5826. WebSocket Real-time Broadcast Room Coordinator (Part 54)
Authentication & JWTRate Limiting
### Problem #5826: WebSocket Real-time Broadcast Room Coordinator (Part 54)
**Domain:** `Backend & APIs` | **Topic Focus:** `Authentication & JWT, Rate Limiting`
Implement an optimized, production-grade solution for **WebSocket Real-time Broadcast Room Coordinator (Part 54)**.
### Requirements:
1. Your code must handle boundary inputs, edge cases, and maintain optimal time & space complexity.
2. In production, this logic scales to high-throughput environments.
3. Return the exact computed result.
Example 1:
Input: Sample Input #5826
Output: Output 1
Explanation: Demonstrates correct execution for Authentication & JWT in Backend & APIs.
Constraints:
- Time Complexity: Optimal for standard production loads.
- Space Complexity: O(1) auxiliary or O(N) linear storage.
- Ensure memory safety, clean error propagation, and zero race conditions.
Integrity: 100%
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Input Arguments:
Test Case 1 for #5826
Expected Output:
Output 1