#3303
Find the Occurrence of First Almost Equal Substring
HardStringString MatchingSliding WindowTwo Pointers
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(1) |
💡
Intuition
Time O(n)Space O(1)
The optimal approach uses a sliding window technique to maintain a count of character differences between the current substring of `s` and `pattern`. This allows us to efficiently check each substring without needing to re-evaluate characters we've already checked.
⚙️
Algorithm
4 steps- 1Step 1: Initialize a variable to count character differences and a sliding window of size equal to the length of `pattern`.
- 2Step 2: Iterate through the first `m` characters of `s` to set up the initial difference count.
- 3Step 3: Slide the window across `s`, updating the difference count by removing the character that is sliding out and adding the character that is sliding in.
- 4Step 4: If the difference count is 1 or less at any point, return the starting index of that window.
solution.py16 lines
1def findAlmostEqualSubstring(s, pattern):
2 n, m = len(s), len(pattern)
3 diff_count = 0
4 for i in range(m):
5 if s[i] != pattern[i]:
6 diff_count += 1
7 if diff_count <= 1:
8 return 0
9 for i in range(m, n):
10 if s[i] != pattern[i - m]:
11 diff_count += 1
12 if s[i - m] != pattern[0]:
13 diff_count -= 1
14 if diff_count <= 1:
15 return i - m + 1
16 return -1ℹ
Complexity note: The time complexity is O(n) because we only make a single pass through `s`, maintaining a count of differences without needing to re-evaluate the entire substring each time.
- 1Understanding the concept of character differences is crucial for solving substring problems.
- 2Using a sliding window approach can significantly reduce time complexity.
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