#49

Group Anagrams

Medium
ArrayHash TableStringSortingHash MapArray
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Approaches

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

Intuition

Time O(n * k log k)Space O(n)

The optimal solution uses a hash table to group anagrams by their sorted string representation. This way, we can efficiently categorize anagrams without comparing each string directly.

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Algorithm

3 steps
  1. 1Step 1: Create a hash map to store groups of anagrams, using the sorted string as the key.
  2. 2Step 2: For each string, sort it and use the sorted string as the key to group the original strings.
  3. 3Step 3: Collect all groups from the hash map into a list and return it.
solution.py8 lines
1from collections import defaultdict
2
3def groupAnagrams(strs):
4    anagrams = defaultdict(list)
5    for s in strs:
6        key = ''.join(sorted(s))
7        anagrams[key].append(s)
8    return list(anagrams.values())

Complexity note: The time complexity is O(n * k log k) because we sort each string (O(k log k)) and do this for n strings. The space complexity is O(n) for storing the grouped anagrams.

  • 1Anagrams can be identified by sorting their characters.
  • 2Using a hash map allows for efficient grouping of anagrams.

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