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- 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…implement QuickSort of ints that sorts the numbers in the non-decreasing order and in c language Implement the rearrange function used for QuickSort using the O(n) time algorithm with two pointers. The function gets as input an array, and index of the pivot. The function rearranges the array, and returns the index of the pivot after the rearrangement. please write form as: int rearrange(int* A, int n, int pivot_index); 2, Implement the QuickSort algorithm. For n<=2 the algorithm just sorts the (small) array (smaller number first). - For n>=3 the algorithm uses the rearrange function with the pivot chosen to be the median of A[0], A[n/2], A[n-1]. write as form: void quick_sort(int* A, int n);A sml binarySearch function that recursively implements the binary search algorithm to search a sorted integer list for a specified integer and returns true if it is found, false otherwise. For example, binarySearch ([100,200,300,400,500], 200) returns true, whereas binarySearch([100,200,300,400,500], 299) returns false. Hint: Write a helper function mid that returns a tuple (index, value) representing the middle value in a list. For example, mid [10, 2, 40, 8, 22] returns (2,40) because the value 40 at index 2 is the middle value in the list. Similarly, mid [10, 20] would return (1, 20). Use mid in conjunction with slice to implement binarySearch.
- Write a complete Program in Java to implement circular queue using array for the following tasks: 1. Method to insert the new element in the circular queue 2. Method to delete an element from the circular queue 3. Method to display all the elements of the circular queue 4. Create the test class to perform the operations on circular queue in the following sequence: a. Add a new element 10 b. Add a new element 20 c. Add a new element 30 d. Add a new element 40 e. Display all elements f. Delete from the circular queue g. Delete from the circular queue h. Add a new element 50 i. Add a new element 60 j. Add a new element 70 Please screenshot of the outputWrite a c program and fill a queue with random numbers between 0 and 100. The size of thequeue is assumed to be 15. After filling the array with random numbers, display the elementsin the queue and remove the elements of the queue and store these numbers according to thefollowing criteria.If the number in the queue is less than 50, remove it from the queue and store it insidequeue 2.Else, remove the number and store these values inside queue 3.Display all three queues on the screen.PYTHON: Give a recursive implement to the following function: def split_by_sign(lst, low, high) The function is given a list lst of non-zero integers, and two indices: low and high (low ≤ high), which indicate the range of indices that need to be considered. The function should reorder the elements in lst, so that all the negative numbers would come before all the positive numbers. Note: The order in which the negative elements are at the end, and the order in which the positive are at the end, doesn’t matter, as long as all he negative are before all the positive. Please type answer no write by hend.
- The Binary Search algorithm works by testing a mid-point, then eliminating half of the list. In this exercise, you are going to take our binary search algorithm and add print statements so that you can track how the search executes. Inside of the recursive binary search function, add print statements to print out the starting, ending, and midpoint values each time. Then as you test a value, print out the results, either too high, too low, or a match. Sample Output Starting value: 0 Ending value: 9 Testing midpoint value: 4 Too high! Starting value: 0 Ending value: 3 Testing midpoint value: 1 Too low! Starting value: 2 Ending value: 3 Testing midpoint value: 2 Match!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 10The code below serves as a template where the base case and the recursive calls are done. The specific task is to implement the partitioning where elements are either put to the left or right of the pivot depending on their relative values. Input Format The first line contains an integer n, the number of elements in the list. The next n lines would be the unsorted elements of the list. Constraints 1 ≤ n ≤ 10000 Each element i is: -1000 ≤ i ≤ 1000 Minimize auxiliary space usage. Output Format n lines that display the n elements of the sorted list. Smallest element first, largest element last. Example Input 15 3 44 38 5 47 15 36 26 27 2 46 4 19 50 48 Example Output 2 3 4 5 15 19 26 27 36 38 44 46 47 48 50
- Implement two different versions of quicksort in a high level programming language. The first version will use the first element of the array as the pivot. The second version will use the median of the first element, middle element, and last element of the array as the pivot. For each version, compare the performance on random arrays of data of sizes 10n for n = 2, 3, and 4. Create three graphs (one for the random data, one for the increasing data, and one for the decreasing data) to illustrate your results. Discuss these results.python code Write a recursive function such that, given a list of intergers (say v) and an integer value (say x), the function returns resulting subset if there is a subset of intergers in v that sum up to x. Otherwise the function returns an empty list; Also write a sample code that runs this function using an example list and value x, and state the expected result/** * Write a Java function to determine if the elements of an array can be split into two groups such that the sum of one group is a non-zero multiple of 10 and the sum of the other group is odd. Your solution must use recursive backtracking. <code> * Example: * Given: {1, 2, 6, 3, 1} * Result: true because {1,2,6,1}, {3} is one possibility. * * Example: * Given: {4, 3, 5, 2} * Result: false * </code> */ public static boolean splitOdd10(int[] num) { }