結果

問題 No.1442 I-wate Shortest Path Problem
ユーザー 👑 emthrmemthrm
提出日時 2021-03-28 03:30:15
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 504 ms / 3,000 ms
コード長 6,713 bytes
コンパイル時間 3,274 ms
コンパイル使用メモリ 235,012 KB
実行使用メモリ 35,112 KB
最終ジャッジ日時 2024-11-29 08:28:42
合計ジャッジ時間 9,367 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 6 ms
5,248 KB
testcase_03 AC 63 ms
5,248 KB
testcase_04 AC 7 ms
5,248 KB
testcase_05 AC 5 ms
5,248 KB
testcase_06 AC 61 ms
5,248 KB
testcase_07 AC 5 ms
5,248 KB
testcase_08 AC 42 ms
5,248 KB
testcase_09 AC 10 ms
5,248 KB
testcase_10 AC 72 ms
5,248 KB
testcase_11 AC 47 ms
5,248 KB
testcase_12 AC 269 ms
30,240 KB
testcase_13 AC 123 ms
25,512 KB
testcase_14 AC 208 ms
27,728 KB
testcase_15 AC 199 ms
27,812 KB
testcase_16 AC 288 ms
30,256 KB
testcase_17 AC 504 ms
34,208 KB
testcase_18 AC 490 ms
34,312 KB
testcase_19 AC 315 ms
30,524 KB
testcase_20 AC 469 ms
34,300 KB
testcase_21 AC 474 ms
34,216 KB
testcase_22 AC 139 ms
30,040 KB
testcase_23 AC 314 ms
35,112 KB
testcase_24 AC 107 ms
26,256 KB
testcase_25 AC 281 ms
33,332 KB
testcase_26 AC 128 ms
27,820 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

template <typename CostType>
struct Edge {
  int src, dst; CostType cost;
  Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {}
  inline bool operator<(const Edge &x) const {
    return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src;
  }
  inline bool operator<=(const Edge &x) const { return !(x < *this); }
  inline bool operator>(const Edge &x) const { return x < *this; }
  inline bool operator>=(const Edge &x) const { return !(*this < x); }
};

template <typename CostType>
struct LCADoubling {
  std::vector<int> depth;
  std::vector<CostType> dist;

  LCADoubling(const std::vector<std::vector<Edge<CostType>>> &graph) : graph(graph) {
    n = graph.size();
    depth.resize(n);
    dist.resize(n);
    while ((1 << table_h) <= n) ++table_h;
    parent.resize(table_h, std::vector<int>(n));
  }

  void build(int root = 0) {
    is_built = true;
    dfs(-1, root, 0, 0);
    for (int i = 0; i + 1 < table_h; ++i) for (int ver = 0; ver < n; ++ver) {
      parent[i + 1][ver] = parent[i][ver] == -1 ? -1 : parent[i][parent[i][ver]];
    }
  }

  int query(int u, int v) const {
    assert(is_built);
    if (depth[u] > depth[v]) std::swap(u, v);
    for (int i = 0; i < table_h; ++i) {
      if ((depth[v] - depth[u]) >> i & 1) v = parent[i][v];
    }
    if (u == v) return u;
    for (int i = table_h - 1; i >= 0; --i) {
      if (parent[i][u] != parent[i][v]) {
        u = parent[i][u];
        v = parent[i][v];
      }
    }
    return parent[0][u];
  }

  CostType distance(int u, int v) const {
    assert(is_built);
    return dist[u] + dist[v] - dist[query(u, v)] * 2;
  }

private:
  bool is_built = false;
  int n, table_h = 1;
  std::vector<std::vector<Edge<CostType>>> graph;
  std::vector<std::vector<int>> parent;

  void dfs(int par, int ver, int now_depth, CostType now_dist) {
    depth[ver] = now_depth;
    dist[ver] = now_dist;
    parent[0][ver] = par;
    for (const Edge<CostType> &e : graph[ver]) {
      if (e.dst != par) dfs(ver, e.dst, now_depth + 1, now_dist + e.cost);
    }
  }
};

template <typename T>
struct WarshallFloyd {
  std::vector<std::vector<T>> graph, dist;

