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12-Count_Inversion
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12-Count_Inversion
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#include <bits/stdc++.h>
long long merge(long long* arr, int start, int end)
{
int mid= start+(end-start)/2;
// Inversion
long long inv=0;
int len1=mid-start+1;
int len2=end-mid;
// Dynamic array
int* first = new int[len1];
int* second = new int[len2];
// Copy Values
int mainArrayIndex=start;
for(int i=0; i<len1; i++)
{
first[i]=arr[mainArrayIndex++];
}
mainArrayIndex=mid+1;
for(int i=0; i<len2; i++)
{
second[i]=arr[mainArrayIndex++];
}
// Merge 2 Sorted Array
int index1=0;
int index2=0;
mainArrayIndex=start;
while(index1<len1 && index2<len2)
{
if(first[index1]<second[index2])
{
arr[mainArrayIndex++]=first[index1++];
}
else
{
arr[mainArrayIndex++]=second[index2++];
inv += len1 - index1;
}
}
while(index1<len1)
{
arr[mainArrayIndex++]=first[index1++];
}
while(index2<len2)
{
arr[mainArrayIndex++]=second[index2++];
}
// Deleting dynammically created arrays
delete []first;
delete []second;
return inv;
}
long long mergeSort(long long *arr, int start, int end)
{
long long inv=0;
// Base Case
if(start>=end)
{
return inv;
}
int mid= start+(end-start)/2;
// Left Part sort Karna h
inv += mergeSort(arr, start, mid);
// Right Part Sort Karna h
inv += mergeSort(arr, mid+1, end);
// Merge Karna h
inv += merge(arr, start, end);
return inv;
}
long long getInversions(long long *arr, int n){
return mergeSort(arr, 0, n-1);
}