Design a Number Container System | 2 Approaches | Leetcode 2349 | codestorywithMIK

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Hi Everyone, this is the 19th video of our Playlist "Design Data Structure : Popular Interview Problems".
Now we will be solving a good practice problem on Design Data Structure - Design a Number Container System | 2 Approaches | Leetcode 2349 | codestorywithMIK
We will solve it using 2 Approaches with detailed deep dive.


Problem Name : Design a Number Container System | 2 Approaches | Leetcode 2349 | codestorywithMIK
Company Tags : GOOGLE
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Design/Design a Number Container System.cpp
Leetcode Link : https://leetcode.com/problems/design-a-number-container-system


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Video Summary :
Approach 1: Using Map and Ordered Set
The key idea is to maintain a mapping of indices to numbers and a sorted structure (e.g., TreeSet) to track indices for each number.
When an index is updated, we remove it from the previous number’s set and add it to the new one.
Finding the smallest index is efficient using the ordered set’s first element.
Trade-off: Efficient lookups but requires maintaining an ordered set, which increases space complexity.

Approach 2: Using Map and Min-Heap (Priority Queue)
Instead of an ordered set, we use a min-heap to track indices for each number.
Updates simply push indices into the heap, but stale entries may remain, requiring cleanup during retrieval.
This approach is more dynamic but can have extra overhead due to heap maintenance.
Trade-off: Faster updates but potentially slower lookups due to lazy cleanup.

✨ Timelines ✨
00:00 - Introduction
00:22 - Motivation
01:23 - Problem Explanation
03:36 - Approach-1 (Using 2 Maps with set)
11:30 - Coding Approach-1
19:08 - Approach-2 (Using 2 Maps with min-heap)
25:55 - Coding Approach-1


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