Generate Parentheses | 2 Approaches | Magic Of Recursion | Recursion Concepts And Questions

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Published on February 25, 2024 3:48:07 PM ● Video Link: https://www.youtube.com/watch?v=7xkPbffc6w8

Duration: 39:44

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This is the 15th video of our playlist "Recursion Concepts And Questions". Find the Details below :

Video Name : Generate Parentheses | 2 Approaches | Magic Of Recursion | Recursion Concepts And Questions
Video # : 15
C++/Java Code Link : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Backtracking/Generate%20Parentheses.cpp
Leetcode Link : https://leetcode.com/problems/generate-parentheses/
GFG Link : https://www.geeksforgeeks.org/problems/generate-all-possible-parentheses/1


🔍 Unraveling Recursion: A Journey into the Depths of Code

🎥 Welcome to the 15th Video of my Recursion Playlist! 🚀 In this enlightening video, we will solve another very famous recursion/backtracking problem "Generate Parentheses". We will start with a Simple story as well as Tree Diagram for understanding the problem and then we will be Converting Story to code and writing the recursive code for the problem and also I will also be explaining the Time and Space Complexity of the code 🌐. We will be solving it using 2 Approaches.

🔍 What's Inside?

🔗 Simple story understanding with 2 Approaches along with Tree Diagram

🔗 Converting Story to code and writing the recursive code for Generate Parentheses problem

🔗 Explanation of Time and Space Complexity of the code

👩‍💻 Who Should Watch?

This playlist is for everyone but best suited for Freshers who are new to Recursion.

🚀 Embark on the Recursive Adventure Now!

My DP Concepts Playlist : https://youtu.be/7eLMOE1jnls
My Graph Concepts Playlist : https://youtu.be/5JGiZnr6B5w
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Approach Summary :
Approach-1 (Simple Recursion):

This approach uses a recursive function to generate all possible combinations of parentheses.
The isValid function checks whether a given combination is valid or not by maintaining a balance of open and close parentheses.
The main recursive function (generate) explores all possibilities by adding an open parenthesis and a close parenthesis in each recursive call.
T.C : O(2n* (2^(2n)) - Removing constant - O(n * (2^n))
S.C : O(2*n) - Removing constant - O(n * (2^n)) - recursion stack space - Max depth of recusion tree
Approach-2 (Smart Recursion):

This approach also uses a recursive function, but it is optimized to generate only valid combinations.
The generateAll function explores possibilities by only adding an open parenthesis when the count of open parentheses is less than n and adding a close parenthesis when the count of close parentheses is less than the count of open parentheses.
This approach avoids generating invalid combinations, reducing the overall time complexity.
T.C : O(2^n)
S.C : O(2*n) - Removing constant - O(n * (2^n)) - recursion stack space - Max depth of recusion tree

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✨ Timelines✨
00:00 - Introduction
00:10 - Motivation
01:04 - Problem Explanation
04:26 - Approach-1 Thought Process + Tree Diagram
10:50 - Story to Code + Trust in Recursion
18:59 - Approach-1 Time & Space Complexity
22:34 - Coding Approach-1
26:46 - Approach-2 Thought Process
36:02 - Approach-2 Time & Space Complexity
37:38 - Coding Approach-2

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