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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
int main(void){
    int x1,y1,x2,y2;
    cin>>x1>>y1>>x2>>y2;
    int a=(x2-x1)*(x2-x1)+(y2-y1)*(y2-y1);
    int x3,y3,x4,y4;
    for (x4=-400;x4<=400;x4++) {
        for (y4=-400;y4<=400;y4++) {
            int ax=x2-x1;
            int ay=y2-y1;
            int dx=x4-x1;
            int dy=y4-y1;
            if (ax*dx+ay*dy==0&&(x4-x1)*(x4-x1)+(y4-y1)*(y4-y1)==a) {
                for (x3=-400;x3<=400;x3++) {
                    for (y3=-400;y3<=400;y3++) {
                        int cx=x3-x2;
                        int cy=y3-y2;
                        if (cx==dx&&cy==dy) {
                            if (x1<=x2&&y1<=y2&&x4<=x1) {
                                cout<<x3<<" "<<y3<<" "<<x4<<" "<<y4<<endl;
                            } else if (x1>=x2&&y1<=y2&&x4<=x1) {
                                cout<<x3<<" "<<y3<<" "<<x4<<" "<<y4<<endl;
                            } else if (x1>=x2&&y1>=y2&&x1<=x4) {
                                cout<<x3<<" "<<y3<<" "<<x4<<" "<<y4<<endl;
                            } else if (x1<=x2&&y1>=y2&&x1<=x4) {
                                cout<<x3<<" "<<y3<<" "<<x4<<" "<<y4<<endl;
                            }
                        }
                    }
                }
            }
        }
    }
}