Let E = {a, b}. Let L = {a'ba* | i > 0}. Give a Turing machine (TM) that accepts the language L. Assume ; that, when the TM starts, the head is on a blank symbol, A, and the input string is immediately after that blank symbol on the tape. For example, if the input string were aaabaaa, then the inital tape configuration would be A a aa baaa
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- 1. a.Palindromes Complete the function palindrome(String text). Return true if text is a palindrome; if the word is identical forward and backward. Otherwise, return false. Example: palindrome(“racecar”) == true palindrome(“kayaks”) == false See main() for more examples. You can use text.charAt(i) to find the character at index i of text. Use recursion. palindrome() should call itself. No loops allowed. b. Complete the function nestedBrackets(String s). This function should find properly nested brackets within s. Return true if brackets are opened and closed correctly, and false otherwise. Single pairs and nested pairs are valid. For example: z[z]z, [zz[zz]z], [z[[z]zzz]], zzzzz Incorrect pairings and multiple separate pairs are not valid. For example: zz[zz, ]zzz[, [zzz][z], [z[z][z]z] See main() for more examples. nestedBrackets() should call firstIndexOf() and lastIndexOf() to help you solve the problem. Use recursion. nestedBrackets() should call itself. No loops…Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × AInput: A set of n movies. A positive integer k. A positive integer q. A function f that takes two movies X, Y, and gives a positive similarity score f(X, Y) in constant time. Task: Design an efficient algorithm that partitions the movies into exactly k disjoint sets such that movies from different sets have a similarity score at most q. If such groups cannot be made, then print 'Unsatisfiable'. Yeah, please what is the time complexity for this algorithm, thanks.
- Not pseudocode Suppose the economies of the world use a set of currencies C1, . . . , Cn; think of these as dollars, pounds, Bitcoin, etc. Your bank allows you to trade each currency Ci for any other currency Cj, and finds some way to charge you for this service. Suppose that for each ordered pair of currencies (Ci, Cj ), the bank charges a flat fee of fij > 0 dollars to exchange Ci for Cj (regardless of the quantity of currency being exchanged). Describe an algorithm which, given a starting currency Cs, a target currency Ct, and a list of fees fij for all i, j ∈ {1, . . . , n}, computes the cheapest way (that is, incurring the least in fees) to exchange all of our currency in Cs into currency Ct. Also, justify the its runtime. [We are expecting a description of the algorithm, as well as a brief justification of its runtime.]Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two movies X, Y, and gives a positive similarity score f(X,Y) in constant time. Task: Design an efficient algorithm that partitions the movies into exactly k disjoint sets such that movies from different sets have a similarity score at most q. If such groups cannot be made, then print 'Unsatisfiable'. Give an efficient algorithm (to the best of your knowledge) and a formal proof of correctness for your algorithm. An answer without any formal proof will be considered incomplete. Analyze the running time of the algorithm. You must write down your algorithm as pseudocode or describe it as a set of steps (as we do in the class). Do not provide code that is written in a code editor using C/C++/Python/Java, etc.Artificial Intelligence- Java program Write code that accomplishes the following tasks. Consider two bags that can hold strings. One bag is named letters and contain seeral one-letter strings. The other bag is empty and is namedvowels. One at a time removed a string from letters. If the string contain a vowel place it into bag vowels, otherwise, discard the string. After you have checked all of the strings in letters, report the number of vowels and the number of times each voewl appears in the bag.
- 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.Question # 6 Make a suitable for machine for : L1={All strings that having prefix containing first 3 letters of your name separated by + or -, such that if there exits a vowel then there is + in between the letters and if there exists two consonants then there is - sign between them e.g. for the name ASM the string accepted will be A+S-M *Given: List L of pairs of characters String S Output: TRUE if S is a valid string, FALSE otherwise. A string is considered valid if each character in the string can be paired with another character in the string, where the pair belongs to the input list L. Furthermore, two pairs cannot cross each other. In other words, a pair most completely enclose another, or be completely separate. Design and implement an efficient dynamic programming solution to this problem. Examples: Input L: (a b) (b c) (c d) (a a) Input S: aaba Output: True (pairs shown color-coded: aaba, “aa” fully encloses “ab”) Input L: (a b) (b c) (c d) (a a) Input S: abcaad Output: True (pairs shown color-coded: abcaad, “ab” is separate from the other pairs) Input L: (a b) (b c) (c d) (a a) Input S: acbd Output: False (acbd is not valid because the pairs cross each other.) Input L: (a b) (b c) (c d) (a a) Input S: aaac Output: False Could you please provide python implementation to this?
- Given: List L of pairs of characters String S Output: TRUE if S is a valid string, FALSE otherwise. A string is considered valid if each character in the string can be paired with another character in the string, where the pair belongs to the input list L. Furthermore, two pairs cannot cross each other. In other words, a pair most completely enclose another, or be completely separate. Design and implement an efficient dynamic programming solution to this problem. Examples: Input L: (a b) (b c) (c d) (a a) Input S: aaba Output: True (pairs shown color-coded: aaba, “aa” fully encloses “ab”) Input L: (a b) (b c) (c d) (a a) Input S: abcaad Output: True (pairs shown color-coded: abcaad, “ab” is separate from the other pairs) Input L: (a b) (b c) (c d) (a a) Input S: acbd Output: False (acbd is not valid because the pairs cross each other.) Input L: (a b) (b c) (c d) (a a) Input S: aaac Output: FalseA uwuified sentence is sentence that has been transformed using a made-up Internet language in which some of the letters in the words are replaced by something else. The exact scheme is described below: Any uppercase/lowercase R or L is replaced by w/w, respectively. • If we encounter an o/o in a word, check if the previous letter (if it exists) is an M/m or N/n. If the previous letter is one of these, insert the lowercase letter y in between them, regardless of the capitalization of the other letters. • All other characters are left unchanged. Some examples: Professor will be converted to Pwofessow (There are two r's that are replaced by w's. Since the two o's aren't proceeded by an M/n or N/n, no y will be inserted.) LLunoacyo will be converted to wwunyoacyo (The two L's will be replaced with two ws according to the first rule. Then the first o will have a y inserted in front of it between then and the o according to the second rule. The last o won't have a y inserted in between…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.