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>
#define DIM 200010
using namespace std;
pair <long long, long long> v[DIM];
vector <int> coins[3],libere[3];
long long a[DIM][3], sol;
int n,i,j;
inline long long modul (long long n){
if (n < 0)
return -n;
return n;
}
long long dist (long long x, long long y, long long x2, long long y2){
return modul (x - x2) + modul (y - y2);
}
int main (){
//ifstream cin ("date.in");
//ofstream cout ("date.out");
cin>>n;
for (i=1;i<=2*n;i++){
cin>>v[i].first>>v[i].second;
if (v[i].first < 1 && v[i].second > 2){
a[1][2]++;
sol += dist (v[i].first,v[i].second,1,2);
continue;
}
if (v[i].first >= 1 && v[i].first <= n && v[i].second > 2){
a[v[i].first][2]++;
sol += dist (v[i].first,v[i].second,v[i].first,2);
continue;
}
if (v[i].first > n && v[i].second > 2){
a[n][2]++;
sol += dist (v[i].first,v[i].second,n,2);
continue;
}
if (v[i].first > n && v[i].second >= 1 && v[i].second <= 2){
a[n][v[i].second]++;
sol += dist (v[i].first,v[i].second,n,v[i].second);
continue;
}
if (v[i].first > n && v[i].second < 1){
a[n][1]++;
sol += dist (v[i].first,v[i].second,n,1);
continue;
}
if (v[i].first >= 1 && v[i].second <= n && v[i].second < 1){
a[v[i].first][1]++;
sol += dist (v[i].first,v[i].second,v[i].first,1);
continue;
}
if (v[i].first < 1 && v[i].second < 1){
a[1][1]++;
sol += dist (v[i].first, v[i].second,1,1);
continue;
}
if (v[i].first < 1 && v[i].second >= 1 && v[i].second <= 2){
a[1][v[i].second]++;
sol += dist (v[i].first,v[i].second,1,v[i].second);
continue;
}
a[v[i].first][v[i].second]++;
}
for (i=1;i<=n;i++){
if (!a[i][1])
libere[1].push_back(i);
if (!a[i][2])
libere[2].push_back(i);
while (a[i][1] > 1){
coins[1].push_back (i);
a[i][1]--;
}
while (a[i][2] > 1){
coins[2].push_back(i);
a[i][2]--;
}
/// pun banii de pe prima linie in pozitiile libere tot de pe prima linie
while (!coins[1].empty() && !libere[1].empty()){
int poz1 = coins[1].back(), poz2 = libere[1].back();
sol += modul (poz1 - poz2);
coins[1].pop_back(), libere[1].pop_back();
}
/// la fel si pt linia a doua
while (!coins[2].empty() && !libere[2].empty()){
int poz1 = coins[2].back(), poz2 = libere[2].back();
sol += modul (poz1 - poz2);
coins[2].pop_back(), libere[2].pop_back();
}
/// acum mut de pe prima pe a doua si invers
while (!coins[1].empty() && !libere[2].empty()){
int poz1 = coins[1].back(), poz2 = libere[2].back();
sol += modul(poz1 - poz2) + 1;
coins[1].pop_back(), libere[2].pop_back();
}
while (!coins[2].empty() && !libere[1].empty()){
int poz1 = coins[2].back(), poz2 = libere[1].back();
sol += modul (poz1 - poz2) + 1;
coins[2].pop_back(), libere[1].pop_back();
}
}
/*
int poz1 = 1, poz2 = 1;
for (i=1;i<=n;i++){
/// incerc sa le duc cat mai mult in stanga
while (a[i][1] > 1){
while (poz1 < i && a[poz1][1])
poz1++;
if (poz1 < i){
sol += i - poz1;
a[i][1]--;
a[poz1][1] = 1;
} else break;
}
while (a[i][2] > 1){
while (poz1 < i && a[poz2][2])
poz2++;
if (poz2 < i){
sol += i - poz2;
a[i][2]--;
a[poz2][2] = 1;
} else break;
}
/// mut moneda de pe prima linie pe a doua si invers
while (a[i][1] > 1){
while (poz2 <= i && a[poz2][2])
poz2++;
if (poz2 <= i){
sol += i - poz2 + 1;
a[i][1]--;
a[poz2][2] = 1;
} else break;
}
while (a[i][2] > 1){
while (poz1 <= i && a[poz1][1])
poz1++;
if (poz1 <= i){
sol += i - poz1 + 1;
a[i][2]--;
a[poz1][1] = 1;
} else break;
}
}
/// acum duc spre dreapta monedele
poz1 = n, poz2 = n;
for (i=1;i<=n;i++){
while (a[i][1] > 1){
while (poz1 > i && a[poz1][1])
poz1--;
if (poz1 > i){
sol += poz1 - i;
a[i][1]--;
a[poz1][1] = 1;
} else break;
}
while (a[i][2] > 1){
while (poz2 > i && a[poz2][2])
poz2--;
if (poz2 > i){
sol += poz2 - i;
a[i][2]--;
a[poz2][2] = 1;
} else break;
}
while (a[i][1] > 1){
while (poz2 >= i && a[poz2][2])
poz2--;
if (poz2 >= i){
sol += poz2 - i + 1;
a[i][1]--;
a[poz2][2] = 1;
} else break;
}
while (a[i][2] > 1){
while (poz1 >= i && a[poz1][1])
poz1--;
if (poz1 >= i){
sol += poz1 - i + 1;
a[i][2]--;
a[poz1][1] = 1;
} else break;
}
}
*/
cout<<sol;
return 0;
}
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