n = gets.to_i def to_binary(x) binary_str = '' until x == 0 || x == 1 binary_str += (x % 2).to_s x /= 2 end binary_str += x.to_s binary_str.reverse end def get_distance(current) to_binary(current).split('').map(&:to_i).inject(:+) end def move(histories, n, passed) next_histories = histories.map do |history| distance = get_distance(history.last) [ history.dup + [history.last + distance], history.dup + [history.last - distance] ].reject do |new_history| next_position = new_history.last return new_history if next_position == n next true if passed.include?(new_history.last) next true if next_position < 1 || next_position > n false end end.flatten(1).uniq {|history| history.last} return [] if next_histories.empty? passed += next_histories.map(&:last) move(next_histories, n, passed) end def move_to_goal(n) return [1] if n == 1 move([[1]], n, []) end result = move_to_goal(n) puts result.empty? ? -1 : result.length