Problem: Read a set of coordinates of three different points P1 (x1, y1), P2 (x2, y2), Q (xq, yq) on the plane, and line symmetry with point Q with the straight line passing through point P1 point P2 as the axis of symmetry. Create a program that outputs the point R (x, y) at the position of. Note that the point Q is not on its axis of symmetry.

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input

The input consists of multiple datasets. Each dataset is given in the following format:


x1, y1, x2, y2, xq, yq


x1, y1, x2, y2, xq, yq (real numbers between -100 and 100) are given on one line separated by commas.

The number of datasets does not exceed 50.

output

Print x, y on a single line, separated by blanks, for each dataset. The output may contain an error of 0.0001 or less in real numbers.

Example

Input

1.0,0.0,-1.0,0.0,1.0,1.0
1.0,0.0,0.0,-1.0,3.0,0.0
0.0,1.0,0.0,-1.0,1.0,1.0


Output

1.000000 -1.000000
1.000000 2.000000
-1.000000 1.000000

Solution (in CPP):

Solution:
#include <iostream>
#include <iomanip>
#include <cmath>

using namespace std;

void trans(double tx, double ty, double &x, double &y) 
{
    x += tx;
    y += ty;
}

void rotate(double theta, double &x, double &y) 
{
    double tx = x;
    double ty = y;

    x = cos(theta) * tx - sin(theta) * ty;
    y = sin(theta) * tx + cos(theta) * ty;
}

int main()
{
    double x1, y1, x2, y2, xq, yq;
    char ch;

    cout << setiosflags(ios::fixed) << setprecision(6);
    while (cin >> x1 >> ch >> y1 >> ch >> x2 >> ch >> y2
           >> ch >> xq >> ch >> yq) {
        double theta = atan((y2 - y1) / (x2 - x1));

        trans(-x1, -y1, xq, yq);
        rotate( -theta, xq, yq);
        yq *= -1;
        rotate( theta, xq, yq);
        trans(x1, y1, xq, yq);
        
        cout << xq << " " << yq << endl;
    }
}