test/verify/aoj-grl-1-a-3.test.cpp

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• Last update: 2024-04-27 01:27:28+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A

Depends on

• Graph Template(グラフテンプレート) (graph/graph-template.hpp)
• Dijkstra-Radix-Heap(単一始点最短路) (graph/shortest-path/dijkstra-radix-heap.hpp)
• structure/heap/radix-heap.hpp
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A

#include "../../template/template.hpp"

#include "../../structure/heap/radix-heap.hpp"

#include "../../graph/shortest-path/dijkstra-radix-heap.hpp"

int main() {
  int V, E, R;
  cin >> V >> E >> R;
  Graph< int > g(V);
  g.read(E, 0, true, true);
  for(auto &dist : dijkstra_radix_heap(g, R)) {
    if(dist == numeric_limits< int >::max()) cout << "INF\n";
    else cout << dist << "\n";
  }
}

#line 1 "test/verify/aoj-grl-1-a-3.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A

#line 1 "template/template.hpp"
#include <bits/stdc++.h>

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
  return a > b && (a = b, true);
}

template <typename T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/aoj-grl-1-a-3.test.cpp"

#line 1 "structure/heap/radix-heap.hpp"
template <typename key_t, typename val_t>
struct RadixHeap {
  static constexpr int bit = sizeof(key_t) * 8;
  array<vector<pair<key_t, val_t> >, bit> vs;

  size_t sz;
  key_t last;

  RadixHeap() : sz(0), last(0) {}

  bool empty() const { return sz == 0; }

  size_t size() const { return sz; }

  inline int getbit(int a) const { return a ? bit - __builtin_clz(a) : 0; }

  inline int getbit(int64_t a) const {
    return a ? bit - __builtin_clzll(a) : 0;
  }

  void push(const key_t &key, const val_t &val) {
    sz++;
    vs[getbit(key ^ last)].emplace_back(key, val);
  }

  pair<key_t, val_t> pop() {
    if (vs[0].empty()) {
      int idx = 1;
      while (vs[idx].empty()) idx++;
      last = min_element(vs[idx].begin(), vs[idx].end())->first;
      for (auto &p : vs[idx]) vs[getbit(p.first ^ last)].emplace_back(p);
      vs[idx].clear();
    }
    --sz;
    auto res = vs[0].back();
    vs[0].pop_back();
    return res;
  }
};
#line 6 "test/verify/aoj-grl-1-a-3.test.cpp"

#line 2 "graph/shortest-path/dijkstra-radix-heap.hpp"

#line 2 "graph/graph-template.hpp"

/**
 * @brief Graph Template(グラフテンプレート)
 */
template <typename T = int>
struct Edge {
  int from, to;
  T cost;
  int idx;

  Edge() = default;

  Edge(int from, int to, T cost = 1, int idx = -1)
      : from(from), to(to), cost(cost), idx(idx) {}

  operator int() const { return to; }
};

template <typename T = int>
struct Graph {
  vector<vector<Edge<T> > > g;
  int es;

  Graph() = default;

  explicit Graph(int n) : g(n), es(0) {}

  size_t size() const { return g.size(); }

  void add_directed_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es++);
  }

  void add_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es);
    g[to].emplace_back(to, from, cost, es++);
  }

  void read(int M, int padding = -1, bool weighted = false,
            bool directed = false) {
    for (int i = 0; i < M; i++) {
      int a, b;
      cin >> a >> b;
      a += padding;
      b += padding;
      T c = T(1);
      if (weighted) cin >> c;
      if (directed)
        add_directed_edge(a, b, c);
      else
        add_edge(a, b, c);
    }
  }

  inline vector<Edge<T> > &operator[](const int &k) { return g[k]; }

  inline const vector<Edge<T> > &operator[](const int &k) const { return g[k]; }
};

template <typename T = int>
using Edges = vector<Edge<T> >;
#line 4 "graph/shortest-path/dijkstra-radix-heap.hpp"

/**
 * @brief Dijkstra-Radix-Heap(単一始点最短路)
 */
template <typename T>
vector<T> dijkstra_radix_heap(Graph<T> &g, int s) {
  const auto INF = numeric_limits<T>::max();
  vector<T> dist(g.size(), INF);

