Problem:
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

Solution in Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program main
  implicit none
  
  integer x1,x2,x3,x4,y1,y2,y3,y4
  real :: ap,c,a,x31,x32,y31,y32,r31,r32,r2,b,r
  
  read(*,*)x1,y1,x2,y2
  ap = real(y1 - y2)/real(x1 - x2)
  r = sqrt(real(y1-y2)**2 + real(x1-x2)**2)
  a = -1/ap
  b = real(x2*(x1 - x2)) + real(y2*(y1 - y2))
  
  x31 = ((-a*b)+sqrt(a**2*b**2 - (a**2 + 1)*(b**2 - r**2)))/(a**2 + 1)
  x32 = ((-a*b)-sqrt(a**2*b**2 - (a**2 + 1)*(b**2 - r**2)))/(a**2 + 1)
  y31 = a*x31 + b
  y32 = a*x32 + b
  r31 = x31**2 + y31**2
  r32 = x32**2 + y32**2
  if (r31 < r32) then
    x3 = int(x31)
    y3 = int(y31)
  else
    x3 = int(x32)
    y3 = int(y32)
  end if
  
  x4 = x1 + (x3 - x2)
  y4 = y1 + (y3 - y2)
  write(*,*)x3, y3, x4, y4
end program main