euler_55.rb

require_relative 'lib/lychrel'

# http://projecteuler.net/problem=55

# If we take 47, reverse and add, 47 + 74 = 121, which is palindromic.

# Not all numbers produce palindromes so quickly. For example,

# 349 + 943 = 1292,
# 1292 + 2921 = 4213
# 4213 + 3124 = 7337

# That is, 349 took three iterations to arrive at a palindrome.

# # Although no one has proved it yet, it is thought that some numbers, like 196, never produce a palindrome. 
# A number that never forms a palindrome through the reverse and add process is called a Lychrel number. 
# Due to the theoretical nature of these numbers, and for the purpose of this problem, we shall assume that a 
# number is Lychrel until proven otherwise. In addition you are given that for 
# every number below ten-thousand, it will either (i) become a palindrome in less than 
# fifty iterations, or, (ii) no one, with all the computing power that exists, 
# has managed so far to map it to a palindrome. 

# Surprisingly, there are palindromic numbers that are themselves Lychrel numbers; the first example is 4994.

# How many Lychrel numbers are there below ten-thousand?

count = 0

(1..10000).each do |number|
	count += 1 if Lychrel.is_lychrel(number)
end

puts count