Sliding Window Maximum
Explore how to apply the sliding window technique to efficiently find maximum values within a moving window across an integer array. This lesson guides you through understanding the problem constraints and implementing a solution that optimizes both time and space complexity, helping you solve this common coding interview pattern with confidence.
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Statement
You are given an array of integers nums and a sliding window of size w that moves from left to right across the array, shifting one position at a time.
Your task is to find the maximum value within the current window at each step and return it.
Constraints:
nums.lengthnums[i]wnums.length
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps us to check if you’re solving the correct problem:
Find Maximum in Sliding Window
What should be the output if the following input is given?
nums = [-4, 5, 4, -4, 4, 6, 7, 20]
w = 2
[5, 4, 6, 20]
[5, 20]
[5, 5, 4, 4, 6, 7, 20]
[5, 5, 4, 6, 6]
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in the following coding playground:
def find_max_sliding_window(nums, w):# Replace this placeholder return statement with your codereturn []