#192
Word Frequency
MediumShellHash MapArray
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 leverages a single pass through the file to count word frequencies using a hash map, followed by sorting the results. This significantly reduces the time complexity compared to the brute-force approach.
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Algorithm
5 steps- 1Step 1: Read the contents of the file and split it into words.
- 2Step 2: Use a hash map to count the occurrences of each word in a single pass.
- 3Step 3: Convert the hash map to a list of tuples for sorting.
- 4Step 4: Sort the list based on frequency in descending order.
- 5Step 5: Print the sorted list.
solution.py7 lines
1from collections import Counter
2
3with open('words.txt') as f:
4 words = f.read().split()
5 counts = Counter(words)
6 for word, freq in counts.most_common():
7 print(word, freq)ℹ
Complexity note: The time complexity is O(n log n) due to the sorting step, while the space complexity is O(n) for storing the word counts in a hash map.
- 1Using a hash map allows for efficient counting of word frequencies.
- 2Sorting the results is necessary for presenting the output in the required order.
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