/*
PROBLEM: Write a program (with one class and that too having only the "main" method) to compute the solution of system
of 3 linear eqautions, A.x = b on three variables using Cramer's rule. 
You may assume that coefficient matrix is non-singular.
*/

import javabook.*;

public class Cramer
{
        public static void main(String[] arg)
        {

                int a11,a12,a13,a21,a22,a23,a31,a32,a33;
                int b11,b21,b31;
                int D1,D2,D3,D;

                MainWindow m_Window=new MainWindow();
                InputBox input=new InputBox(m_Window,true);

                // Get the matrix A from user in row-major form
                
                a11 = input.getInteger("Give an integer value for a11");
                a12 = input.getInteger("Give an integer value for a12");
                a13 = input.getInteger("Give an integer value for a13");

                a21 = input.getInteger("Give an integer value for a21");
                a22 = input.getInteger("Give an integer value for a22");
                a23 = input.getInteger("Give an integer value for a23");

                a31 = input.getInteger("Give an integer value for a31");
                a32 = input.getInteger("Give an integer value for a32");
                a33 = input.getInteger("Give an integer value for a33");

                // Input Matrix B
                b11 = input.getInteger("Give an integer value for b11");
                b21 = input.getInteger("Give an integer value for b21");
                b31 = input.getInteger("Give an integer value for b31");

                // Calculate Determinants
                D1 = b11*(a22*a33-a23*a32)-a12*(b21*a33-a23*b31)+a13*(b21*a32-a22*b31);
                D2 = a11*(b21*a33-a23*b31)-b11*(a21*a33-a23*a31)+a13*(a21*b31-b21*a31);
                D3 = a11*(a22*b31-b21*a32)-a12*(a21*b31-b21*a31)+b11*(a21*a32-a22*a31);
                D = a11*(a22*a33-a23*a32)-a12*(a21*a33-a23*a31)+a13*(a21*a32-a22*a31);
                
                // Display the result
                OutputBox out=new OutputBox(m_Window);
                out.println("The solution is ......");
                out.println("x1 = " + (double)D1/D);
                out.println("x2 = " + (double)D2/D);
                out.println("x3 = " + (double)D3/D);

                out.waitUntilClose();
        }
}