C | Arrays | Question 5

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<n) && (j<m))
     if (a[i] < b[j]) c[k++] = a[i++];
     else c[k++] = b[j++];
}

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: (C)

Explanation: The function xyz() is similar to merge() of mergeSort().

The condition (i) is true if the last inserted element in c[] is from a[] and condition (ii) is true if the last inserted element is from b[].

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