GATE | GATE-CS-2006 | Question 15

Consider the following C-program fragment in which i, j and n are integer variables.

for (i = n, j = 0; i >0; i /= 2, j += i);

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) (A) A (B) B (C) C (D) D
Answer:(C)
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. Same as question 1 of https://www.geeksforgeeks.org/c-language-set-6/amp/
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