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Java C++
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: 7∗4=4+4+4+4+4+4+47 * 4=4+4+4+4+4+4+47∗4=4+4+4+4+4+4+4
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- In lisp Write a simple recursive function to compute the f(n) for the following sequence: f(n) = f(n-1) + f(n-3) f(0) = 0, f(1) = f(2) = 1 Optimize this function using dynamic programming. You can assume that the number n in the function call for testing will be less than 20.Q6 In Python implement a recursive function named test() that accepts an integer parameter. If the parameter value is even then the test function should divide the parameter value by 2 and return this value. If the parameter value is odd, then the function should return 3 times the parameter value + 1. Then request a user to enter an integer number and recursively call converge() on that number until the function returns the value 1.Write a recursive function int fib (int n) to compute the Fibonacci numbers where n is a positive integer.Write an application (main() function) using command line parameters that calls fib(n) and outputs n,fin(n), fib(n)*1.0/fib(n-1) for n = 3,4,5,6,7,8,9,10,11,12,13,14,15In a format fprintf (stdout,“n = %d\tfib(n) = %d\tfib(n)/fib(n-1) = %.4f\n”, n, fib(n), fib(n)*1.0/fib(n-1))The ratio of fib(n) to fib(n-1) for large values of n (larger than say 10) is called the golden ratio.Plot a curve between n and golden ratio.Submit the assignment by dropping the MS word file containing the program code, results (take a screenshot of the Cygwin/ubantu) and paste to the word file in C
- For function decToBinary, write the missing parts of the recursion case. This function should return a string that stores the binary equivalent for int variable num. Example: The binary equivalent of 13 may be found by repeatedly dividing 13 by 2. So, 13 in base 2 is represented by the string "1101". Examples: decToBinary(13) -> "1101" public String decToBinary (int num) { if (num < 2) return Integer.toString(num); else return <<Missing recursive call>> + <<Missing calculation>>;}in C programing Write a recursive function that returns 1 if an array of size n is in sorted order and 0 otherwise. Note: If array a stores 3, 6, 7, 7, 12, then isSorted(a, 5) should return 1 . If array b stores 3, 4, 9, 8, then isSorted(b,4) should return 0.int isSorted(int *array, int n){Create a recursive function with arguments N and K in python 3 that does the following specifications:Using numbers ranging from 0 to 15 (inclusive), create all possible lists which sum up to K and have a length of N. Duplicated numbers are allowed as long as it fulfills the conditions above (this means [0,0,1], [0,1,0] and [1,0,0] are all correct outputs if K=1 and N=3) The function returns the number of created lists which follow the specifications mentioned. For example, given K=23 and N=2, the expected output of the function is 8. Constraints:1) The time complexity must be O(n) or faster. Indicate the time complexity of created code as proof.(Redundant due to constraint above, but still it is important to note that the function must be able to finish in 9 seconds or less when N=10)2) You are not allowed to use external libraries or itertools.
- In Lisp Programming (Please show that it does work) Write a simple recursive function to compute the f(n) for the following sequence: f(n) = f(n-1) + f(n-3) f(0) = 0 f(1) = f(2) = 1 Optimize this function using dynamic programming. You can assume that the number n in the function call for testing will be less than 20.please code in python Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. The pseudocode is: # Base case: if b is 1, you can just return a + 1 # General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1.Write a program called Recursive_fibonacci.java that implements a recursive function for computing the nth term of a Fibonacci Sequence. In the main method of your program accept the value of n from the user as a command-line argument and then call your function named Fibonacci with this value. The output should look exactly like what is pictured below.
- Write a recursive function that, given a sequence of comparable values, returns the count of elements where the current element is less than the following ( next ) element in the given sequence. See the examples given below. def count_ordered ( seq ) : """ Input : A sequence of comparable elements Output : The number of elements that are less than the following element in the sequence Example : >>> count_ordered ( [ 1 , 2 , 3 , 4 , 5 , 6 ] ) 5 >>> count_ordered ( ( 1 , 12, 7.3 , -2,4 ) ) 2 >>> count_ordered ( 'Python' ) 2 >>> count_ordered ( [ 6 ] ) 0 >>> count_ordered ( [ ] ) 0 """ In the first example above , count_ordered ( [ 1,2,3,4,5,6 ] )the returned answer is 5 because for all the first 5 numbers the current number is less than the next number. In the second example above, count_ordered ( ( 1,12,7.3 , -2,4 ) )the…IN C Programing Let us define the weighted sum of an integer array a[0], a[1], a[2], …, a[n-1] be a[0]*1 + a[1]*2 + a[2]*3 + …+a[n-1]*n. For example, the weighted sum of the array [5,2,6] would be 5*1+2*2+6*3 = 27. Write a recursive function that takes in an array numbers and its length n, and returns its weighter sum. You can assume n is non-negative integer. int weightedSum(int numbers[], int n) {Write a small C++ program that defines a recursive function GCD based on the model of the Lisp function (defun gcd (n m)"Returns the gcd of two numbers" (let ((dividend n) (divisor m) (remainder 1)) (while (/= remainder 0) (setq remainder (mod dividend divisor)) (setq dividend divisor) (setq divisor remainder)) dividend)) In the main function, write a loop (while or do) that repeats the following actions: ask the user to enter two numbers, compute their GCD and output it, until the user enters 0 for one of the numbers.