Count of Interesting Subarrays | Using Studied Concept | Dry Run | Leetcode 2845 | codestorywithMIK

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Published on April 25, 2025 1:17:22 PM ● Video Link: https://www.youtube.com/watch?v=MTQWe8qHcz0

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Leetcode - 974 (Subarray Sums Divisible by K) -    • Subarray Sums Divisible by K | Brute ...  

Hi Everyone, this is the 149th video of our Playlist "Arrays 1D/2D : Popular Interview Problems".
Now we will be solving a good array prefix-sum problem - Count of Interesting Subarrays | Using Studied Concept | Detailed | Dry Run | Leetcode 2845 | codestorywithMIK

We will solve it using the same concept as Leetcode-974. We will do a recap and build intuition and solve it easily.

Problem Name : Count of Interesting Subarrays | Using Studied Concept | Detailed | Dry Run | Leetcode 2845 | codestorywithMIK
Company Tags : will update later
Code Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Arrays/Cumulative_Sum(Prefix Array)/Count of Interesting Subarrays.cpp
Leetcode Link : https://leetcode.com/problems/count-of-interesting-subarrays/description/


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Video Summary :
The problem asks us to count subarrays where the number of elements satisfying nums[i] % modulo == k is congruent to k modulo modulo. We keep a running count (sum) of such elements and use the modulo of this sum to track patterns. By using a hash map to store the frequency of each modulo result, we efficiently count the number of valid subarrays ending at each index. The key trick is recognizing that if (sum[i] - sum[j]) % modulo == k, then we can rearrange this to find how many previous prefix sums satisfy that condition.

✨ Timelines✨
00:00 - Introduction
0:35 - Motivation
1:04 - Problem Explanation
5:13 - Thought Process behind counting
17:26 - Recap Leetcode - 974 and Maths Proof
28:28 - Dry Run
34:42 - Coding it up

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