test/graph/tree/rerooting.test.cpp

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• Last update: 2024-11-09 00:49:07+00:00
• Problem: https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_B

Depends on

• graph.hpp
• graph/csr.hpp
• graph/traits.hpp
• graph/tree/dfs.hpp
• graph/tree/rerooting.hpp
• prelude.hpp
• range.hpp

Code

// competitive-verifier: PROBLEM https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_B

#include "graph/tree/rerooting.hpp"

int main() {
  int n;
  scanf("%d", &n);
  vector<vector<pair<int, int>>> G(n);
  rep(_, n - 1) {
    int u, v;
    int w;
    scanf("%d%d%d", &u, &v, &w);
    G[u].emplace_back(v, w);
    G[v].emplace_back(u, w);
  }
  auto res = rerooting(
      G, pair(pair(0, -1), pair(0, -1)),
      [&](auto& xu, auto& xv, int v, int w) {
        if (xu.first.first < xv.first.first + w)
          xu.second = xu.first, xu.first = pair(xv.first.first + w, v);
        else if (xu.second.first < xv.first.first + w)
          xu.second = pair(xv.first.first + w, v);
      },
      [&](auto& xu, auto&&, int v, auto&&) {
        if (xu.first.second == v) xu.first = xu.second;
      });
  rep(v, n) printf("%d\n", res[v].first.first);
}

#line 1 "test/graph/tree/rerooting.test.cpp"
// competitive-verifier: PROBLEM https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_B

#line 2 "prelude.hpp"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;
using vc = vector<char>;
#define rep2(i, m, n) for (auto i = (m); i < (n); i++)
#define rep(i, n) rep2(i, 0, n)
#define repr2(i, m, n) for (auto i = (n); i-- > (m);)
#define repr(i, n) repr2(i, 0, n)
#define all(x) begin(x), end(x)
auto ndvec(int n, auto e) { return vector(n, e); }
auto ndvec(int n, auto ...e) { return vector(n, ndvec(e...)); }
auto comp_key(auto&& f) { return [&](auto&& a, auto&& b) { return f(a) < f(b); }; }
auto& max(const auto& a, const auto& b) { return a < b ? b : a; }
auto& min(const auto& a, const auto& b) { return b < a ? b : a; }
#if __cpp_lib_ranges
namespace R = std::ranges;
namespace V = std::views;
#endif
#line 3 "graph/traits.hpp"

struct unit_edge {
  int to;
  operator int() const { return to; }
  int w() const { return 1; }
};

template <class Weight>
struct weighted_edge {
  int to;
  Weight weight;
  operator int() const { return to; }
  Weight w() const { return weight; }
};

template <class Inner>
struct basic_graph {
  using weight_type = void;
  const Inner& inner;
  basic_graph(const Inner& g) : inner(g) { }
  template <class F>
  void adj(int v, F f) const {
    for (auto u : inner[v]) f(unit_edge{u});
  }
  int deg(int v) const { return inner[v].size(); }
};

template <class Inner, class Weight>
struct basic_weighted_graph {
  using weight_type = Weight;
  const Inner& inner;
  basic_weighted_graph(const Inner& g) : inner(g) { }
  template <class F>
  void adj(int v, F f) const {
    for (auto [u, w] : inner[v]) f(weighted_edge<weight_type>{u, w});
  }
  int deg(int v) const { return inner[v].size(); }
};

template <class Inner>
struct graph_trait {
  using weight_type = typename Inner::weight_type;
  const Inner& g;
  graph_trait(const Inner& g) : g(g) { }
  int size() const { return g.size(); }
  template <class F>
  void adj(int v, F f) const {
    g.adj(v, f);
  }
  decltype(auto) operator[](int v) const { return g[v]; }
};

template <class T>
constexpr bool is_weighted_v =
    !is_same_v<typename graph_trait<T>::weight_type, void>;

template <class T>
using weight_t =
    conditional_t<is_weighted_v<T>, typename graph_trait<T>::weight_type, int>;

template <class T>
using edge_t =
    conditional_t<is_weighted_v<T>, weighted_edge<weight_t<T>>, unit_edge>;

template <size_t N>
struct graph_trait<vector<int>[N]> : basic_graph<vector<int>[N]> {
  using basic_graph<vector<int>[N]>::basic_graph;
  int size() const { return N; }
};

template <>
struct graph_trait<vector<vector<int>>> : basic_graph<vector<vector<int>>> {
  using basic_graph<vector<vector<int>>>::basic_graph;
  int size() const { return this->inner.size(); }
};

template <size_t N, class Weight>
struct graph_trait<vector<pair<int, Weight>>[N]>
    : basic_weighted_graph<vector<pair<int, Weight>>[N], Weight> {
      using basic_weighted_graph<
          vector<pair<int, Weight>>[N], Weight>::basic_weighted_graph;
      int size() const { return N; }
    };

