#2760

Longest Even Odd Subarray With Threshold

Easy
ArraySliding WindowSliding WindowTwo Pointers
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n)
Space
O(1)
O(1)
💡

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.

⚙️

Algorithm

4 steps
  1. 1Step 1: Initialize pointers for the start of the window and a variable for the maximum length.
  2. 2Step 2: Expand the window by moving the end pointer and check conditions for validity.
  3. 3Step 3: If the subarray becomes invalid, move the start pointer to the right until it becomes valid again.
  4. 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_length

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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