Consider a set S of strings defined recursively as follows: Base case: AES (A is the empty string, i.e. "" in programming.) • Recursive rules: if x = S and y = S then, 1. axb € S 2. xy Є S (a) List at least 8 distinct strings that are in S. You must use each recursive rule at least twice. (b) List at least 2 strings made up of only as and bs that are not in S.
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- Exercise 1: The number of combinations CR represents the number of subsets of cardi- nal p of a set of cardinal n. It is defined by C = 1 if p = 0 or if p = n, and by C = C+ C in the general case. An interesting property to nxC calculate the combinations is: C : Write the recursive function to solve this problem.a) Give a recursive definition for the set of all strings of a’s and b’s where n a’s followed by n b’s (where n= 0, 1, 2, 3, ...). (Assume, S is set of all strings of a’s and b’s. Then S = {λ, ab, aabb, aaabbb, ... ) b) Give a recursive definition for the set of all strings of 'a' 's and 'b' 's that ends with an 'ab'. (Assume, S is set of all strings of a’s and b’s. Then S = {ab, aab, bab, abab, baab, aaab, bbab, ... ).4. Remove the left recursion from the following production rule to obtain a new rule: A = A '0' | '1' | A '2' | '3' | A '4' | '5'
- Python Solve using RecursionProblem 2 -- Recursive Palindrome (Grey + Scarlet) Write a recursive method, isPalindrome, which takes a String as a parameter, and returns true if the String is a palindrome. For the purposes of this method, you may assume Strings with a length of o or 1 are palindromes.For any part that requires recursion, if you do not create a recursive function, that will result in a on that part.
- In the Factorial function, what condition terminates the recursion?make the step clearly and on paper pleaseCodeW For fun X C Solved https://codeworkou... 臺亂 CodeWorkout X272: Recursion Programming Exercise: Is Reverse For function isReverse, write the two missing base case conditions. Given two strings, this function returns true if the two strings are identical, but are in reverse order. Otherwise it returns false. For example, if the inputs are "tac" and "cat", then the function should return true. Examples: isReverse("tac", "cat") -> true Your Answer: 1 public boolean isReverse(String s1, String s2) { 2. if > 3. 4. else if > return true; return false; 5. 6. else { String s1first = String s2last return s1first.equals (s2last) && 51. substring(0, 1); s2, substring(s2.length() 1); 7. 8. 6. isReverse(s1.substring(1), s2.substring(0, s2.length() 1)); { 12} 1:11AM 50°F Clear 12/4/2021
- T/F 9. As loop variables and recursive solutions are also not used for iterative solutions, the recursive solution generally makes memorization more effective (use fewer stored) than the corresponding iterative solution.Create a recursive function that simulates the range function. For example: Enter the range (begin, end, increment) separated by spaces: 3 15 3 [3,6,9,12]2. Write the following recursive expression tree functions a. Prefix b. Infix c. Postfix d. Evaluate (Evaluate the expression tree-return the value)