You are given a table products with the following structure:

create table products

$($

name varchar $(20)$ primary key, price integer not null, quantity integer not null

$)$;

It represents the product types that can be bought in a shop. Each row of the table contains information about a product:

$$name $-$ unique key, name of the product type

$$price $-$ price per single item of this product in dollars

$$quantity $-$ number of items of this product available in the shop

What is the maximum number of items that can be bought by spending at most $$100?$ The items bought can be of different types and their number can't exceed their availability in the shop.

Write an SQL query that finds this number. The result table should comprise one column, quantity, that contains an integer describing the maximum number of items that can be bought with $$100$

Example:

$1.$ Given:

name $|$price $|$ quantity

Pencil $330$

Rubber $53$

Notebook $53$

Pen $620$

you query should return:

I quantity

$32$

We can buy all $30$ pencils and $2$ notebooks. This gives $32$ products in total that will cost exactly $$100.$

All the items can be bought with $$100.$

Assume that:

the products table has at most $100$ rows;

price column can only contain integers from $1$ to $200$ inclusive; quantity column can only contain integers from $1$ to $100$ inclusive;

Sum of values in quantity column is smaller than or equal to $100$