#619
Biggest Single Number
EasyDatabaseHash MapArray
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n)Space O(n)
Using a hash map, we can efficiently count occurrences of each number in a single pass. Then, we can find the maximum single number in a second pass, making this approach much faster.
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Algorithm
5 steps- 1Step 1: Create a hash map to count occurrences of each number.
- 2Step 2: Traverse the MyNumbers table and populate the hash map with counts.
- 3Step 3: Initialize a variable to track the maximum single number.
- 4Step 4: Traverse the hash map to find the maximum key with a count of 1.
- 5Step 5: If no single number is found, return null; otherwise, return the maximum single number.
solution.py2 lines
1# Full working Python code
2SELECT MAX(num) AS num FROM MyNumbers WHERE num IN (SELECT num FROM MyNumbers GROUP BY num HAVING COUNT(*) = 1);ℹ
Complexity note: This complexity is linear because we traverse the list of numbers twice — once for counting and once for finding the maximum single number.
- 1Using a hash map can significantly reduce time complexity.
- 2Understanding how to count occurrences is crucial for this problem.
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