Howtosignalprocessing
- How do you find the maximum of a sliding window?
- What is window size in array?
- What is sliding window technique?
- Which data structure is used to solve the maximum sliding window problem with linear complexity?
How do you find the maximum of a sliding window?
Algorithm: Construct an array left[], which contains the maximum element till index i iterating from left to right. Construct an array right[], which contains the maximum element till index i iterating from right to left. For each window size of N – K + 1, the maximum element will be max(left[i], right[N – i + 1]).
What is window size in array?
Note: The window size varies from 1 to N. Explanation: The first element in the output indicates the maximum of minimums of all windows of size 1. Minimums of windows of size 1 are 10, 20, 30, 50, 10, 70 and 30.
What is sliding window technique?
Window Sliding Technique is a computational technique which aims to reduce the use of nested loop and replace it with a single loop, thereby reducing the time complexity.
Which data structure is used to solve the maximum sliding window problem with linear complexity?
Using a heap data structure
The intuition of using a max heap for a better solution to the problem can come from finding a maximum of K elements in less than O(K) time. Within every window, we can use a heap to store the K elements of the current and get the maximum element (top of the max heap) in O(log K) time.
