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building matrices

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building matrices

This is a discussion on "building matrices" within the Programming part of the Computer Security: Discussions section; Now what I want to show is a few algorithms on how to show my imagination on working with indices in matrices. This first algorithm looks like this : input : n=4 output : 2 3 5 7 37 41 43 11 ...

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28-12-07

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building matrices

Now what I want to show is a few algorithms on how to show my imagination on working with indices in matrices.
This first algorithm looks like this :
input : n=4
output :
2 3 5 7
37 41 43 11
31 53 47 13
29 23 19 17

It is a coil out of numbers .

Code:

#include<iostream.h>

#include<stdio.h>

#include<iomanip.h>
void header();


 int n,d,ok,b[100],i,k,j,x,a[20][20];

 void main()

 {  header();
      cout<<"n=";cin>>n;

   b[1]=2;

   k=2;

   x=3;

   while(k<=n*n) { ok=1;

                   for(d=2;d<=x/2;d++) if(x%d==0) ok=0;

                   if(ok) b[k++]=x;

                   x++;

                 }

   x=1;

   for(k=1;k<=n/2+1;k++) { for(j=k;j<=n-k+1;j++) a[k][j]=b[x++];

                                          for(i=k+1;i<=n-k+1;i++) a[i][n-k+1]=b[x++];

                                          for(j=n-k;j>=k;j--) a[n-k+1][j]=b[x++];

                                          for(i=n-k;i>k;i--) a[i][k]=b[x++];

                                        }

   for(i=1;i<=n;i++)

         { for(j=1;j<=n;j++) cout<<setw(2)<<a[i][j]<<" ";

           cout<<endl;

         }

 

 }
 void header()
 { printf("---------------------------------------------------------------\n");
   printf("Autor : fl0 fl0w \n");
   printf("flo[underscore]flow[underscore]supremacy[at]yahoo[dot]com\n"); 
   printf("---------------------------------------------------------------\n");
 }

NExt ..
n=4
m=3
a[1][1]=1
a[1][2]=2
a[1][3]=3
a[2][1]=4
a[2][2]=5
a[2][3]=6
a[3][1]=7
a[3][2]=8
a[3][3]=9
a[4][1]=10
a[4][2]=11
a[4][3]=12
Matricea este
1 2 3
4 5 6
7 8 9
10 11 12
Conturul matricei este
1 2 3 6 9 12 11 10 7 4

Yep you guest good it's the outline of the matrix.

Code:

#include<iostream.h>



      #include<stdio.h>
 
       int n,m,i,j,a[10][10];

      // function prototype

       void header();

       void main()
 
       { header();
 
       cout<<"n=";cin>>n;

         cout<<"m=";cin>>m;

         for(i=1;i<=n;i++)

               for(j=1;j<=m;j++)
 
              { cout<<"a["<<i<<"]["<<j<<"]=";

                cin>>a[i][j];

              }

              cout<<"Matricea este "<<endl;

             for(i=1;i<=n;i++)

                 { for(j=1;j<=m;j++) cout<<a[i][j]<<" ";

                      cout<<endl;

                 }

              cout<<"Conturul matricei este "<<endl;

              for(j=1;j<=m;j++) cout<<a[1][j]<<" ";
         for(i=2;i<=n;i++) cout<<a[i][m]<<" ";

              for(j=m-1;j>=1;j--) cout<<a[n][j]<<" ";

              for(i=n-1;i>=2;i--) cout<<a[i][1]<<" ";

              cout<<endl;

       

        }

       

         void header()

      { printf("---------------------------------------------------------------\n");

        printf("Autor : fl0 fl0w \n");

        printf("flo[underscore]flow[underscore]supremacy[at]yahoo[dot]com\n");

        printf("---------------------------------------------------------------\n");

        }

NeXt .. . this program solves any ecuation of degree 2 :
a=5
b=-2
c=-3
Ecuatia are radacini reale si distincte
x1=1
x2=-0.6

Code:

#include<iostream.h>
#include<stdio.h>
 
#
#include<math.h>
#
 void header();
 int a,b,c,d;
#
 float x,x1,x2;
#
 void main()
#
 {   header(); 
     cout<<"a=";cin>>a;
# 
   cout<<"b=";cin>>b;
#
   cout<<"c=";cin>>c;
#
   if(a==0) if(b==0) if(c==0) cout<<"Ecuatie nedeterminata"<<endl;
#
                                 else cout<<"Ecuatie imposibila "<<endl;
#
                  else { x=(float)-c/b;
#
                            cout<<"Ecuatie de gradul intai ,x="<<x<<endl;
#
                          }
#
   else { d=b*b-4*a*c;
#
                if(d<0) cout<<"Ecuatia are radacini complexe "<<endl;
#
                else if(d==0) { x=(float)-b/(2*a);
#
                                         cout<<"Ecuatia are radacini reale si egale,x1=x2="<<x<<endl;
#
                                    }
#
                        else { x1=(float)(-b+sqrt(d))/(2*a);
#
                                  x2=(float)(-b-sqrt(d))/(2*a);
#
                                  cout<<"Ecuatia are radacini reale si distincte"<<endl;
#
                                  cout<<"x1="<<x1<<endl;
#
                                  cout<<"x2="<<x2<<endl;
#
                                }
#
           }
#
 
#
  }
 void header()
 
 { printf("---------------------------------------------------------------\n");

        printf("Autor : fl0 fl0w \n");

        printf("flo[underscore]flow[underscore]supremacy[at]yahoo[dot]com\n");

        printf("---------------------------------------------------------------\n");

   }

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