//
//
//

#include<stdio.h>
#include<math.h>



int main(void)

{
    int t, s, doors[100], dr_num, open, total=0;

    for(t = 0; t < 100; t++)                    //setting array initial values to 0
    {
        doors[t] = 0;
    }


    for(s = 0; s < 100; s++)                    //for loop to jump through all 100 students
    {
        for(t = 0; t < 100; t++)                //for loop that steps through all 100 time steps
        {
            dr_num = (t * s) - 1;
            if(dr_num >= 100)
            {
                break;
            }
            else if(doors[dr_num] == 0)
            {
                doors[dr_num] = 1;
            }
            else
            {
                doors[dr_num] = 0;
            }
        }
    }

    printf("This is the status of the doors:\n");

    for(t = 0; t < 100; t++)
    {
        open = t+1;
        printf("Door:%d : %d \n",open, doors[t]);
        total = total + doors[t];
    }

    printf("\nThe total amount of doors open is: %d\n", total);

return(0);

}