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#include<stdio.h>
#include<time.h>
#include<math.h>
#include<stdlib.h>
#define max 9001

int ad_mat[max][max];
int main()
{
  int i, j, n,deg=0,edge=0,sum=0;
  double total_time;
  clock_t start,end;

    printf("Number of Vertices : ");
    scanf("%d",&n);

    srand(time(0));
    start=clock();
for(i=0;i<n;i++){
    for(j=0;j<n;j++){
        ad_mat[i][j]=rand()%2;
        if(ad_mat[i][j]==1&&i!=j){
            ad_mat[j][i]=1;
        }
        else if(ad_mat[i][j]==0&&i!=j){
            ad_mat[j][i]=0;
        }
        else if(i==j){
            ad_mat[i][j]=0;
        }
    }
}
 for(i=0; i<n; i++){
        for(j=0; j<n; j++){
            printf(" %d",ad_mat[i][j]);
        }
        printf("\n");
    }
     printf("\n Vertices \t Degree ");
    for ( i = 0 ; i < n ; i++ ){
        deg = 0;
        for ( j = 0 ; j < n ; j++ )
            if ( ad_mat[i][j] == 1)
                deg++;
        printf("\n\n %5d \t\t %d\n\n", i, deg);
    }

for(i=0;i<n;i++){
    deg=0;
    for(j=0;j<n;j++){
        if(ad_mat[i][j]==1){
            deg++;
        }
        if(ad_mat[i][j]==1&&i>=j){
            edge++;
        }
    }
    sum+=deg;
}
printf("\n\n The Number of Total Degrees is: %d\n",sum);

printf("\n\n The Number of Total Edges is: %d\n",edge);

printf("\n\n The Number of Edges is=(Summation of Degree/2)=(%d/2)=%d" ,sum,sum/2);

printf("\n\n Therefore Handshaking Theorem is Proved\n\n");

     end=clock();
     total_time=((double)(end-start)/CLOCKS_PER_SEC)*pow(10,9);

     printf("\n  Execution time : %1f ns \n",total_time);
     printf("\n");
     return 0;
}