#2730
Find the Longest Semi-Repetitive Substring
MediumStringSliding WindowSliding WindowTwo Pointers
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(1) |
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Intuition
Time O(n)Space O(1)
Using a sliding window approach allows us to efficiently find the longest semi-repetitive substring without generating all possible substrings. This method keeps track of the number of adjacent pairs as we expand and contract our window.
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Algorithm
4 steps- 1Step 1: Initialize two pointers (left and right) to represent the current window and a variable to count adjacent pairs.
- 2Step 2: Expand the right pointer to include new characters in the window, updating the count of adjacent pairs.
- 3Step 3: If the count of adjacent pairs exceeds 1, move the left pointer to reduce the size of the window until the count is valid again.
- 4Step 4: Keep track of the maximum length of valid windows during the process.
solution.py20 lines
1# Full working Python code
2
3def longest_semi_repetitive_substring(s):
4 left = 0
5 max_length = 0
6 adjacent_count = 0
7 n = len(s)
8
9 for right in range(n):
10 if right > 0 and s[right] == s[right - 1]:
11 adjacent_count += 1
12 while adjacent_count > 1:
13 if s[left] == s[left + 1]:
14 adjacent_count -= 1
15 left += 1
16 max_length = max(max_length, right - left + 1)
17 return max_length
18
19# Example usage
20print(longest_semi_repetitive_substring('52233'))ℹ
Complexity note: The time complexity is O(n) because we only traverse the string once with the two pointers. The space complexity is O(1) since we are using a fixed amount of extra space.
- 1Understanding the definition of semi-repetitive is crucial to solving the problem correctly.
- 2Using a sliding window technique can significantly optimize the solution by avoiding unnecessary checks.
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