#692

Top K Frequent Words

Medium
ArrayHash TableStringTrieSortingHeap (Priority Queue)Bucket SortCountingHash MapHeap (Priority Queue)
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Approaches

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

Intuition

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

The optimal approach uses a heap (priority queue) to efficiently keep track of the top k frequent words. This reduces the sorting overhead and allows us to maintain only the necessary elements.

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Algorithm

3 steps
  1. 1Step 1: Count the frequency of each word using a dictionary.
  2. 2Step 2: Use a min-heap to keep track of the top k elements based on frequency and lexicographical order.
  3. 3Step 3: Extract the elements from the heap and return them in the required order.
solution.py6 lines
1from collections import Counter
2import heapq
3
4def topKFrequent(words, k):
5    count = Counter(words)
6    return heapq.nsmallest(k, count.keys(), key=lambda x: (-count[x], x))

Complexity note: The time complexity is O(n log k) because we maintain a min-heap of size k, which allows us to efficiently keep track of the top k elements. Counting frequencies takes O(n), and each insertion into the heap takes O(log k).

  • 1Using a heap allows us to efficiently manage the top k elements without sorting the entire list.
  • 2Sorting by frequency and then lexicographically can be achieved with custom sorting functions.

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