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1. The following is a recursive algorithm to calculate the k-th power of 2.
Input k a natural numberOutput kth power of 2Algorithem:If k =0then return 1Else return 2* power _of_2(k-1)
Please review the decomposition of a recursive algorithm described in slide #17 (week 1, 3-Recursion-IterativeAlgorithms.pdf). Please show the decomposition whne k = 5.
2. Please write an iterative algorithm to calculate the k-th power of 2. This iterative algorithm should be equivalent to the recursive algorithm in question 1.
3. Reorder the following time efficiencies from largest to smallest:
a) nlog n
b) 52
c) n + n2 + n3 + n4
d) n3
e) n5 log n
4. Determine the big-O notations for the following time efficiencies and reorder them from largest to smallest:
a) 50n3 + n2 + log n + n +10000
b) 2n5 +100n2 +1000log n
c) 200n + n2 log n
d) 10log n + n2 log n +10n4
5. Describe the information flow among DNAs, RNAs, and proteins
In what ways we can get the context sensitive F1 help on a field?' Data element documentation. Data element additional text in screen painter. Using the process on help r
Q. Construct a complete binary tree with depth 3 for this tree which is maintained in the memory using the linked representation. Make the adjacency list and adjacency matrix for t
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Q. In the given figure find the shortest path from A to Z using Dijkstra's Algorithm. Ans: 1. P=φ; T={A,B,C,D,E,F,G,H,I,J,K,L,M,Z} Let L(A)
Write an algorithm to test whether a Binary Tree is a Binary Search Tree. The algorithm to test whether a Binary tree is as Binary Search tree is as follows: bstree(*tree) {
Ask question #Minima binary search tree is used to locate the number 43 which of the following probe sequences are possible and which are not? explainum 100 words accepted#
How divide and conquer technique can be applied to binary trees? As the binary tree definition itself separates a binary tree into two smaller structures of the similar type,
Limitation of Binary Search: - (i) The complexity of Binary search is O (log2 n). The complexity is similar irrespective of the position of the element, even if it is not pres
Write an algorithm for binary search. Algorithm for Binary Search 1. if (low> high) 2. return (-1) 3. Mid = (low + high)/2 4. if ( X = = a[mid]) 5. return (mid); 6.
pseudo code for fibonnaci series
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