template <class Weight>
struct graph_trait<vector<vector<pair<int, Weight>>>>
    : basic_weighted_graph<vector<vector<pair<int, Weight>>>, Weight> {
  using basic_weighted_graph<
      vector<vector<pair<int, Weight>>>, Weight>::basic_weighted_graph;
  int size() const { return this->inner.size(); }
};
#line 3 "range.hpp"

template <class It>
struct range : pair<It, It> {
  using pair<It, It>::pair;
  It begin() const { return this->first; }
  It end() const { return this->second; }
  It cbegin() const { return begin(); }
  It cend() const { return end(); }
  int size() const { return this->second - this->first; }
};
#line 4 "graph/csr.hpp"

template <size_t>
struct stdin_reader;

template <class Weight = void>
class csr_graph {
 private:
  struct directed_t {};

 public:
  using weight_type = Weight;

  csr_graph() = default;
  template <class It>
  csr_graph(int n, It e, It e_last) : n(n), m(distance(e, e_last)) {
    init<false>(e, e_last);
  }
  template <size_t Size = 1 << 26>
  csr_graph(int n, int m, stdin_reader<Size>& read) : n(n), m(m) {
    auto e = read_e(read);
    init<false>(all(e));
  }

  template <class It>
  static csr_graph directed(int n, It e, It e_last) {
    return csr_graph(directed_t{}, n, e, e_last);
  }
  template <size_t Size = 1 << 26>
  static csr_graph directed(int n, int m, stdin_reader<Size>& read) {
    return csr_graph(directed_t{}, n, m, read);
  }

  template <size_t Size = 1 << 26>
  static csr_graph tree(int n, stdin_reader<Size>& read) {
    return csr_graph(n, n - 1, read);
  }
  template <size_t Size = 1 << 26>
  static csr_graph tree(stdin_reader<Size>& read) {
    int n = read;
    return csr_graph(n, n - 1, read);
  }

  int size() const { return n; }
  range<typename vector<edge_t<csr_graph>>::iterator> operator[](int v) const {
    return {ls[v], rs[v]};
  }
  int deg(int v) { return rs[v] - ls[v]; }
  template <class F>
  void adj(int v, F f) const {
    for_each(ls[v], rs[v], f);
  }

 private:
  template <class It>
  csr_graph(directed_t, int n, It e, It e_last) : n(n), m(distance(e, e_last)) {
    init<true>(e, e_last);
  }
  template <size_t Size = 1 << 26>
  csr_graph(directed_t, int n, int m, stdin_reader<Size>& read) : n(n), m(m) {
    auto e = read_e(read);
    init<true>(all(e));
  }

  vector<typename vector<edge_t<csr_graph>>::iterator> ls, rs;
  int n, m;
  vector<edge_t<csr_graph>> es;
  template <bool OneBased = true, size_t Size = 1 << 26>
  auto read_e(stdin_reader<Size>& read) {
    using E = conditional_t<is_weighted_v<csr_graph>, tuple<int, int, Weight>,
                            pair<int, int>>;
    vector<E> res(m);
    for (auto& e : res) {
      read(e);
      if (OneBased) get<0>(e)--, get<1>(e)--;
    }
    return res;
  }
  template <bool Directed, class It>
  void init(It e, It e_last) {
    if (!Directed) m *= 2;
    es.resize(m);
    ls.resize(n), rs.resize(n);
    vector<int> sz(n);
    for (auto it = e; it != e_last; it++) {
      int from = get<0>(*it), to = get<1>(*it);
      sz[from]++;
      if (!Directed) sz[to]++;
    }
    partial_sum(all(sz), sz.begin());
    rep(v, n) ls[v] = rs[v] = es.begin() + sz[v];
    for (auto it = e; it != e_last; it++) {
      int from = get<0>(*it), to = get<1>(*it);
      if constexpr (is_weighted_v<csr_graph>)
        *--ls[from] = edge_t<csr_graph>{to, get<2>(*it)};
      else
        *--ls[from] = edge_t<csr_graph>{to};
      if (!Directed) {
        if constexpr (is_weighted_v<csr_graph>)
          *--ls[to] = edge_t<csr_graph>{from, get<2>(*it)};
        else
          *--ls[to] = edge_t<csr_graph>{from};
      }
    }
  }
};
#line 3 "graph/tree/dfs.hpp"

// f(edge, par)
template <class G, class Fin, class Fout>
void dfs(const G& graph, int s, Fin&& fin, Fout&& fout) {
  graph_trait<G> g(graph);
  auto dfs_fn = [&](auto&& f, int v, int p) {
    g.adj(v, [&](auto&& e) {
      if (e.to != p) fin(e, v), f(f, e.to, v), fout(e, v);
    });
  };
  dfs_fn(dfs_fn, s, -1);
}

// f(edge, par)
template <class G, class F>
void dfs(const G& graph, int s, F&& f) {
  dfs(graph, s, f, [](auto&&, auto&&) {});
}

// f(edge, par)
template <class G, class F>
void dfs_bottom_up(const G& graph, int s, F&& f) {
  dfs(graph, s, [](auto&&, auto&&) {}, f);
}

