What are the codes of the cheapest products in each category and the corresponding cheapest price?
CREATE TABLE Products (
    Code INTEGER,
    Name VARCHAR(255),
    Price DECIMAL,
    Manufacturer INTEGER
)

CREATE TABLE Manufacturers (
    Code INTEGER,
    Name VARCHAR(255),
    Headquarter VARCHAR(255),
    Founder VARCHAR(255),
    Revenue REAL
)
SELECT Code, MIN(Price) FROM Products GROUP BY Code
Below are sql tables schemas paired with instruction that describes a task. Using valid SQLite, write a response that appropriately completes the request for the provided tables. ### Instruction: What are the codes of the cheapest products in each category and the corresponding cheapest price? ### Input: CREATE TABLE Products (
    Code INTEGER,
    Name VARCHAR(255),
    Price DECIMAL,
    Manufacturer INTEGER
)

CREATE TABLE Manufacturers (
    Code INTEGER,
    Name VARCHAR(255),
    Headquarter VARCHAR(255),
    Founder VARCHAR(255),
    Revenue REAL
) ### Response: SELECT Code, MIN(Price) FROM Products GROUP BY Code