#2760
Longest Even Odd Subarray With Threshold
EasyArraySliding WindowSliding WindowTwo Pointers
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(1) |
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Intuition
Time O(n)Space O(1)
The optimal solution uses a sliding window approach to efficiently find the longest valid subarray without needing to check every possible combination.
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Algorithm
4 steps- 1Step 1: Initialize pointers for the start of the window and a variable for the maximum length.
- 2Step 2: Expand the window by moving the end pointer and check conditions for validity.
- 3Step 3: If the subarray becomes invalid, move the start pointer to the right until it becomes valid again.
- 4Step 4: Update the maximum length whenever a valid subarray is found.
solution.py14 lines
1def longest_even_odd_subarray(nums, threshold):
2 max_length = 0
3 n = len(nums)
4 start = 0
5 while start < n:
6 if nums[start] % 2 == 0:
7 end = start
8 current_length = 1
9 while end + 1 < n and nums[end + 1] <= threshold and nums[end + 1] % 2 != nums[end] % 2:
10 end += 1
11 current_length += 1
12 max_length = max(max_length, current_length)
13 start += 1
14 return max_lengthℹ
Complexity note: The time complexity is O(n) because we only traverse the array once with the sliding window technique. The space complexity is O(1) since we are using a constant amount of extra space.
- 1The subarray must start with an even number and alternate between even and odd.
- 2All elements in the subarray must be less than or equal to the threshold.
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