Score : $100$ points

问题描述

在 $xy$ 平面上存在一个矩形。该矩形的每一条边都平行于 $x$ 轴或 $y$ 轴，且其面积不为零。

已知该矩形四个顶点中的三个坐标 $(x_1, y_1)$, $(x_2, y_2)$ 和 $(x_3, y_3)$，请找出另一个顶点的坐标。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

There is a rectangle in the $xy$-plane. Each edge of this rectangle is parallel to the $x$- or $y$-axis, and its area is not zero.

Given the coordinates of three of the four vertices of this rectangle, $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, find the coordinates of the other vertex.

Constraints

• $-100 \leq x_i, y_i \leq 100$
• There uniquely exists a rectangle with all of $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$ as vertices, edges parallel to the $x$- or $y$-axis, and a non-zero area.
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$x_1$ $y_1$

$x_2$ $y_2$

$x_3$ $y_3$

Output

Print the sought coordinates $(x, y)$ separated by a space in the following format:

$x$ $y$

Sample Input 1

-1 -1
-1 2
3 2

Sample Output 1

3 -1

The other vertex of the rectangle with vertices $(-1, -1), (-1, 2), (3, 2)$ is $(3, -1)$.

Sample Input 2

-60 -40
-60 -80
-20 -80

Sample Output 2

-20 -40

update @ 2024/3/10 10:32:51