Check if Number is a Sum of Powers of Three | Maths Proof | 3 Ways | Leetcode 1780 |codestorywithMIK
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Hi Everyone, this is the 21st video of our Playlist "Maths : Popular Interview Problems".
Now we will be solving a good Maths problem - Check if Number is a Sum of Powers of Three | Maths Proof | Multiple Approaches | Leetcode 1780 | codestorywithMIK
We will also see with Mathematical Proof and understand the pure maths behind the approach so that even beginners will be able to understand.
Problem Name : Check if Number is a Sum of Powers of Three | Maths Proof | Multiple Approaches | Leetcode 1780 | codestorywithMIK
Company Tags : will update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Mathematical/Check if Number is a Sum of Powers of Three.cpp
Leetcode Link : https://leetcode.com/problems/check-if-number-is-a-sum-of-powers-of-three
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Video Summary :
1) Using School Maths:
The idea is to find the highest power of 3 that is ≤ n.
Keep subtracting the largest possible power of 3 from n.
If n can be reduced to 0 without using the same power twice, return true; otherwise, return false.
2) Using Ternary Representation:
Convert n to base 3 (ternary).
If any digit in the ternary representation is 2, return false (since we can only use 0 or 1 powers of 3).
Otherwise, return true.
3) Using Take and Not Take (Recursion):
Explore two choices at each step: either take the current power of 3 or skip it.
If n becomes 0 in any recursive path, return true.
If no valid combination is found, return false.
This approach mimics the subset sum problem and is less efficient.
✨ Timelines✨
00:00 - Introduction
0:24 - Motivation
0:41 - Problem Explanation
2:09 - Approach-1 (School Maths)
13:57 - Coding Approach-1
16:13 - Approach-2 with Maths Proof (Ternary Representation)
19:18 - How to do Binary Represenataion
22:57 - How to do Ternary Represenataion
33:05 - Coding Approach-2
33:38 - Approach-3 (Simple Recursion)
39:39 - Coding Approach-3
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