#!/usr/bin/ruby -w

require 'fold.rb'


class Integer
  def bits
    return 0 if self <= 1
    return 1+(self/2).bits
  end
end

if $0 == __FILE__
  v, h, folds = get_args
  bits = v.bits + h.bits
  puts fold(v, h, folds).map{|i|sprintf "%0*b", bits, i-1}
end