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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
Construct a B+ tree for the following keys, starting with an empty tree. Each node in the tree can hold a maximum of 2 entries (i.e., order d = 1). Start with an empty root nod
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Method to measure address of any element of a matrix stored in memory. Let us consider 2 dimensional array a of size m*n further consider that the lower bound for the row index
Determine the importance of array Arrays are significant since they allow many values to be stored in a single data structure whereas providing very fast access to each value.
Data array A has data series from 1,000,000 to 1 with step size 1, which is in perfect decreasing order. Data array B has data series from 1 to 1,000,000, which is in random order.
I want to example for midsquare method
any simple algoritham questions with answers
How does cpu''s part tming and controls generate and controls signls in computer?
Since the stack is list of elements, the queue is also a list of elements. The stack & the queue differ just in the position where the elements may be added or deleted. Similar to
In a doubly linked list, also called as 2 way list, each node is divided into 3 parts. The first part is called previous pointer field. It contains the address of the preceding
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