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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.
The smallest element of an array's index is called its Lower bound.
In this unit, the following four advanced data structures have been practically emphasized. These may be considered as alternative to a height balanced tree, i.e., AVL tree.
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Q. Write down the binary search algorithm and trace to search element 91 in following given list: 13 30 62 73 81 88 91
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