  RadixHeap<T, int> heap;
  dist[s] = 0;
  heap.push(dist[s], s);
  while (!heap.empty()) {
    T cost;
    int idx;
    tie(cost, idx) = heap.pop();
    if (dist[idx] < cost) continue;
    for (auto &e : g.g[idx]) {
      auto next_cost = cost + e.cost;
      if (dist[e.to] <= next_cost) continue;
      dist[e.to] = next_cost;
      heap.push(dist[e.to], e.to);
    }
  }
  return dist;
}
#line 8 "test/verify/aoj-grl-1-a-3.test.cpp"

int main() {
  int V, E, R;
  cin >> V >> E >> R;
  Graph< int > g(V);
  g.read(E, 0, true, true);
  for(auto &dist : dijkstra_radix_heap(g, R)) {
    if(dist == numeric_limits< int >::max()) cout << "INF\n";
    else cout << dist << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_00.in	AC	6 ms	4 MB
g++	00_sample_01.in	AC	6 ms	4 MB
g++	01_small_00.in	AC	6 ms	4 MB
g++	01_small_01.in	AC	6 ms	4 MB
g++	02_medium_00.in	AC	6 ms	4 MB
g++	02_medium_01.in	AC	6 ms	4 MB
g++	03_corner_00.in	AC	7 ms	4 MB
g++	03_corner_01.in	AC	7 ms	4 MB
g++	03_corner_02.in	AC	6 ms	4 MB
g++	03_corner_03.in	AC	6 ms	4 MB
g++	04_rand_00.in	AC	6 ms	4 MB
g++	04_rand_01.in	AC	6 ms	4 MB
g++	04_rand_02.in	AC	6 ms	4 MB
g++	04_rand_03.in	AC	6 ms	4 MB
g++	05_linear_00.in	AC	6 ms	4 MB
g++	05_linear_01.in	AC	6 ms	4 MB
g++	05_linear_02.in	AC	6 ms	4 MB
g++	05_linear_03.in	AC	6 ms	4 MB
g++	06_ring_00.in	AC	6 ms	4 MB
g++	06_ring_01.in	AC	6 ms	4 MB
g++	06_ring_02.in	AC	6 ms	4 MB
g++	06_ring_03.in	AC	6 ms	4 MB
g++	07_large_00.in	AC	6 ms	4 MB
g++	07_large_01.in	AC	6 ms	4 MB
g++	07_large_02.in	AC	7 ms	4 MB
g++	07_large_03.in	AC	8 ms	4 MB
g++	08_large_00.in	AC	9 ms	4 MB
g++	08_large_01.in	AC	9 ms	4 MB
g++	08_large_02.in	AC	11 ms	4 MB
g++	08_large_03.in	AC	13 ms	5 MB
g++	09_maximum_00.in	AC	51 ms	10 MB
g++	09_maximum_01.in	AC	114 ms	19 MB
g++	09_maximum_02.in	AC	35 ms	9 MB
g++	09_maximum_03.in	AC	62 ms	12 MB
clang++	00_sample_00.in	AC	7 ms	4 MB
clang++	00_sample_01.in	AC	6 ms	4 MB
clang++	01_small_00.in	AC	6 ms	4 MB
clang++	01_small_01.in	AC	6 ms	4 MB
clang++	02_medium_00.in	AC	6 ms	4 MB
clang++	02_medium_01.in	AC	6 ms	4 MB
clang++	03_corner_00.in	AC	6 ms	4 MB
clang++	03_corner_01.in	AC	6 ms	4 MB
clang++	03_corner_02.in	AC	6 ms	4 MB
clang++	03_corner_03.in	AC	6 ms	4 MB
clang++	04_rand_00.in	AC	6 ms	4 MB
clang++	04_rand_01.in	AC	6 ms	4 MB
clang++	04_rand_02.in	AC	6 ms	4 MB
clang++	04_rand_03.in	AC	6 ms	4 MB
clang++	05_linear_00.in	AC	6 ms	4 MB
clang++	05_linear_01.in	AC	6 ms	4 MB
clang++	05_linear_02.in	AC	6 ms	4 MB
clang++	05_linear_03.in	AC	6 ms	4 MB
clang++	06_ring_00.in	AC	6 ms	4 MB
clang++	06_ring_01.in	AC	6 ms	4 MB
clang++	06_ring_02.in	AC	6 ms	4 MB
clang++	06_ring_03.in	AC	6 ms	4 MB
clang++	07_large_00.in	AC	6 ms	4 MB
clang++	07_large_01.in	AC	6 ms	4 MB
clang++	07_large_02.in	AC	7 ms	4 MB
clang++	07_large_03.in	AC	7 ms	4 MB
clang++	08_large_00.in	AC	9 ms	4 MB
clang++	08_large_01.in	AC	10 ms	4 MB
clang++	08_large_02.in	AC	10 ms	4 MB
clang++	08_large_03.in	AC	12 ms	5 MB
clang++	09_maximum_00.in	AC	51 ms	10 MB
clang++	09_maximum_01.in	AC	114 ms	19 MB
clang++	09_maximum_02.in	AC	34 ms	9 MB
clang++	09_maximum_03.in	AC	62 ms	12 MB

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