class Integer
  def reverse
    to_s.reverse.to_i
  end
 
  def palindromic?
    reverse == self
  end
 
  def palindrome_add
    self + reverse
  end
end
 
def palindrome_steps(number)
  steps = [number]
  until number.palindromic?
    number = number.palindrome_add
    steps << number
  end
 
  return steps
end
 
def find_palindrome(number)
  palindrome_steps(number).last
end