Problem Description
Given a string s, determine if it is valid. A string s is valid if, starting with an empty string t, you can transform t into s by repeatedly inserting the substring "abc" at any position.
Key Insights
- The problem can be solved by simulating the reversal of the insertion process.
- Use a stack to process characters one by one.
- Whenever the last three characters in the stack form the substring "abc", remove them as they represent a valid insertion.
- The string is valid if, after processing all characters, the stack is empty.
Space and Time Complexity
Time Complexity: O(n), where n is the length of s since we process each character once. Space Complexity: O(n) in the worst case when the stack holds all characters.
Solution
We use a stack to remove any complete occurrences of "abc". As we iterate over the string, each character is pushed onto the stack. Whenever the top three characters form the substring "abc", they are popped out of the stack. The final string is valid only if the stack is empty after processing.