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- Write a recursive Java function displayOutIn that displays two items from an array list at one instance from out-to-in. until one or last two items displayed and the process stops. For example, given array A = {15, 74, 106, 10, 9, 86, 34} the displayOutIn function displays the following: 15, 34 74, 86 106, 9 10Write a recursive function that finds the minimum value in an ArrayList. Your function signature should be public static int findMinimum(ArrayList<Integer>) One way to think of finding a minimum recursively is to think “the minimum number is either the last element in the ArrayList, or the minimum value in the rest of the ArrayList”. For example, if you have the ArrayList [1, 3, 2, 567, 23, 45, 9], the minimum value in this ArrayList is either 9 or the minimum value in [1, 3, 2, 567, 23, 45] ================================================ import java.util.*; public class RecursiveMin{public static void main(String[] args){Scanner input = new Scanner(System.in);ArrayList<Integer> numbers = new ArrayList<Integer>();while (true){System.out.println("Please enter numbers. Enter -1 to quit: ");int number = input.nextInt();if (number == -1){break;}else {numbers.add(number);}} int minimum = findMinimum(numbers);System.out.println("Minimum: " + minimum);}public static int…Write a recursive function named reverseWithinBounds that has an argument that is an array of characters and two arguments that are bounds on array indices. The function should reverse the order of those entries in the array whose indices are between the two bounds (including the bounds). For example, if the array is: a[0] == 'A' a[1] == 'B' a[2] == 'C' a[3] == 'D' a[4] == 'E' and the bounds are 1 and 4, then after the function is run the array elements should be: a[0] == 'A' a[1] == 'E' a[2] == 'D' a[3] == 'C' a[4] == 'B' Embed the function in a program and test it. After you have fully debugged this function, define another function named reverseCstring that takes a single argument that is a C string and modifies the argument so that it is reversed. This function will include a call to the recursive definition you did for the first part of this project, and need not be recursive. Embed this second function in a program and test it.
- Write a recursive function named reverseWithinBounds that has an argument that is an array of characters and two arguments that are bounds on array indices. The function should reverse the order of those entries in the array whose indices are between the two bounds (including the bounds). For example, if the array is: a[0] == 'A' a[1] == 'B' a[2] == 'C' a[3] == 'D' a[4] == 'E' and the bounds are 1 and 4, then after the function is run the array elements should be: a[0] == 'A' a[1] == 'E' a[2] == 'D' a[3] == 'C' a[4] == 'B' Embed the function in a program and test it. After you have fully debugged this function, define another function named reverseCstring that takes a single argument that is a C string and modifies the argument so that it is reversed. This function will include a call to the recursive definition you did for the first part of this project, and need not be recursive. Embed this second function in a program and test it. Turn in only this final result (with output,…Implement a recursive C++ function which takes an integer array (A) and the starting (start) and ending(end) indices of that array, and returns the sum of all elements present in that array. The prototype ofyour function should be:int findSum (int* A, int start, int end)Write a RECURSIVE function, without using any loops, that prints the contents of a matrix with 3 columns. The function should take the matrix and the number of rows as arguments. void print_matrix(int arr[][3], int num_rows);
- Write a recursive function recursiveMinimum that takes an integer array, a starting subscript, and an ending subscript as arguments, and returns the smallest element of the array. The function should stop processing and return when the starting sub- script equals the ending subscript. c++In C language, implement two recursive versions of the linear search that gets an array of songs and a title and searches for a song with the given title in the array. 1. In this version the function returns the first index of the array containing the number. If the number is not in the array, the function returns -1. int linear_search_rec_first(int* ar, int length, int number); 2. In this version the function returns the last index of the array containing the number. If the number is not in the array, the function returns -1. int linear_search_rec_last(int* ar, int length, int number); Example of test for case 1: void test_q3() { int ar1[]={1,2,3,4,5,4,3,2,1}; if (linear_search_rec_first(ar1,9,2)==1) printf("Q3-1 ok\n"); else printf("Q3-1 ERROR\n"); } Example of test for case 2: void test_q3() { int ar1[]={1,2,3,4,5,4,3,2,1}; if (linear_search_rec_last(ar1,9,2) == 7) printf("Q3-3 ok\n"); else printf("Q3-3 ERROR\n"); }Write a recursive function that, given a sequence of comparable values, returns the count of elements where the current element is less than the following ( next ) element in the given sequence. See the examples given below. def count_ordered ( seq ) : """ Input : A sequence of comparable elements Output : The number of elements that are less than the following element in the sequence Example : >>> count_ordered ( [ 1 , 2 , 3 , 4 , 5 , 6 ] ) 5 >>> count_ordered ( ( 1 , 12, 7.3 , -2,4 ) ) 2 >>> count_ordered ( 'Python' ) 2 >>> count_ordered ( [ 6 ] ) 0 >>> count_ordered ( [ ] ) 0 """ In the first example above , count_ordered ( [ 1,2,3,4,5,6 ] )the returned answer is 5 because for all the first 5 numbers the current number is less than the next number. In the second example above, count_ordered ( ( 1,12,7.3 , -2,4 ) )the…
- Write an iterative function that determines the number of even elements in an array a of integers of size n. The function should return the number of elements that are even in array a of size n. Propose an appropriate prototype for your function and then write its code. Write a recursive function to solve the above problem. Propose an appropriate prototype for your function and then write its code.IN C Programing Let us define the weighted sum of an integer array a[0], a[1], a[2], …, a[n-1] be a[0]*1 + a[1]*2 + a[2]*3 + …+a[n-1]*n. For example, the weighted sum of the array [5,2,6] would be 5*1+2*2+6*3 = 27. Write a recursive function that takes in an array numbers and its length n, and returns its weighter sum. You can assume n is non-negative integer. int weightedSum(int numbers[], int n) {Implement a recursive C++ function which takes an array of integers (arr) and the starting (start) andending (end) indices of a portion (part) of this array, and returns the index of thelargest element present in that portion of array arr. The prototype of your function should be:int findLargest (int* arr, int start, int end) For example, the function call findLargest(arr,3,8)should determine and return the index of the largest element present in the array arr between the indices 3and 8 (both inclusive)