Problem:
Score : 200 points

Problem Statement

Find the largest square number not exceeding N. Here, a square number is an integer that can be represented as the square of an integer.

Constraints

1 \leq N \leq 10^9

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the largest square number not exceeding N.

Sample Input 1

10

Sample Output 1

9

10 is not square, but 9 = 3 × 3 is. Thus, we print 9.

Sample Input 2

81

Sample Output 2

81

Sample Input 3

271828182

Sample Output 3

271821169

Solution in Ruby (2.3.3) (judge verdict: Accepted)

N = gets.to_i
if N == 1
  p 1
  exit
end
memo = []
1.upto(N) do |i|
  memo << i ** 2
  break if memo[-1] > N
end
p memo[-2]