Example 1: Use this example (recursive program) to test your compiler: var f, n; procedure fact; begin end. var ans1; begin end; n:=3; call fact; write f; ans1:= n; n:=n-1; ifn=0 then f:=1; ifn> 0 then call fact; f:=f*ans1;
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- Exponent y Catherine Arellano mplement a recursive function that returns he exponent given the base and the result. for example, if the base is 2 and the result is 3, then the output should be 3 because the exponent needed for 2 to become 8 is 3 (i.e. 23 = 8) nstructions: 1. In the code editor, you are provided with a main() function that asks the user for two integer inputs: 1. The first integer is the base 2. The second integer is the result 2. Furthermore, you are provided with the getExponent() function. The details of this function are the following: 1. Return type - int 2. Name - getExponent 3. Parameters 1. int - base 2. int - result 4. Description - this recursive function returns the exponent 5. Your task is to add the base case and the general case so it will work Score: 0/5 Overview 1080 main.c exponent.h 1 #include 2 #include "exponent.h" 3 int main(void) { 4 int base, result; 5 6 printf("Enter the base: "); scanf("%d", &base); 7 8 9 printf("Enter the result: ");…algorithm factorial input: integer n >= 0 output: n! if n = 0: return 1 else return n * factorial(n - 1) Identify Base cases? Making the recursive call on a subproblem? Solution incorporating the solution to the subproblem? 1. One or more base cases 2. One or more recursive calls on a smaller arguments (subproblem) 3. One or more ways to create a solution with the results of the recursive call2. 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)
- Recursive Multiplication Design 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+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.)1.Show the valid base case statements. 2.Show the valid general case statements. 3.Based on the recursive function produce a snippet of non-recursive code that will behave the same with the recursive (e.g. using loop). 4.Consider the following recursive functions: int func(int x) { if (x == 0) return 2; else if ( x == 1 ) return 3; else return (func(x - 1) + func(x - 2) ); } 4i.cout<<func(O)<<endl; 4ii.cout<<func(l)<<endl; 4iii. cout<<func (2) <<endl;4iv. cout<<func (5) <<endl;Consider the following pseudo code, Method func() { PRINT “This is recursive function" func() } Method main( { func() } What will happen when the above snippet is executed?
- Recursive Multiplication Design 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+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.) IN Q BASIC LANGUAGEFor 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 these1. Assume the following recursive function: int sequence(int num) //Line 1{ //Line 2if (num == 0) //Line 3return num; //Line 4else //Line 5return(num + sequence num - 1)); //Line 6} //Line 7a. Identify the base case.b. Identify the general case.c. What valid values can be passed as parameters to the function sequence?d. If sequence (-3) is a valid call, what is its value? If not, explain why. (Data structure and algorithm in c++)
- 7. Recursive Power Method In Python, design a function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised, and the exponent. Assume the exponent is a nonnegative integer.CFG: Example 1 • Draw the CFG for the following code: int f(int n){ } int m = n* n; if (n < 0) else return 0; return m;1. Assume the following recursive function: (M-4) int sequence(int num) //Line 1{ //Line 2if (num == 0) //Line 3return num; //Line 4else //Line 5return(num + sequence num - 1)); //Line 6} //Line 7a. Identify the base case.b. Identify the general case.c. What valid values can be passed as parameters to the function sequence?d. If sequence (-3) is a valid call, what is its value? If not, explain why.