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Program: Implement merge sort in java.
Merge sort is a divide and conquer algorithm.
Steps to implement Merge Sort:
1) Divide the unsorted array into n partitions, each partition contains 1 element. Here the one element is considered as
sorted.
2) Repeatedly merge partitioned units to produce new sublists until there is only 1 sublist remaining. This will be the
sorted list at the end.
Merge sort is a fast, stable sorting routine with guaranteed O(n*log(n)) efficiency. When sorting arrays,
merge sort requires additional scratch space proportional to the size of the input array. Merge sort is relatively simple
to code and offers performance typically only slightly below that of quicksort.
package com.java2novice.sorting;
public class MyMergeSort {
private int[] array;
private int[] tempMergArr;
private int length;
public static void main(String a[]){
int[] inputArr = {45,23,11,89,77,98,4,28,65,43};
MyMergeSort mms = new MyMergeSort();
mms.sort(inputArr);
for(int i:inputArr){
System.out.print(i);
System.out.print(" ");
}
}
public void sort(int inputArr[]) {
this.array = inputArr;
this.length = inputArr.length;
this.tempMergArr = new int[length];
doMergeSort(0, length - 1);
}
private void doMergeSort(int lowerIndex, int higherIndex) {
if (lowerIndex < higherIndex) {
int middle = lowerIndex + (higherIndex - lowerIndex) / 2;
// Below step sorts the left side of the array
doMergeSort(lowerIndex, middle);
// Below step sorts the right side of the array
doMergeSort(middle + 1, higherIndex);
// Now merge both sides
mergeParts(lowerIndex, middle, higherIndex);
}
}
private void mergeParts(int lowerIndex, int middle, int higherIndex) {
for (int i = lowerIndex; i <= higherIndex; i++) {
tempMergArr[i] = array[i];
}
int i = lowerIndex;
int j = middle + 1;
int k = lowerIndex;
while (i <= middle && j <= higherIndex) {
if (tempMergArr[i] <= tempMergArr[j]) {
array[k] = tempMergArr[i];
i++;
} else {
array[k] = tempMergArr[j];
j++;
}
k++;
}
while (i <= middle) {
array[k] = tempMergArr[i];
k++;
i++;
}
}
}
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| Output: |
4 11 23 28 43 45 65 77 89 98
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Java Sorting Algorithms Examples
- Implement bubble sort in java.
- Implement selection sort in java.
- Implement insertion sort in java.
- Implement quick sort in java.
- Implement merge sort in java.
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When to use LinkedList or ArrayList?
Accessing elements are faster with ArrayList, because it is index based.
But accessing is difficult with LinkedList. It is slow access. This is
to access any element, you need to navigate through the elements one by
one. But insertion and deletion is much faster with LinkedList, because
if you know the node, just change the pointers before or after nodes.
Insertion and deletion is slow with ArrayList, this is because, during
these operations ArrayList need to adjust the indexes according to
deletion or insetion if you are performing on middle indexes. Means,
an ArrayList having 10 elements, if you are inserting at index 5, then
you need to shift the indexes above 5 to one more.
It’s not that I’m so smart, it’s just that I stay with problems longer.
-- Albert Einstein
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