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inversions.cpp
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94 lines (87 loc) · 2.44 KB
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#include <iostream>
#include <string.h>
#include <algorithm>
#include <vector>
#include <math.h>
#include <iomanip>
#include <stack>
#include <set>
typedef long long ll;
typedef unsigned long long ull;
#define all(v) v.begin(), v.rend()
#define rall(v) v.rbegin(), v.rend()
using namespace std;
int partition_(vector<int> &vec, int l, int r){
int m = vec[(l + r)/2];
int i = l;
int j = r;
while(i <= j){
while(vec[i] < m) i++;
while(vec[j] > m) j--;
if(i >= j) break;
swap(vec[i++], vec[j--]);
}
return j;
}
void quickSort(vector<int> &a, int l, int r){
if(l < r){
int q = partition_(a, l, r);
quickSort(a, l, q);
quickSort(a, q + 1, r);
}
}
void mergeSort(vector<int> &vec, int l, int r, ll &cnt) {
if (l == r)
return;
int m = (l + r) / 2;
// cout << l << " * " << r << endl;
mergeSort(vec, l, m, cnt);
mergeSort(vec, m + 1, r, cnt);
vector<int> new_vec;
for (int i = l, j = m + 1; i <= m || j <= r;) {
if (i > m) {
new_vec.push_back(vec[j++]);
}
else if (j > r) {
new_vec.push_back(vec[i++]);
}
else if (vec[i] <= vec[j]) {
new_vec.push_back(vec[i++]);
}
else {
new_vec.push_back(vec[j++]);
cnt += m - i + 1;
}
}
//cout << l << " === " << r << endl;
//cout << cnt << endl << endl;
for (int i = 0; i < new_vec.size(); i++)
vec[l + i] = new_vec[i];
}
void file_cin(){
freopen("inversions.in", "r", stdin);
freopen("inversions.out", "w", stdout);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
file_cin();
int n;
cin >> n;
vector<int> vec(n);
int mx = 0;
for(int i = 0; i < n; i++){
cin >> vec[i];
}
ll cnt = 0;
mergeSort(vec, 0, (int)vec.size() - 1, cnt);
cout << cnt << endl;
}
/* ans = 1 + 1 + /////// + 2
* 10
* 1 8 2 1 4 7 3 2 3 6
* [1] [8] [2] [1] [4] [7] [3] [2] [3] [6]
* [1 8] / [2] / [1 4] /////// [&3 &7] / [2] / [3 6]
* [1 &2 &8] / [1 4] //////// [2 3 7]
*/