제출 #283853

#제출 시각아이디문제언어결과실행 시간메모리
283853rama_pangGolf (JOI17_golf)C++14
30 / 100
10077 ms67460 KiB
#include <bits/stdc++.h>
using namespace std;

class Boundary {
 public:
  int sz;
  vector<vector<int>> tree;

  Boundary() {}
  Boundary(int sz) : sz(sz), tree(2 * sz) {}

  void AddWall(int l, int r, int v) {
    for (l += sz, r += sz + 1; l < r; l /= 2, r /= 2) {
      if (l & 1) tree[l++].emplace_back(v);
      if (r & 1) tree[--r].emplace_back(v);
    }
  }

  void Build() {
    for (int i = 0; i < 2 * sz; i++) {
      sort(begin(tree[i]), end(tree[i]));
    }
  }

  int FindMax(int p, int x) { // Find maximum <= x
    int res = 0;
    for (p += sz; p > 0; p /= 2) {
      if (!tree[p].empty()) {
        auto it = upper_bound(begin(tree[p]), end(tree[p]), x);
        if (it != begin(tree[p])) {
          res = max(res, *prev(it));
        }
      }
    }
    return res;
  }

  int FindMin(int p, int x) { // Find minimum >= x
    int res = sz;
    for (p += sz; p > 0; p /= 2) {
      if (!tree[p].empty()) {
        auto it = lower_bound(begin(tree[p]), end(tree[p]), x);
        if (it != end(tree[p])) {
          res = min(res, *it);
        }        
      }
    }
    return res;
  }
};

void Read(int &S, int &T, int &U, int &V, int &N, 
          vector<int> &A, vector<int> &B, vector<int> &C, vector<int> &D) {

  cin >> S >> T >> U >> V >> N;
  A.resize(N), B.resize(N), C.resize(N), D.resize(N);

  vector<int> xcoord = {S, U};
  vector<int> ycoord = {T, V};
  for (int i = 0; i < N; i++) {
    cin >> A[i] >> B[i] >> C[i] >> D[i];
    xcoord.emplace_back(A[i]);
    xcoord.emplace_back(B[i]);
    ycoord.emplace_back(C[i]);
    ycoord.emplace_back(D[i]);
  }

  sort(begin(xcoord), end(xcoord));
  sort(begin(ycoord), end(ycoord));
  xcoord.resize(unique(begin(xcoord), end(xcoord)) - begin(xcoord));
  ycoord.resize(unique(begin(ycoord), end(ycoord)) - begin(ycoord));

  const auto GetPosition = [&](const vector<int> &a, int x) {
    return lower_bound(begin(a), end(a), x) - begin(a);
  };

  S = GetPosition(xcoord, S);
  T = GetPosition(ycoord, T);
  U = GetPosition(xcoord, U);
  V = GetPosition(ycoord, V);

  for (int i = 0; i < N; i++) {
    A[i] = GetPosition(xcoord, A[i]);
    B[i] = GetPosition(xcoord, B[i]);
    C[i] = GetPosition(ycoord, C[i]);
    D[i] = GetPosition(ycoord, D[i]);
  }
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  int S, T, U, V, N;
  vector<int> A, B, C, D;
  Read(S, T, U, V, N, A, B, C, D);

  vector<Boundary> boundary(2, Boundary(2 * N + 2));
  vector<array<int, 5>> lines; // (type 0 = vertical, 1 = horizontal)
  for (int i = 0; i < N; i++) {
    boundary[0].AddWall(C[i] + 1, D[i] - 1, A[i]);
    boundary[0].AddWall(C[i] + 1, D[i] - 1, B[i]);
    boundary[1].AddWall(A[i] + 1, B[i] - 1, C[i]);
    boundary[1].AddWall(A[i] + 1, B[i] - 1, D[i]);
    
    lines.push_back({A[i], C[i], D[i], 0, i * 4 + 0});
    lines.push_back({B[i], C[i], D[i], 0, i * 4 + 1});
    lines.push_back({C[i], A[i], B[i], 1, i * 4 + 2});
    lines.push_back({D[i], A[i], B[i], 1, i * 4 + 3});
  }
  lines.push_back({S, T, T, 0, N * 4 + 0});
  lines.push_back({T, S, S, 1, N * 4 + 0});
  lines.push_back({U, V, V, 0, N * 4 + 1});
  lines.push_back({V, U, U, 1, N * 4 + 1});

  vector<vector<int>> adj(4 * N + 6);
  auto AddEdge = [&](int u, int v) {
    adj[u].emplace_back(v);
  };

  boundary[0].Build();
  boundary[1].Build();
  for (auto &l : lines) {
    l[1] = boundary[l[3] ^ 1].FindMax(l[0], l[1] - 1);
    l[2] = boundary[l[3] ^ 1].FindMin(l[0], l[2] + 1);
  }

  for (int i = 0; i < (int) lines.size(); i++) {
    for (int j = i + 1; j < (int) lines.size(); j++) if (i != j) {
      if (lines[i][3] != lines[j][3]) {
        bool c1 = lines[i][1] <= lines[j][0] && lines[j][0] <= lines[i][2];
        bool c2 = lines[j][1] <= lines[i][0] && lines[i][0] <= lines[j][2];
        if (c1 && c2) {
          AddEdge(i, j);
          AddEdge(j, i);
        }
      }
    }
  }

  const int SRC = N * 4 + 4;
  const int TGT = N * 4 + 5;

  for (int i = 0; i < (int) lines.size(); i++) {
    if (lines[i][3] == 0) { // vertical
      if (lines[i][0] == S && lines[i][1] <= T && T <= lines[i][2]) {
        AddEdge(SRC, i);
      }
      if (lines[i][0] == U && lines[i][1] <= V && V <= lines[i][2]) {
        AddEdge(i, TGT);
      }
    } else { // horizontal
      if (lines[i][0] == T && lines[i][1] <= S && S <= lines[i][2]) {
        AddEdge(SRC, i);
      }
      if (lines[i][0] == V && lines[i][1] <= U && U <= lines[i][2]) {
        AddEdge(i, TGT);
      }
    }
  }

  queue<int> q;
  vector<int> dist(4 * N + 6, -1);
  q.emplace(SRC);
  dist[SRC] = 0;
  while (!q.empty()) {
    int u = q.front();
    q.pop();
    for (auto v : adj[u]) {
      if (dist[v] == -1) {
        dist[v] = dist[u] + 1;
        q.emplace(v);
      }
    }
  }
  cout << dist[TGT] - 1 << "\n";
  return 0;
}
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