g(x) = g(x - 1) * g (x - 3) if x is even and x > 3 = g(x - 2) if x is odd and x > 3 = x otherwise Write a recursive method to compute g
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in, java
Assume a function g(x) is defined as follows where x is an int parameter:
g(x) = g(x - 1) * g (x - 3) if x is even and x > 3
= g(x - 2) if x is odd and x > 3
= x otherwise
Write a recursive method to compute g.
Step by step
Solved in 3 steps with 1 images
- JAVA Write a static recursive method evenFactors that takes as input two positive integers and prints the even factors of the first integer that are greater than or equal to the second integer. For example, evenFactors(18,1) prints 2, 6, and 18, since the even factors of 18 that are greater than or equal to 1 are 2,6, and 18.9. Ackermann's Function Ackermann's function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann (m, n), which solves Ackermann's function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann (m Otherwise, return ackermann(m 1, 1) 1, ackermann (m, n - 1))In Java Ackermann’s Function Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann(m, n), which solves Ackermann’s function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann(m - 1, 1) Otherwise, return ackermann(m - 1, ackermann(m, n - 1)) Test your method in a program that displays the return values of the following method calls: ackermann(0, 0) ackermann(0, 1) ackermann(1, 1) ackermann(1, 2)ackermann(1, 3) ackermann(2, 2) ackermann(3, 2)
- Write a recursive function (no auxiliary functions, for/while loops, STL containers or functions, static/global variables) bool mirrorMirrorOnTheWall(string n); Given a string, recursively determine if the string is the same forwards and backwards. mirrorMirrorOnTheWall(""); mirrorMirrorOnTheWall("a"); mirrorMirrorOnTheWall("mirror"); // returns false mirrorMirrorOnTheWall("racecar"); // returns true // returns true // returns true Edit View Insert Format Tools Table 12pt v Paragraph v BIU ...public static int Ack(int m, int n) { if (m == 0) { return n + 1; } else if (n == 0) { return Ack (m } else { } } return Ack (m - - 1, 1); 1, Ack (m, n- What is the return value of this function for a. Ack(0,0) b. Ack(0,3) c. Ack(0,6) Can you use the above three samples and come up with a formula for Ack(0,n)? 1));JAVA Question 2: For two integers m and n, their GCD (Greatest Common Divisor) can be computed by a recursive method. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Method body: If m is 0, the method returns n. If n is 0, the method returns m. If neither is 0, the method can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n (or m % n). The recursive method cannot have loops. Note: although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. main method: Prompt and read in two numbers to find the greatest common divisor. Call the gcd method with the two numbers as its argument. Print the result to the monitor. Example program run: Enter m: 12 Enter n: 28 GCD(12,28) = 4 And here is what I have so far, package CSCI1302;import java.util.*;public class RecursionDemo { public static void…
- Solve the following problem by writing methods/functions A) Write a method int sum (int, int) with takes 2 parameter as an input to the function and return the sum of these numbers(negative or positive) , to the calling function by using recursion g. sum (6, 5 ) return 11 sum (-4, 3) return -1 sum (-3, -4 ) return -7 B) Write a method age (i) which takes input age in numbers of days as a parameters print the age in years and month Age (3750) will print 10 years, 3 months Solve with C#java C++ Ackermann’s FunctionAckermann’s Function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a function A(m, n) that solves Ackermann’s Function. Use the following logic in your function:If m = 0 then return n + 1If n = 0 then return A(m−1, 1) Otherwise, return A(m−1, A(m, n−1))Test your function in a driver program that displays the following values:A(0, 0) A(0, 1) A(1, 1) A(1, 2) A(1, 3) A(2, 2) A(3, 2) SAMPLE RUN #0: ./AckermannRF Hide Invisibles Highlight: Show Highlighted Only The·value·of·A(0,·0)=·1↵ The·value·of·A(0,·1)=·2↵ The·value·of·A(1,·1)=·3↵ The·value·of·A(1,·2)=·4↵ The·value·of·A(1,·3)=·5↵ The·value·of·A(2,·2)=·7↵ The·value·of·A(3,·2)=·29↵For function addOdd(n) write the missing recursive call. This function should return the sum of all postive odd numbers less than or equal to n. Examples: addOdd(1) -> 1addOdd(2) -> 1addOdd(3) -> 4addOdd(7) -> 16 public int addOdd(int n) { if (n <= 0) { return 0; } if (n % 2 != 0) { // Odd value return <<Missing a Recursive call>> } else { // Even value return addOdd(n - 1); }}
- in java Computing Powers, p(x,n)=xn1. Describe the definition of recursive function.oBase case(s)oRecursive case(s)2. Write the codeWrite a recursive function for int powerOfTwo (int k). The function determines the value of 2k. (Note: k is a positive integer). Example, when k=0 the function returns 1 and when k-3 the function returns 8. To show that your code is correct, give the recursive trace for powerOfTwo (2) that returns 4.Write a recursive function called that takes a string of single names separated by spaces and prints out all possible combinations (permutations), each combination on a new line. When the input is: Alice Bob Charlie then the output is: Alice Bob Charlie Alice Charlie Bob Bob Alice Charlie Bob Charlie Alice Charlie Alice Bob Charlie Bob Alice Here is the original code in Python: def all_permutations(permList, nameList): # TODO: Implement method to create and output all permutations of the list of names. pass if __name__ == "__main__": nameList = input().split(' ') permList = [] all_permutations(permList, nameList)