from collections import deque # N = int(input()) # TODO: time to limit N = 2343 queue = deque([{"count":1, "position":1}]) passed_position = {1} result = -1 while queue: q = queue.popleft() print(q) current_position = q["position"] current_count = q["count"] if current_position == N: result = current_count break if current_position < N: steps = bin(current_position).count("1") forward_position = current_position + steps backward_position = current_position - steps if forward_position not in passed_position and 1 < forward_position <= N: passed_position.add(forward_position) queue.append({"count":current_count+1, "position":forward_position}) if backward_position not in passed_position and 1 < backward_position <= N: passed_position.add(backward_position) queue.append({"count":current_count+1, "position":backward_position}) print(result)