Power Set | Same as Subsets | Magic Of Recursion | Recursion Concepts And Questions
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This is the 16th video of our playlist "Recursion Concepts And Questions". Find the Details below :
Video Name : Power Set | Same as Subsets | Magic Of Recursion | Recursion Concepts And Questions Inbox
Video # : 16
C++/Java Code Link : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Recursion/Power%20Set.cpp
GFG Link : https://www.geeksforgeeks.org/problems/power-set4302/1
π Unraveling Recursion: A Journey into the Depths of Code
π₯ Welcome to the 16th Video of my Recursion Playlist! π In this enlightening video, we will solve another very famous recursion/backtracking problem "Power Set". 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 π. We will be solving it using the same approach as the Subsets problem.
Subsets Video - https://www.youtube.com/watch?v=p4bP_FIXGWw
π What's Inside?
π Simple story understanding with Tree Diagram
π Converting Story to code and writing the recursive code for Power Set problem
π Explanation of Time and Space Complexity of the code
π©βπ» Who Should Watch?
This playlist is for everyone but best suited for Freshers who are new to Recursion.
π 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 :
Time Complexity (T.C): O(n * 2^n) - For each index, there are two possibilities (either include or exclude the character). Copying each string to the result takes O(n).
Space Complexity (S.C): O(n) - The recursion tree depth will be at most n. Note that the space taken for storing the result is ignored in this analysis.
Summary: This approach uses recursion without a for loop. It explores all possible combinations of characters by considering two choices at each index. The time complexity is exponential, and the space complexity is linear.
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β¨ Timelinesβ¨
00:00 - Introduction
00:09 - Motivation (Bhashan)
01:14 - Problem Explanation
03:24 - Tree Diagram
06:53 - Story to code
08:47 - Time & Space Analysis
11:04 - Coding Live on Leetcode
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