1. Call a string of lettes ega if i can be produced by concatenating (running together) copies of the strings 'a, &...
1. Call a string of letters "legal if it can be produced by concatenating (running together) copies of the strings 'a', 'b', 'cc' and 'ddd'. For example, the string 'accb' is legal because it can be produced by concatenating 'a', 'cc' and 'b', but the string 'ccca' is not legal. For each integer n 21, let tn be the number of legal strings with n letters. For example, t1 2 (a and 'b' are the legal strings) (a) Write down...
Discrete mathematics 2) Let be eumber of ternary strings (of 0s, 1s and 2s) of length n that have no adjacent even digits. For example, so (the empty string), s3 (the strings 0, 1 and 2), while s2 5: 01, 0, 12, 2 because the strings 00,02, 20, 22 are not allowed, as they have adjacent even digits. As another example, the string 10112 is allowed, while the strings 10012 and 120121 are not allowed (a) Find #3; (b) find...
Programming language: Java m: substring length n: input strings d: Hamming distance (mismatch) I: Number of letters in Sample input string (s1, s2, s3) Strings consists of: A, C, G, and T Example outputs: Generate all possible possibilities of length m(4) using the values A, C, G, and T. EX possibilites: {A,A,A,A A,A,A,C.... G,G,G,G} and find all the possible combinations that have the same sequence with a hamming distance of 1 (only 1 difference) Given n input strings of length...
Given two strings X and Y, a third string Z is a common superstring of X and Y if X and Y are both subsequences of 2. (Example: if X = sos and Y = soft, then Z = sosft is a common superstring of X and Y.) Design a dynamic programming algorithm which, given as input two strings X and Y, returns the length of the shortest common superstring (SCS) of X and Y. Specifically, you have to write...
DO NUMBER 4 AND 5 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
DO NUMBER 3 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
Write down the regular expressions for the following set of strings over {a, b}: 1.Strings that contain no more than one occurrence of the string aa. 2.All strings containing aba: 3.All strings of odd length 4.A string in this language must have at least two a's. 5.All strings that begin with a, and have an even number of b Bonus - All strings with “a” at every odd position
Palindromes A palindrome is a nonempty string over some alphabet that reads the same forward and backward. Examples of palindromes are all strings of length 1, civic, racecar, noon, and aibohphobia (fear of palindromes). You may assume that in the problems below, an input string is given as an array of characters. For example, input string noon is given as an array s[L.4], where s[1] = n, s[2] = o, s[3] = o, and s[4] = n. (a) (15 pts)...
2. 9 marks] Strings. Consider the following definitions on strings Let U be the set of all strings Let s be a string. The length or size of a string, denoted Is, is the number of characters in s Let s be a string, and i e N such that 0 < ί < sl. We write s[i] to represent the character of s at index i, where indexing starts at 0 (so s 0] is the first character, and...