Task 3: Complete armstrong_task3.c by implementing armstrong recursive function. int armstrong_recursive (int arm); It performs same operation as in Task 1, however in a recursive manner. A number to be checked whether it is armstrong or not is given as an input and the function returns the summation of the digits. If the returned value is equal to the given input value then it is an armstrong number.
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- (C Language) 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 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.Recursive Exponentiation (using c language) Write a recursive function power(base, exponent) that when invoked returns baseexponent. For example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equal to 1. Then, write a demo program that uses the power function and test it out for a number of inputs. Hint: The recursion step would use the relationship baseexponent = base * baseexponent–1 and the terminating condition occurs when exponent is equal to 1 because base1 = baseWrite a recursive function that takes a positive integer and returns the factorial of that integer. Attention, the function must be recursive, and its name must be "fatorial".
- 3. A palindrome is a sentence that contains the same sequence of letters read-ing it either forwards or backwards. A classic example is "Able was I, ere I saw Elba." Write a recursive function that detects whether a string is a palindrome. The basic idea is to check that the first and last letters of the string are the same letter; if they are, then the entire string is a palindrome if everything between those letters is a palindrome. There are a couple of special cases to check for. If either the first or last character of the string is not a letter, you can check to see if the rest of the string is a palindrome with that character removed. Also, when you compare letters, make sure that you do it in a case-insensitive way. Use your function in a program that prompts a user for a phrase and then tells whether or not it is a palindrome. Here's another classic for testing: "A man, a plan, a canal, Panama!"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>>;}Write a recursive function power( base, exponent ) that when invoked returns baseexponentFor example, power( 3, 4 ) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than orequal to 1. Hint: The recursion step would use the relationship baseexponent = base * baseexponent1and the terminating condition occurs when exponent is equal to1 becausebase1 = base c language
- Java C++ Write a recursive function that accepts two arguments into the parameters x and y. The function should return the value of x times y. Remember, multiplication can be performed as repeated addition: 7∗4=4+4+4+4+4+4+47 * 4=4+4+4+4+4+4+47∗4=4+4+4+4+4+4+4In 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 the following program in Racket: Remember there are no loops in a pure functional language so anything you need to do multiple times must be done using recursion. Write a function dates_in_month that takes a list of dates and a month (i.e., an int) and returns alist holding the dates from the argument list of dates that are in the month. The returned list shouldcontain dates in the order they were originally given. To make your life easier you may want to write an append function to be used in this one. It should take two list and append the second onto the first. Include your test cases please
- A palindrome is a sentence that contains the same sequence of letters reading it either forwards or backwards. A classic example is '1\.ble was I, ereI saw Elba." Write a recursive function that detects whether a string is apalindrome. The basic idea is to check that the first and last letters of thestring are the same letter; if they are, then the entire string is a palindromeif everything between those letters is a palindrome.There are a couple of special cases to check for. If either the first orlast character of the string is not a letter, you can check to see if the restof the string is a palindrome with that character removed. Also, when youcompare letters, make sure that you do it in a case-insensitive way.Use your function in a program that prompts a user for a phrase andthen tells whether or not it is a palindrome. Here's another classic fortesting: '1\. man, a plan, a canal, Panama!"program in C++ with the name, towers.cpp which helps to solve the Towers of Hanoi puzzle using this recursive approach. The main() routine should make a single call to the recursive member function do Towers(). This function then calls itself recursively until the puzzle is solved. Note: solve as soon as possible