Create a 2D top-down architectural floor plan for the first level of a modern two-story house. The layout should include: An open living room, dining room, and kitchen: Place a kitchen island in the center that serves as a dining table for 8 people. Designate open pathways for smooth flow. A half bathroom for guests near the main entrance. Add a back door leading to a laundry/utility room and a backyard or patio. Include stairs positioned strategically, visible from the main living area. The design should emphasize clear room divisions with labels for each space, detailed furniture placement, and clean, modern lines. Use light wood flooring and greenery accents similar to the provided reference image."