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112 changes: 74 additions & 38 deletions data_structures/sortings/MergeSort.java
Original file line number Diff line number Diff line change
@@ -1,41 +1,77 @@
package data_structures.sortings;
/* Merge Sort Iterative Implementation In C++

public class MergeSort
complexity : O(n)

*/
#include<bits/stdc++.h>
using namespace std;
#define M 10
void input(int *a)
{
cout<<"\nArray : ";
for(int i=0;i<M;i++)
cin >> a[i];
}
void merge(int *a)
{
/*
* - Complexity O(n log n)
* - Stable sort algorithm
* - Can be used to compute inversion index
*/
static final int INF = Integer.MAX_VALUE;

static void mergeSort(int[] a, int b, int e)
{
if(b < e)
{
int q = (b + e) / 2;
mergeSort(a, b, q);
mergeSort(a, q + 1, e);
merge(a, b, q, e);
}
}


static void merge(int[] a, int b, int mid, int e)
int tmp[M],i,j,k,size=1;
int l1,u1,l2,u2;
while(size<M)
{
int n1 = mid - b + 1;
int n2 = e - mid;
int[] L = new int[n1+1], R = new int[n2+1];

for(int i = 0; i < n1; i++) L[i] = a[b + i];
for(int i = 0; i < n2; i++) R[i] = a[mid + 1 + i];
L[n1] = R[n2] = INF;

for(int k = b, i = 0, j = 0; k <= e; k++)
if(L[i] <= R[j])
a[k] = L[i++];
else
a[k] = R[j++];
}

}
k=0;
l1=0;
while(l1+size<M)
{
l2=l1+size;
u1=l2-1;
if(l2+size<M)
u2=l2+size-1;
else
u2=M-1;

//Comparisions
for(i=l1,j=l2;i<=u1&&j<=u2;k++)
{
if(a[i]<a[j])
tmp[k]=a[i++];
else
tmp[k]=a[j++];
}

//Remaining Elements
for(;i<=u1;i++)
tmp[k++]=a[i];
for(;j<=u2;j++)
tmp[k++]=a[j];

l1=u2+1;

}
for(int i=l1;i<M;i++)
tmp[k++]=a[i];
for(int i=0;i<M;i++)
a[i]=tmp[i];

//doubling Size
size*=2;

}
}
void display(int *a)
{
cout<<"\nArray : ";
for(int i=0;i<M;i++)
cout<<a[i]<<' ';
}
int main()
{
//Sample size M = 10
//Array of size 10
int x[M];
input(x);
cout<<"\nBefore sorting : ";
display(x);
cout<<"\nAfter sorting : ";
merge(x);
display(x);
}