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Q. What do you mean by the best case complexity of quick sort and outline why it is so. How would its worst case behaviour arise?
Ans: In the best case complexity, pivot is in the middle. To simplify the calculation, we assume that the two sub-files are both exactly half of the size of the original file, and although this gives a minor overestimate, this is except able because we are only interested in a Big-Oh answer. T(n) = 2T(n/2) + cn which yields T(n) = cn log n + n = O(n log n) In the worst case the pivot is the smallest element, all the time. Then i = 0 and if we ignore T(0) = 1, which is not important, the recurrence is T(n) = T(n - 1) + cn, n > 1 which yields
Ans:
In the best case complexity, pivot is in the middle. To simplify the calculation, we assume that the two sub-files are both exactly half of the size of the original file, and although this gives a minor overestimate, this is except able because we are only interested in a Big-Oh answer.
T(n) = 2T(n/2) + cn
which yields
T(n) = cn log n + n = O(n log n)
In the worst case the pivot is the smallest element, all the time. Then i = 0 and if we ignore T(0) = 1, which is not important, the recurrence is T(n) = T(n - 1) + cn, n > 1 which yields
How sparse matrix stored in the memory of a computer?
c++ To calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party
This question deals with AVL trees. You must use mutable pairs/lists to implement this data structure: (a) Define a procedure called make-avl-tree which makes an AVL tree with o
Q. Make a BST for the given sequence of numbers. 45,32,90,34,68,72,15,24,30,66,11,50,10 Traverse the BST formed in Pre- order, Inorder and Postorder.
SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)
Post-order Traversal This can be done both iteratively and recursively. The iterative solution would need a change of the in-order traversal algorithm.
A tree is a non-empty set one component of which is designated the root of the tree while the remaining components are partitioned into non-empty groups each of which is a subtree
Example: Assume the following of code: x = 4y + 3 z = z + 1 p = 1 As we have been seen, x, y, z and p are all scalar variables & the running time is constant irrespective
Write an algorithm for compound interest.
I need to know about data structure and algorithms. can you help me?
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