Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions are resolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33, 12, 17, 10. The maximum, minimum, and average chain lengths in the hash table, respectively, are

Consider the following C functions in which size is the number of elements in the array E:

int MyX(int *E, unsigned int size){
 int Y = 0;
 int Z;
 int i,j,k;
 for(i = 0; i < size; i++)
       Y = Y + E[i];
 for(i = 0; i < size; i++)
   for(j = i; j < size; j++){
     Z = 0;
     for(k = i; k <= j; k++)
        Z = Z + E[k];
     if(Z > Y)
        Y = X;
   }
   return Y;
}

The value returned by the function MyX is the

Let G be a graph with n vertices and m edges. What is the tightest upper bound on the running time of Depth First Search on G, when G is represented as an adjacency matrix?

Consider a rooted n node binary tree represented using pointers. The best upper bound on the time required to determine the number of subtrees having exactly 4 nodes O(n^a Log^bn ). Then the value of a + 10b is _________