Problem Description
Given a list of log operations representing directory changes in a file system, determine how many steps are needed to return to the main folder. The operations include:
- "x/": Move to a child directory named x.
- "../": Move up to the parent directory (if not already at the main folder).
- "./": Remain in the same directory.
The goal is to simulate the operations and return the current depth, which indicates how many "../" operations are required to return to the main folder.
Key Insights
- The problem can be approached by simulating the file system operations using a counter or stack.
- Increment the counter for moving into a subdirectory.
- Decrement the counter for moving to the parent directory (ensuring it doesn’t go below zero).
- Ignore operations that do not change the directory (like "./").
Space and Time Complexity
Time Complexity: O(n) - Each log is processed once. Space Complexity: O(1) - Only a counter is used (or O(n) if using a stack, but unnecessary for this problem).
Solution
We use a counter to track the current directory depth. For each log, we check:
- If the operation is "../" and the counter is greater than 0, we decrement the counter.
- If the operation is "./", we do nothing.
- Otherwise, we increment the counter as we enter a subdirectory. At the end of the simulation, the counter value equals the minimum number of "../" operations needed to return to the main folder.