Maximum Beauty of an Array After Applying Operation | 3 Approaches | Leetcode 2779 |codestorywithMIK

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This is the 130th Video of our Playlist "Arrays 1D/2D Search : Popular Interview Problems" by codestorywithMIK

In this video we will try to solve a good Array problem : Maximum Beauty of an Array After Applying Operation | 3 Detailed Approaches | Leetcode 2779 | codestorywithMIK
This problem is specially detailed for beginners and hence it's a little lengthy. Hope this video helps to build the thought process.
I have also shared one different approach which is not present in Leetcode Editorial.

I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.

Problem Name : Maximum Beauty of an Array After Applying Operation | 3 Detailed Approaches | Leetcode 2779 | codestorywithMIK
Company Tags : will update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Arrays/Intervals_Based_Qn/Maximum Beauty of an Array After Applying Operation.cpp
Leetcode Link : https://leetcode.com/problems/maximum-beauty-of-an-array-after-applying-operation


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Summary :
Approach-1 (Converting to Intervals and Using Deque)
Idea: Convert each number in the array to a range [num - k, num + k] and determine the maximum overlapping ranges.
Steps:
Generate ranges and sort them by start points.
Use a deque to track overlapping ranges dynamically.
Update the maximum count of overlapping intervals

Approach-2 (Sorting and Binary Search)
Idea: For each number, find the farthest number within a valid range [num,num+2×k] using binary search.
Steps:
Sort the array.
For each number, use a binary search to find the upper bound of the valid range.
Compute the size of the range and update the maximum.
Time Complexity: O(nlogn) (sorting and binary search).
Space Complexity: O(1) (in-place operations).
Approach-3 (Using Sliding Window)
Idea: Use two pointers to maintain a sliding window of numbers that fit within the range [nums[i],nums[i]+2×k].
Steps:
Sort the array.
Use two pointers to expand and shrink the window dynamically.
Track the maximum window size.

✨ Timelines✨
00:00 - Introduction
0:30 - Motivation
1:27 - Problem Explanation
3:52 - Approach-1 Thought Process
23:26 - Coding Approach-1
29:43 - Approach-2 Thought Process
44:00 - Coding Approach-2
48:15 - Approach-3 Thought Process
57:00 - Coding Approach-3


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