Removing Stars From a String — LeetCode #2390 (Medium)
Tags: String, Stack, Simulation
Related patterns: Stack, Simulation
Brute Force approach
Time complexity: O(n²). Space complexity: O(1).
The brute force approach involves iterating through the string and removing characters as we encounter stars. For each star, we find and remove the closest non-star character to its left, which can be inefficient.
The time complexity is O(n²) because for each star, we may need to traverse the result string to remove the last character, leading to a quadratic number of operations in the worst case.
- Step 1: Initialize an empty result string.
- Step 2: Iterate through each character in the string.
- Step 3: If the character is not a star, add it to the result string.
- Step 4: If the character is a star, remove the last character added to the result string (if any).
Input: 'leet**cod*e'
1. Initialize result = ''
2. Read 'l' -> result = 'l'
3. Read 'e' -> result = 'le'
4. Read 'e' -> result = 'lee'
5. Read 't' -> result = 'leet'
6. Read '*' -> result = 'lee' (remove 't')
7. Read '*' -> result = 'le' (remove 'e')
8. Read 'c' -> result = 'lec'
9. Read 'o' -> result = 'leco'
10. Read 'd' -> result = 'lecod'
11. Read '*' -> result = 'lecoe' (remove 'd')
12. Read 'e' -> result = 'lecoe'
Optimal Solution approach
Time complexity: O(n). Space complexity: O(n).
Using a stack allows us to efficiently manage the characters as we process the string. When we encounter a star, we simply pop the last character from the stack, which represents the closest non-star character to the left.
The time complexity is O(n) because we process each character in the string once. The space complexity is O(n) in the worst case when there are no stars, and all characters are pushed onto the stack.
- Step 1: Initialize an empty stack.
- Step 2: Iterate through each character in the string.
- Step 3: If the character is not a star, push it onto the stack.
- Step 4: If the character is a star, pop the top character from the stack (if the stack is not empty).
- Step 5: After processing all characters, join the characters in the stack to form the result string.
Input: 'leet**cod*e'
1. Initialize stack = []
2. Read 'l' -> stack = ['l']
3. Read 'e' -> stack = ['l', 'e']
4. Read 'e' -> stack = ['l', 'e', 'e']
5. Read 't' -> stack = ['l', 'e', 'e', 't']
6. Read '*' -> stack = ['l', 'e', 'e'] (pop 't')
7. Read '*' -> stack = ['l', 'e'] (pop 'e')
8. Read 'c' -> stack = ['l', 'e', 'c']
9. Read 'o' -> stack = ['l', 'e', 'c', 'o']
10. Read 'd' -> stack = ['l', 'e', 'c', 'o', 'd']
11. Read '*' -> stack = ['l', 'e', 'c', 'o'] (pop 'd')
12. Final result = 'lecoe' from stack
Key Insights
- Using a stack helps manage the removal of characters efficiently.
- The problem can be visualized as a series of undo operations, which is what stacks are designed for.
Common Mistakes
- Not considering edge cases where multiple stars are adjacent.
- Failing to manage the stack correctly, leading to incorrect results.
Interview Tips
- Explain your thought process clearly while coding.
- Consider edge cases and discuss them with the interviewer.
- Practice stack-related problems to become comfortable with their operations.