#3471
Find the Largest Almost Missing Integer
EasyArrayHash TableHash 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)
Use a sliding window to efficiently count occurrences of integers in subarrays of size k without re-evaluating the entire subarray each time.
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Algorithm
3 steps- 1Step 1: Initialize a frequency map to count occurrences of integers in the first k elements.
- 2Step 2: Slide the window across the array, updating counts by removing the leftmost element and adding the new rightmost element.
- 3Step 3: Track integers that appear exactly once and return the largest.
solution.py12 lines
1def largest_almost_missing(nums, k):
2 from collections import defaultdict
3 count = defaultdict(int)
4 n = len(nums)
5 for i in range(k): count[nums[i]] += 1
6 result = -1
7 if count[nums[0]] == 1: result = nums[0]
8 for i in range(1, n - k + 1):
9 count[nums[i - 1]] -= 1
10 count[nums[i + k - 1]] += 1
11 if count[nums[i]] == 1: result = max(result, nums[i])
12 return resultℹ
Complexity note: The sliding window approach allows us to maintain counts efficiently, leading to linear time complexity.
- 1Use a sliding window for efficiency.
- 2Track counts dynamically to avoid redundant calculations.
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