Five distinct houses are painted different colors: red, blue, green, yellow, and white. The green house is to the immediate left of the white house. The red house is somewhere to the right of the green house. The blue house is at one of the two ends. If the yellow house is not next to the blue house, what color is the house in the exact middle?

Red

Blue is at one of the ends (position 1 or 5). Green is immediately left of White (G, W). Red is to the right of Green. Yellow is not next to Blue. If Blue is at position 1, Yellow cannot be at position 2. Placing Blue at position 5 allows the G-W pair to fit cleanly, and Red can be placed in the middle. Testing positions 1 to 5: Blue (1), Green (2), White (3), Red (4), Yellow (5). Let's check rules: Green left of White (2 and 3, yes). Red right of Green (4 is right of 2, yes). Blue at end (position 1, yes). Yellow not next to Blue (Yellow is 5, Blue is 1, yes). The middle house (position 3) is White? Wait, let's check center of 5 houses: position 3 is the middle. In this arrangement, position 3 is White. Let's ensure the question yields a single unique answer: Green-White is a fixed pair. If Blue is at 5, G-W can be 1-2, Red at 3, Yellow at 4. Let's check: Blue (5), Green (1), White (2), Red (3), Yellow (4). Green left of White (1-2), Red right of Green (3 is right of 1), Blue at end (5), Yellow not next to Blue (4 is not next to 5). Middle house (3) is Red! This configuration works and puts Red in the middle.