Make Lexicographically Smallest Array by Swapping Elements | Brute Force | Optimal | Leetcode 2948

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Published on January 25, 2025 3:52:35 AM ● Video Link: https://www.youtube.com/watch?v=_rQ4lJlI6nI

Game:

Brute Force (2003)

Duration: 0:00

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Hi Everyone, this is the 139th video of our Playlist "Arrays 1D/2D : Popular Interview Problems".
Now we will be solving a very good problem based on 2D Array - Make Lexicographically Smallest Array by Swapping Elements | Brute Force | Optimal | Leetcode 2948 | codestorywithMIK
I will do the full dry runs to understand everything in detail.

Problem Name : Make Lexicographically Smallest Array by Swapping Elements | Brute Force | Optimal | Leetcode 2948 | codestorywithMIK
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My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Arrays/Make Lexicographically Smallest Array by Swapping Elements.cpp
Leetcode Link : https://leetcode.com/problems/make-lexicographically-smallest-array-by-swapping-elements/


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Video Summary :
Approach 1: Brute Force
Thought Process and Intuition: The brute force approach revolves around iteratively making the array lexicographically smaller by swapping elements. At each index, the algorithm tries to find the smallest valid number (based on the limit constraint) in the remaining portion of the array and swaps it with the current number. This process is repeated until no smaller valid number can be found for the current position. The intuition is straightforward: repeatedly bring the smallest possible valid element to the front, one position at a time, until the array is sorted as desired.

Approach 2: Sorting and Grouping
Thought Process and Intuition: This approach leverages sorting to preprocess the numbers and group them based on the limit constraint. After sorting, numbers that differ by at most limit are placed in the same group. The intuition is that sorting helps identify groups of numbers that can be swapped without violating the limit constraint. Using maps and lists, the algorithm ensures that each group maintains its smallest unused element, which can be efficiently used to construct the final lexicographically smallest array.


✨ Timelines✨
00:00 - Introduction
00:16 - Motivation
04:04 - Approach-1 Brute Force + Dry Run
18:36 - Coding Approach-1
22:33 - Approach-2 building intuition
39:39 - Dry Run
49:31 - Coding Approach-2

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