Shopping Category Trip Difference

Given product-to-category mappings and a shopping list, compare category transitions under different shopping-trip orderings. The prompt asks for the difference in trip counts between the original order and a grouped-by-category order. Requirements Input includes product-category pairs such as milk -> dairy and carrot -> produce. Input includes a shopping list containing products. Count category runs/trips in the given shopping order. Compare against an ordering that groups products by category. Return the difference between the original trip count and the grouped trip count. Examples product categories: milk -> dairy carrot -> produce egg -> dairy cabbage -> produce shopping list: {milk, carrot, cabbage, egg} Trip 1: milk (dairy) -> carrot, cabbage (produce) -> egg (dairy) = 3 Trip 2: milk, egg (dairy) -> carrot, cabbage (produce) = 2 return Diff = 1 Notes Clarify whether the shopping list is ordered despite being written with braces in the prompt. The example relies on the given order. Clarify how to handle unknown products or products with multiple categories. Preparation Implement run counting over the original list. Implement the grouped baseline as the number of distinct categories present, then compare the two counts.