File System Groups

You are implementing a simplified file system with groups of users. Users can belong to multiple groups, and they have permissions associated with those groups. Given a list of commands to add users to groups or to check if two users have equivalent permissions, determine the outcome of each check. Example: Input: 5 add_group Alice Group1 add_group Bob Group2 check_permission Alice Bob add_group Alice Group2 check_permission Alice Bob Output: NO YES