Skip to the content.

:heavy_check_mark: test/AOJ/GRL_1_C.test.cpp

Depends on

Code

#define PROBLEM                                                                \
    "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_C"
#include <bits/stdc++.h>

#include "library/graph/NegativeCycleFind.hpp"
#include "library/graph/WeightedGraph.hpp"
#include "library/graph/shortest_path/WarshallFloyd.hpp"

using ll = long long;

int main() {
    int n, m;
    std::cin >> n >> m;
    WeightedGraph<ll> g(n, m, true, 0);
    if (negative_cycle_find(g))
        std::cout << "NEGATIVE CYCLE\n";
    else {
        auto d = warshall_floyd(g);
        for (int i = 0; i < n; i++)
            for (int j = 0; j < n; j++)
                if (d[i][j] < 1e10)
                    std::cout << d[i][j] << "\n "[j + 1 < n];
                else
                    std::cout << "INF" << "\n "[j + 1 < n];
    }
}
#line 1 "test/AOJ/GRL_1_C.test.cpp"
#define PROBLEM                                                                \
    "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_C"
#include <bits/stdc++.h>

#line 1 "library/graph/NegativeCycleFind.hpp"
// グラフ内に負閉路が存在するか
template<typename WG>
bool negative_cycle_find(const WG&g){
  using W=typename WG::weight_type;
  int n=g.n;
  std::vector<W> d(n,0);
  while(n--){
    bool update=false;
    for(const auto&e:g.edges)
      if(d[e.to]>d[e.from]+e.weight){
        d[e.to]=d[e.from]+e.weight;
        update=true;
      }
    if(!update)return false;
  }
  return true;
}
#line 2 "library/graph/WeightedGraph.hpp"
template <typename T> struct WeightedEdge {
    WeightedEdge() = default;
    WeightedEdge(int from, int to, T weight)
        : from(from), to(to), weight(weight) {}
    int from, to;
    T weight;
    operator int() const { return to; }
};

template <typename T> struct WeightedGraph {
    int n;
    using weight_type = T;
    using edge_type = WeightedEdge<T>;
    std::vector<edge_type> edges;

  protected:
    std::vector<int> in_deg;
    bool prepared;
    class OutgoingEdges {
        WeightedGraph *g;
        int l, r;

      public:
        OutgoingEdges(WeightedGraph *g, int l, int r) : g(g), l(l), r(r) {}
        edge_type *begin() { return &(g->edges[l]); }
        edge_type *end() { return &(g->edges[r]); }
        edge_type &operator[](int i) { return g->edges[l + i]; }
        int size() const { return r - l; }
    };
    class ConstOutgoingEdges {
        const WeightedGraph *g;
        int l, r;

      public:
        ConstOutgoingEdges(const WeightedGraph *g, int l, int r)
            : g(g), l(l), r(r) {}
        const edge_type *begin() const { return &(g->edges[l]); }
        const edge_type *end() const { return &(g->edges[r]); }
        const edge_type &operator[](int i) const { return g->edges[l + i]; }
        int size() const { return r - l; }
    };

  public:
    OutgoingEdges operator[](int v) {
        assert(prepared);
        return {this, in_deg[v], in_deg[v + 1]};
    }
    const ConstOutgoingEdges operator[](int v) const {
        assert(prepared);
        return {this, in_deg[v], in_deg[v + 1]};
    }

    bool is_prepared() const { return prepared; }

    WeightedGraph() : n(0), in_deg(1, 0), prepared(false) {}
    WeightedGraph(int n) : n(n), in_deg(n + 1, 0), prepared(false) {}
    WeightedGraph(int n, int m, bool directed = false, int indexed = 1)
        : n(n), in_deg(n + 1, 0), prepared(false) {
        scan(m, directed, indexed);
    }

    void resize(int n) { n = n; }

    void add_arc(int from, int to, T weight) {
        assert(!prepared);
        assert(0 <= from and from < n and 0 <= to and to < n);
        edges.emplace_back(from, to, weight);
        in_deg[from + 1]++;
    }
    void add_edge(int u, int v, T weight) {
        add_arc(u, v, weight);
        add_arc(v, u, weight);
    }
    void add_arc(const edge_type &e) { add_arc(e.from, e.to, e.weight); }
    void add_edge(const edge_type &e) { add_edge(e.from, e.to, e.weight); }

    void scan(int m, bool directed = false, int indexed = 1) {
        edges.reserve(directed ? m : 2 * m);
        while (m--) {
            int u, v;
            std::cin >> u >> v;
            u -= indexed;
            v -= indexed;
            T weight;
            std::cin >> weight;
            if (directed)
                add_arc(u, v, weight);
            else
                add_edge(u, v, weight);
        }
        build();
    }

    void build() {
        assert(!prepared);
        prepared = true;
        for (int v = 0; v < n; v++)
            in_deg[v + 1] += in_deg[v];
        std::vector<edge_type> new_edges(in_deg.back());
        auto counter = in_deg;
        for (auto &&e : edges)
            new_edges[counter[e.from]++] = e;
        edges = new_edges;
    }

    void graph_debug() const {
#ifndef __DEBUG
        return;
#endif
        assert(prepared);
        for (int from = 0; from < n; from++) {
            std::cerr << from << ";";
            for (int i = in_deg[from]; i < in_deg[from + 1]; i++)
                std::cerr << "(" << edges[i].to << "," << edges[i].weight
                          << ")";
            std::cerr << "\n";
        }
    }
};
#line 1 "library/graph/shortest_path/WarshallFloyd.hpp"
template <typename WG, typename T = typename WG::weight_type>
std::vector<std::vector<T>> warshall_floyd(const WG &g) {
    int n = g.n;
    static constexpr T INF = std::numeric_limits<T>::max() / 2;
    std::vector d(n, std::vector<T>(n, INF));
    for (int i = 0; i < n; i++)
        d[i][i] = 0;
    for (const auto &e : g.edges)
        if (d[e.from][e.to] > e.weight)
            d[e.from][e.to] = e.weight;
    for (int k = 0; k < n; k++)
        for (int i = 0; i < n; i++)
            if (d[i][k] < INF)
                for (int j = 0; j < n; j++)
                    if (d[k][j] < INF)
                        if (d[i][j] > d[i][k] + d[k][j])
                            d[i][j] = d[i][k] + d[k][j];
    return d;
}
#line 8 "test/AOJ/GRL_1_C.test.cpp"

using ll = long long;

int main() {
    int n, m;
    std::cin >> n >> m;
    WeightedGraph<ll> g(n, m, true, 0);
    if (negative_cycle_find(g))
        std::cout << "NEGATIVE CYCLE\n";
    else {
        auto d = warshall_floyd(g);
        for (int i = 0; i < n; i++)
            for (int j = 0; j < n; j++)
                if (d[i][j] < 1e10)
                    std::cout << d[i][j] << "\n "[j + 1 < n];
                else
                    std::cout << "INF" << "\n "[j + 1 < n];
    }
}
Back to top page