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 <iostream>
#include <iomanip>
#include <algorithm>
#include <numeric>
#include <cmath>
#include <cassert>
#include <ctime>
#include <chrono>
#include <cstdio>
#include <random>
#include <vector>
#include <string>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <deque>
#include <queue>
#include <bitset>
#include <list>
#include <fstream>
#include <functional>
#include <complex>
using namespace std;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());
const int INF = 1e9, MOD = 1e9 + 7, MOD2 = 998244353, LOG = 18;
const long double EPS = 1e-9, PI = acos(-1);
void solve()
{
long long n;
vector<pair<long long, long long>> v;
cin >> n;
v.resize(n * 2);
for (long long i = 0; i < n * 2; i++)
{
cin >> v[i].first >> v[i].second;
}
long long ans = 0;
for (long long i = 0; i < n * 2; i++)
{
if (v[i].second >= 2)
{
ans += v[i].second - 2;
v[i].second = 2;
}
else
{
ans += 1 - v[i].second;
v[i].second = 1;
}
if (v[i].first >= n)
{
ans += v[i].first - n;
v[i].first = n;
}
else if (v[i].first <= 1)
{
ans += 1 - v[i].first;
v[i].first = 1;
}
}
vector<vector<long long>> a(2, vector<long long>(n)), b = a;
for (long long i = 0; i < n * 2; i++)
{
v[i].first--; v[i].second--;
a[1 - v[i].second][v[i].first]++;
}
for (long long i = 0; i < 2; i++)
{
for (long long j = 0; j < n; j++)
{
if (!a[i][j])
{
b[i][j] = 1;
}
else
{
a[i][j]--;
}
}
}
vector<long long> up, down;
bool toa = false;
for (long long i = 0; i < n; i++)
{
while (a[0][i] && b[1][i])
{
a[0][i]--;
b[1][i]--;
ans++;
}
while (a[1][i] && b[0][i])
{
a[1][i]--;
b[0][i]--;
ans++;
}
if (toa)
{
while (b[0][i] && up.size())
{
ans += i - up.back();
up.pop_back();
b[0][i]--;
}
while (b[1][i] && down.size())
{
ans += i - down.back();
down.pop_back();
b[1][i]--;
}
while (b[1][i] && up.size())
{
ans += i - up.back() + 1;
up.pop_back();
b[1][i]--;
}
while (b[0][i] && down.size())
{
ans += i - down.back() + 1;
down.pop_back();
b[0][i]--;
}
}
else
{
while (a[0][i] && up.size())
{
ans += i - up.back();
up.pop_back();
a[0][i]--;
}
while (a[1][i] && down.size())
{
ans += i - down.back();
down.pop_back();
a[1][i]--;
}
while (a[1][i] && up.size())
{
ans += i - up.back() + 1;
up.pop_back();
a[1][i]--;
}
while (a[0][i] && down.size())
{
ans += i - down.back() + 1;
down.pop_back();
a[0][i]--;
}
}
while (a[0][i])
{
up.push_back(i);
toa = true;
a[0][i]--;
}
while (a[1][i])
{
down.push_back(i);
toa = true;
a[1][i]--;
}
while (b[0][i])
{
up.push_back(i);
toa = false;
b[0][i]--;
}
while (b[1][i])
{
down.push_back(i);
toa = false;
b[1][i]--;
}
}
cout << ans << "\n";
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
srand(time(NULL));
int tst = 1;
//cin >> tst;
while (tst--)
{
solve();
}
return 0;
}
/*
<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠚⢉⣩⣭⡭⠛⠓⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠃⢀⡴⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀
⠀⠀⠀⠀⡾⠁⣠⠋⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀
⠀⠀⠀⣸⠁⢰⠃⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀
⠀⠀⠀⡇⠀⡾⡀⠀⠀⠀⠀⣀⣹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀
⠀⠀⢸⠃⢀⣇⡈⠀⠀⠀⠀⠀⠀⢀⡑⢄⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⢸⠀⢻⡟⡻⢶⡆⠀⠀⠀⠀⡼⠟⡳⢿⣦⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⣸⠀⢸⠃⡇⢀⠇⠀⠀⠀⠀⠀⡼⠀⠀⠈⣿⡗⠂⠀⠀⠀⠀⠀⠀⠀⢸⠁
⠀⠀⡏⠀⣼⠀⢳⠊⠀⠀⠀⠀⠀⠀⠱⣀⣀⠔⣸⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀
⠀⠀⡇⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀
⠀⢸⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢀⠀⠀⠀⠀⠀⣾⠀⠀
⠀⣸⠀⠀⠹⡄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠸⠀⠀⠀⠀⠀⡇⠀⠀
⠀⡏⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⡇⠀⠀⢰⡀⠀⠀⠀⠀⠀⡇⠀⠀
⢰⠇⡄⠀⠀⠀⡿⢣⣀⣀⣀⡤⠴⡞⠉⠀⢸⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣧⠀⠀
⣸⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢹⠀⠀⢸⠀⠀⢀⣿⠇⠀⠀⠀⠁⠀⢸⠀⠀
⣿⠀⡇⠀⠀⠀⠀⠀⢀⡤⠤⠶⠶⠾⠤⠄⢸⠀⡀⠸⣿⣀⠀⠀⠀⠀⠀⠈⣇⠀
⡇⠀⡇⠀⠀⡀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠸⡌⣵⡀⢳⡇⠀⠀⠀⠀⠀⠀⢹⡀
⡇⠀⠇⠀⠀⡇⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⢧⣀⣻⢂⠀⠀⠀⠀⠀⠀⢧
⣇⠀⢠⠀⠀⢳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⣆⠀⠀⠀⠀⠀⠘
⢻⠀⠈⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠘⢮⣧⡀⠀⠀⠀⠀
⠸⡆⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⢢⡀
<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
*/
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