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The best algorithm to solve a given problem is one that requires less space in
memory and takes less time to complete its execution. But in practice it is not always possible to achieve both of these objectives. There may be more than one approach to solve a problem. One approach may require more space but less time to complete its execution. The 2nd approach may require less space but takes more time to complete execution. We choose 1st approach if time is a constraint and 2nd approach if space is a constraint. Thus we may have to sacrifice one at cost of the other. That is what we can say that there exists a time space trade among algorithm.
AVL tree An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most 1 and in which the left and right subtrees are again
Q. A Binary tree comprises 9 nodes. The preorder and inorder traversals of the tree yield the given sequence of nodes: Inorder : E A C K F H D
Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
Explain the theory of computational complexity A problem's intractability remains the similar for all principal models of computations and all reasonable inpu
One of the best known methods for external sorting on tapes is the polyphase sort. Principle: The basic strategy of this sort is to distribute ordered initial runs of predetermi
Define the Internal Path Length The Internal Path Length I of an extended binary tree is explained as the sum of the lengths of the paths taken over all internal nodes- from th
Explain about greedy technique The greedy method suggests constructing a solution to an optimization problem by a sequence of steps, every expanding a partially c
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)
In this sorting algorithm, multiple swapping occurs in one pass. Smaller elements move or 'bubble' up to the top of the list, so the name given to the algorithm. In this method,
A full binary tree with n leaves have:- 2n -1 nodes.
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