What value will the f(4) return from the following recursive function? int f( int x ) { if( x == 0 )
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What value will the f(4) return from the following recursive function?
int f( int x )
{
if( x == 0 )
return 0; /* base case */
else
return 2 * f( x - 1 ) + x * x; /*recursive call*/
}
Step by step
Solved in 2 steps with 1 images
- 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?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); }What is the return value of the function call Comp(3, 4), given the recursive function Comp defined below: int Comp(int a, int b) { if (a + b <= 5) return 2; else return Comp(a-1, b) + Comp(a, b-1); } Question 6 options: 6 10 12 8
- 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 SubmitO correct or complete statements complete the identified statement such that the recursive function funx(n+1) = n*funx(n-1), any positive integer value of n, and funx(1)=1. * 1 float funx(int n) 2 E{ 3 if (nWrite a recursive function definition for the following function: int squares(int n); //Precondition: n >= 1 //Returns the sum of the squares of numbers 1 through n. For example, squares(3) returns 14 because 12 + 22 + 32 is 14.
- 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 ) ?T/F 6. Consider the following recursive sum method:public int sum(int x){if (x == 0) return 0;else return sum(x - 1) + 1;}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
- 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.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 <«…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)?