Count Total Number of Colored Cells | Maths Proof | 2 Approaches | Leetcode 2579 | codestorywithMIK

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Hi Everyone, this is the 22nd video of our Playlist "Maths : Popular Interview Problems".
Now we will be solving a good Maths problem - Count Total Number of Colored Cells | Maths Proof | 2 Approaches | Leetcode 2579 | codestorywithMIK
We will also see with Mathematical Proof for the approach we come up with.

Problem Name : Count Total Number of Colored Cells | Maths Proof | 2 Approaches | Leetcode 2579 | codestorywithMIK
Company Tags : will update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Mathematical/Count Total Number of Colored Cells.cpp
Leetcode Link : https://leetcode.com/problems/count-total-number-of-colored-cells


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Video Summary :
Approach 1 (Simulation):
We start with a single colored cell and iteratively expand the pattern by adding layers around it. Each new layer contributes additional cells in a predictable manner, forming a growing diamond shape.

Approach 2 (Mathematical Formula):
Observing the pattern, we derive a formula that directly calculates the total number of colored cells at any given step. This eliminates the need for iteration by leveraging a quadratic expression based on triangular number sums.

✨ Timelines✨
00:00 - Introduction
0:25 - Motivation
0:51 - Problem Explanation
3:02 - Approach-1 (Simulation)
8:51 - Approach-2 (Maths Proof)
12:56 - Coding Approach-1 and Approach-2

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