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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- Recursive Sum! Write a recursive function rc_sum(n:int) -> int that returns the sum of the first n positive integers. The function should look very similar to the factorial function you have seen before. Your Answer: 1 # Put your answer here 2 SubmitIn C programing Write a recursive function that returns the product of the digits of its integer input parameter, n. You may assume that n is non-negative. For example, productDigits(243) should return 24, since 2 x 4 x 3 = 24.int productDigits (int n) {Write the definition of a recursive function int simpleSqrt(int n) The function returns the integer square root of n, meaning the biggest integer whose square is less than or equal to n. You may assume that the function is always called with a nonnegative value for n. Use the following algorithm: If n is 0 then return 0. Otherwise, call the function recursively with n-1 as the argument to get a number t. Check whether or not t+1 squared is strictly greater than n. Based on that test, return the correct result. For example, a call to simpleSqrt(8) would recursively call simpleSqrt(7) and get back 2 as the answer. Then we would square (2+1) = 3 to get 9. Since 9 is bigger than 8, we know that 3 is too big, so return 2 in this case. On the other hand a call to simpleSqrt(9) would recursively call simpleSqrt(8) and get back 2 as the answer. Again we would square (2+1) = 3 to get back 9. So 3 is the correct return value in this case.
- Write a recursive function called digit_count() that takes a positive integer as a parameter and returns the number of digits in the integer. Hint: The number of digits increases by 1 whenever the input number is divided by 10. Ex: If the input is: 345 the function digit_count() returns and the program outputs: 3 # TODO: Write recursive digit_count() function here. if __name__ == '__main__': num = int(input()) digit = digit_count(num) print(digit)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CodeW For fun X C Solved https://codeworkou... 臺亂 CodeWorkout X272: Recursion Programming Exercise: Is Reverse For function isReverse, write the two missing base case conditions. Given two strings, this function returns true if the two strings are identical, but are in reverse order. Otherwise it returns false. For example, if the inputs are "tac" and "cat", then the function should return true. Examples: isReverse("tac", "cat") -> true Your Answer: 1 public boolean isReverse(String s1, String s2) { 2. if > 3. 4. else if > return true; return false; 5. 6. else { String s1first = String s2last return s1first.equals (s2last) && 51. substring(0, 1); s2, substring(s2.length() 1); 7. 8. 6. isReverse(s1.substring(1), s2.substring(0, s2.length() 1)); { 12} 1:11AM 50°F Clear 12/4/2021
- Python Test: import recursive_functionsimport mathdef main():# Test factorialprint('Testing factorial.')assert recursive_functions.factorial(0) == 1assert recursive_functions.factorial(1) == math.factorial(1) == 1assert recursive_functions.factorial(2) == math.factorial(2) == 2assert recursive_functions.factorial(5) == math.factorial(5) == 120assert recursive_functions.factorial(7) == math.factorial(7) == 5040print('All tests pass for `factorial` ()\n')# Test sum_recursivelyprint('Testing sum_recursively.')assert recursive_functions.sum_recursively(0) == 0assert recursive_functions.sum_recursively(1) == sum(range(1+1)) == 1assert recursive_functions.sum_recursively(2) == sum(range(2+1)) == 3assert recursive_functions.sum_recursively(10) == sum(range(10+1)) == 55print('All tests pass for `sum_recursively` () ')# Test sumlist_recursively(l)print('Testing sumlist_recursively.')assert recursive_functions.sumlist_recursively([1,2,3]) == sum([1,2,3])assert…The 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.How can I apply this python code? def createList(n): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return [] def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return [] def Sieve_of_Eratosthenes(list): #Base Case/s if len(list) < 1 : return list #Recursive Case/s else: return [list[0]] + Sieve_of_Eratosthenes(removeMultiples(list[0],…
- Write a recursive function diff which takes two positive integer arguments (x and y) and returns |x – y|. You may not perform an x - y calculation anywhere in the function! Example calls: diff(3, 7) returns 4; diff(7,3) returns 4 In JAVAWe define the following recursive Python function: def cool (n): if n==0: return 2 if n==1: return 1 return cool(n-1)+2*cool(n-2) where n is assumed to be a natural number. Change the cool function into a dynamic programming one: def coolDP (n) using memoisation. Note that you can use Python dictionaries for this function.Write a recursive function that finds factorial. Ex 4 >>>> 24 WRITE IN PYTHON PLEASE