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- Design the following LCG random number generators by choosing the following parameters ( a, c, m, and Zo ) carefully and writing the recursive formula for each of the following: a . LCG1: has Zo = 17. b. LCG2 : has 128 > m > 16 LCG3 : has c = 7 d . LCG4: has a = 7 e. LCG5: has c not equal to 3 C.Write a recursive function that finds n-th power of number m. Ex:m=3 n=4 Ans=81 WRITE IN PYTHON PLEASEWrite the output of the following recursive code snippet. void exam_recursive_function (int x) If (x == 0) Return printf ("%d", x) exam_recursive_function (x-2) int main () exam_recursive_function (20) return 0 (a) 20 19 18 17 16 15 14 13 12 11 10 9 876543210 (b) 18 17 16 15 14 13 12 11 10 9 876543210 (c) 20 18 16 14 12 10 8642 (d) 2 468 10 12 14 16 18 20
- 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↵8. Ackerman's Function Ackermann's Function is a recursive mathematical algorithm that can be used to test how well a system optimizes its performance of recursion. Design a function ackermann(m, n), which solves Ackermann's function. Use the following logic in your function: 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)) Once you've designed yyour function, test it by calling it with small values for m and n. Use Python.By using a recursive function to find s value: S= 2/x – 4/x + 6/x – 8/x .. 2n/x
- Write a program that performs the following functionalities:1. Fibonacci: a recursive function that computes the fibonacci series, which is defined as followsfibonacci (n) = fibonacci(n-2) + fibonacci(n-1)fibonacci(0) = 0fibonacci(1) = 1 So the fibonacci looks like: 0 1 1 2 3 5 8 13 21 34 …. Therefore, fibonacci(4) = 3, fibonacci(5) = 5, fibonacci(7)=13 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) 3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself. 4. The 4th problem mimics the situation where eagles flying in the sky can be spotted and…Consider the following function: void fun_with_recursion(int x) { printf("%i\n", x); fun_with_recursion(x + 1); } What will happen when this function is called by passing it the value 0?4. CodeW. X b For fun X Solved x b Answer x+ Ohttps://codeworko... CodeWorkout X264: Recursion Programming Exercise: Multiply For function multiply,write the missing base case condition and action. This function will multiply two numbers x and y.You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 Your Answer: 1 public int multiply(int x, int y) { 2. if > { > } else { return multiply(x 1, y) + y; 3. 5. { 7. 1:08 AM 50°F Clear 日
- Using Java programming write 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+4Write a recursive function to compute the following series: m(i) = 1 + 1/2 + 1/3 + . . . + 1/i Write a test program that displays m(i) for i 1, 2, ..., 10.Language: C Using the recursion, show all different ways to represent an integer N as sum of non-zero natural numbers. For example, for N = 3, you have the following possibilities: 3, 2 + 1, 1 + 2, 1 + 1 + 1. Problem 2