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Sliding Window Maximum

Explore how to solve the sliding window maximum problem by learning to efficiently track the maximum value in a fixed-size moving window within an array. This lesson helps you apply the sliding window technique, critical for substring and subarray challenges in coding interviews.

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:

  • 11 \leq nums.length 103\leq 10^3

  • 104-10^4 \leq nums[i] 104\leq 10^4

  • 11 \leq w \leq nums.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

1.

What should be the output if the following input is given?

nums = [-4, 5, 4, -4, 4, 6, 7, 20]

w = 2

A.

[5, 4, 6, 20]

B.

[5, 20]

C.

[5, 5, 4, 4, 6, 7, 20]

D.

[5, 5, 4, 6, 6]


1 / 4

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.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

1
2
3
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5
6

Try it yourself

Implement your solution in the following coding playground:

C++
usercode > main.cpp
vector<int> FindMaxSlidingWindow(vector<int>& nums, int w) {
// Replace this placeholder return statement with your code
return {};
}
Sliding Window Maximum