GLaCOS (Genetic Lifeform and Cloud Operating System), your AI research assistant, had nothing to do lately, so you decided to create a little game for him to keep him entertained. You downloaded the cloud GLaCOS operates and stored it under the /root/devops/cloud directory. Here are the rules of the game you came up with.
There are a bunch of folders and files under the root/devops/cloud directory. The are two types of files in the system:
A hint. Each hint file starts with a line containing a single "Hint" word (without quotes or leading/trailing whitespace characters). The second line contains a sequence (possibly empty) of words "up" and "down", separated by a single whitespace character. Not a hint. It is guaranteed that the first line of the such a file is not "Hint". The goal of the game is to find a secret folder. It is known that there is a sequence of hints that leads to it, and that the first hint is called start.hint and is located in root/devops/cloud. Here's how to win the game starting with th