Consider the following recursive function: def collatz (n): if n == 1: return 0 if n % 2 == 0: return 1 + collatz(n // 2) else: return 1 + collatz(n * 3 + 1) How many recursive cases does the function contain?
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- What type of recursion is used in the following function? int f(int n){ if (n==1) return 1; else return n+f(n-1); } Tail recursion Multiple recursion Indirect recursion Non-tail recursionWhich is the base case of the following recursion function: def mult3(n): if n == 1: return 3 else: return mult3(n-1) + 3 else n == 1 mult3(n) return mult3(n-1) + 3The following recursive function takes three positive integer arguments: def compute(n,x,y) : if n==0 : return x return compute(n-1,x+y,y) What is the value returned by the compute function? n*x+y x+y x+n*y x What if: will the returned value be for the compute function defined in the question above if the argument n is negative? x x-n*y x+n*y The function will never return a value.
- Given two integers x snf y, the following recurrsive definition determined the greatest common divisor of x and y, Write gcd(xy). Write a recursive function, gcd, that takes two integers as parameters and returns the greatest commmon divisorof numbers.Also write a program to test your function. Write a recursive function,reverseDigits, that takes an integer as a parameter snd returns the number with the digits reversed. Also write a program to test your application.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); }}need help Writing a recursive function, isPalindrome, to check if a string is a palindrome. Return true if the string is a palindrome; otherwise, return false. in javascript example isPalindrome('Kayak'); // => true i sPalindrome('NEVERODDOREVEN'); // => true i sPalindrome('Tacocat'); // => true isPalindrome('SELFLESS'); // => false
- 1.The following is the C code that you need to implement for this lab: uint8_ t f(uint8_tn) return(n<2)?(n):(f(n-1)+f(n-2)); The main function can be assumed as follows: int main() uint8_ t x; x=f(???); return 0; Obviously, " ? ? ? " is representing a value used to test the algorithm! Is "f"recursive? a.No answer text provided. b.Yes c.no d.depends on whether it is in for main 2.First, make the code in the previous question an actual C program so that it can be compiled and it runs. Play with it so that you feel comfortable with the logic of the code. Then implement the code in TTPASM. Note that you need to preserve the actual C code structure, this means you cannot it into a non-recursive subroutine. Furthermoreall conventions discussed in class regarding subroutines must be followed. The idea is that I should be able to substitute f with my own code, and main should work. Or, I can substitute main with my own, and f should work. Attach the source code of your assembly…(Using the programming language C, answer the following question) Write recursive C functions to do the following: Example: int summ(int n) returns the summation of integers from 0 to n. Here is the code. int summ(int n) { if(n < 0) return -1; if(n == 0) return 0; return n + summ(n - 1);} 1) If n is less than 0, the expression int bunnyEars(int n) returns -1; otherwise, it returns the number of ears for n bunnies. int factorial(int n) returns -1 if n is less than 0, otherwise returns the factorial of n. If n is greater than or equal to 0, the expression int fib(int n) returns -1; otherwise, it returns fib of n - 1 + fib of n - 2. (This will run quite slowly if you test it with more than roughly 50 digits.). int posPow(int base, int exp) returns -1 if exp is less than 0, otherwise returns base raised to the power exp. Write a main() that tests all the other functions thoroughly.An alternative strategy for the expo function uses the following recursive definition: expo(number, exponent) = 1, when exponent = 0 = number * expo(number, exponent – 1), when exponent is odd = (expo(number, exponent // 2)) ** 2, when exponent is even Define a recursive function expo that uses this strategy, and state its computational complexity using big O notation. Note: The program should output in the following format: 0 1 1 2 2 4 3 8 4 16 --------------------------------------------------------------------------------- def expo(base, exponent): expo.calls += 1 # Used to track recursive call count # Write you recursive expo function here expo.calls = 0 def main(): """Tests with powers of 2.""" for exponent in range (5): print(exponent, expo(2, exponent)) if __name__ == "__main__": main()
- 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 CConsider the following recursive function:int Func(int num){if (num == 0)return 0;elsereturn num+Func(num+1);}1. Is there a constraint on the values that can be passed as a parameter for this function to passthe smaller-caller question?2. Is Func(7) a good call? If so, what is returned from the function?3. Is Func(0) a good call? If so, what is returned from the function?4. Is Func(-5) a good call? If so, what is returned from the function?In C++ Write a recursive function called PrintNumPattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For this lab, do not end output with a newline. Ex. If the input is: 123 the output is: 12 9 6 3 0 3 6 9 12 #include <iostream> using namespace std; // TODO: Write recursive PrintNumPattern() function int main(int argc, char* argv[]) { int num1; int num2; cin >> num1; cin >> num2; PrintNumPattern(num1, num2); return 0;}