Count the Number of Ideal Arrays | Detailed Explanation | Explained Maths | Leetcode 2338 | MIK

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Published on April 22, 2025 4:07:43 PM ● Video Link: https://www.youtube.com/watch?v=-3O4xMNjnUs

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Modular nCr using Fermat’s Little Theorem | Beginner Friendly Explanation | Code | codestorywithMIK -    • Modular nCr using Fermat’s Little The...  

Hi Everyone, this is the 29th video of our Playlist "Maths Playlist : Popular Interview Problems".
Now we will be solving a hard Maths problem - Count the Number of Ideal Arrays | Detailed Explanation | Explained Maths Behind it | Leetcode 2338 | 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 Ideal Arrays | Detailed Explanation | Explained Maths Behind it | Leetcode 2338 | codestorywithMIK
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My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Mathematical/Count the Number of Ideal Arrays.cpp
Leetcode Link : https://leetcode.com/problems/count-the-number-of-ideal-arrays/description/


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Video Summary :
The approach builds on the idea of forming divisibility chains where each element divides the next. We use DP to count how many such chains of different lengths can be formed up to maxValue. Then, for each chain length, we compute how many ways it can be placed in an array of size n using combinations (C(n-1, len-1)). Factorials and modular inverse help with efficient combination calculation. All results are computed modulo 109+7. The final answer is the sum of all valid combinations across chain lengths.

✨ Timelines✨
00:00 - Introduction
0:32 - Motivation
1:00 - Problem Explanation
3:37 - Brute Force - Recursion Memoization
9:37 - Coding Brute Force
16:26 - How to optimize
22:59 - Finding Count from different Sets of different length
33:30 - How to find count of sets
49:19 - Story To Code
1:03:44 - Coding it up

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