#3138

Minimum Length of Anagram Concatenation

Medium
Hash TableStringCountingHash MapArray
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n)
Space
O(1)
O(1)
💡

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
  1. 1Step 1: Count the frequency of each character in the string s.
  2. 2Step 2: Find the maximum frequency among these counts.
  3. 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
8

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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