Draw the activation frame diagram for the following recursive function “factorial()”Code:#include<stdio.h>int factorial(int n); int main(void){int s; s=factorial(5); printf("%d",s); return 0;}/*Compute n! using a recursive definitionPre: n >= 0*/ intfactorial(int n){int ans;if (n == 0) ans = 1; elseans = n * factorial(n - 1);return (ans);}
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Draw the activation frame diagram for the following recursive function “factorial()”
Code:
#include<stdio.h>
int factorial(int n);
int main(void){
int s;
s=factorial(5);
printf("%d",s);
return 0;
}
/*
Compute n! using a recursive definition
Pre: n >= 0
*/ int
factorial(int n)
{
int ans;
if (n == 0) ans = 1;
else
ans = n * factorial(n - 1);
return (ans);
}
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- 7. Convert this iterative function into recursive function. [s] int factorial (int num){ int answer=1; for(int t = 1; t>num; t++) { answer answer * (t); return (answer); }Recursion in programming is described as when a function/method makes a direct or indirect call to itself. Which of the features is not valid for a recursive function. Select one: a. The Recursive calls can be more then one b. The Recursive Call – the function calls itself with an input which is a step closer to the stop condition c. The Stoping Conditions can be more than one d. The Recursive call is optional. e. A Stop Condition – the function returns a value when a certain condition is satisfied, without a further recursive callConsider 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?
- Part 2: Recursive Fractals Examine this pattern of asterisks and blanks, and write a recursive function called pattern() that can generate patterns such as this: pattern(3, 2); pattern(5, 1); pattern(7, 0); With recursive thinking, the function needs only about 10 lines of code (including two recursive calls). Your function prototype should look like this: // Description: I/ The longest line of the pattern has n stars beginning in column col of the output. // Precondition: n is an positive odd number. // Postcondition: A pattern based on the above example has been printed. void pattern (int n, int col); No error handling needed for this part. Assume that user will provide you a positive odd int as n, and a non-negative int as col. Hint: Think about how the pattern is a fractal. Can you find two smaller versions of the pattern within the large pattern? Here is some code that may be helpful within your function: // A loop to print exactly col columns for (int i = 0; i < col; i++) cout <«…Please explanation this recursive function Each and every statement1.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;
- describe a recursive function that cannot be rewritten as non recursivec programming Task 3: Complete armstrong_task3.c by implementing armstrong_recursive function. int armstrong_recursive (int arm); It performs same operation as in Task 1, however in a recursive manner. A number to be checked whether it is armstrong or not is given as an input and the function returns the summation of the digits. If the returned value is equal to the given input value then it is an armstrong number.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.
- What happens if a recursive function does not handle base cases correctly?12. Consider the recursive function int gcd( int a, int b) int gcd( int a, int b){ if (b > a) return gcd(b,a); if ( b == 0 ) return a; return gcd( b, a% b); } How many invocation (calls) of the gcd() function will be made by the call gcd(72, 30)?please typed Let the function fun be defined as: int fun(int* k) { *k += 6; return 4 * (*k); } Suppose fun is used in a program as follows: void main() { int i = 10, j = 20, sum1, sum2; sum1 = (i / 2) + fun(&i); sum2 = fun(&j) + (j / 2); } Question: What are the values of sum1 and sum2 if a) operands in the expressions are evaluated left to right? b) operands in the expressions are evaluated right to left?