Submission #880144

#TimeUsernameProblemLanguageResultExecution timeMemory
880144MilosMilutinovicRobot (JOI21_ho_t4)C++14
100 / 100
522 ms59432 KiB
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<vector<array<int, 3>>> g(n);
  vector<vector<int>> col(n);
  for (int i = 0; i < m; i++) {
    int u, v, c, p;
    cin >> u >> v >> c >> p;
    --u; --v; --c;
    g[u].push_back({v, c, p});
    g[v].push_back({u, c, p});
    col[u].push_back(c);
    col[v].push_back(c);
  }
  const long long inf = 1e18;
  vector<vector<long long>> dist(n);
  vector<vector<long long>> tot(n);
  vector<vector<vector<int>>> ids(n);
  for (int i = 0; i < n; i++) {
    col[i].push_back(-1);
    sort(col[i].begin(), col[i].end());
    col[i].erase(unique(col[i].begin(), col[i].end()), col[i].end());
    int sz = (int) col[i].size();
    dist[i] = vector<long long>(sz, inf);
    tot[i].resize(sz);
    ids[i].resize(sz);
    for (int j = 0; j < (int) g[i].size(); j++) {
      array<int, 3> p = g[i][j];
      int idx = (int) (lower_bound(col[i].begin(), col[i].end(), p[1]) - col[i].begin());
      tot[i][idx] += p[2];
      ids[i][idx].push_back(j);
    }
  }
  dist[0][0] = 0;
  set<tuple<long long, int, int>> st;
  auto Update = [&](int v, long long d, int c) {
    c = (int) (lower_bound(col[v].begin(), col[v].end(), c) - col[v].begin());
    if (dist[v][c] <= d) {
      return;
    }
    if (dist[v][c] != inf) {
      st.erase(st.find({dist[v][c], v, c}));
    }
    dist[v][c] = d;
    st.insert({dist[v][c], v, c});
  }; 
  st.emplace(0, 0, 0);
  while (!st.empty()) {
    auto it = st.begin();
    long long d = get<0>(*it);
    int i = get<1>(*it);
    int c = get<2>(*it);
    st.erase(it);
    if (c == 0) {
      for (auto& p : g[i]) {
        Update(p[0], d, p[1]);
        int idx = (int) (lower_bound(col[i].begin(), col[i].end(), p[1]) - col[i].begin());
        Update(p[0], d + min((long long) p[2], tot[i][idx] - p[2]), -1);
      }
    } else {
      for (int j : ids[i][c]) {
        array<int, 3> p = g[i][j];
        Update(p[0], d + tot[i][c] - p[2], -1);
      }
    }
  }
  if (dist[n - 1][0] == inf) {
    cout << -1 << '\n';
  } else {
    cout << dist[n - 1][0] << '\n';
  }
  return 0;
}
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