Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 32.3, Problem 2E
Program Plan Intro
To draw state transition diagram for the pattern ababbabbababbababbabb where ?={a,b}
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Construct a finite state automaton which recognizes strings over {a, b} which begin withbaab or ends with babb.
Construct a finite-automaton using the alphabet {a,b} for the pattern abbaba to be used in string matching. Show the exact sequence of steps when using the finite-automaton to find all occurrences of the pattern in the text babbababbaba.
Write a deterministic automaton to recognize the language over {a, b, c}* such that every string of a’s must be followed by at least two c’s and every string of c’s must be followed by at least three b’s. {accepted strings: accbbb , aaacccbbbcbbb }
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- Build a deterministic and complete PDA for the language over the alphabet Σ={a,b} that consistsof all words that end with a double letter.arrow_forwardThe language L of strings over alphabet Σ = {0, 1} which (in binary) represent even numbers is a regular language. Show this by giving both a. a regular expression and b. by drawing a finite state automaton (FSA) that recognizes strings from this language.arrow_forwardDraw a deterministic finite automaton (DFA) for the set of strings over the alphabet {a, b} whereeach string begins and ends with the same letter. For example, ababba and bbbab are strings thatshould be accepted by the DFA, but abbab and baaba should not be accepted.arrow_forward
- Give a DFA over {a,b} that accepts all strings of length exactly 5 For each state in your automaton, give a brief description of the strings associated with that state.arrow_forwardDraw the binary expression trees for the following:a) 4 * (5 – 9) + 9 * 8 -1 * (3 + 5 -2) b) x * (a / b * c – g * s / u) No hand written and fast answer with explanationarrow_forwardThe image is the non-deterministic PDA ,Give CFG for all strings of this languagearrow_forward
- Build a Finite Automaton to generate all strings starting with 1 followed by any combinations of 0's and 1's For example, 101, 11, 10000001 would be generated, but not 00, 0010, 01110, etc.( Please provide with diagram)arrow_forwardFor a machine learning model suppose you have a categorial variable named "flowers" with four possible values: "rose", "lotus", "jasmine" and "lavender". Represent them by using one-hot encoding.arrow_forwardImplement a lexicographically smallest topological ordering in the C languagearrow_forward
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