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#### Concept explainers

### Explanation of Solution

**Modified Recursive binary search algorithm:**

The modified recursive binary search method is given below:

//Define the binarySearch() method

public static int binarySearch(int[ ] data, int target, int low, int high)

{

//Check "low" is greater than "high"

if (low > high)

//Return the -1

return −1;

//Execute the else part

else

{

/*Add "low" and "high" and the result is divided by 2 and then store the result element to "mid". */

int mid = (low + high) / 2;

//Check "target" is equal to "data[mid]"

if (target == data[mid])

//Return the index of search element

return mid;

//Execute the else part

else if (target < data[mid])

//Call the binarySearch() method

return binarySearch(data, target, low, mid − 1);

//Execute the else part

;&#x...

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# Chapter 5 Solutions

Data Structures and Algorithms in Java

- Given the following non-recursive implementation of depth-first search: A. Complete the implementation of depth-first search by filling in the TODO sections with the appropriate C++ code. Remember to: Print out each node you visit. Visit each node exactly once.
*arrow_forward*One-friend recursion vs iteration.1. Your task is to accept a tuple a1, a2, ... , an and return the reversed tuple an, an−1, ... , a1. Being lazy, you will only strip off an element from one end or add an element back onto one end. But you have recursive friends to help you. Provide both a paragraph containing the friend’s explanation of the algorithm, and the recursive code.2. Now suppose that you have a stack, but no friends. (See Chapter 3). Quickly sketch an iterative program that solves this same problem. Be sure to include loop invariants and other the key steps required for describing an iterative algorithm.3. Trace each of these two programs. Step by step, compare and contrast their computations on a computer. i already uploaded this question 3 times and getting wrong answer so if you don't know right answer dont write rubbih ans otherwise you will get downvote*arrow_forward*One-friend recursion vs iteration.1. Your task is to accept a tuple a1, a2, ... , an and return the reversed tuple an, an−1, ... , a1. Being lazy, you will only strip off an element from one end or add an element back onto one end. But you have recursive friends to help you. Provide both a paragraph containing the friend’s explanation of the algorithm, and the recursive code.2. Now suppose that you have a stack, but no friends. (See Chapter 3). Quickly sketch an iterative program that solves this same problem. Be sure to include loop invariants and other the key steps required for describing an iterative algorithm.3. Trace each of these two programs. Step by step, compare and contrast their computations on a computer. i already uploaded this question 3 times and getting wrong answer so if you don't know right answer dont write rubbih ans otherwise you will get downvote don't copy bartleby old or chegg its wrong*arrow_forward* - Write code to modify the recursive sort also to do the closest-point computation when pass is 2?
*arrow_forward*Describe not just what the stopping condition for the recursive binary search is but also why it is essential for recursive algorithms to always have a stopping condition.*arrow_forward*Write a recursive binary search procedure SEARCH (a, f, k) which looks for the element a at locations f, f+ 1, f+2,... k of an array A withn elements in set S*arrow_forward* - Give a recursive algorithm for the sequential search and explain its running time.
*arrow_forward*g1 = 5 g2 = 6 for k in range(3,8): gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?*arrow_forward*There is an error in the following recursive method, which implements a binary search. Find the error and indicate how to fix the code so that the method will work correctly.*arrow_forward* - Explain the halting condition for the recursive binary search and why all recursive algorithms need one.
*arrow_forward*One-friend recursion vs iteration.1. Your task is to accept a tuple a1, a2, ... , an and return the reversed tuplean, an−1, ... , a1. Being lazy, you will only strip off an element from one end oradd an element back onto one end. But you have recursive friends to help you.Provide both a paragraph containing the friend’s explanation of the algorithm,and the recursive code.2. Now suppose that you have a stack, but no friends. (See Chapter 3). Quickly sketchan iterative program that solves this same problem. Be sure to include loop invariants and other the key steps required for describing an iterative algorithm.3. Trace each of these two programs. Step by step, compare and contrast their computations on a computer.*arrow_forward*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! public class BinaryExplorer { public static void main(String[] args) {int[] testArray = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; binaryRec(testArray, 8, 0, testArray.length - 1); } /*** Add Print statements to the binaryRec method:* * Print Starting, ending, and midpoint values.* * Print when you find a match* * Print if you are…*arrow_forward*

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