# Task ID: 12
# Title: Room Management Frontend (UI for Create, Join, Match)
# Status: pending
# Dependencies: 3, 10, 11
# Priority: high
# Description: Develop the client-side UI for room management, allowing users to create private rooms, enter room codes to join, and initiate quick matchmaking.
# Details:
Create 'Create Room' modal/page with options for password, AI difficulty, round time. Implement 'Join Room' input field for room code. Implement a 'Quick Match' button. Display room lists/states. Use WebSocket to send room actions and receive updates. Show loading/waiting states during matching.

# Test Strategy:
Test creating a room and verify room code display. Test joining a room with the correct code. Test quick matchmaking flow. Verify error messages for invalid room codes or full rooms. Ensure UI updates correctly with WebSocket messages.