The Three Houses: The Gardener, the Milk Drinker, and the Swede

Three houses stand in a row, numbered 1 to 3 from left to right. Each holds exactly one of each attribute, and no attribute repeats. Work out the full arrangement from these clues: 1. The beer drinker is the Swede. 2. The water drinker is the Pole. 3. The chess player is directly next to the painter. 4. The gardener is immediately to the right of the painter. 5. The gardener is the beer drinker. 6. The chess player is the milk drinker.