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#include <stdio.h>
#include <stdlib.h>
#include<time.h>
#include<math.h>
int mat[9001][9001];

int main() {
int i, j, m, n;
int isReflexive=1,isSymmetric=1,isTransitive=1,isequivalence=1;
    printf("Enter the column dimension of the matrix: ");
    scanf("%d", &n);


    double total_time;
    clock_t start,end;
    start=clock();

    for(i = 0; i < n;i++) {
        for(j = 0; j < n;j++) {

            mat[i][j]=rand()%2;
        }
    }
    printf("The randomly generated matrix is : \n");
    for(i = 0; i < n;i++) {
        for(j = 0; j < n;j++) {

               printf("%d  ",mat[i][j]);
        }
        printf("\n");
    }


    //Reflexive
    for(i = 0; i < n;i++){ //o(n)
      if(mat[i][i]==0){
        isReflexive=0;
      }
    }
    if(isReflexive){
     printf("Reflexive\n");
    }
    if(!isReflexive){
     printf("Not Reflexive\n");
   }

   //Symmetric
   for(i = 0; i < n;i++) {  //o(n^2)
     for(j = 0; j < n;j++){
        if(mat[i][j]!=mat[j][i])
          isSymmetric=0;
    }
   }
   if(isSymmetric){
     printf("Symmetric\n");
    }
   if(!isSymmetric){
     printf("Not Symmetric\n");
   }

    //Transitive
   for(i = 0; i < n;i++) {   // o(n^3)
        for(j = 0; j < n;j++){
          for( int k=0;k<n;k++){
               if(mat[i][j] && mat[j][k] && !mat[k][i])
               isTransitive=0;
          }
        }
     }
   if(isTransitive){
      printf("Transitive\n");
    }
  if(!isTransitive){
     printf("Not Transitive\n");
   }

  if(!isReflexive || !isTransitive || !isSymmetric)
    isequivalence=0;
  if(isequivalence){
    printf("Equivalent");}
  if(!isequivalence){
    printf("Not Equivalent");}

// Anti Symmetric
int x,y;
 for (i = 0; i < m; i++) {
    for( j = 0; j < n; j++) {
        if (mat[i][j] != mat[j][i])
            x = 1;
        else if (mat[i][j] == -mat[j][i])
            y = 1;
      }
   }
   if (y == 1){
      printf("\n\nThe matrix is Anti Symmetric.\n ");}
      else{
        printf("\n\nNot anti symmetric\n");}


printf("\n");
end=clock();

total_time=((double)(end-start)/CLOCKS_PER_SEC)*pow(10,3);

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