In Kotlin, Write a higher-order function that takes two arguments and returns a String. The first argument is a String and the second is a function that takes a Char and returns a Boolean. Your function should return a String containing those of the characters in the original String for which the function returns true. Use a tail-recursive helper function. Remember to make sure you get the tail recursion right by using the tailrec annotation. Test the function
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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.Implement a recursive C++ function which takes two integers num and den as arguments and returns theinteger quotient that will result when num is divided by den. The prototype of your function should be:int quotient (int num, int den)Hint: Think about repeated subtractionWrite 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.
- In this lab, we will practice: Implementing recursive function printing in a recursive function (before and after the recursion function call) working on setting the base and general cases for the recursion function Instructions Write a recursive function called print_num_pattern() to output the following number pattern. Given two positive integers as input (Ex: 12 3), subtract the second integer (3) from the first one (12) and print the result continually until 0 or a negative value is reached. Then continually print the result of the addition of the second integer to the last value you reached from the subtraction (zero or negative) until the first integer is reached again. Note: For this lab, do not end output with a newline. Ex. If the input is: 12 3 the output is: 12 9 6 3 0 3 6 9 12 Hint You do not need to actually do addition. You can write statements i.e. printing statements after the recursion function call.In kotlin, Write a recursive linear search function that takes a String and a Char and returns true if the String contains the Char. The base cases are that a) the length of the String is 0 or b) the first character in the String is the character we are searching for. then Modify the linear search function so that both the String and the Char are nullable. If either is null, return false.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.
- Below,enter code to complete implementation of a recursive function sum_all_integers(), which takes an input n and adds all intergers preceding it, up to n: add_all_integers(n):Please write in c++, and use the recursion to solve this problem, thanks in advance! For this assignment, you will write a function that takes two strings. int findDistributedString(string haystack, string needle);and returns the number of times that needle appears in haystack. The characters in needle must appear in the right order in the haystack string, but they do not have to appear side-byside.For example, if haystack is "call me Ishmael" and needle is "meal", yourfunction should return 1, because "meal" appears in "call me Ishmael" once: call me IshmaelWrite a recursive function in C 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.
- 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.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…Need 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".