#1839
Longest Substring Of All Vowels in Order
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)
The optimal solution uses a sliding window approach to efficiently find the longest beautiful substring. By maintaining a window of characters that satisfies the conditions, we can avoid generating all substrings and instead focus on extending or shrinking our window based on the characters we encounter.
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Algorithm
4 steps- 1Step 1: Initialize two pointers (left and right) to the start of the string.
- 2Step 2: Expand the right pointer to include characters until the substring is no longer beautiful.
- 3Step 3: If the substring is beautiful, update the maximum length and try to expand the right pointer further.
- 4Step 4: If it becomes un-beautiful, move the left pointer to shrink the window until it becomes beautiful again.
solution.py14 lines
1def longestBeautifulSubstring(word):
2 vowels = 'aeiou'
3 left = 0
4 max_length = 0
5 count = {v: 0 for v in vowels}
6 for right in range(len(word)):
7 if word[right] in count:
8 count[word[right]] += 1
9 while count['a'] > count['e'] or count['e'] > count['i'] or count['i'] > count['o'] or count['o'] > count['u']:
10 count[word[left]] -= 1
11 left += 1
12 if all(count[v] > 0 for v in vowels):
13 max_length = max(max_length, right - left + 1)
14 return max_lengthℹ
Complexity note: The time complexity is O(n) because we make a single pass through the string with the two pointers. The space complexity is O(1) since we only use a fixed-size array to count the vowels.
- 1A substring must contain all vowels in order, which can be tracked using a sliding window.
- 2The problem can be efficiently solved using a two-pointer technique to maintain a valid substring.
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