Write a recursive function called print_num_pattern() to output the following number pattern
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- 11.10 LAB: All permutations of names C++ Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names (until -1), and use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia -1 then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia Please help with //TODO #include <vector>#include <string>#include <iostream> using namespace std; // TODO: Write method to create and output all permutations of the list of names.void AllPermutations(const vector<string> &permList, const vector<string> &nameList) { } int main(int argc, char* argv[]) {vector<string> nameList;vector<string> permList;string name; // TODO: Read in a list of names; stop when -1 is read. Then call…4.10 LAB: All permutations of names Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names, then use a recursive function to create and output all possible orderings of those names separated by a comma, one ordering per line. When the input is: Julia Lucas Mia then the output is (must match the below ordering): Julia, Lucas, Mia Julia, Mia, Lucas Lucas, Julia, Mia Lucas, Mia, Julia Mia, Julia, Lucas Mia, Lucas, Julia def print_all_permutations(permList, nameList): # TODO: Implement method to create and output all permutations of the list of names. if __name__ == "__main__": nameList = input().split(' ') permList = [] print_all_permutations(permList, nameList)1. 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. 2. A palindrome is a string that reads the same both forward and backward. For example, the string "madam" is a palindrome. Write a program that uses a recursive function to check whether a string is a palindrome. Your program must contain a value-returning recursive function that returns true if the string is a palindrome and false otherwise. Do not use any global variables; use the appropriate parameter.
- 1. Implement a recursive function called firstTwo that returns the sum of the firsttwo digits in a positive number. If there is only one digit, that digit is returned.Note this function is returning an integer, not printing. There should be no use ofcout within your function.Title line: int firstTwo(int n)ex. firstTwo(8325) returns 11ex. cout << firstTwo(428); // prints 62. Implement a function called findMinGap that will return the smallest gap betweenadjacent entries of an integer array. A gap between two numbers is the absolutevalue of their difference. For example, if an array contains the elements {10, 14,-5, -3, 0, 5, 7}, the minimum gap is 2 (between -5 and -3).Title line: int findMinGap(int array[], int length)3. Implement a function called findLargestIndex which returns the index of the rowwith the largest sum.ex. int array[3][6] = {{3, 6, 8, 2, 4, 1}, // sum = 24{2, 4, 5, 1, 3, 4}, // sum = 19{1, 0, 9, 0, 1, 0}}; // sum = 11If the findLargestIndex function was called…1. Implement a recursive function called firstTwo that returns the sum of the firsttwo digits in a positive number. If there is only one digit, that digit is returned.Note this function is returning an integer, not printing. There should be no use ofcout within your function.Title line: int firstTwo(int n)ex. firstTwo(8325) returns 11ex. cout << firstTwo(428); // prints 62. Implement a function called findMinGap that will return the smallest gap betweenadjacent entries of an integer array. A gap between two numbers is the absolutevalue of their difference. For example, if an array contains the elements {10, 14,-5, -3, 0, 5, 7}, the minimum gap is 2 (between -5 and -3).Title line: int findMinGap(int array[], int length)3. Implement a function called findLargestIndex which returns the index of the rowwith the largest sum.ex. int array[3][6] = {{3, 6, 8, 2, 4, 1}, // sum = 24{2, 4, 5, 1, 3, 4}, // sum = 19{1, 0, 9, 0, 1, 0}}; // sum = 11If the findLargestIndex function was called…12.10 LAB: All permutations of names- Java Write a program that lists all ways people can line up for a photo (all permutations of a list of Strings). The program will read a list of one word names (until -1), and use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia -1 then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia
- Q2: A positive integer is entered through the keyboard, write a function to display the Fibonacci series upto ‘n’ positive integer (1) Without using recursion (2) Using recursionC. In permutations and combinations, the term “n C r” refers to n combinationstaken r at a time.??? =?!/?! (? − ?)!Write a recursive function to find the factorial of a number.Use the defined function to compute the term “nCr” for the following scenario:The values of ‘n’ and ‘r’ are stored in two parallel arrays of any user definedsize . You have to Read the arrays n and r at run time. Compute n C r for eachcorresponding terms in the array ‘n’ and ‘r’, and display it properly formatted.Also your program should print the current date and time using libraryfunctionsQ#2 Write a recursive function zeroCount ( int a[ ], int s, int e) that receives an array of integers a [], a start index s, and an end index e. The function should return the number of zeros in that array between s and e. int zeroCount ( int a[ ], int s, int e); Trace your function given the following array and function call. Draw your steps. int a[ ] = {1, 0, 0, 5}; int zeros = zeroCount(a, 0, 3); language c++
- Q1: A positive integer is entered through the keyboard, write a function to display the Fibonacci series upto ‘n’ positive integer (1) Without using recursion (2) Using recursion . Q2: To fully define a variable one needs to mention not only its ‘type’ but also its ‘other properties’. In other words, not only do all variables have a data type, they also contain other properties. Explain the concept that will help us to describe the properties of any variable.4.3.1: Calling a recursive function. Write a statement that calls the recursive function backwards_alphabet() with input starting_letter.Sample output with input: 'f'f e d c b a def backwards_alphabet(curr_letter):if curr_letter == 'a':print(curr_letter)else:print(curr_letter)prev_letter = chr(ord(curr_letter) - 1)backwards_alphabet(prev_letter) starting_letter = input() ''' Your solution goes here '''(7) Implement the ShortenSpace() function. ShortenSpace() has a string parameter and updates the string by replacing all sequences of 2 or more spaces with a single space. ShortenSpace() DOES NOT output the string. Call ShortenSpace() in the PrintMenu() function, and then output the edited string. Ex: Edited text: We'll continue our quest in space. There will be more shuttle flights and more shuttle crews and, yes, more volunteers, more civilians, more teachers in space. Nothing ends here; our hopes and our journeys continue!