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- of the form 1m0n1k, where m, n, k are odd. 3. Build a Finite Automaton to generate all string: of the form 1m0n1k, where m, n and k are greater than 0 and divisible by 3.Given L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.L={anbman | n,m=1,2,3....} is given. Show the leftmost derivation for the string aaaabbbaaaa.
- The word's length in a finite language with its FA of ten states O must be less than ten length of all words in this language is exactly ten may be greater than ten undetermined by the given information To test if an FA of 4 states over alphabets accepts any string or not, O O test only strings of length 4 test all strings with length less than 4 test one string of length greater than 4 check all possible strings of Σ What do you add in the following statement of pumping-lemma-I to make it a statement of pumping-lemma-II. Let L be any infinite regular language accepted by an FA with P states defined over an alphabet Σ then there exist three strings x, y, and z belonging to Σ*( where y is not the null string) such that all the strings of the form xyz for n=1,2,3, ... are the words in L. (length of x + length of y) is less or equal to N Ⓒ (length of x + length of y) is greater or equal to N (length of x + length of z) is less or equal to N length of all words is greater or equal to NGiven below are two statements: S1: If a Graph G is n colorable then it's also n+1 colorable. S2: Every Bipartite graph is 2 colorable Which of the above statement(s) is/are correct?Implement the following Boolean expression. EQ = (AoO Bo) (A: O Bi) (A2© B2) (A3O B3)
- Suppose a string Z is formed by interspersing the characters from other two strings X and Y. The new string Z is called a shuffle of X and Y if characters in Z com- ing from the same string still keep the order as in the original string. For example, the strings PRODGYRNAMAMMIINCG and DYPRONGARMAMMICING are both shuffles of DYNAMIC and PROGRAMMING: PRODGYRNAMAMMIINCG DYPRONGARMAMMICING Given three strings A[1..m], B[1..n], and C[1..m+n], design a dynamic programming algorithm to determine if C is a shuffle of A and B.Q5: Design a PDA for accepting a language (0"1"0 | m, n-1} give the ID form as we explain in the lecture. Apply the string "00011000" on this PDA using ID transitions.Given R=b*(ba+∪a+)+b*and S=(a*ba+b)∗ draw the automaton R and S
- 1. depends on pseudo code described algorithm below find primes up to N in java rogramming language. For all numbers a : from 2 to sqrt(N) IF a is unmarked THEN a is prime For all multiples of a (a < n) mark them as composite All unmarked numbers are prime Input N: 200 Primes up to 200: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 Hint: Put 1 to n in a array. Mark composites with 0.Determine whether a string is a palindromeA palindrome is a string of characters that reads the same from right to left as it does from left to right, regardless of punctuation and spaces.The specifications for this assignment are: •Write and test a non-recursive solution in Java that determines whether a string is a palindrome •Your program should consist of at least two methods: (1) the main method (2) the method which performs the task of determining whether the specified string is a palindrome. You should name this method isPalindrome. You should name the class that contains your “main” method and the isPalindrome method FindPalindrome. •You must use a Stack and a Queue in your solution: Write your own Stack and Queue based on the Vector in the Java API and use those in your solution. You should name those classes StackVector and QueueVector respectively. You already have access to the relevant exception classes and interfaces for the above ADTs. •All of your belong to a Java…just need some help brainstorming through this problem. Provide a regular expression σ over the alphabet {a, b, c} for the set: with an even number of a’s (2a, 4a ...etc) example: the set of strings with at least one substring aa{a, b, c, ε}^∗, aa, {a, b, c, ε}^∗ Please provide solution correctly if you attempt this