rcpl

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:heavy_check_mark: verify/graph/dijkstra_2.test.cpp

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/shortest_path"

#include <iostream>

#include "graph/dijkstra.hpp"
#include "graph/read_graph.hpp"
#include "graph/restore_path.hpp"

int main() {
    int N, M, s, t;
    std::cin >> N >> M >> s >> t;
    auto g = read_graph<long long>(N, M, true, true, 0);
    std::vector<int> ss = {s};
    const long long INF = 1LL << 60;
    auto [d, p, r] = dijkstra(g, ss, INF);
    if (d[t] == INF) {
        std::cout << -1 << '\n';
        return 0;
    }
    auto ans = restore_path(p, t);
    std::cout << d[t] << ' ' << ans.size() - 1 << '\n';
    for (int i = 0; i < ans.size() - 1; i++) std::cout << ans[i] << ' ' << ans[i + 1] << '\n';
    return 0;
}
#line 1 "verify/graph/dijkstra_2.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/shortest_path"

#include <iostream>

#line 2 "graph/dijkstra.hpp"

#line 2 "graph/graph_template.hpp"

#include <vector>
#include <cassert>

template <class T> struct Edge {
    int from, to;
    T cost;
    int id;

    Edge() = default;
    Edge(const int from, const int to, const T cost = T(1), const int id = -1) : from(from), to(to), cost(cost), id(id) {}

    friend bool operator<(const Edge<T>& a, const Edge<T>& b) { return a.cost < b.cost; }

    friend std::ostream& operator<<(std::ostream& os, const Edge<T>& e) {
        // output format: {id: cost(from, to) = cost}
        return os << "{" << e.id << ": cost(" << e.from << ", " << e.to << ") = " << e.cost << "}";
    }
};
template <class T> using Edges = std::vector<Edge<T>>;

template <class T> struct Graph {
    struct EdgeIterators {
       public:
        using Iterator = typename std::vector<Edge<T>>::iterator;
        EdgeIterators() = default;
        EdgeIterators(const Iterator& begit, const Iterator& endit) : begit(begit), endit(endit) {}
        Iterator begin() const { return begit; }
        Iterator end() const { return endit; }
        size_t size() const { return std::distance(begit, endit); }
        Edge<T>& operator[](int i) const { return begit[i]; }

       private:
        Iterator begit, endit;
    };

    int n, m;
    bool is_build, is_directed;
    std::vector<Edge<T>> edges;

    // CSR (Compressed Row Storage) 形式用
    std::vector<int> start;
    std::vector<Edge<T>> csr_edges;

    Graph() = default;
    Graph(const int n, const bool directed = false) : n(n), m(0), is_build(false), is_directed(directed), start(n + 1, 0) {}

    // 辺を追加し, その辺が何番目に追加されたかを返す
    int add_edge(const int from, const int to, const T cost = T(1), int id = -1) {
        assert(!is_build);
        assert(0 <= from and from < n);
        assert(0 <= to and to < n);
        if (id == -1) id = m;
        edges.emplace_back(from, to, cost, id);
        return m++;
    }

    // CSR 形式でグラフを構築
    void build() {
        assert(!is_build);
        for (auto&& e : edges) {
            start[e.from + 1]++;
            if (!is_directed) start[e.to + 1]++;
        }
        for (int v = 0; v < n; v++) start[v + 1] += start[v];
        auto counter = start;
        csr_edges.resize(start.back() + 1);
        for (auto&& e : edges) {
            csr_edges[counter[e.from]++] = e;
            if (!is_directed) csr_edges[counter[e.to]++] = Edge(e.to, e.from, e.cost, e.id);
        }
        is_build = true;
    }

    EdgeIterators operator[](int i) {
        if (!is_build) build();
        return EdgeIterators(csr_edges.begin() + start[i], csr_edges.begin() + start[i + 1]);
    }

    size_t size() const { return (size_t)(n); }

    friend std::ostream& operator<<(std::ostream& os, Graph<T>& g) {
        os << "[";
        for (int i = 0; i < (int)(g.size()); i++) {
            os << "[";
            for (int j = 0; j < (int)(g[i].size()); j++) {
                os << g[i][j];
                if (j + 1 != (int)(g[i].size())) os << ", ";
            }
            os << "]";
            if (i + 1 != (int)(g.size())) os << ", ";
        }
        return os << "]";
    }
};
#line 4 "graph/dijkstra.hpp"

#include <tuple>
#include <queue>

template <class T> std::tuple<std::vector<T>, std::vector<int>, std::vector<int>> dijkstra(Graph<T>& g, std::vector<int>& s, const T inf) {
    const int n = (int)(g.size());
    std::vector<T> dist(n, inf);
    std::vector<int> par(n, -1), root(n, -1);

    std::priority_queue<std::pair<T, int>, std::vector<std::pair<T, int>>, std::greater<>> que;

    for (auto&& v : s) {
        dist[v] = 0;
        root[v] = v;
        que.emplace(T(0), v);
    }

    while (!que.empty()) {
        auto [d, v] = que.top();
        que.pop();
        if (dist[v] != d) continue;  // dist[v] < d
        for (auto&& e : g[v]) {
            if (dist[e.to] > d + e.cost) {
                dist[e.to] = d + e.cost;
                root[e.to] = root[v];
                par[e.to] = v;
                que.emplace(dist[e.to], e.to);
            }
        }
    }
    return {dist, par, root};
}
#line 2 "graph/read_graph.hpp"

#line 4 "graph/read_graph.hpp"

template <class T> Graph<T> read_graph(const int n, const int m, const bool weight = false, const bool directed = false, const int offset = 1) {
    Graph<T> g(n, directed);
    for (int i = 0; i < m; i++) {
        int a, b;
        std::cin >> a >> b;
        a -= offset, b -= offset;
        T c = 1;
        if (weight) std::cin >> c;
        g.add_edge(a, b, c);
    }
    g.build();
    return g;
}

template <class T> Graph<T> read_parent(const int n, const bool weight = false, const bool directed = false, const int offset = 1) {
    Graph<T> g(n, directed);
    for (int i = 1; i < n; i++) {
        int p;
        std::cin >> p;
        p -= offset;
        T c = 1;
        if (weight) std::cin >> c;
        g.add_edge(p, i, c);
    }
    g.build();
    return g;
}
#line 2 "graph/restore_path.hpp"

#line 4 "graph/restore_path.hpp"
#include <algorithm>

// restore path from root[t] to t
std::vector<int> restore_path(std::vector<int>& par, int t) {
    std::vector<int> path = {t};
    while (par[path.back()] != -1) path.emplace_back(par[path.back()]);
    std::reverse(path.begin(), path.end());
    return path;
}
#line 8 "verify/graph/dijkstra_2.test.cpp"

int main() {
    int N, M, s, t;
    std::cin >> N >> M >> s >> t;
    auto g = read_graph<long long>(N, M, true, true, 0);
    std::vector<int> ss = {s};
    const long long INF = 1LL << 60;
    auto [d, p, r] = dijkstra(g, ss, INF);
    if (d[t] == INF) {
        std::cout << -1 << '\n';
        return 0;
    }
    auto ans = restore_path(p, t);
    std::cout << d[t] << ' ' << ans.size() - 1 << '\n';
    for (int i = 0; i < ans.size() - 1; i++) std::cout << ans[i] << ' ' << ans[i + 1] << '\n';
    return 0;
}
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