b. Problem 2. Again, create an array of 30 random numbers that range between 1 and 100. And again, write a function that will receive a number from the user and determine if that number exists in the array or not. Approach: This time, implement a method called findB(x,A), where x is the number we are looking for and A is an array. In the body of the function, compare x with the MIDDLE item that is in the array. If this item is equal to X, return true. If not, divide A into TWO lists as follows: Call the middle of index of the array mid. Place items at indices mid+1 to A.length-1 in one array and call it A1. Place items at indices 0 to mid (excluding mid) in an array called A2. Then, recursively call findB(x,Al) and findB(x,A2). If you call find on an empty list, you will want to return false. Writing any explicit loop in your code results a 0 for this question. Remember to provide pre- and post-conditions. How many recursive calls will you need to search the entire list? Do you think this implementation will run more quickly than your first implementation? Why or why not? How might you limit the number of recursive calls in your implementation? Now copy the trace table on the next page in your Word file and trace your function findB(x,A) for when A and x are initially [1, 6, 10, 14, 77, 82, 100] and 77, respectively. As a guideline, we have populated the tables with the values for the first 2 calls and the corresponding returned values for each of those calls. Again remember that, the call numbers will be populated top down (i.e. time elapses from row x to row x+1) while returned values are populated bottom-up (i.e. the value in row x is returned before the value in rowx-1). You may want to use console.log to observe these values when you write your solution. call# x A 1 77 [1, 6, 10, 14, 77, 82, 100] 2 77 [77, 82, 100] value returned to this call TRUE TRUE