shortest-path/bfs01.hpp

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• Last update: 2022-08-22 19:46:43+09:00
• Include: #include "shortest-path/bfs01.hpp"

Depends on

• グラフテンプレート (graph/graph-template.hpp)

Verified with

• verify/verify-aoj-other/aoj-2945-01bfs.test.cpp
• verify/verify-aoj-other/aoj-3506.test.cpp

Code

#pragma once

#include "../graph/graph-template.hpp"

// unreachable -> -1
template <typename T>
vector<T> bfs01(WeightedGraph<T>& g, int start = 0) {
  int N = (int)g.size();
  vector<T> d(N, -1);
  vector<int> vis(N, 0);
  deque<int> Q;
  d[start] = 0;
  Q.push_back(start);
  while (!Q.empty()) {
    int cur = Q.front();
    Q.pop_front();
    if (vis[cur]) continue;
    vis[cur] = 1;
    for (auto& dst : g[cur]) {
      if (d[dst] != -1 and d[dst] <= d[cur] + dst.cost) continue;
      d[dst] = d[cur] + dst.cost;
      if (dst.cost == 0) {
        Q.push_front(dst);
      } else {
        Q.push_back(dst);
      }
    }
  }
  return d;
}

#line 2 "shortest-path/bfs01.hpp"

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

template <typename T>
struct edge {
  int src, to;
  T cost;

  edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {}
  edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {}

  edge &operator=(const int &x) {
    to = x;
    return *this;
  }

  operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;

// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
                      bool is_1origin = true) {
  UnweightedGraph g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    if (is_1origin) x--, y--;
    g[x].push_back(y);
    if (!is_directed) g[y].push_back(x);
  }
  return g;
}

// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
                        bool is_1origin = true) {
  WeightedGraph<T> g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    cin >> c;
    if (is_1origin) x--, y--;
    g[x].emplace_back(x, y, c);
    if (!is_directed) g[y].emplace_back(y, x, c);
  }
  return g;
}

// Input of Edges
template <typename T>
Edges<T> esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) {
  Edges<T> es;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    if (is_weighted)
      cin >> c;
    else
      c = 1;
    if (is_1origin) x--, y--;
    es.emplace_back(x, y, c);
  }
  return es;
}

// Input of Adjacency Matrix
template <typename T>
vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true,
                           bool is_directed = false, bool is_1origin = true) {
  vector<vector<T>> d(N, vector<T>(N, INF));
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    if (is_weighted)
      cin >> c;
    else
      c = 1;
    if (is_1origin) x--, y--;
    d[x][y] = c;
    if (!is_directed) d[y][x] = c;
  }
  return d;
}

/**
 * @brief グラフテンプレート
 * @docs docs/graph/graph-template.md
 */
#line 4 "shortest-path/bfs01.hpp"

// unreachable -> -1
template <typename T>
vector<T> bfs01(WeightedGraph<T>& g, int start = 0) {
  int N = (int)g.size();
  vector<T> d(N, -1);
  vector<int> vis(N, 0);
  deque<int> Q;
  d[start] = 0;
  Q.push_back(start);
  while (!Q.empty()) {
    int cur = Q.front();
    Q.pop_front();
    if (vis[cur]) continue;
    vis[cur] = 1;
    for (auto& dst : g[cur]) {
      if (d[dst] != -1 and d[dst] <= d[cur] + dst.cost) continue;
      d[dst] = d[cur] + dst.cost;
      if (dst.cost == 0) {
        Q.push_front(dst);
      } else {
        Q.push_back(dst);
      }
    }
  }
  return d;
}

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