public static int[] mergeArr ( int nums1[], int m, int nums2[], int n) { int i - 0,j int arr[] 0,k - 0; - new int[m+n]; //create a new array for merging while (i < m && j < n) { //if the current term in in first array is less than 2nd if ( nums1[i] <- nums2[j]) { arr[k++] - nums1[i++]; //add next term in nums1 to acc } else { arr[k++] - nums2[j++]; //add next term in nums2 to acc while (i < m ) { arr[k++] } while ( j

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
Problem 1PE
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The code in the picture takes two sorted arrays of sizes m and n, then it merges and sorts them. Whats the best-case and worst-case for this alogrithm?

 

```java
/**
 * This method handles joining and sorting two arrays
 * @param nums1 - first array
 * @param m - size of first array
 * @param nums2 - 2nd array
 * @param n - size of 2nd array
 * @return
 */
public static int[] mergeArr(int nums1[], int m, int nums2[], int n)
{
    int i = 0, j = 0, k = 0;
    int arr[] = new int[m + n]; // create a new array for merging

    while (i < m && j < n)
    {
        // if the current term in first array is less than 2nd
        if (nums1[i] <= nums2[j])
        {
            arr[k++] = nums1[i++]; // add next term in nums1 to arr
        }
        else
        {
            arr[k++] = nums2[j++]; // add next term in nums2 to arr
        }
    }
    
    while (i < m)
    {
        arr[k++] = nums1[i++];
    }
    while (j < n)
    {
        arr[k++] = nums2[j++];
    }
    return arr;
} // end mergeArr
```

**Explanation:**

This code snippet is a Java method for merging and sorting two integer arrays. Here's a breakdown of its components:

- **Function Definition:**
  - `public static int[] mergeArr(int nums1[], int m, int nums2[], int n)`: This defines a public static method named `mergeArr` that takes two integer arrays (`nums1` and `nums2`) along with their respective sizes (`m` and `n`). It returns a sorted array combining both input arrays.

- **Parameters:**
  - `nums1[]`: First array to be merged.
  - `m`: Size of the first array.
  - `nums2[]`: Second array to be merged.
  - `n`: Size of the second array.

- **Local Variables:**
  - `int i = 0, j = 0, k = 0;`: These are indices for iterating over `nums1`, `nums2`, and the result array `arr`.
  - `int arr[] = new int[m + n];`: This array is used to store the merged result.

- **Merging Logic:**
Transcribed Image Text:```java /** * This method handles joining and sorting two arrays * @param nums1 - first array * @param m - size of first array * @param nums2 - 2nd array * @param n - size of 2nd array * @return */ public static int[] mergeArr(int nums1[], int m, int nums2[], int n) { int i = 0, j = 0, k = 0; int arr[] = new int[m + n]; // create a new array for merging while (i < m && j < n) { // if the current term in first array is less than 2nd if (nums1[i] <= nums2[j]) { arr[k++] = nums1[i++]; // add next term in nums1 to arr } else { arr[k++] = nums2[j++]; // add next term in nums2 to arr } } while (i < m) { arr[k++] = nums1[i++]; } while (j < n) { arr[k++] = nums2[j++]; } return arr; } // end mergeArr ``` **Explanation:** This code snippet is a Java method for merging and sorting two integer arrays. Here's a breakdown of its components: - **Function Definition:** - `public static int[] mergeArr(int nums1[], int m, int nums2[], int n)`: This defines a public static method named `mergeArr` that takes two integer arrays (`nums1` and `nums2`) along with their respective sizes (`m` and `n`). It returns a sorted array combining both input arrays. - **Parameters:** - `nums1[]`: First array to be merged. - `m`: Size of the first array. - `nums2[]`: Second array to be merged. - `n`: Size of the second array. - **Local Variables:** - `int i = 0, j = 0, k = 0;`: These are indices for iterating over `nums1`, `nums2`, and the result array `arr`. - `int arr[] = new int[m + n];`: This array is used to store the merged result. - **Merging Logic:**
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