A ray starting at location (0,0, -1) with a direction of (1/3, 2/3, 2/3) intersects an object at t = 3. The object's color is the brightest purple possible, the specular coefficient is 0, the diffuse coefficient is 1. There is a single point light source, that is not blocked by anything in the scene, located at (4, 6, 1), and there is ambient light in the scene of (0.2, 0.2, 0.2). The viewer is located at (1, 3, 4). If the normal at the point of intersection is (1/2, 1/2, 1/sqrt(2)), what is the color due to local illumination for that ray?