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Q. Write down the algorithm for binary search. Which are the conditions under which sequential search of a list is preferred over the binary search?
Ans.
Algorithm for the Binary Search is as follows
1. if (low> high)
2. return (-1)
3. Mid = (low + high)/2
4. if ( X = = a[mid])
5. return (mid);
6. if (X < a[mid])
7. search for X in a[low] to a[mid-1]
8. else
9. search for X in a[mid+1] to a[high]
Sequential Search is preferred over the binary search when the list is disorder and haphazardly constructed. When searching is to be done on unsorted list then linear search is the only option.
A binary search tree is used to locate the number 43. Which of the following probe sequences are possible and which are not? Explain. (a) 61 52 14 17 40 43 (b) 2 3 50 40 60 43 (c)
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