Related Articles
C | Arrays | Question 5
• Difficulty Level : Easy
• Last Updated : 02 Nov, 2020

Consider the following C-function in which a[n] and b[m] are two sorted integer arrays and c[n + m] be another integer array.

 `void` `xyz(``int` `a[], ``int` `b [], ``int` `c[])``{``  ``int` `i, j, k;``  ``i = j = k = O;``  ``while` `((i

Which of the following condition(s) hold(s) after the termination of the while loop? (GATE CS 2006)
(i) j < m, k = n+j-1, and a[n-1] < b[j] if i = n (ii) i < n, k = m+i-1, and b[m-1] <= a[i] if j = m (A) only (i)
(B) only (ii)
(C) either (i) or (ii) but not both
(D) neither (i) nor (ii)

Answer: (D)

Explanation: The function xyz() is similar to merge() of mergeSort().Both the conditions (i) and (ii) are false in the sections k = n+j-1 and k = m+i-1 respectively.

The while loop adds elements from a and b (whichever is smaller) to c and terminates when either of them exhausts. So, when the loop terminates either i=n or j=m.

Suppose i=n. This would mean all elements from array a are added to c=>k must be incremented by n. c would also contain j elements from array b. So, the number of elements in c would be n+j and hence k=n+j.

Similarly, when j=m, k=m+i.

Hence, the option (D) is correct. (Had k started from −1 and not 0 and we used ++k inside the loop, the answer would have been option (C))

Quiz of this Question

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up