#2765

Longest Alternating Subarray

Easy
ArrayEnumerationArrayTwo 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 approach leverages a single pass through the array to count the length of valid alternating subarrays. This is efficient because we only need to check adjacent elements once.

⚙️

Algorithm

5 steps
  1. 1Step 1: Initialize a variable to keep track of the current length of the alternating subarray and a maximum length variable.
  2. 2Step 2: Loop through the array starting from the second element.
  3. 3Step 3: For each element, check if it alternates with the previous one. If it does, increment the current length; otherwise, reset it.
  4. 4Step 4: Update the maximum length if the current length exceeds it.
  5. 5Step 5: Return the maximum length found, or -1 if no valid subarray exists.
solution.py12 lines
1def longestAlternatingSubarray(nums):
2    max_length = -1
3    current_length = 0
4    n = len(nums)
5    for i in range(1, n):
6        if nums[i] == nums[i - 1] + 1 or nums[i] == nums[i - 1] - 1:
7            current_length += 1
8            if current_length > 0:
9                max_length = max(max_length, current_length + 1)
10        else:
11            current_length = 0
12    return max_length if max_length > 1 else -1

Complexity note: The time complexity is O(n) because we only pass through the array once. The space complexity is O(1) since we only use a few variables for tracking lengths.

  • 1The alternating pattern can be identified by checking the difference between adjacent elements.
  • 2The problem can be solved efficiently with a single pass through the array.

Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.