mediumArraysPattern: NEW OR EXISTING ID
Minimum Unique Material Identifiers Solution
Problem Statement
Given a 2D array `rooms` where each sub-array represents the available materials for a room, determine the minimum number of new or existing material IDs to assign to each room so that no two rooms with the same type of material have the same material ID.
Constraints
- 1 ≤ rooms.length ≤ 10^4
- 1 ≤ materialIds.length < 10^5
- Each room has at least one material
- Each material can be assigned to any number of rooms
- Material IDs start at 1 and increase by 1
Time: O(n*m) Space: O(n*m)
The optimal approach is to use a hash map to keep track of the next available ID for each material type across all rooms. This allows us to efficiently assign new IDs without having to check for existing IDs in each room.
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