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Ans:
Insertion into the B-tree:
1. First search is made for the place where the new record must be positioned. As soon as the keys are inserted, they are sorted into the appropriate order.
2. If the node can contain the new record, insert the new record at the suitable pointer so that number of pointers happens to be one more than the number of records.
3. If the node overflows because of an upper bound on the size of the node, splitting is needed. The node is divided into three parts; the middle record is passed up and inserted into parent, leaving two children at the back. If n is odd (n-1 keys in full node and the new target key), the median key int(n/2)+1 is placed into the parent node, the lower n/2 keys are placed in the left leaf and the higher n/2 keys are placed in the right leaf. If n is even, we may have left biased or right biased means one key can be more in left child or right child respectively.
4. Splitting may propagate up the tree because the parent, into which the divided record is added, it may overflow then it may be split. If the root is required to be divided, a new record is created with only two children.
Merge sort is a sorting algorithm which uses the basic idea of divide and conquers. This algorithm initially divides the array into two halves, sorts them separately and then merge
Q. Write a procedure to the insert a node into the linked list at a particular position and draw the same by taking an example?
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null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(
give me algorithm of simple interest
Explain principle of Optimality It indicates that an optimal solution to any instance of an optimization problem is composed of optimal solutions to its subinstances.
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