#3325
Count Substrings With K-Frequency Characters I
MediumHash TableStringSliding WindowHash MapSliding Window
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n)Space O(n)
The optimal solution uses a sliding window technique combined with a frequency map to efficiently count valid substrings. By fixing the left index and expanding the right index, we can quickly determine when a substring meets the k-frequency condition without generating all possible substrings.
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Algorithm
3 steps- 1Step 1: Initialize a frequency map and two pointers (left and right).
- 2Step 2: For each left index, expand the right pointer until the substring has a character with at least k occurrences.
- 3Step 3: Count all valid substrings starting from the current left index to the end of the string.
solution.py14 lines
1def countSubstrings(s, k):
2 count = 0
3 n = len(s)
4 for left in range(n):
5 freq = {}
6 valid_count = 0
7 for right in range(left, n):
8 freq[s[right]] = freq.get(s[right], 0) + 1
9 if freq[s[right]] == k:
10 valid_count += 1
11 if valid_count > 0:
12 count += n - right
13 break
14 return countℹ
Complexity note: This complexity is due to the linear traversal of the string with a sliding window approach, where we maintain a frequency map that can grow with the number of unique characters.
- 1Understanding frequency counts is crucial for solving substring problems.
- 2Sliding window techniques can significantly optimize the search for valid substrings.
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