1) a) b) Consider the following recursive function. You can assume that it will be invoked with non-negative integers. int mystery (int n, { } = m) if (n == return n; int m) else if (n == 0) return m; else if (m == 0) return n; else return mystery(m, n % m); Trace the execution of the three function calls mystery(363, 55), mystery(126, 49), and mystery(81, 37). For each of these three cases, how many calls do each of them make until they return the answer? What are the values of the parameters in each of the calls? Which base case do they reach? What does the mystery function actually do? Can you connect it to a known algorithm for solving this problem?

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CodeW X bFor fun X C Solved x b Answer + x https://codeworko... CodeWorkout X265: Recursion Programmlng Exercise: GCD The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD , write the missing base case condition and action. This function will compute the greatest common divisor of x and y.You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows: = x and GCD(x, y) = GCD(y, x % y). Examples: GCD (6, 4) -> 2 Your An swer: 1 public int GCD(int x, int y) { if > { 2. > 3. } else { 4. return GCD(y, x % y); 9. { 7. 1:09 AM 50°F Clear 1V 1. 12/4/2021 甲

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?

Identify the base case in this recursive function. Assume i> 0 when the function is invoked. (Line numbers are not part of the code.) 1. def add(i, j): 2. if i == 0: 3. return j 4. else: 5. return add(i - 1, j + 1) This function has no base case O line 5 line 1 line 4 O line 2 Question 6 The following recursive function is supposed to return a list that is the reverse of the list it was given. But it has a bug. What is the bug? (Line numbers are not part of the code.) MooP eok Dr

4. CodeW X For func X C Solved b Answer x+ https://codeworkou... ... [+) CodeWorkout X271: Recursion Programming Exercises: Minimum of array For function recursiveMin, write the missing part of the recursive call. This function should return the minimum element in an array of integers. You should assume that recursiveMin is initially called with startIndex = 0. Examples: recursiveMin({2, 4, 8}, 0) -> 2 Your Answer: 1 public int recursiveMin(int numbers[], int startIndex) { numbers.length - 1) { if (startIndex 2. return numbers[startIndex]; } else { return Math. min(numbers[startIndex], >); 5. { 1:11 AM 50°F Clear 12/4/2021

Given this recursive function: unsigned long secret(unsigned long x, unsigned long y) { if(y < 0) throw std::invalid_argument("oops"); if(y == 0) return 1; else return x * secret(x, y - 1); } a) What is the result of calling secret(3, 4)? b) What does this function do / what purpose does it serve? c) Rewrite this function without using recursion (i.e. use loops). It must have identical externally visible behavior.

For glass box testing of a recursive function, you should test cases where: a) the function returns without a recursive call, ie using a base case b) the function makes exactly one recursive call c) the function makes more than one recursive call d) all of these

6. Consider the following recursive function. int Fun ( int n ) if ( n == 4 ) return 2 else return 2 * Fun ( n + 1 ) end if end Fun What is the value returned by the function call Fun ( 2 ) ?

Please can be handwritten. Question 2: Implementing a Recursive Function . Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. After writing the steps, trace the function for “recursiveprob(5)” as shown in an example slide number 61. Function Output: >> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16