Create a ShoppingCart with Product Items

Summary

Learn composition by building Product and ShoppingCart classes to manage items and compute totals.

Problem statement

You will model a simple shopping cart using composition. Implement two classes: - Product: represents a product with a name and a price (stored in cents as an integer). - ShoppingCart: holds Product instances and quantities. The cart should allow adding products with quantities, removing a quantity of a product (not letting counts go negative), querying how many units of a product are in the cart, and computing the total price in cents. Design choices: - Use composition: ShoppingCart stores Product objects (not subclassing Product). - Price handling: work in integer cents to avoid floating-point rounding issues. Provide total_cents() returning an integer total. Required methods (names must match exactly): - Product(name: str, price_cents: int) - ShoppingCart() - add_item(product: Product, quantity: int = 1) -> None - remove_item(product_name: str, quantity: int = 1) -> bool - removes up to quantity of the named product; returns True if any were removed, False if product not present - item_count(product_name: str) -> int - total_cents() -> int Follow standard behaviors: adding increases count, removing reduces but not below zero, querying unknown product returns 0.

Task

Implement Product and ShoppingCart classes where ShoppingCart stores Product instances (composition). Provide methods to add/remove items, query item counts, and compute total price in cents.

Examples

Input format

Each test uses an expression that constructs Product and ShoppingCart objects and then calls one of the required methods. Your classes must be available in the global scope.

Output format

Return values are compared by their string representation. total_cents() and item_count() should return integers.

Constraints

- Prices are non-negative integers (cents). - Quantities passed to add_item/remove_item are non-negative integers. - remove_item should not reduce a product's count below zero.

Samples