Construct the Lexicographically Largest Valid Sequence | Detailed | Leetcode 1718 | codestorywithMIK
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Hi Everyone, this is the 18th video of our Playlist "Backtracking : Popular Interview Problems".
Now we will be solving a good Backtracking practice problem - Construct the Lexicographically Largest Valid Sequence | Easiest Explanation | Thought Process | Leetcode 1718 | codestorywithMIK
I will explain how a beginner should explain this problem in an interview to leave a good impression and build a thought process from scratch.
Problem Name : Construct the Lexicographically Largest Valid Sequence | Easiest Explanation | Thought Process | Leetcode 1718 | codestorywithMIK
Company Tags : will update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Backtracking/Construct the Lexicographically Largest Valid Sequence.cpp
Leetcode Link : https://leetcode.com/problems/construct-the-lexicographically-largest-valid-sequence
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Segment Tree Concepts Playlist : • Segment Tree | Introduction | Basics ...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
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Difference Array Technique: Concepts & Qns : • Introduction | What | How | Differenc...
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Video Summary :
The approach uses backtracking to construct the sequence by placing the largest numbers first. The goal is to fill each position in the array with the largest unused number while ensuring that if a number is greater than 1, its second occurrence is placed at the correct distance apart. If a placement leads to a dead-end, the algorithm backtracks and tries a different number. Prioritizing larger numbers first ensures an optimal and valid sequence efficiently.
How a beginner should explain this problem in an interview:
Begin by explaining that the problem involves filling an array while maintaining specific constraints.
Highlight that backtracking is a natural approach because it allows exploring different placements recursively.
Clearly outline the decision-making process: prioritizing larger numbers first and ensuring valid placements.
Discuss edge cases, such as placing 1 (single occurrence) versus larger numbers (double placement).
Emphasize that the approach guarantees correctness due to the ordering strategy and backtracking corrections.
Conclude by explaining that this method efficiently finds the valid sequence while minimizing unnecessary computations.
✨ Timelines✨
00:00 - Introduction
00:31 - Motivation
01:09 - Problem Explanation
06:33 - Thought Process From Scratch
13:53 - How I will answer in an Interview
18:21 - Tree Diagram
26:34 - Dry Run - Story To Code
32:05 - Time and Space Complexity
33:31 - Coding it up
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