problem43-solved.rb

#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.

solution = []
(0..9).to_a.permutation.to_a.map{|n| n.join.to_s}.each do |p|
	solution << p.to_i if p[1..3].to_i%2==0 && p[2..4].to_i%3==0 && p[3..5].to_i%5==0 && p[4..6].to_i%7==0 && p[5..7].to_i%11==0 && p[6..8].to_i%13==0 && p[7..9].to_i%17==0
end
puts solution.reduce(:+)