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 "rect.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const ll INF = 1e18 + 69;
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
int n; cin >> n;
vector<pair<int, int>> point(n * 2);
for(int i = 0; i<n*2; ++i) cin >> point[i].first >> point[i].second;
ll ans = 0;
for(pair<int, int> &i: point){
pair<int, int> cur = i;
maximize(cur.first, 1); maximize(cur.second, 1);
minimize(cur.first, n); minimize(cur.second, 2);
ans += abs(i.first - cur.first) + abs(i.second - cur.second);
i = cur;
}
int cnt[n][2];
memset(cnt, 0, sizeof cnt);
for(pair<int, int> i: point)
cnt[i.first-1][i.second-1]++;
int k = 0;
for(int i = 0; i<n; ++i){
k += cnt[i][0] + cnt[i][1];
ans += abs((i + 1) * 2 - k);
}
int leak[2]; memset(leak, 0, sizeof leak);
for(int i = 0; i<n; ++i){
for(int j = 0; j <= 1; ++j) leak[j] += cnt[i][j];
while(leak[0] < i + 1 && leak[1] > i + 1){
leak[0]++;
leak[1]--;
ans++;
}
while(leak[1] < i + 1 && leak[0] > i + 1){
leak[1]++;
leak[0]--;
ans++;
}
}
cout << ans << "\n";
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
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