Minimum Difference Between Highest and Lowest of K Scores | LeetCode 1984 🔥 Sliding Window

Описание: In this video, we’ll solve the “Minimum Difference” problem step by step using a simple and efficient approach.

🔍 Problem Idea:
Given an array of numbers and a value k, we need to pick any k elements such that the difference between the maximum and minimum among them is as small as possible.

🧠 Key Insight:
If we sort the array, the closest k numbers will always appear next to each other. This allows us to avoid checking all combinations.

⚙️ Approach Explained:

Sort the array so numbers are in increasing order.
Use a sliding window of size k.

For each window:
The minimum is the first element
The maximum is the last element
Compute the difference.
Keep track of the minimum difference found.

📈 Why This Works Efficiently:

Sorting ensures nearby numbers are close in value.
Sliding window reduces time complexity to O(n log n).

🛠 Edge Cases Covered:

Works for any order of input numbers
Handles large values safely using infinity

📌 By the end of this video, you’ll understand:

Why sorting is crucial
How sliding window simplifies the problem

How to think optimally for interview questions

Perfect for coding interviews, DSA practice, and LeetCode prep 🚀

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