In the following C program fragment, j, k n and TwoLog_n are interger variables, and A is an array of integers. The variable n is initialized to an integer ≥ 3, and TwoLog_n is initialized to the value of 2*⌈log2(n)⌉

The set of numbers printed by this program fragment is
(A) {m | m ≤ n, (∃ i) [m = i!]} Here i! mean factorial of i
(B) {m | m ≤ n, (∃ i) [m = i²]}
(C) {m | m ≤ n, m is prime}
(D) {}


Answer: (D)

Explanation: Option (D) is correct because if take n=4 then TwoLog_n value 4.
first loop initially A[3]=A[4]=0;
then two loop k = 2 to 4 and j = 3 to 4

if k=2 
         j=3  A[3] = A[3] || (3%2) 
                          = 0 || 1
                  A[3] = 1 
       j=4  A[4] = A[4] || (4%2)
                         = 0 || 0
                A[4] = 0
K=3
         j=4  A[4] = A[4] || (4%3)

                        = 0 || 1
               A[4] = 1
K=4
     J=5 condition false means terminate
 A[3] = A[4] = 1

Means last print loop never execute.


Quiz of this Question