Recursion We have learned the binary search algorithm this semester, but we implement binary search using a while loop. In this exercise, we are going to see binary search implemented by recursion and trace the recursion. Tracing the Recursion. Observe the recursive solution provided below and answer the following questions: 1. Which line(s) of this program define(s) the base case of the binary() method? 2. Which line(s) of this program include recursive call(s)? 3. Trace the recursion below. You must show the tracing step by step (write them down); otherwise – little to no credit! 4. At what step of your recursion tracing did you hit the base case? 5. What is the final output of this code?
Recursion We have learned the binary search algorithm this semester, but we implement binary search using a while loop. In this exercise, we are going to see binary search implemented by recursion and trace the recursion. Tracing the Recursion. Observe the recursive solution provided below and answer the following questions: 1. Which line(s) of this program define(s) the base case of the binary() method? 2. Which line(s) of this program include recursive call(s)? 3. Trace the recursion below. You must show the tracing step by step (write them down); otherwise – little to no credit! 4. At what step of your recursion tracing did you hit the base case? 5. What is the final output of this code?
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Question
Recursion
We have learned the binary search algorithm this semester, but we implement
binary search using a while loop. In this exercise, we are going to see binary
search implemented by recursion and trace the recursion.
Tracing the Recursion. Observe the recursive solution provided below and answer the following
questions:
1. Which line(s) of this program define(s) the base case of the binary() method?
2. Which line(s) of this program include recursive call(s)?
3. Trace the recursion below. You must show the tracing step by step (write them
down); otherwise – little to no credit!
4. At what step of your recursion tracing did you hit the base case?
5. What is the final output of this code?
We have learned the binary search algorithm this semester, but we implement
binary search using a while loop. In this exercise, we are going to see binary
search implemented by recursion and trace the recursion.
Tracing the Recursion. Observe the recursive solution provided below and answer the following
questions:
1. Which line(s) of this program define(s) the base case of the binary() method?
2. Which line(s) of this program include recursive call(s)?
3. Trace the recursion below. You must show the tracing step by step (write them
down); otherwise – little to no credit!
4. At what step of your recursion tracing did you hit the base case?
5. What is the final output of this code?
![1 public class binarySearch {
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176
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26}
}
int mid (left + right) / 2;
if (arr [mid] == target) {
public static int binary(int[] arr, int target, int left, int right) {
if (left right) {
return -1;
return mid;
} else if (arr[mid] > target) {
return binary(arr, target, left, mid - 1);
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} else {
return binary(arr, target, mid + 1, right);
}
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}
public static void main(String[] args) {
int[] arr= {1, 2, 3, 4, 5, 6, 7);
int target = 2;
System.out.println (binary(arr, target, 0, arr.length - 1));
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Transcribed Image Text:1 public class binarySearch {
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176
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26}
}
int mid (left + right) / 2;
if (arr [mid] == target) {
public static int binary(int[] arr, int target, int left, int right) {
if (left right) {
return -1;
return mid;
} else if (arr[mid] > target) {
return binary(arr, target, left, mid - 1);
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} else {
return binary(arr, target, mid + 1, right);
}
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}
public static void main(String[] args) {
int[] arr= {1, 2, 3, 4, 5, 6, 7);
int target = 2;
System.out.println (binary(arr, target, 0, arr.length - 1));
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