  WarshallFloyd(const std::vector<std::vector<T>> &graph, const T inf) : graph(graph), dist(graph), inf(inf) {
    n = graph.size();
    internal.assign(n, std::vector<int>(n, -1));
    for (int k = 0; k < n; ++k) for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) {
      if (dist[i][j] > dist[i][k] + dist[k][j]) {
        dist[i][j] = dist[i][k] + dist[k][j];
        internal[i][j] = k;
      }
    }
  }

  void add(int src, int dst, T cost) {
    srcs.emplace_back(src);
    dsts.emplace_back(dst);
    costs.emplace_back(cost);
  }

  void calc() {
    std::set<int> vers;
    int sz = srcs.size();
    for (int i = 0; i < sz; ++i) {
      int s = srcs[i], t = dsts[i];
      T cost = costs[i];
      if (cost < graph[s][t]) graph[s][t] = cost;
      if (dist[s][t] >= cost) {
        dist[s][t] = cost;
        internal[s][t] = -1;
      }
      vers.emplace(s);
      vers.emplace(t);
    }
    for (int v : vers) {
      for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) {
        if (dist[i][j] > dist[i][v] + dist[v][j]) {
          dist[i][j] = dist[i][v] + dist[v][j];
          internal[i][j] = v;
        }
      }
    }
    srcs.clear();
    dsts.clear();
    costs.clear();
  }

  bool has_negative_cycle() const {
    for (int i = 0; i < n; ++i) {
      if (dist[i][i] < 0) return true;
    }
    return false;
  }

  std::vector<int> build_path(int s, int t) const {
    std::vector<int> res;
    if (dist[s][t] != inf) {
      build_path(s, t, res);
      res.emplace_back(t);
    }
    return res;
  }

private:
  const T inf;
  int n;
  std::vector<std::vector<int>> internal;
  std::vector<int> srcs, dsts;
  std::vector<T> costs;

  void build_path(int s, int t, std::vector<int> &path) const {
    int k = internal[s][t];
    if (k == -1) {
      path.emplace_back(s);
    } else {
      build_path(s, k, path);
      build_path(k, t, path);
    }
  }
};

int main() {
  int n, k; cin >> n >> k;
  vector<vector<Edge<ll>>> graph(n);
  REP(_, n - 1) {
    int a, b, c; cin >> a >> b >> c; --a; --b;
    graph[a].emplace_back(a, b, c);
    graph[b].emplace_back(b, a, c);
  }
  LCADoubling lca(graph);
  lca.build();
  vector<int> p(k);
  vector<vector<int>> x(k);
  REP(i, k) {
    int m; cin >> m >> p[i];
    x[i].resize(m);
    REP(j, m) cin >> x[i][j], --x[i][j];
  }
  vector dist(k, vector(n, LINF));
  REP(i, k) {
    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> que;
    REP(j, x[i].size()) {
      dist[i][x[i][j]] = 0;
      que.emplace(0, x[i][j]);
    }
    while (!que.empty()) {
      auto [cost, city] = que.top(); que.pop();
      if (cost > dist[i][city]) continue;
      for (const Edge<ll> &e : graph[city]) {
        if (ll nx = dist[i][city] + e.cost; nx < dist[i][e.dst]) {
          dist[i][e.dst] = nx;
          que.emplace(nx, e.dst);
        }
      }
    }
  }
  vector g(k, vector(k, LINF));
  REP(i, k) REP(j, k) for (int e : x[j]) chmin(g[i][j], dist[i][e]);
  WarshallFloyd wf(g, LINF);
  int q; cin >> q;
  while (q--) {
    int u, v; cin >> u >> v; --u; --v;
    ll ans = lca.distance(u, v);
    vector<ll> d(k, LINF);
    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> que;
    REP(i, k) {
      d[i] = dist[i][u] + p[i];
      que.emplace(d[i], i);
    }
    while (!que.empty()) {
      auto [cost, airport] = que.top(); que.pop();
      if (cost > d[airport]) continue;
      REP(i, k) {
        if (ll nx = d[airport] + g[airport][i] + p[i]; nx < d[i]) {
          d[i] = nx;
          que.emplace(nx, i);
        }
      }
    }
    REP(i, k) chmin(ans, d[i] + dist[i][v]);
    cout << ans << '\n';
  }
  return 0;
}
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