101081: [AtCoder]ABC108 B - Ruined Square
Description
Score : $200$ points
Problem Statement
There is a square in the $xy$-plane. The coordinates of its four vertices are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ and $(x_4,y_4)$ in counter-clockwise order. (Assume that the positive $x$-axis points right, and the positive $y$-axis points up.)
Takahashi remembers $(x_1,y_1)$ and $(x_2,y_2)$, but he has forgot $(x_3,y_3)$ and $(x_4,y_4)$.
Given $x_1,x_2,y_1,y_2$, restore $x_3,y_3,x_4,y_4$. It can be shown that $x_3,y_3,x_4$ and $y_4$ uniquely exist and have integer values.
Constraints
- $|x_1|,|y_1|,|x_2|,|y_2| \leq 100$
- $(x_1,y_1)$ ≠ $(x_2,y_2)$
- All values in input are integers.
Input
Input is given from Standard Input in the following format:
$x_1$ $y_1$ $x_2$ $y_2$
Output
Print $x_3,y_3,x_4$ and $y_4$ as integers, in this order.
Sample Input 1
0 0 0 1
Sample Output 1
-1 1 -1 0
$(0,0),(0,1),(-1,1),(-1,0)$ is the four vertices of a square in counter-clockwise order. Note that $(x_3,y_3)=(1,1),(x_4,y_4)=(1,0)$ is not accepted, as the vertices are in clockwise order.
Sample Input 2
2 3 6 6
Sample Output 2
3 10 -1 7
Sample Input 3
31 -41 -59 26
Sample Output 3
-126 -64 -36 -131