecimal(c), 1500) - BigMath::sqrt(BigDecimal(b), 1500) - BigMath::sqrt(BigDecimal(a), 1500) > 0
  puts "Yes"
else
  puts "No"
end