Write a recursive function named count_non_digits (word) which takes a string as a parameter and returns the number of non-digits in the parameter string. The function should return 0 if the parameter string contains only digits. Note: you may not use loops of any kind. You must use recursion to solve this problem. You can assume that the parameter string is not empty. For example:
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- Write a recursive function, reverseDigits, that takes an integer as a parameter and returns the number with the digits reversed. Also, write a program to test your function.The goal is to rewrite the function, below, such that passes in a different list of parameters, particularly eliminating the need to pass low and high for each recursive call to binary_search. defbinary_search(nums,low,high,item): mid=(low+high)//2iflow>high:returnFalse #The item doesn't exist in the list!elifnums[mid]==item:returnTrue# The item exists in the list!elifitem<nums[mid]:returnbinary_search(nums,low,mid-1,item)else:returnbinary_search(nums,mid+1,high,item) The new function should be prototyped below. The number of changes between the given version, and the one requested is not significant. defbinary_search(nums,item):pass# Remove this and fill in with your code Tip: If you consider that high and low are used to create a smaller version of our problem to be processed recursively, the version requested will do the same thing, just through a different, more Pythonic technique.Write a recursive function that returns a value of 1 if its string argument is apalindrome and zero otherwise.* Note that for the function parameters, you need to accommodate for the shrinkingstring, so that the string shrinks both from beginning and end after each recursive call.** Think about the simple cases or base cases. The 2 base cases have conditions thatwould return 0 and return 1 independently.For the palindrome, create a driver program. First ask the user to enter anystring through the keyboard. Then remove all the spaces and punctuations from thestring. Also, remove any letter capitalization from the string. Finally, pass the string tothe palindrome function through a function call.
- 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.Below is a recursive version of binarySearch:int binarySearch(int nums[], int low, int high, int target){ if (low > high) return -1; int mid = (low + high)/2; if (target == nums[mid]) return mid; else if (target < nums[mid]) return binarySearch(nums, low, mid - 1, target); else return binarySearch(nums, mid + 1, high, target);} Code Analysis ()If we change the first line of code in the function to be “if (low >= high) return -1;”, and we have an array defined as “int nums[] = {2, 3, 5, 7, 8, 10};”, answer the questions below if we called this function with “int index = binarySearch(nums, 0, nums.length - 1, 3);”For each iteration of binarySearch:1) What are the values of low, high, mid, and target variables?Below is a recursive version of binarySearch:int binarySearch(int nums[], int low, int high, int target){ if (low > high) return -1; int mid = (low + high)/2; if (target == nums[mid]) return mid; else if (target < nums[mid]) return binarySearch(nums, low, mid - 1, target); else return binarySearch(nums, mid + 1, high, target);} Code Analysis ()If we change the first line of code in the function to be “if (low >= high) return -1;”, and we have an array defined as “int nums[] = {2, 3, 5, 7, 8, 10};”, answer the questions below if we called this function with “int index = binarySearch(nums, 0, nums.length - 1, 3);”For each iteration of binarySearch:3) If the base case(s) are false, which recursive function call will be made?
- Below is a recursive version of binarySearch:int binarySearch(int nums[], int low, int high, int target){ if (low > high) return -1; int mid = (low + high)/2; if (target == nums[mid]) return mid; else if (target < nums[mid]) return binarySearch(nums, low, mid - 1, target); else return binarySearch(nums, mid + 1, high, target);} Code Analysis ()If we change the first line of code in the function to be “if (low >= high) return -1;”, and we have an array defined as “int nums[] = {2, 3, 5, 7, 8, 10};”, answer the questions below if we called this function with “int index = binarySearch(nums, 0, nums.length - 1, 3);”For each iteration of binarySearch:2) Will a base case be true? If so, what value is being returnedNeed help with this c++ problem Write a recursive function named lettersOnly that accepts a string str as a parameter and returns a string with the same characters as str, in the same order, but excluding any characters that are not alphabetic letters from A-Z, case-insensitive. For example, lettersOnly("{[[Friends, save $$$ with 'Geico'!!]]}") should return "FriendssavewithGeico".In Kotlin, Write and test a recursive function called harm with an expression body that takes an Int argument n and calculates the sum of 1/1 ... 1/n. For example, harm(3) should return about 1.833333333. You do not need to worry about integer division.
- Write a Python recursive function called contains_vowel that, given a list of strings, returns True if every string in the list contains a vowel, and False otherwise. Here are some example inputs and outputs: ● contains_vowel([“garage”, “this”, “man”]) => True ● contains_vowel([“ffff”, “this”, “man”]) => False ● contains_vowel([]) => False Make sure your function handles any list of strings, and returns the appropriate response. There are no restrictions on the string or list methods that you can use. You may also write any helper functions if you choose. The correctness tests total 24 points. Your function must be recursive in order to keep these correctness points. This means there should not be any loops in your solution.‘Write a function nesting(), which takes an arbitrary number of parameters, and returns a list containing the arguments. Write another function unnesting(), which takes a list L as the parameter and retums a 1D list. Notice that, you should be able to use loops to solve thisproblem and should not use recursive functions (which we will not cover in this course). ‘Write assertions to test the two functions.For example nesting(1, nesting(2, 3, nesting(4, 5, [6])), [7, 8], 9)unnesting([1, [2, 3, [4, 5, [6]]], [7. 8], 9]) (1, [2, 3, [4, 5, [6]]], [7, 8], 9][1, 2,3, 4, 5, 6, 7, 8 9]The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. Though the Sierpinski triangle looks complex, it can be generated with a short recursive function. Your main task is to write a recursive function sierpinski() that plots a Sierpinski triangle of order n to standard drawing. Think recursively: sierpinski() should draw one filled equilateral triangle (pointed downwards) and then call itself recursively three times (with an appropriate stopping condition). It should draw 1 filled triangle for n = 1; 4 filled triangles for n = 2; and 13 filled triangles for n = 3; and so forth. API specification. When writing your program, exercise modular design by organizing it into four functions, as specified in the following API: public class Sierpinski { // Height of an equilateral triangle whose sides are of the specified length. public static double height(double length) // Draws a filled equilateral…