Design an efficient algorithm that takes a sequence x[1 … n] and returns the longest palindromic subsequence.

Q: Let L be any regular language over {a, b, c}. Show how the Pumping Lemma can be used to demonstrate…

A: The Answer is in step2

Q: find Longest Common Subsequence Implementation in Java Example LCS for input Sequences “ABCDGH” and…

A: Problem Statement for LCS: Find the length of the longest subsequence that appears in both of the…

Q: Illustrate that via AVL single rotation, any binary search tree T1 can be transformed into another…

A: The AVL tree, a self-balancing binary search tree, plays a crucial role in maintaining efficient…

Q: Problem 15. How many length-x strings = {0, 1,2} are not palindromes? •r= 3: •r= 4: •r= 5: •z= 6:…

A: Please give positive ratings for my efforts. Thanks.   ANSWER

Q: Implement SHANKS' ALGORITHM for finding discrete logarithms in Zp, where p is prime and à is a…

A:

Q: Let s = σ1. . . σk be a binary string of length k > 0. We say that a binary string w = w1 . . . wn…

A: According to the information given:- We have to proof the mentioned subsequence regular language…

Q: 4 5 7 8 9 A B C D E F G H I J Show the comparisons the Rabin-Karp String matching algorithm makes…

A: In the above string  S, we also written like value: A=0,B=1.................. in below we use RK…

Q: Consider some input string s and some index i. The longest substring s[i], ... , s[j − 1] that is a…

A: algorithm for given data is:

Q: Let T be a binary search tree, and let z be a key. Give an efficient algorithm for finding the…

A: The Answer is in Below Steps :-

Q: The representation of sequences in BioPerl does not include any method to generate all DNA sequences…

A: script is given in next step:-

Q: Given a string s and a boundary k, you really wanted to check if there exist k+1 non-void strings…

A: Here have to determine about the string s and a boundary problem statement.

Q: find Longest Common Subsequence Implementation in Java Example LCS for input Sequences “ABCDGH” and…

A: If we are given two strings, we must identify the longest subsequence that is shared by both of…

Q: What is the number of binary strings with n zeros and k ones that have at least m zeros between any…

A: Given, Number of zeroes =n. Number of ones =k. Hence, the length of the string =(n+k)     Each…

Q: Write an algorithm for addressing the subset-superset problem in string matching. That is, search a…

A: arr[] = {"catgc", "ctaagt", "gcta", "ttca", "atgcatc"} Initialize: temp[] = {"catgc", "ctaagt",…

Q: We showed that there is at least one incompressible string of length n for every n E N. Show that it…

A: there must exist at least one incompressible string of length n for every n E N.

Q: algorithm for finding all occurrences of a sequence P in another sequence T can also be implemented…

A: Algorithm is a term used to describe a set of rules or instructions that are used to solve issues,…

Q: 9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two…

A: Answer is given below with full description

Q: Prove that A = {www|w is a string from {a,b}*} is not regular. Consider the string s=apbapbapb

A: Prove that the given expression is not regular Assume that A is regular. Let p1 be the pumping…

Q: This is for Discrete Math. Please help. Thanks

A: please see the next step for solution

Q: mplement  algorithm ColoringPlane(lines)  pre-cond: lines specifies n (infinitely long) lines.…

A: given data: pre-cond: lines specifies n (infinitely long) lines.…

Q: Design in JFLAP a simulator of a finite deterministic automaton that (only) recognizes Even length…

A: Solution: To designing the finite automata for the even length binary number , We know to that the…

Q: The running time of topological sort for a DAG G(V, E) is: O a. O(E) O b. O(degree(u)) O. O(V| +…

A: Topological sorting for Directed Acyclic Graph (DAG) is defined as a linear ordering of vertices in…

Q: A tandem repeat of a base string b in a string s is a substring of s having at least two consecutive…

A: In this question we have to understand and implement  a linear-time algorithm that, given two…

Q: Suppose we are given a string of parentheses. First show that telling whether they are properly…

A: Space complexity is a term used that are used to describe the amount of memory space required by an…

Q: Consider some input string s and some index i. The longest substring s[i], ... , s[j − 1] that is a…

A: Please find the answer in the following steps.

Q: Polycarp accepts that a bunch of k sections is acceptable in case there is a fragment [li,ri]…

A: Here have to determine about the Treasure of The Segments programming problem statement.

Q: A string w of a's and b's is valid if it satisfies one of the following conditions: • w is the empty…

A: We can implement the program as follows:   Algorithm String_Validity( String a, String b , String…

Q: Let L = (ab,aa, baa; and consider the strings w=ba^5baa,x=abaabaaabaa,y=a^4ba^4, z=ba^5ba^4b. Which…

A: First I consider  w = ba^5baa  means w = baaaaabaa  As I break down the above string " baa aa ab aa"…

Q: t will give you a maximum flow. This version use BFS to search path. Assume the first is…

A: In this implementation, the maximum_flow_bfs function takes an adjacency matrix as input and…

Q: ) if(A[j] > A[j+1]) swap(A, j, j+1); What is the invariant for the inner loop?

A: The invariant for the inner loop is that after each iteration of the inner loop, the largest element…

Q: Write an algorithm and implement the same in C to solve weight sub set problem for the following…

A: Algorithm: We can use recursive way to solve the weight sub set problem.  Let's have a last element…

Q: Give the DFA for the substring A A A A A A A Assume the input alphabet is A B C D.

A: As per our guidelines, only one question will be answered. So, please repost the remaining questions…

Q: If a is a symbol and n > 0, then an denotes a···a, or in words, the string of length n consisting of…

A: If a is a symbol and n > 0, then an denotes a···a, or in words, the string of length n consisting…

Q: We showed that there is at least one incompressible string of length n for nat it is not possible…

A: Proof by example: Suppose that you are right, and there is exactly one incompressible string of…

Q: Write a program to implement the naive string-matching algorithm (Algorithm 1). Insert a conditional…

A: Given: 1) Write a program to implement the naive string-matching algorithm (Algorithm 1). Insert a…

Q: Design an algorithm which takes a compressed string C having characters from a fixed alphabet A and…

A: For a given string C and alphabet A, need to trace complete string, and also determine the time and…

Q: Describe an algorithm that given two regular expressions R1 and R2 outputs YES if and only if every…

A: To determine if every string generated by R1 is also generated by R2, we can iterate through every…

Q: longest string that occurs at least twice in T. The algorithm returns three numbers begin1, end1,…

A: Write an algorithm called Longest-Repeated-Substring(T) that takes a string Trepresenting some text,…

Q: A tandem repeat of a base string b in a string s is a substring of s having at least two consecutive…

A: To solve this problem, we can use a modified version of the Knuth-Morris-Pratt (KMP) algorithm. The…

Q: Write a python function to implement Dijkstra’s shortest path algorithm.

A: Dijkstra’s Shortest Path Algorithm is an algorithm that is used for finding the shortest path from a…

Q: If we are given with the two strings we have to find the longest common sub-sequence present in both…

A: Implementation in Java

Q: Let L = {(D) | D is a DFA over the binary alphabet, which accepts at least one string that has 100…

A:

Q: Given string s = n_1 n_2 n_3... E S * to be a concatenation of all characters at even positions…

A: Given string is  s = n_1 n_2 n_3....... belongs to S*  even(s) = n_2 n_4 n_6......