#451
Sort Characters By Frequency
MediumHash TableStringSortingHeap (Priority Queue)Bucket SortCountingHash MapHeap
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n log n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n log n)Space O(n)
The optimal solution uses a frequency map and a max heap (priority queue) to efficiently sort characters by their frequency. This approach is faster and scales better with larger inputs.
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Algorithm
3 steps- 1Step 1: Count the frequency of each character using a HashMap.
- 2Step 2: Use a max heap to store characters based on their frequencies.
- 3Step 3: Construct the result string by repeatedly extracting characters from the heap.
solution.py13 lines
1# Full working Python code
2import heapq
3from collections import Counter
4
5def frequencySort(s):
6 freq = Counter(s)
7 max_heap = [(-count, char) for char, count in freq.items()]
8 heapq.heapify(max_heap)
9 result = []
10 while max_heap:
11 count, char = heapq.heappop(max_heap)
12 result.append(char * -count)
13 return ''.join(result)ℹ
Complexity note: The time complexity is O(n log n) due to the heap operations for sorting the characters. The space complexity is O(n) because we store the frequency of each character.
- 1Using a frequency map is essential for counting occurrences efficiently.
- 2Max heaps are useful for sorting elements based on custom criteria.
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