Score : $200$ points

问题陈述

在 $xy$ 平面上，有三个点 $A(x_A, y_A)$，$B(x_B, y_B)$，和 $C(x_C, y_C)$ 它们不共线。确定三角形 $ABC$ 是否为直角三角形。

以上为大语言模型 kimi 翻译，仅供参考。

Problem Statement

In the $xy$-plane, there are three points $A(x_A, y_A)$, $B(x_B, y_B)$, and $C(x_C, y_C)$ that are not collinear. Determine whether the triangle $ABC$ is a right triangle.

Constraints

• $-1000 \leq x_A, y_A, x_B, y_B, x_C, y_C \leq 1000$
• The three points $A$, $B$, and $C$ are not collinear.
• All input values are integers.

Input

The input is given from Standard Input in the following format:

$x_A$ $y_A$

$x_B$ $y_B$

$x_C$ $y_C$

Output

Print Yes if the triangle $ABC$ is a right triangle, and No otherwise.

Sample Input 1

0 0
4 0
0 3

Sample Output 1

Yes

The triangle $ABC$ is a right triangle.

Sample Input 2

-4 3
2 1
3 4

Sample Output 2

Yes

The triangle $ABC$ is a right triangle.

Sample Input 3

2 4
-3 2
1 -2

Sample Output 3

No

The triangle $ABC$ is not a right triangle.