#2089
Find Target Indices After Sorting Array
EasyArrayBinary SearchSortingSortingArray
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 involves sorting the array and then using a single pass to find the indices of the target. This is efficient because we only need to sort once and can gather indices in a single traversal.
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Algorithm
5 steps- 1Step 1: Sort the array nums.
- 2Step 2: Initialize an empty list to store the target indices.
- 3Step 3: Iterate through the sorted array and check if each element equals the target.
- 4Step 4: If it does, append the current index to the list.
- 5Step 5: Return the list of target indices.
solution.py5 lines
1# Full working Python code
2
3def target_indices(nums, target):
4 sorted_nums = sorted(nums)
5 return [i for i, num in enumerate(sorted_nums) if num == target]ℹ
Complexity note: The time complexity is O(n log n) due to the sorting step, and the space complexity is O(n) for storing the sorted array and the indices.
- 1Sorting is essential to find target indices efficiently.
- 2Using a single pass after sorting can optimize the search for indices.
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