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In this exercise we will extend the Knuth-Morris-Pratt algorithm
from class. Assume the set 2 of characters consists only of the 26
characters of the alphabet and assume that the text T is a sequence
of n characters of 2. Let m be the length of the pattern P. Change
the Knuth-Morris-Pratt algorithm so that it returns the position of
all matches of P in T. If, for example, T aaaa" and P aa" then 3
matches should be returned...
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b) Design a presorting-based algorithm to find the smallest possible mean of k elements in an array of n elements. Algorithm SmallestKMean (AI1. .n], k) c)Consider the problem of searching for genes in DNA sequences using Boyer-Moore string matching algorithm. A DNA sequence is represented by a text on the alphabet (A, C, G, T), and the gene or gene segment is the pattern. Construct the bad-symbol shift table and good-suffix shift table for the following gene segment: TAATAA Apply...
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Task Algorithms: Pattern Matching (in java)
Write a program that gets two strings from user, size and
pattern, and checks if pattern exists inside size, if it exists
then program returns index of first character of pattern inside
size, otherwise it returns -1.
The method should not use built-in methods such as
indexOf , find, etc. Only
charAt and
length are allowed to use.
Analyze the time complexity of your algorithm.
Your solution is not allowed to be> = O...
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Working modulo q=11, how many spurious hits does the Rabin Karp
matcher encounter in the text T=3141592653589793 when looking for
the pattern P=53.[show and explain all steps clearly]
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Overview:
Pattern-Matching (aka String Search) is the process of
algorithmically finding copies of a pattern P inside a (generally
much larger) text T. The goal is to implement and compare four
classical string-matching algorithms.
Input:
Your code should work for any text either inputted
directly or read in from a file.
However, for testing - input file has been
provided:
The Gettysburg Address (by President Abraham Lincoln,
1863)
You should minimally search for these three patterns in
each text: FREE,...
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Overview:
Pattern-Matching (aka String Search) is the process of
algorithmically finding copies of a pattern P inside a (generally
much larger) text T. The goal is to implement and compare four
classical string-matching algorithms.
Input:
Your code should work for any text either inputted
directly or read in from a file.
However, for testing - input file has been
provided:
The Gettysburg Address (by President Abraham Lincoln,
1863)
You should minimally search for these three patterns in
each text: FREE,...
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Analysis of Algorithms Fall 2013 Do any (4) out of the following (5) problems 1. Assume n-3t is a power of 3 fork20. Solve accurately the following recursion. If you cannot find the exact solution, use the big-O notation. Tu) T(n)Tin/3)+2 2. Suppose that you have 2 differeut algorithms to solve a giveu probleen Algorithm A has worst-case time complexity e(n2) and Algorithm B has worst-case time complexity e(nlog n). Which of the following statements are true and which are...
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4. [16 marks total (6 marks each)] Do a worst-case analysis for the following algorithm segments, counting the number of multiplications which occur. I have marked the lines with the multiplications you are to count with ). For all of these algorithms, use n as your fixed input size (even though n doesn't really represent the "size" of the input). Be sure to include an explanation with your answers to obtain full marks. (a) t-10; for (i-1;in-H) t-5*t; (b) (For...
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please directly show me the answers
8) (20 pts) Running times. Each question has 2pts. A. Can be solved in linear time in the worst case. B. Can be solved in polynomial time in the worst case. C. Can be solved in exponential time in the worst case. D. Cannot be solved/computed with any algorithm Match each task below with the best-matching description above. For the purposes of this question, assume PNP. Find the shortest paths from source to other...
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Stacks and Java
1. Using Java design and implement a stack on an array.
Implement the following operations: push, pop, top, size, isEmpty.
Make sure that your program checks whether the stack is full in the
push operation, and whether the stack is empty in the pop
operation. None of the built-in classes/methods/functions of Java
can be used and must be user implemented.
Practical application
1: Arithmetic operations. (a) Design an algorithm that takes a
string, which represents an arithmetic...
b) Design a presorting-based algorithm to find the smallest possible mean of k elements in an array of n elements. Algorithm SmallestKMean (AI1. .n], k) c)Consider the problem of searching for genes in DNA sequences using Boyer-Moore string matching algorithm. A DNA sequence is represented by a text on the alphabet (A, C, G, T), and the gene or gene segment is the pattern. Construct the bad-symbol shift table and good-suffix shift table for the following gene segment: TAATAA Apply...
Analysis of Algorithms Fall 2013 Do any (4) out of the following (5) problems 1. Assume n-3t is a power of 3 fork20. Solve accurately the following recursion. If you cannot find the exact solution, use the big-O notation. Tu) T(n)Tin/3)+2 2. Suppose that you have 2 differeut algorithms to solve a giveu probleen Algorithm A has worst-case time complexity e(n2) and Algorithm B has worst-case time complexity e(nlog n). Which of the following statements are true and which are...
4. [16 marks total (6 marks each)] Do a worst-case analysis for the following algorithm segments, counting the number of multiplications which occur. I have marked the lines with the multiplications you are to count with ). For all of these algorithms, use n as your fixed input size (even though n doesn't really represent the "size" of the input). Be sure to include an explanation with your answers to obtain full marks. (a) t-10; for (i-1;in-H) t-5*t; (b) (For...
please directly show me the answers
8) (20 pts) Running times. Each question has 2pts. A. Can be solved in linear time in the worst case. B. Can be solved in polynomial time in the worst case. C. Can be solved in exponential time in the worst case. D. Cannot be solved/computed with any algorithm Match each task below with the best-matching description above. For the purposes of this question, assume PNP. Find the shortest paths from source to other...