GATE | GATE-CS-2006 | Question 15
Consider the following C-program fragment in which i, j and n are integer variables.
Let val(j) denote the value stored in the variable j after termination of the for loop. Which one of the following is true?
(A) val(j) = (logn)
(B) vaI(j) = (sqrt(n))
(C) val(j) = (n)
(D) val(j) = (nlogn)
Explanation: The variable j is initially 0 and value of j is sum of values of i. i is initialized as n and is reduced to half in each iteration.
j = n/2 + n/4 + n/8 + .. + 1 = Θ(n)
Note the semicolon after the for loop, so there is nothing in the body.