When structuring hill training throughout the week, what is the optimal distribution of high-intensity interval training (HIIT) versus low-cadence, high-torque efforts to maximize improvements in muscular power and endurance, and is it more effective to cluster hill repeats on specific days or intersperse them throughout the week to avoid interference with other types of training, such as tempo and endurance rides? Furthermore, how does the inclusion of strength training and plyometrics impact the overall effectiveness of hill training, and are there any benefits to incorporating hill sprints into a periodized training plan to improve neuromuscular power and acceleration?