Modify the recursive Fibonacci program given in this chapter so that itprints tracing information. Specifically, have the function print a messagewhen it is called and when it returns. For example, the output shouldcontain lines like these: Computing fib(4)0 0 0Leaving fib(4) returning 3 Use your modified version of fib to compute fib(10) and count howmany times fib(3) is computed in the process.
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Modify the recursive Fibonacci
prints tracing information. Specifically, have the function print a message
when it is called and when it returns. For example, the output should
contain lines like these:
Computing fib(4)
0 0 0
Leaving fib(4) returning 3
Use your modified version of fib to compute fib(10) and count how
many times fib(3) is computed in the process.
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- This is for Java Write a recursive function that takes as a parameter a nonnegative integerand 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 inthe pattern and uses the recursive function to generate the pattern. Forexample, specifying 4 as the number of lines generates the above pattern. Java pleaseA palindrome is any word, phrase, or sentence that reads the same forward and backward. Here are some well-known palindromes:Able was I, ere I saw ElbaA man, a plan, a canal, PanamaDesserts, I stressedKayakWrite a bool function that uses recursion to determine if a string argument is a palindrome. The function should return true if the argument reads the same forward andbackward. Demonstrate the function in a program.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.
- 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.Fibonacci numbers are a sequence of integers, starting with 1, where the value of each number is the sum of the two previous numbers, e.g. 1, 1, 2, 3, 5, 8, etc. Write a function called fibonacci that takes a parameter, n, which contains an integer value, and have it return the nth Fibonacci number. (There are two ways to do this: one with recursion, and one without.)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 please
- Write a recursive function called that takes a string of single names separated by spaces and prints out all possible combinations (permutations), each combination on a new line. When the input is: Alice Bob Charlie then the output is: Alice Bob Charlie Alice Charlie Bob Bob Alice Charlie Bob Charlie Alice Charlie Alice Bob Charlie Bob Alice Here is my original code that needs to be fixed: def all_permutations(permList, nameList): # TODO: Implement method to create and output all permutations of the list of names. if nameList == len(permList) - 1: return nameList else: for x in range(permList, len(nameList)): permList[nameList], permList[x] = permList[x], permList[name_List] return all_permutations(permList, nameList + 1) permList[nameList], permList[x] = permList[x], permList[name_List] if __name__ == "main": nameList = input().split(' ') permList = [] all_permutations(permList, nameList)Implement a recursive function called evens that returns an integer with only theeven numbers. Note this function is returning an integer, not printing. There shouldbe no use of cout within your function. The function declaration should look asfollows:int evens(int n);(ex. evens(234567); returns 246)(ex. cout << evens(56032); prints 602)Implement the function total_price, which takes in a list of prices of individual products and needs to find the total price. Unfortunately, any product that is priced greater than or equal to $20 has a 50 percent tax, so include that in the final price. Try to do this in one line! Cast your final answer to an integer to avoid floating point precision errors. For example, if x contains your final answer, return int(x)! def total_price(prices): Finds the total price of all products in prices including a 50% tax on products with a price greater than or equal to 20. >>> total_price ([5, 20, 30, 71) 87 total_price([8, 4, 3]) >>> total_price ([10, 100, 4]) 164 >>> 15 "*** YOUR CODE HERE ***"
- Write a recursive function called draw_triangle() that outputs lines of '*' to form a right side up isosceles triangle. Function draw_triangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Hint: The number of '*' increases by 2 for every line drawn. Ex: If the input of the program is: 3 the function draw_triangle() outputs: * *** Ex: If the input of the program is: 19 the function draw_triangle() outputs: * *** ***** ******* ********* *********** ************* *************** ***************** ******************* Note: No space is output before the first '*' on the last line when the base length is 19. if __name__ == '__main__': base_length = int(input()) draw_triangle(base_length)Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion.For function decToBinary, write the missing parts of the recursion case. This function should return a string that stores the binary equivalent for int variable num. Example: The binary equivalent of 13 may be found by repeatedly dividing 13 by 2. So, 13 in base 2 is represented by the string "1101". Examples: decToBinary(13) -> "1101" public String decToBinary (int num) { if (num < 2) return Integer.toString(num); else return <<Missing recursive call>> + <<Missing calculation>>;}