#3138
Minimum Length of Anagram Concatenation
MediumHash TableStringCountingHash MapArray
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 approach leverages the frequency of characters in the string s. We can determine the minimum length of t by finding the maximum frequency of any character and dividing the total length of s by this frequency.
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Algorithm
3 steps- 1Step 1: Count the frequency of each character in the string s.
- 2Step 2: Find the maximum frequency among these counts.
- 3Step 3: The minimum length of t is the total length of s divided by this maximum frequency.
solution.py8 lines
1# Full working Python code
2
3def min_length_anagram(s):
4 from collections import Counter
5 count = Counter(s)
6 max_freq = max(count.values())
7 return len(s) // max_freq
8ℹ
Complexity note: The time complexity is O(n) because we only traverse the string a couple of times to count frequencies and find the maximum frequency.
- 1The minimum length of t must be a divisor of the length of s.
- 2The maximum frequency of any character directly determines the minimum length of t.
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