euler_43.rb

require_relative 'lib/pandigital'

# http://projecteuler.net/problem=43

# The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.

# Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:

# d2d3d4=406 is divisible by 2
# d3d4d5=063 is divisible by 3
# d4d5d6=635 is divisible by 5
# d5d6d7=357 is divisible by 7
# d6d7d8=572 is divisible by 11
# d7d8d9=728 is divisible by 13
# d8d9d10=289 is divisible by 17

# Find the sum of all 0 to 9 pandigital numbers with this property.

pandigital_array = Pandigital.pandigital_array_maker(10, 0)

puts pandigital_array[-10..-1]


sum_of_divisible_pandigitals = 0

pandigital_array.each do |pandigital_number|
	divisbility_status = Pandigital.sub_string_divisibility(pandigital_number)
	sum_of_divisible_pandigitals += pandigital_number.to_i if divisbility_status
	puts pandigital_number if divisbility_status
end

puts sum_of_divisible_pandigitals