Suppose you are given an implementation of a queue of integers. The operations that can be performed on the queue are:
i. isEmpty (Q) — returns true if the queue is empty, false otherwise.
ii. delete (Q) — deletes the element at the front of the queue and returns its value.
iii. insert (Q, i) — inserts the integer i at the rear of the queue.
Consider the following function:

void f (queue Q) { 
  int i ; 
  if (!isEmpty(Q)) { 
      i = delete(Q); 
      f(Q); 
      insert(Q, i); 
  } 
} 

What operation is performed by the above function f ?

The following postfix expression with single digit operands is evaluated using a stack: 8 2 3 ^ / 2 3 * + 5 1 * - Note that ^ is the exponentiation operator. The top two elements of the stack after the first * is evaluated are:

Consider the following C program:

#include 
#define EOF -1 
     void push (int); /* push the argument on the stack */ 
     int pop (void); /* pop the top of the stack */ 
     void flagError (); 
     int main () { 
       int c, m, n, r; 
       while ((c = getchar ()) != EOF) { 
         if (isdigit (c) ) 
           push (c); 
         else if ((c == '+') || (c == '*')) { 
           m = pop (); 
           n = pop (); 
           r = (c == '+') ? n + m : n*m; 
           push (r); 
         } else if (c != ' ') 
           flagError (); 
       } 
       printf("% c", pop ()); 
    } 

What is the output of the program for the following input ? 5 2 * 3 3 2 + * +

The following function computes the value of ^mC_n correctly for all legal values m and n (m≥1,n≥0 and m>n)

int func(int m, int n) 
{ 
     if (E) return 1; 
     else return(func(m -1, n) + func(m - 1, n - 1)); 
} 

In the above function, which of the following is the correct expression for E?