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2978. Symmetric Coordinates
Description
Table: Coordinates
+-------------+------+ | Column Name | Type | +-------------+------+ | X | int | | Y | int | +-------------+------+ Each row includes X and Y, where both are integers. Table may contain duplicate values.
Two coordindates (X1, Y1) and (X2, Y2) are said to be symmetric coordintes if X1 == Y2 and X2 == Y1.
Write a solution that outputs, among all these symmetric coordintes, only those unique coordinates that satisfy the condition X1 <= Y1.
Return the result table ordered by X and Y (respectively) in ascending order.
The result format is in the following example.
Example 1:
Input: Coordinates table: +----+----+ | X | Y | +----+----+ | 20 | 20 | | 20 | 20 | | 20 | 21 | | 23 | 22 | | 22 | 23 | | 21 | 20 | +----+----+ Output: +----+----+ | x | y | +----+----+ | 20 | 20 | | 20 | 21 | | 22 | 23 | +----+----+ Explanation: - (20, 20) and (20, 20) are symmetric coordinates because, X1 == Y2 and X2 == Y1. This results in displaying (20, 20) as a distinctive coordinates. - (20, 21) and (21, 20) are symmetric coordinates because, X1 == Y2 and X2 == Y1. However, only (20, 21) will be displayed because X1 <= Y1. - (23, 22) and (22, 23) are symmetric coordinates because, X1 == Y2 and X2 == Y1. However, only (22, 23) will be displayed because X1 <= Y1. The output table is sorted by X and Y in ascending order.
Solutions
Solution 1: Window Function + Self Join
We can use the window function ROW_NUMBER() to add an auto-incrementing sequence number to each row. Then, we perform a self join on the two tables, with the join conditions being p1.x = p2.y AND p1.y = p2.x AND p1.x <= p1.y AND p1.id != p2.id. Finally, we sort and remove duplicates.
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# Write your MySQL query statement below WITH P AS ( SELECT ROW_NUMBER() OVER () AS id, x, y FROM Coordinates ) SELECT DISTINCT p1.x, p1.y FROM P AS p1 JOIN P AS p2 ON p1.x = p2.y AND p1.y = p2.x AND p1.x <= p1.y AND p1.id != p2.id ORDER BY 1, 2;