Please draw a recursion tree also! And don't copy paste. 1. Write the recursive algorithm taught in class to find the longest common subsequence For the following generate a recursion tree. b a 545 g b 10 g h 10

Write a recursive function that returns the largest integer in a list. Write a test program that prompts the user to enter a list of integers and displays the largest element.

Simple MIPs Recursive Procedure Write a program that calls a recursive procedure. Inside this procedure, add 1 to a counter so you can verify the number of times it executes.  Put a number in a MIPS counter that specifies the number of times you want to allow the recursion to continue. You can use a LOOPinstruction (or other conditional statements using MIPS), find a way for therecursive procedure to call itself a fixed number of times.

Quick Sort We choose an element from the list, called the pivot. We'll use it to divide the list into two sub-lists. We reorder all the elements around the pivot The ones with smaller value are placed before it All the elements greater than the pivot after it. After this step, the pivot is in its final position. This is the important partition step. We apply the above steps recursively to both sub-lists on the left and right of the pivot.   Quick Sort (Example) Consider the following array Arr[] = {5, 9, 4, 6, 5, 3} Let's suppose we pick 5 as the pivot for simplicity We'll first put all elements less than 5 in the first position of the array: {3, 4, 5, 6, 5, 9} We'll then repeat it for the left sub-array {3,4}, taking 3 as the pivot There are no elements less than 3 We apply quicksort on the sub-array in the right of the pivot, i.e. {4} This sub-array consists of only one sorted element We continue with the right part of the original array, {6, 5, 9} until we get the final ordered…