100 atcoder#ABC108B. [ABC108B] Ruined Square

[ABC108B] Ruined Square

Score : 200200 points

Problem Statement

There is a square in the xyxy-plane. The coordinates of its four vertices are (x1,y1),(x2,y2),(x3,y3)(x_1,y_1),(x_2,y_2),(x_3,y_3) and (x4,y4)(x_4,y_4) in counter-clockwise order. (Assume that the positive xx-axis points right, and the positive yy-axis points up.)

Takahashi remembers (x1,y1)(x_1,y_1) and (x2,y2)(x_2,y_2), but he has forgot (x3,y3)(x_3,y_3) and (x4,y4)(x_4,y_4).

Given x1,x2,y1,y2x_1,x_2,y_1,y_2, restore x3,y3,x4,y4x_3,y_3,x_4,y_4. It can be shown that x3,y3,x4x_3,y_3,x_4 and y4y_4 uniquely exist and have integer values.

Constraints

  • x1,y1,x2,y2100|x_1|,|y_1|,|x_2|,|y_2| \leq 100
  • (x1,y1)(x_1,y_1)(x2,y2)(x_2,y_2)
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

x1x_1 y1y_1 x2x_2 y2y_2

Output

Print x3,y3,x4x_3,y_3,x_4 and y4y_4 as integers, in this order.

0 0 0 1
-1 1 -1 0

(0,0),(0,1),(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 (x3,y3)=(1,1),(x4,y4)=(1,0)(x_3,y_3)=(1,1),(x_4,y_4)=(1,0) is not accepted, as the vertices are in clockwise order.

2 3 6 6
3 10 -1 7
31 -41 -59 26
-126 -64 -36 -131