#178
Rank Scores
MediumDatabaseHash 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)
This approach uses SQL's ranking functions to efficiently assign ranks based on scores without needing to compare each score individually. It leverages built-in functions to handle ties and ranking seamlessly.
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Algorithm
3 steps- 1Step 1: Use the DENSE_RANK() function to assign ranks based on scores.
- 2Step 2: Order the scores in descending order to ensure higher scores get lower rank numbers.
- 3Step 3: Select the score and its corresponding rank from the result.
solution.py2 lines
1SELECT score, DENSE_RANK() OVER (ORDER BY score DESC) AS rank
2FROM Scores;ℹ
Complexity note: The time complexity is O(n log n) due to the sorting step required for ranking, while space complexity is O(n) for storing the ranks.
- 1Using ranking functions like DENSE_RANK() simplifies the problem significantly.
- 2Understanding how to handle ties in ranking is crucial.
Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.