if n = 0 or n = 1 or n = 2 f(n) = {f(n – 2) + f(n – 4) %3D %3D otherwise
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- please code in python Write a recursive function power(x, n), where n is 0 or a postive integer. For example, power(2, 10) will return 1024. Write a suitable base case, and for the general case use the idea that x**n = x * (x**n-1).Write a program that asks a number “N” from user. Write a function that takes this number “N”, then returns the sum of numbers starting from N to 1. Use this function in your program and show the results. Be careful, your function should be recursive! I need code on C programmingThe 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.
- Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, then the pattern generated is:********************Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the above pattern.1.The following is the C code that you need to implement for this lab: uint8_ t f(uint8_tn) return(n<2)?(n):(f(n-1)+f(n-2)); The main function can be assumed as follows: int main() uint8_ t x; x=f(???); return 0; Obviously, " ? ? ? " is representing a value used to test the algorithm! Is "f"recursive? a.No answer text provided. b.Yes c.no d.depends on whether it is in for main 2.First, make the code in the previous question an actual C program so that it can be compiled and it runs. Play with it so that you feel comfortable with the logic of the code. Then implement the code in TTPASM. Note that you need to preserve the actual C code structure, this means you cannot it into a non-recursive subroutine. Furthermoreall conventions discussed in class regarding subroutines must be followed. The idea is that I should be able to substitute f with my own code, and main should work. Or, I can substitute main with my own, and f should work. Attach the source code of your assembly…Calling a recursive function. Write a statement that calls the recursive function backwards_alphabet() with input starting_letter.Sample output with input: 'f' f e d c b a def backwards_alphabet(curr_letter): if curr_letter == 'a': print(curr_letter) else: print(curr_letter) prev_letter = chr(ord(curr_letter) - 1) backwards_alphabet(prev_letter) starting_letter = input() ''' Your solution goes here '''
- Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, the pattern generated is as follows: **** *** ** * * ** *** **** Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the preceding pattern.Given two integers x snf y, the following recurrsive definition determined the greatest common divisor of x and y, Write gcd(xy). Write a recursive function, gcd, that takes two integers as parameters and returns the greatest commmon divisorof numbers.Also write a program to test your function. Write a recursive function,reverseDigits, that takes an integer as a parameter snd returns the number with the digits reversed. Also write a program to test your application.Write a recursive function, sumDigits, that takes an integer as a parameter and returns the sum of the digits of the integer. Also, write a program to test your function.
- create a function named powerHalf(x, n), where this function is recursive like power(x, n), but it also uses the idea that xn = (x n/2)2 when n is even. Use the global variable countcalls to verify that this version of the power function is more efficient than power(x,n), where n is 0 or a positive integer with the base case that: xn = x * xn-1 use python pleaseWrite a recursive function named sumSquares that returns the sum of the squares of the numbers from 0 to num, in which num is a nonnegative int variable. Do not use global variables; use the appropriate parameters. Also write a program to test your function.Consider a network of streets laid out in a rectangular grid, In a northeast path from one point in the grid to another, one may walk only to the north (up) and to the east (right). Write a program that must use a recursive function to count the number of northeast paths from one point to another in a rectangular grid. Your program should prompt the user to input the numbers of points to the north and to east respectively, and then output the total number of paths. Notes: 1. Here is a file (timer.h download and timer.cpp download) which should be included in your program to measure time in Window or Unix (includes Mac OS and Linux) systems (use start() for the beginning of the algorithm, stop() for the ending, and show() for printing). 2. The computing times of this algorithm is very high, and the number of paths may be overflow, don't try input numbers even over 16. 3. Name your recursive function prototype as calcPath(int north, int east) to ease grading. 4. Paste your output