Submission #1161793

#TimeUsernameProblemLanguageResultExecution timeMemory
1161793Zero_OPCoin Collecting (JOI19_ho_t4)C++20
0 / 100
0 ms328 KiB
#include <bits/stdc++.h>

using namespace std;

#define FOR(i, l, r) for(int i = (l); i < (r); ++i)
#define ROF(i, r, l) for(int i = (r) - 1; i >= (l); --i)

#define mp make_pair
#define mt make_tuple
#define ff first
#define ss second

#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define sz(v) (int)v.size()
#define pb push_back
#define eb emplace_back
#define compact(v) v.erase(unique(all(v)), end(v))

#define dbg(x) "[" #x " = " << (x) << "]"

template<typename T>
bool minimize(T& a, const T& b){
      if(a > b) return a = b, true;
      return false;
}

template<typename T>
bool maximize(T& a, const T& b){
      if(a < b) return a = b, true;
      return false;
}

using ll = long long;
using db = double;
using ld = long double;
using ull = unsigned long long;

using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;

using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
using vc = vector<char>;
using vd = vector<db>;

using vpi = vector<pi>;
using vpl = vector<pl>;

void setIO(){
      ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef LOCAL
      freopen("task.inp", "r", stdin);
      freopen("task.out", "w", stdout);
#endif // LOCAL
}

ll dist(ll x1, ll y1, ll x2, ll y2){
      return abs(x1 - x2) + abs(y1 - y2);
}

int main(){
      setIO();

      int N;
      cin >> N;

      vi X(2 * N), Y(2 * N);
      ll base = 0;

      FOR(i, 0, 2*N){
            cin >> X[i] >> Y[i];

            tuple<ll, int, int> best(1e18, 0, 0);
            if(1 <= X[i] && X[i] <= N){
                  tuple<ll, int, int> U(dist(X[i], 2, X[i], Y[i]), X[i], 2);
                  tuple<ll, int, int> D(dist(X[i], 1, X[i], Y[i]), X[i], 1);
                  best = min(U, D);
            } else{
                  tuple<ll, int, int> DL(dist(1, 1, X[i], Y[i]), 1, 1);
                  tuple<ll, int, int> DR(dist(N, 1, X[i], Y[i]), N, 1);
                  tuple<ll, int, int> UL(dist(1, 2, X[i], Y[i]), 1, 2);
                  tuple<ll, int, int> UR(dist(N, 2, X[i], Y[i]), N, 2);

                  best = min({DL, DR, UL, UR});
            }

            ll cost; int x, y;
            tie(cost, x, y) = best;
            X[i] = x;
            Y[i] = y;
            base += cost;
      }

      vector<array<int, 2>> cnt(N);

//      cout << base << '\n';
      FOR(i, 0, 2 * N){
            ++cnt[X[i]-1][Y[i]-1];
      }

      //simulate the greedy
      queue<int> need[2], have[2];

      //only (need[0] need[1] empty) or (have[0] have[1] empty)
//      FOR(j, 0, 2) FOR(i, 0, N){
//            cout << cnt[i][j] << " \n"[i == N-1];
//      }



      ll simulation = 0;
      FOR(i, 0, N){
            if(cnt[i][0] == 0) need[0].push(i);
            else FOR(j, 1, cnt[i][0]) have[0].push(i);

            if(cnt[i][1] == 0) need[1].push(i);
            else FOR(j, 1, cnt[i][1]) have[1].push(i);

            while(!need[0].empty()){
                  if(have[0].empty() && have[1].empty()) break;
                  int A = (have[0].empty() ? INT_MAX : abs(have[0].front() - need[0].front()));
                  int B = (have[1].empty() ? INT_MAX : abs(have[1].front() - need[0].front()) + 1);

                  if(A <= B){
//                        cout << dbg(0) << dbg(need[0].front()) << dbg(have[0].front()) << '\n';
                        simulation += A;
                        have[0].pop();
                  } else{
//                        cout << dbg(0) << dbg(need[0].front()) << dbg(have[1].front()) << '\n';
                        simulation += B;
                        have[1].pop();
                  }

                  need[0].pop();
            }

            while(!need[1].empty()){
                  if(have[0].empty() && have[1].empty()) break;
                  int A = (have[1].empty() ? INT_MAX : abs(have[1].front() - need[1].front()));
                  int B = (have[0].empty() ? INT_MAX : abs(have[0].front() - need[1].front()) + 1);

                  if(A <= B){
//                        cout << dbg(1) << dbg(need[1].front()) << dbg(have[1].front()) << '\n';
                        simulation += A;
                        have[1].pop();
                  } else{
//                        cout << dbg(1) << dbg(need[1].front()) << dbg(have[0].front()) << '\n';
                        simulation += B;
                        have[0].pop();
                  }

                  need[1].pop();
            }
      }


      FOR(i, 0, 2){
            assert(need[i].empty());
            assert(have[i].empty());
      }

      cout << base + simulation << '\n';

      return 0;
}
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