Count the Number of Arrays with K Matching Adjacent Elements | Detailed Approach | Leetcode 3405

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Modular nCr using Fermat’s Little Theorem | Beginner Friendly Explanation | Code | codestorywithMIK - https://www.youtube.com/watch?v=FMBW7m1Wap0
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Hi Everyone, this is the 32nd video of our Playlist "Maths Playlist : Popular Interview Problems".
Now we will be solving an good level Maths Combinatorics problem - Count the Number of Arrays with K Matching Adjacent Elements | Detailed Approach | Leetcode 3405 | codestorywithMIK

We will break it down into simple steps to make it easier to understand. We will deep dive into the Maths behind it.

Problem Name : Count the Number of Arrays with K Matching Adjacent Elements | Detailed Approach | Leetcode 3405 | codestorywithMIK
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My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Mathematical/Count%20the%20Number%20of%20Arrays%20with%20K%20Matching%20Adjacent%20Elements.cpp
Leetcode Link : https://leetcode.com/problems/count-the-number-of-arrays-with-k-matching-adjacent-elements
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Video Summary :
We precompute factorials and their modular inverses using Fermat's Little Theorem to efficiently calculate combinations. The total number of good arrays is determined by choosing k adjacent equal positions using n-1Ck, multiplying by m options for the first element, and then (m - 1)^(n - k - 1) for the remaining positions. Binary exponentiation is used for efficient power calculation.
✨ Timelines✨
00:00 - Introduction
0:21 - Motivation
0:37 - Problem Explanation
2:53 - How to identify the topic ? Why not Backtracking/Recursion ?
5:13 - Using Combinatorics to find result
16:16 - Why it is marked Hard ?
18:46 - Prerequisites
21:00 - coding it up

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