This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// In The Name Of God
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
//#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define f first
#define s second
#define pb push_back
#define pp pop_back
#define mp make_pair
#define sz(x) (int)x.size()
#define sqr(x) ((x) * 1ll * (x))
#define all(x) x.begin(), x.end()
#define rep(i, l, r) for (int i = (l); i <= (r); i++)
#define per(i, l, r) for (int i = (l); i >= (r); i--)
#define Kazakhstan ios_base :: sync_with_stdio(0), cin.tie(0), cout.tie(0);
#define nl '\n'
#define ioi exit(0);
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
const int N = (int)2e5 + 7;
const int inf = (int)1e9 + 7;
const int mod = (int)1e9 + 7;
const ll linf = (ll)1e18 + 7;
const int dx[] = {-1, 0, 1, 0, 1, -1, -1, 1};
const int dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
using namespace std;
int n;
pair <ll, ll> a[N << 1];
ll dst(pair <ll, ll> x, pair <ll, ll> y) {
return abs(x.f - y.f) + abs(x.s - y.s);
}
int cnt[N][3];
vector <int> em[3], fl[3];
ll calc(int v = 1) {
if (v > n) return 0;
ll res = 0;
rep(j, 1, 2) {
if (!cnt[v][j]) em[j].pb(v);
if (cnt[v][j] > 1) fl[j].pb(v);
}
rep(j, 1, 2) {
while (sz(em[j]) && cnt[v][j] > 1) {
int p = em[j].back();
if (!cnt[p][j]) {
cnt[v][j]--;
cnt[p][j]++;
res += v - p;
em[j].pp();
}
else em[j].pp();
}
}
rep(j, 1, 2) {
if (!cnt[v][j]) {
while (sz(fl[j])) {
int p = fl[j].back();
if (cnt[p][j] > 1) {
res += v - p;
cnt[p][j]--;
cnt[v][j]++;
if (cnt[p][j] == 1) fl[j].pp();
break;
}
else fl[j].pp();
}
}
}
rep(j, 1, 2) {
if (!cnt[v][j]) {
while (sz(fl[3 - j])) {
int p = fl[3 - j].back();
if (cnt[p][3 - j] > 1) {
res += v - p + 1;
cnt[p][3 - j]--;
cnt[v][j]++;
if (cnt[p][3 - j] == 1) fl[3 - j].pp();
break;
}
else fl[3 - j].pp();
}
}
}
rep(j, 1, 2) {
while (sz(em[3 - j]) && cnt[v][j] > 1) {
int p = em[3 - j].back();
if (!cnt[p][3 - j]) {
cnt[v][j]--;
cnt[p][3 - j]++;
res += v - p + 1;
em[3 - j].pp();
}
else em[3 - j].pp();
}
}
return res + calc(v + 1);
}
int main() {
#ifdef IOI
freopen ("in.txt", "r", stdin);
freopen ("D.out", "w", stdout);
#endif
Kazakhstan
cin >> n;
rep(i, 1, n << 1) {
cin >> a[i].f >> a[i].s;
}
ll ans = 0;
vector < pair <int, int > > to;
to.pb({1, 1});
to.pb({1, 2});
to.pb({n, 1});
to.pb({n, 2});
rep(i, 1, n << 1) {
ll mn = linf;
pair <int, int> go = {-1, -1};
to.pb({a[i].f, 2});
to.pb({a[i].f, 1});
to.pb({n, a[i].s});
to.pb({1, a[i].s});
for (auto it : to) {
if (!(1 <= it.f && it.f <= n && 1 <= it.s && it.s <= 2)) {
continue;
}
ll cur = dst(a[i], it);
if (cur < mn) {
mn = cur;
go = it;
}
}
rep(j, 1, 4) to.pp();
ans += mn;
cnt[go.f][go.s]++;
}
cout << ans + calc();
ioi
}
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