Max Sum Subarray of Size K Visualization & Animation

Finds the maximum sum of any k consecutive elements using a fixed-size sliding window in O(n).

## What is it? Find the maximum sum of any contiguous subarray of exactly size `k`. Fixed-size sliding window technique. ## How it works - Compute the sum of the first `k` elements → initial window sum - Slide the window right one position at a time: - Add `arr[i]` (incoming right element) - Subtract `arr[i-k]` (outgoing left element) - Update `maxSum` if current window sum is larger - Return `maxSum` ## When to use - Fixed-size window sum queries - Average of every k consecutive elements - Foundation for variable-size sliding window problems ## Key Points - O(n) time, O(1) space — avoid recomputing the entire window sum each time - Classic entry-point for the sliding window pattern - For variable window size (at most / at least k), use the two-pointer variant

Category: algorithms

Difficulty: intermediate

Time Complexity: O(n)

Space Complexity: O(1)

Max Sum Subarray of Size K

intermediate

Finds the maximum sum of any k consecutive elements using a fixed-size sliding window in O(n).

sum 8
max 8
New Max!
 
 
 
 
 
 
 
 
2
[0]
1
[1]
5
[2]
1
[3]
3
[4]
2
[5]
4
[6]
1
[7]
In window
Entered / Result
Removed
Outside
First window [0..2]: sum = 8. This is our initial max.