S is a set of strings recursively defined as follows. Base case: Every variable from the set {a, b, c, d, e, ƒ} is in S. Recursive rules: If x € S and y = S, then: 1. (x + y) € S 2. x-yЄ S Indicate which expressions are in S. (d.e.a) a+b a.b.c ☐ (a+d).e
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- Exponent y Catherine Arellano mplement a recursive function that returns he exponent given the base and the result. for example, if the base is 2 and the result is 3, then the output should be 3 because the exponent needed for 2 to become 8 is 3 (i.e. 23 = 8) nstructions: 1. In the code editor, you are provided with a main() function that asks the user for two integer inputs: 1. The first integer is the base 2. The second integer is the result 2. Furthermore, you are provided with the getExponent() function. The details of this function are the following: 1. Return type - int 2. Name - getExponent 3. Parameters 1. int - base 2. int - result 4. Description - this recursive function returns the exponent 5. Your task is to add the base case and the general case so it will work Score: 0/5 Overview 1080 main.c exponent.h 1 #include 2 #include "exponent.h" 3 int main(void) { 4 int base, result; 5 6 printf("Enter the base: "); scanf("%d", &base); 7 8 9 printf("Enter the result: ");…2. Sum: a recursive function that computes the sum of integers 1, 2, 3, …., n for a given number n. So Sum(6) should return 1 + 2 + 3 + 4 + 5 + 6 , i.e. 21.sum(n) = n + sum(n-1)Recursive Multiplication Design a recursive function that accepts two arguments into the parameters x and y. The function should return the value of x times y. Remember, multiplication can be performed as repeated addition as follows: 7×4=4+4+4+4+4+4+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.) IN Q BASIC LANGUAGE
- 3. A palindrome is a sentence that contains the same sequence of letters read-ing it either forwards or backwards. A classic example is "Able was I, ere I saw Elba." Write a recursive function that detects whether a string is a palindrome. The basic idea is to check that the first and last letters of the string are the same letter; if they are, then the entire string is a palindrome if everything between those letters is a palindrome. There are a couple of special cases to check for. If either the first or last character of the string is not a letter, you can check to see if the rest of the string is a palindrome with that character removed. Also, when you compare letters, make sure that you do it in a case-insensitive way. Use your function in a program that prompts a user for a phrase and then tells whether or not it is a palindrome. Here's another classic for testing: "A man, a plan, a canal, Panama!"Recursive Multiplication Design a recursive function that accepts two arguments into the parameters x and y. The function should return the value of x times y. Remember, multiplication can be performed as repeated addition as follows: 7×4=4+4+4+4+4+4+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.)Recursive Power FunctionWrite a function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised and the exponent. Assume that the exponent is a nonnegative integer. Demonstrate the function in a program. SAMPLE RUN #0: ./recursiveExponent Hide Invisibles Highlight: Show Highlighted Only 2^3=8↵ 2^4=16↵ 3^3=27↵ 6^3=216↵ 7^7=823543↵ 10^9=1000000000↵
- Recursive PrintingDesign a recursive function that accepts an integer argument,n , and prints the numbers 1 up through n .Recursive functions are ones that repeat themselves repeatedly.Question 1 Not complete Marked out of 1.00 Flag question Write a recursive function named count_non_digits (word) which takes a string as a parameter and returns the number of non-digits in the parameter string. The function should return 0 if the parameter string contains only digits. Note: you may not use loops of any kind. You must use recursion to solve this problem. You can assume that the parameter string is not empty. For example: Test Result print(count_non_digits ('123')) print(count_non_digits ('2rPTy5')) print(count_non_digits ('hello world')) 11 Precheck Check 0 4 Answer: (penalty regime: 0, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 %) 1
- Automata and Computability related question - Design Regular Expressions for the following languages.Strings that contain ‘01’ as substrings at any place except at the beginning or at the end. It accepts 1010,110110 etc. but does not accept 01, 0110, 1101, 00, etc. Ʃ={0, 1}Recursive function: Writing the recursive case. Write code to complete PrintFactorial()'s recursive case. Sample output if input is 5: 5! = 5 * 4 * 3 * 2 * 1 = 120 #include <stdio.h> void PrintFactorial(int factCounter, int factValue){int nextCounter;int nextValue; if (factCounter == 0) { // Base case: 0! = 1printf("1\n");}else if (factCounter == 1) { // Base case: Print 1 and resultprintf("%d = %d\n", factCounter, factValue);}else { // Recursive caseprintf("%d * ", factCounter);nextCounter = factCounter - 1;nextValue = nextCounter * factValue; /* Your solution goes here */ }} int main(void) {int userVal; scanf("%d", &userVal);printf("%d! = ", userVal);PrintFactorial(userVal, userVal); return 0;}Write a recursive function to print all the permutations of a string. For example, for the string abc, the printout is:abcacbbacbcacabcba(Hint: Define the following two functions. The second function is a helper function.def displayPermuation(s):def displayPermuationHelper(s1, s2): The first function simply invokes displayPermuation(" ", s). The secondfunction uses a loop to move a character from s2 to s1 and recursively invokes t with a new s1 and s2. The base case is that s2 is empty and prints s1 to the console.)Write a test program that prompts the user to enter a string and displays all its permutations.