# Task ID: 11
# Title: Room Management Backend (Create, Join, Match)
# Status: pending
# Dependencies: 2, 4, 9
# Priority: high
# Description: Develop the backend logic for managing game rooms: creating private rooms (with password, config), joining rooms via code, and implementing a basic random matchmaking queue.
# Details:
Implement `Room` model in MongoDB and cache active room states in Redis. Create API endpoints for `createRoom`, `joinRoom`, `leaveRoom`. For matchmaking, use a Redis List or Set as a queue; when two players are in the queue, create a room for them. Implement room code generation (6-digit numeric). Handle host permissions and room configuration (e.g., round time limit, AI difficulty).

# Test Strategy:
Unit test room creation with various configs (password, no password). Test joining valid/invalid rooms. Simulate multiple users joining a matchmaking queue and verify room creation. Test room status updates in Redis.