SQLite:在每个组中仅返回前2个结果

我检查了类似问题的其他解决方案,但是sqlite不支持 row_number()和rank()函数,或者没有涉及连接多个表的示例,将它们按多列分组并且同时仅为每个组返回前N个结果.

这是我运行的代码

db = sqlite3.connect('mydb')

cursor = db.cursor()

cursor.execute(
    '''
    CREATE TABLE orders(
        id INTEGER PRIMARY KEY, product_id INTEGER,
        client_id INTEGER
        )
    '''
)

cursor.execute(
    '''
    CREATE TABLE clients(
        id INTEGER PRIMARY KEY, gender TEXT,
        city TEXT
        )
    '''
)

cursor.execute(
    '''
    CREATE TABLE products(
        id INTEGER PRIMARY KEY, category_name TEXT
        )
    '''
)

orders = [
    (9, 6), (3, 10), (8, 6), (4, 8),
    (5, 6), (7, 4), (9, 2), (10, 8),
    (4, 6), (3, 1), (10, 2), (9, 8),
    (9, 7), (4, 9), (7, 10), (2, 7),
    (4, 7), (6, 2), (6, 2), (9, 3),
    (10, 6), (4, 4), (2, 6), (3, 8),
    (9, 2), (1, 9), (3, 9), (9, 4),
    (5, 5), (7, 1), (8, 7), (7, 8),
    (6, 3), (9, 6), (8, 3), (7, 1),
    (10, 5), (7, 10), (8, 1), (7, 9),
    (4, 4), (3, 8), (5, 2), (5, 8),
    (6, 10), (9, 7), (2, 2), (4, 10),
    (5, 10), (3, 9)
]

clients = [
    ('Male', 'NY'),
    ('Female', 'NY'),
    ('Male', 'London'),
    ('Male', 'London'),
    ('Male', 'NY'),
    ('Female', 'NY'),
    ('Female', 'London'),
    ('Male', 'London'),
    ('Male', 'NY'),
    ('Female', 'London')
]

products = [
    ('Kitchen', ),
    ('Sport', ),
    ('Furniture', ),
    ('Furniture', ),
    ('Furniture', ),
    ('Sport', ),
    ('Sport', ),
    ('Kitchen', ),
    ('Kitchen', ),
    ('Kitchen', )
]

cursor.executemany("INSERT INTO orders(product_id, client_id) VALUES(?,?)", orders)
cursor.executemany("INSERT INTO clients(gender, city) VALUES(?,?)", clients)
cursor.executemany("INSERT INTO products(category_name) VALUES(?)", (products))

db.commit()

cursor.execute(
    '''
    SELECT
        category_name,
        city, gender,
        product_id, COUNT(product_id)
    FROM orders
    LEFT JOIN products ON product_id = products.id
    LEFT JOIN clients ON client_id = clients.id
    GROUP BY product_id, category_name, city, gender
    ORDER BY category_name, city, gender, COUNT(product_id) DESC
    '''
)

print('''category_name, city, gender, product_id, COUNT(product_id)''')

all_rows = cursor.fetchall()
for a, b, c, d, e in all_rows:
    print(a, b, c, d, e)

db.close()

现在的问题是如何在单个查询中获得这样的输出？我不需要与红线交叉的行,因为我只需要前2.