#217
Contains Duplicate
EasyArrayHash TableSortingHash 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 HashSet allows us to track the elements we have seen so far, making it easy to check for duplicates in a single pass through the array.
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Algorithm
5 steps- 1Step 1: Initialize an empty HashSet.
- 2Step 2: Loop through each element in the array.
- 3Step 3: For each element, check if it is already in the HashSet. If it is, return true.
- 4Step 4: If it is not in the HashSet, add it to the HashSet.
- 5Step 5: If the loop completes without finding duplicates, return false.
solution.py7 lines
1def containsDuplicate(nums):
2 seen = set()
3 for num in nums:
4 if num in seen:
5 return True
6 seen.add(num)
7 return Falseℹ
Complexity note: The time complexity is O(n) because we only pass through the array once. The space complexity is O(n) due to the HashSet storing up to n elements in the worst case.
- 1Using a HashSet allows for efficient duplicate checking.
- 2Brute force is simple but not practical for large inputs.
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