Write a C++ recursive function PrintPattern3 to print following pattern using recursion. No loops allowed whatsoever, and you can write maximum two functions apart from main function. For example, calling your function with these argument PrintPattern1(1,5) should print following pattern. Your function prototype must be as follows recursive function. void PrintPattern3(int start, int end);
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Write a C++ recursive function PrintPattern3 to print following pattern using recursion. No loops allowed whatsoever, and you can write maximum two functions apart from main function. For example, calling your function with these argument PrintPattern1(1,5) should print following pattern. Your function prototype must be as follows recursive function.
void PrintPattern3(int start, int end);
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- 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 subtractionIn 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.Write 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 C programing Write a recursive function that returns the product of the digits of its integer input parameter, n. You may assume that n is non-negative. For example, productDigits(243) should return 24, since 2 x 4 x 3 = 24.int productDigits (int n) {What is the return value of the function call Comp(4, 5), given the recursive function Comp defined below: int Comp(int a, int b) { if (a + b <= 6) return 3; else return Comp(a-1, b) + Comp(a, b-1); }Write C++ code. Write a recursive function, reverseDigits, that takes an integer as a parameter and returns the number with the digits reversed. Write output also.
- 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 functionIn C++ Write a recursive function called PrintNumPattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For this lab, do not end output with a newline. Ex. If the input is: 123 the output is: 12 9 6 3 0 3 6 9 12 #include <iostream> using namespace std; // TODO: Write recursive PrintNumPattern() function int main(int argc, char* argv[]) { int num1; int num2; cin >> num1; cin >> num2; PrintNumPattern(num1, num2); return 0;}Write a C++ program that checks if a number is Palindrome (use recursive function as you code). A palindrome number is a number that reads the same from beginning to end and from end to beginning, in other words, a palindrome number remains the same when its digits are reversed. For example, 13431 is a palindrome number. 2332 is another one. (Note: Your program should receive an integer number as the input and always work with integer types, i.e., you cannot use string or char types throughout your code. You cannot convert the input to a string.)
- 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.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".Write a small C++ program that defines a recursive function GCD based on the model of the Lisp function (defun gcd (n m)"Returns the gcd of two numbers" (let ((dividend n) (divisor m) (remainder 1)) (while (/= remainder 0) (setq remainder (mod dividend divisor)) (setq dividend divisor) (setq divisor remainder)) dividend)) In the main function, write a loop (while or do) that repeats the following actions: ask the user to enter two numbers, compute their GCD and output it, until the user enters 0 for one of the numbers.