import java.io.*;
public class crammers_rule 
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        System.out.println("No of variables to be dealt with ::");
        int n=Integer.parseInt(br.readLine());
        int v[][]=new int[n][n];
        int R[]=new int[n];
        int i,j;
        for(i=0;i<n;i++)
        {
            System.out.println("Equation ::"+(i+1)+"\n");
            for(j=0;j<n;j++)
            {
                System.out.println("Enter the coefficient of variable ::"+(j+1));
                v[i][j]=Integer.parseInt(br.readLine());
            }
            System.out.println("\nEnter the value of the right hand side of equation ::"+(i+1));
            R[i]=Integer.parseInt(br.readLine());
        }
        crammer(v,R,n);
    }
    
    public static void crammer(int v[][],int R[],int n)
 {
     int i=0;
     double res=0;
     for(i=0;i<n;i++)
     {
         res=calculate(v,R,n,i);
         System.out.println("The value of the term "+(i+1)+" :: "+res);
     }
 }
     public static double calculate(int D[][],int R[],int n,int c)
 {
     int i=0,j=0,k=0;
     double res=0.0,d=0.0;
     int t[][]=new int[n][n];
     for(i=0;i<n;i++)
         for(j=0;j<n;j++){
             if(j==c)
             {
                 t[i][j]=R[k++];
             }
             else
                 t[i][j]=D[i][j];
         }
     d=(double)det(D,n);
     res=(double)det(t,n);
     return res/d;
 }
     
 public static int det(int v[][],int n)
 {
    int i=0,t=0,sign=1,sum=0;
    if(n==2){
        t=(v[0][0]*v[1][1])-(v[0][1]*v[1][0]);
        return t;
    }
    else
    {
        for(i=0;i<n;i++)
        {
            sum+=v[0][i]*sign*matrix(v,i,n);
            sign=sign*(-1);
        }
    }
    return sum;
 }
 public static int matrix(int v[][],int c,int n)
 {
     int i=0,j=0,a=0,b=0;
     int t[][]=new int[n-1][n-1];
     for(i=1;i<n;i++)
     {
         b=0;j=0;
         while(j<n)
         {
          if(j==c)
          j++;
          if(j<n)
          t[a][b]=v[i][j];
          j++;
          b++;          
         }
         a++;
     }
     return det(t,n-1);
 }

}