// f(edge, par or -1)
template <class G, class F>
void dfs_ord(const G& graph, int s, F&& f) {
  f(s, -1);
  dfs(graph, s, [&](auto&& v, int p) { f(v, p); });
}

// f(edge, par or -1)
template <class G, class F>
void dfs_rev_ord(const G& graph, int s, F&& f) {
  dfs_bottom_up(graph, s, [&](auto&& v, int p) { f(v, p); });
  f(weighted_edge<weight_t<G>>{s, -1}, -1);
}
#line 4 "graph/tree/rerooting.hpp"

// add(&par.data, &v.data, v, edge)
template <class G, class T, class Add, class Remove, class Inv = identity>
vector<T> rerooting(
    const G& graph, vector<T> init, Add&& add = Add(), Remove remove = Remove(),
    Inv e_inv = Inv()) {
  graph_trait<G> g(graph);
  vector<T> now(move(init)), res(g.size());
  dfs_bottom_up(
      graph, 0, [&](auto&& e, int p) { add(now[p], now[e.to], e.to, e.w()); });
  res[0] = now[0];
  dfs(
      graph, 0,
      [&](auto&& e, int p) {
        remove(now[p], now[e.to], e.to, e.w());
        add(now[e.to], now[p], p, e_inv(e.w()));
        res[e.to] = now[e.to];
      },
      [&](auto&& e, int p) {
        remove(now[e.to], now[p], p, e_inv(e.w()));
        add(now[p], now[e.to], e.to, e.w());
      });
  return res;
}

// add(&par.data, &v.data, v, edge)
template <class G, class T, class Add, class Remove, class Inv = identity>
vector<T> rerooting(
    const G& graph, T unit = T(), Add&& add = Add(), Remove remove = Remove(),
    Inv e_inv = Inv()) {
  return rerooting(
      graph, vector<T>(graph_trait<G>(graph).size(), unit), add, remove, e_inv);
}
#line 4 "test/graph/tree/rerooting.test.cpp"

int main() {
  int n;
  scanf("%d", &n);
  vector<vector<pair<int, int>>> G(n);
  rep(_, n - 1) {
    int u, v;
    int w;
    scanf("%d%d%d", &u, &v, &w);
    G[u].emplace_back(v, w);
    G[v].emplace_back(u, w);
  }
  auto res = rerooting(
      G, pair(pair(0, -1), pair(0, -1)),
      [&](auto& xu, auto& xv, int v, int w) {
        if (xu.first.first < xv.first.first + w)
          xu.second = xu.first, xu.first = pair(xv.first.first + w, v);
        else if (xu.second.first < xv.first.first + w)
          xu.second = pair(xv.first.first + w, v);
      },
      [&](auto& xu, auto&&, int v, auto&&) {
        if (xu.first.second == v) xu.first = xu.second;
      });
  rep(v, n) printf("%d\n", res[v].first.first);
}

Test cases

Env	Name	Status	Elapsed	Memory
g++-12	00_sample_00.in	AC	143 ms	8 MB
g++-12	00_sample_01.in	AC	11 ms	8 MB
g++-12	01_minimum_00.in	AC	11 ms	8 MB
g++-12	01_minimum_01.in	AC	12 ms	8 MB
g++-12	01_minimum_02.in	AC	11 ms	8 MB
g++-12	01_minimum_03.in	AC	12 ms	8 MB
g++-12	02_small_00.in	AC	12 ms	8 MB
g++-12	02_small_01.in	AC	11 ms	8 MB
g++-12	02_small_02.in	AC	11 ms	8 MB
g++-12	50-random00.in	AC	15 ms	9 MB
g++-12	50-random01.in	AC	20 ms	9 MB
g++-12	50-random02.in	AC	17 ms	9 MB
g++-12	50-random03.in	AC	18 ms	9 MB
g++-12	50-random04.in	AC	21 ms	10 MB
g++-12	50-random05.in	AC	23 ms	10 MB
g++-12	50-random06.in	AC	23 ms	10 MB
g++-12	50-random07.in	AC	23 ms	10 MB
g++-12	50-random08.in	AC	23 ms	10 MB
g++-12	50-random09.in	AC	23 ms	10 MB
g++-12	50-random10.in	AC	23 ms	10 MB
g++-12	corner01-00.in	AC	29 ms	18 MB
g++-12	corner01-01.in	AC	30 ms	18 MB
g++-12	corner01-02.in	AC	30 ms	18 MB
g++-12	corner01-03.in	AC	29 ms	18 MB
g++-12	corner01-04.in	AC	30 ms	18 MB
g++-12	corner01-05.in	AC	30 ms	18 MB
g++-12	corner02-00.in	AC	20 ms	10 MB
g++-12	corner02-01.in	AC	20 ms	10 MB
g++-12	corner02-02.in	AC	20 ms	10 MB
g++-12	corner02-03.in	AC	20 ms	10 MB
g++-12	corner02-04.in	AC	20 ms	10 MB
g++-12	corner02-05.in	AC	20 ms	10 MB

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