#1800

Maximum Ascending Subarray Sum

Easy
ArrayTwo PointersSliding WindowArray
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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 single pass through the array, maintaining a running sum of the current ascending subarray and updating the maximum sum as needed. This is efficient and avoids unnecessary calculations.

⚙️

Algorithm

5 steps
  1. 1Step 1: Initialize variables for the maximum sum and the current sum.
  2. 2Step 2: Iterate through the array starting from the second element.
  3. 3Step 3: If the current element is greater than the previous one, add it to the current sum.
  4. 4Step 4: If not, reset the current sum to the current element.
  5. 5Step 5: Update the maximum sum if the current sum exceeds it.
solution.py9 lines
1def maxAscendingSum(nums):
2    max_sum = current_sum = nums[0]
3    for i in range(1, len(nums)):
4        if nums[i] > nums[i - 1]:
5            current_sum += nums[i]
6        else:
7            current_sum = nums[i]
8        max_sum = max(max_sum, current_sum)
9    return max_sum

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

  • 1The end of an ascending subarray marks the start of a new potential subarray.
  • 2Tracking the current sum allows for efficient updates without re-evaluating previous elements.

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