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countingInversions.cpp
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94 lines (86 loc) · 2.04 KB
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#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <string>
#include <bitset>
#include <cstdio>
#include <limits>
#include <vector>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <fstream>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <unordered_map>
using namespace std;
long long merge(vector<int> & arr, vector<int> & temp,int left, int mid, int right){
int i, j,k;
i = left;
k = left;
j = mid;
long long inversions = 0;
while(i <= mid-1 && j <= right){
if(arr.at(i) > arr.at(j)){
temp[k++] = arr[j++];
inversions = inversions + (mid-i);
}
else{
temp[k++] = arr[i++];
}
}
while(i<= mid-1){
temp[k++] = arr[i++];
}
while(j<= right){
temp[k++] = arr[j++];
}
for(int i = left; i <= right; i++){
arr[i] = temp[i];
}
return inversions;
}
long long mergesort (vector<int> & arr, vector<int> & temp, int left, int right){
long long inversions = 0;
if(right > left){
int middle = (left + right)/2;
inversions = mergesort(arr, temp, left, middle);
inversions += mergesort(arr, temp, middle +1, right);
inversions += merge(arr,temp, left, middle +1, right);
}
return inversions;
}
long long count_inversions(vector<int> a) {
vector<int> temp(a.size());
bool condition = true;
for(int i = 0; i < a.size()-1; i++){
if(a.at(i) > a.at(i+1)){
condition = false;
break;
}
}
if(condition){return 0;}
long long inversions = mergesort(a,temp, 0, a.size()-1 );
return inversions;
}
int main(){
int t;
cin >> t;
for(int a0 = 0; a0 < t; a0++){
int n;
cin >> n;
vector<int> arr(n);
for(int arr_i = 0;arr_i < n;arr_i++){
cin >> arr[arr_i];
}
cout << count_inversions(arr) << endl;
}
return 0;
}