Write the Java code for the merge part of the merge sort.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Transcribed Text for Educational Website:**

"Write the Java code for the merge part of the merge sort."

---

**Additional Explanation:**

Merge sort is a popular sorting algorithm that uses the divide-and-conquer approach. It works by dividing the unsorted list into smaller sublists until each sublist contains a single element, which is inherently sorted. Then, it merges the sublists to produce new sorted sublists until there is only one sorted list remaining. The merge step is crucial as it combines two sorted arrays into one larger sorted array.

Here is a simple example of how the merge function in merge sort might be implemented in Java:

```java
void merge(int[] arr, int left, int mid, int right) {
    int n1 = mid - left + 1;
    int n2 = right - mid;

    int[] L = new int[n1];
    int[] R = new int[n2];

    for (int i = 0; i < n1; ++i)
        L[i] = arr[left + i];
    for (int j = 0; j < n2; ++j)
        R[j] = arr[mid + 1 + j];

    int i = 0, j = 0;
    int k = left;
    while (i < n1 && j < n2) {
        if (L[i] <= R[j]) {
            arr[k] = L[i];
            i++;
        } else {
            arr[k] = R[j];
            j++;
        }
        k++;
    }

    while (i < n1) {
        arr[k] = L[i];
        i++;
        k++;
    }

    while (j < n2) {
        arr[k] = R[j];
        j++;
        k++;
    }
}
```

This function takes an array `arr` and three integers: `left`, `mid`, and `right`, which define the segment of the array to be merged. It creates two temporary arrays for each half, merges them in order, and then writes the merged output back into the original array.
Transcribed Image Text:**Transcribed Text for Educational Website:** "Write the Java code for the merge part of the merge sort." --- **Additional Explanation:** Merge sort is a popular sorting algorithm that uses the divide-and-conquer approach. It works by dividing the unsorted list into smaller sublists until each sublist contains a single element, which is inherently sorted. Then, it merges the sublists to produce new sorted sublists until there is only one sorted list remaining. The merge step is crucial as it combines two sorted arrays into one larger sorted array. Here is a simple example of how the merge function in merge sort might be implemented in Java: ```java void merge(int[] arr, int left, int mid, int right) { int n1 = mid - left + 1; int n2 = right - mid; int[] L = new int[n1]; int[] R = new int[n2]; for (int i = 0; i < n1; ++i) L[i] = arr[left + i]; for (int j = 0; j < n2; ++j) R[j] = arr[mid + 1 + j]; int i = 0, j = 0; int k = left; while (i < n1 && j < n2) { if (L[i] <= R[j]) { arr[k] = L[i]; i++; } else { arr[k] = R[j]; j++; } k++; } while (i < n1) { arr[k] = L[i]; i++; k++; } while (j < n2) { arr[k] = R[j]; j++; k++; } } ``` This function takes an array `arr` and three integers: `left`, `mid`, and `right`, which define the segment of the array to be merged. It creates two temporary arrays for each half, merges them in order, and then writes the merged output back into the original array.
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