Submission #886558

#TimeUsernameProblemLanguageResultExecution timeMemory
886558vjudge1Towers (NOI22_towers)C++17
100 / 100
773 ms129040 KiB
#include <bits/stdc++.h>

using namespace std;

template<typename A, typename B>
string to_string(pair<A, B>);
string to_string(string S) {
  return '"' + S + '"';
}
string to_string(const char* c) {
  return to_string(string(c));
}
string to_string(bool b) {
  return (b ? "true" : "false");
}
template<size_t T>
string to_string(bitset<T> bs) {
  return bs.to_string();
}
string to_string(vector<bool> v) {
  string res = "{";
  for (int i = 0; i < int(v.size()); ++i) {
    if (int(res.size()) > 1) {
      res += ", ";
    }
    res += to_string(v[i]);
  }
  return res + "}";
}
template<typename T>
string to_string(T v) {
  string res = "{";
  for (auto e : v) {
    if (int(res.size()) > 1) {
      res += ", ";
    }
    res += to_string(e);
  }
  return res + "}";
}
template<typename A, typename B>
string to_string(pair<A, B> p) {
  return '(' + to_string(p.first) + ", " + to_string(p.second) + ')';
}
void debug_out() {
  cerr << endl;
}
template<typename H, typename... T>
void debug_out(H head, T... tail) {
  cerr << "  " << to_string(head);
  debug_out(tail...);
}

#ifdef DEBUG 
  #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) 
#else 
  #define debug(...) void(37)
#endif

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  int N;
  cin >> N;
  vector<int> X(N), Y(N);
  for (int i = 0; i < N; ++i) {
    cin >> X[i] >> Y[i];
    --X[i], --Y[i];
  }
  #ifdef LOCAL
    const int MAX = int(30);
  #else
    const int MAX = int(1e6);
  #endif
  vector<vector<int>> xs(MAX), ys(MAX);
  for (int i = 0; i < N; ++i) {
    xs[X[i]].push_back(i);
    ys[Y[i]].push_back(i);
  }
  vector<int> xid(N), yid(N);
  for (int i = 0; i < MAX; ++i) {
    sort(xs[i].begin(), xs[i].end(), [&](int x, int y) {  
      return Y[x] < Y[y];
    });
    sort(ys[i].begin(), ys[i].end(), [&](int x, int y) {
      return X[x] < X[y];
    });
    for (int j = 0; j < int(xs[i].size()); ++j) {
      xid[xs[i][j]] = j;
    }
    for (int j = 0; j < int(ys[i].size()); ++j) {
      yid[ys[i][j]] = j;
    }
  }
  vector<bool> top(N), bot(N);
  vector<int> min_row(MAX, -1);
  vector<int> max_row(MAX, -1);
  vector<int> rem;
  auto Add = [&](int i, bool type) {
    debug(i, type);
    if (type) {
      top[i] = true;
    } else {
      bot[i] = true;
    }
    int& mn = min_row[Y[i]];
    int& mx = max_row[Y[i]];
    if (mn == -1) {
      mn = mx = i;
    } else if (X[mn] > X[i]) {
      debug(mn, mx, X[mn], X[i]);
      if (mx != mn) rem.push_back(mn);
      mn = i;
    } else if (X[mx] < X[i]) {
      debug(mx, mn, X[mx], X[i]);
      if (mx != mn) rem.push_back(mx);
      mx = i;
    }
    if (mn != i && mx != i) {
      debug("!used", i);
      rem.push_back(i);
    }
  };
  for (int i = 0; i < MAX; ++i) {
    if (xs[i].empty()) continue;
    Add(xs[i][0], false);
    Add(xs[i].back(), true);
  }
  debug(top, bot, rem);
  for (int it = 0; it < int(rem.size()); ++it) {
    int i = rem[it];
    debug(i, bool(top[i]), bool(bot[i]));
    if (top[i] && bot[i]) {
      top[i] = bot[i] = false;
      continue;
    }
    if (top[i]) {
      top[i] = false;
      Add(xs[X[i]][xid[i] - 1], true);
    } else if (bot[i]) {
      bot[i] = false;
      Add(xs[X[i]][xid[i] + 1], false);
    }
  }
  for (int i = 0; i < N; ++i) {
    cout << (bot[i] || top[i]);
  }
  cout << '\n';
}
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