Product Price at a Given Date
<p>Table: <code>Products</code></p>

<pre>
+---------------+---------+
| Column Name   | Type    |
+---------------+---------+
| product_id    | int     |
| new_price     | int     |
| change_date   | date    |
+---------------+---------+
(product_id, change_date) is the primary key (combination of columns with unique values) of this table.
Each row of this table indicates that the price of some product was changed to a new price at some date.</pre>

<p>Initially, all products have price 10.</p>

<p>Write a solution to find the prices of all products on the date <code>2019-08-16</code>.</p>

<p>Return the result table in <strong>any order</strong>.</p>

<p>The result format is in the following example.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> 
Products table:
+------------+-----------+-------------+
| product_id | new_price | change_date |
+------------+-----------+-------------+
| 1          | 20        | 2019-08-14  |
| 2          | 50        | 2019-08-14  |
| 1          | 30        | 2019-08-15  |
| 1          | 35        | 2019-08-16  |
| 2          | 65        | 2019-08-17  |
| 3          | 20        | 2019-08-18  |
+------------+-----------+-------------+
<strong>Output:</strong> 
+------------+-------+
| product_id | price |
+------------+-------+
| 2          | 50    |
| 1          | 35    |
| 3          | 10    |
+------------+-------+
</pre>
Database
# Write your MySQL query statement below
WITH
    T AS (SELECT DISTINCT product_id FROM Products),
    P AS (
        SELECT product_id, new_price AS price
        FROM Products
        WHERE
            (product_id, change_date) IN (
                SELECT product_id, MAX(change_date) AS change_date
                FROM Products
                WHERE change_date <= '2019-08-16'
                GROUP BY 1
            )
    )
SELECT product_id, IFNULL(price, 10) AS price
FROM
    T
    LEFT JOIN P USING (product_id);
