This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("unroll-loops,Ofast,O3")
#pragma GCC target("avx,avx2,fma")
#define F first
#define S second
#define sz(x) (int)x.size()
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define NFS ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0) ;
#define file(s) if (fopen(s".in", "r")) freopen(s".in", "r", stdin), freopen(s".out", "w", stdout)
typedef long long ll;
const int E = 1e6+777;
const long long inf = 1e18+777;
const int N = 1e5+777;
const int MOD = 1e9+7;
int n;
pair<int,int> edge[N];
priority_queue<tuple<long long,int,int>> pq;
int dist(int x1, int y1, int x2, int y2){
return abs(x1 - x2) + abs(y1 - y2);
}
bool used1[N], used2[N];
int main(){
cin >> n;
for(int i = 1, x, y; i <= 2 * n; ++i){
cin >> x >> y;
edge[i] = {x, y};
}
for(int k = 1; k <= 2 * n; ++k){
int pos = 0;
for(int i = 1; i <= n; ++i){
for(int j = 1; j <= 2; ++j){
++pos;
pq.push({-dist(edge[k].F,edge[k].S,i,j),k,pos});
}
}
}
long long res = 0;
while(!pq.empty()){
auto[d, pos, pos2] = pq.top();
pq.pop();
if(!used1[pos] && !used2[pos2]){
// cerr << "dist: " << d << " {"<< pos <<"} - " << "{"<<pos2<<"}\n";
res += -d;
used1[pos] = true;
used2[pos2] = true;
}
}
cout << res;
}
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