Lexicographical Numbers | Simple DFS | Leetcode 386 | codestorywithMIK
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This is the 6th Video of our Playlist "Recursion : Popular Interview Problems" by codestorywithMIK
In this video we will try to solve a simple DFS problem : Lexicographical Numbers | Simple DFS | Leetcode 386 | codestorywithMIK
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 : Lexicographical Numbers | Simple DFS | Leetcode 386 | codestorywithMIK
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My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Intervie...
Leetcode Link : https://leetcode.com/problems/lexicog...
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Summary :
The approach used above is based on a Depth-First Search (DFS) to generate numbers in lexicographical order. Here's a summary:
Recursive DFS Traversal: The solve method explores all possible numbers that can be formed by appending digits (0-9) to the current number. It starts with numbers from 1 to 9 (as lexicographical order starts from 1) and recursively generates subsequent numbers by multiplying the current number by 10 and adding a digit.
Termination Condition: The recursion stops when the next number exceeds the given limit n.
Efficiency: By generating the next number in a controlled manner (starting with 1-9, then 10-99, etc.), the algorithm avoids sorting, as it directly produces numbers in lexicographical order.
Result Storage: The valid numbers are stored in a List as they are generated and returned as the final result.
This approach efficiently constructs the lexicographical sequence of numbers without sorting, using DFS to ensure all possible numbers are explored in the correct order.
✨ Timelines✨
00:00 - Introduction
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