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<p>Table: <code>Prices</code></p>
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<pre>
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+---------------+---------+
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| Column Name | Type |
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+---------------+---------+
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| product_id | int |
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| start_date | date |
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| end_date | date |
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| price | int |
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+---------------+---------+
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(product_id, start_date, end_date) is the primary key (combination of columns with unique values) for this table.
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Each row of this table indicates the price of the product_id in the period from start_date to end_date.
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For each product_id there will be no two overlapping periods. That means there will be no two intersecting periods for the same product_id.
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</pre>
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<p> </p>
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<p>Table: <code>UnitsSold</code></p>
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<pre>
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+---------------+---------+
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| Column Name | Type |
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+---------------+---------+
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| product_id | int |
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| purchase_date | date |
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| units | int |
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+---------------+---------+
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This table may contain duplicate rows.
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Each row of this table indicates the date, units, and product_id of each product sold.
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</pre>
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<p> </p>
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<p>Write a solution to find the average selling price for each product. <code>average_price</code> should be <strong>rounded to 2 decimal places</strong>.</p>
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<p>Return the result table in <strong>any order</strong>.</p>
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<p>The result format is in the following example.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong>
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Prices table:
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+------------+------------+------------+--------+
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| product_id | start_date | end_date | price |
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+------------+------------+------------+--------+
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| 1 | 2019-02-17 | 2019-02-28 | 5 |
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| 1 | 2019-03-01 | 2019-03-22 | 20 |
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| 2 | 2019-02-01 | 2019-02-20 | 15 |
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| 2 | 2019-02-21 | 2019-03-31 | 30 |
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+------------+------------+------------+--------+
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UnitsSold table:
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+------------+---------------+-------+
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| product_id | purchase_date | units |
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+------------+---------------+-------+
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| 1 | 2019-02-25 | 100 |
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| 1 | 2019-03-01 | 15 |
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| 2 | 2019-02-10 | 200 |
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| 2 | 2019-03-22 | 30 |
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+------------+---------------+-------+
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<strong>Output:</strong>
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+------------+---------------+
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| product_id | average_price |
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+------------+---------------+
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| 1 | 6.96 |
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| 2 | 16.96 |
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+------------+---------------+
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<strong>Explanation:</strong>
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Average selling price = Total Price of Product / Number of products sold.
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Average selling price for product 1 = ((100 * 5) + (15 * 20)) / 115 = 6.96
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Average selling price for product 2 = ((200 * 15) + (30 * 30)) / 230 = 16.96
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</pre>
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