Use Binary Search, Recursive (Algorithm 2.1) to search for the integer 120 in the following list (array) of integers. Show the actions (execution) step by step. No code needed. Solution: 12 34 37 45 57 82 99 120 134 1. Compute the middle index from initial low (1) and high (9) indices: mid = Continue... A

(a) Write a method public static void insert(int[] a, int n, int x) that inserts x in order among the first n elements of a, assuming these elements are arranged in ascending order. Do NOT use arraylists. x is the last element in a. n does not include x. (b) Using the insert method from Part (a), write a recursive implementation of Insertion Sort.

Using recursion, write a Python function def before(k,A) which takes an integer k and an array A of integers as inputs and returns a new array consisting of all the integers in A which come before the last occurrence of k in A, in the same order they are in A. For example, if A is [1,2,3,6,7,2,3,4] then before(3,A) will return [1,2,3,6,7,2]. If k does not occur in A, the function should return None.

A set SS of strings of characters is defined recursively by aa and bb belong to SS . If xx belongs to SS , so does xbxb . Which one of the following strings belong to SS ? this is the Group of answer choices 1. aba 2. bbbbb 3. ab 4. aaab 5. a

Please help with this question. Your assistance is greatly appreciated.

The recursive algorithm below takes as input an array A of distinct integers, indexed between s andf, and an integer k. The algorithm returns the index of the integer k in the array A, or ?1 if the integerk is not contained within A. Complete the missing portion of the algorithm in such a way that you makethree recursive calls to subarrays of approximately one third the size of A.• Write and justify a recurrence for the runtime T(n) of the above algorithm.• Use the recursion tree to show that the algorithm runs in time O(n).FindK(A,s,f,k)if s < fif f = s + 1if k = A[s] return sif k = A[f] return felseq1 = b(2s + f)=3cq2 = b(q1 + 1 + f)=2c... to be continued.else... to be continued.

The language is in Racket. Please answer the question in the screenshot.

Exercise 1 Given the following recursive version of selection sort:public void recursiveSelectionSort(int a[], int n, int index){if (index == n)return;int k = minIndex(a, index, n-1);if (k != index)swap(a, k, index);recursiveSelectionSort(a, n, index + 1);}minIndex is a separate function that finds the smallest value in the given array "a" from"index" to "n-1" index values.swap is a separate function that swaps elements in the given array "a" between theelements at index "k" and "index" respectively.Assuming these 2 functions work as expected, there may be an error with therecursiveSelectionSort code. Answer the following:1) Design your own set of 8 unsorted integers in an array2) Determine what the given code will produce with your array by describing what thearray looks like with each recursive instance of recursiveSelectionSort3) If the code does have an error, describe the error, where it is, and how you would fixitFor example, if you said your array was [4 2 3 1 5 6 7 8], then...

Please show and explain so I can nderstand.

Consider the following recurrence: T(1)=1; T(n) = 2.T()+n, for n> 1, n a power of 3. =..... Find T(27) by substitution, starting with n = 1, n = 65 2 169 29 15 6

Using recursion, segregate an array of integers to have the even integers come before the odd using C++

solve by hand do not use code

Please answer completely will give rating surely Both questions answers needed