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Monday 28 September 2015

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

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.kundan;

public class MergeSort {
 
 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};
  MergeSort ms = new MergeSort();
  ms.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++;
  }

 }
}

Output:
4 11 23 28 43 45 65 77 89 98 

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