Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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  1. Create a program named MergeSort.java then copy the following code to your program:

 

  1. Write a main method that accepts three numbers N, A, B (assume A<B) from the command argument list, then use the number N to create an N-element int array.

public static void mergeSort(int[] arr){
mergeSortRec(arr, 0, arr.length-1);
}
private static void mergeSortRec(int[] arr, int first, int last){
if(first<last){
int mid=(first+last)/2;
mergeSortRec(arr, first, mid);
mergeSortRec(arr, mid+1,last);
merge(arr, first, mid, mid+1, last);
}
}
private static void merge(int[] arr, int leftFirst,
int leftLast, int rightFirst, int rightLast){
int[] aux=new int[arr.length];
//extra space, this is downside of this algorithm
int index=leftFirst;
int saveFirst=leftFirst;
while(leftFirst<=leftLast && rightFirst <=rightLast){
if(arr[leftFirst]<=arr[rightFirst]){
aux[index++]=arr[leftFirst++];
}else{
aux[index++]=arr[rightFirst++];
}
}
while(leftFirst<=leftLast){
aux[index++]=arr[leftFirst++];
}
while(rightFirst<=rightLast)
aux[index++]=arr[rightFirst++];
for(index=saveFirst; index<=rightLast; index++)
arr[index]=aux[index];
}

  1. Assign random numbers between [A,  B] to each of the N elements of the array.
  2. Call mergeSort method to sort the array.
  3. Write instructions to record the time spent on sorting.
  4. (Optional) you may write code to verify the array was sorted successfully.
  5. Once completed, test your program with different numbers N, A, B and screenshot your result. Your result should include the number of elements and sorting time.
  6. Please include the following in the Word document you created for the assignment for the final submission:  
    • Copy/paste your completed code in MergeSort.java
    • Insert at least one screenshot of the running output in #7 above
    • Answer this question: What is the average Big O for this sort?
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