結果

問題 No.1473 おでぶなおばけさん
ユーザー kuhakukuhaku
提出日時 2023-09-14 09:01:33
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 97 ms / 2,000 ms
コード長 11,320 bytes
コンパイル時間 3,645 ms
コンパイル使用メモリ 238,436 KB
実行使用メモリ 10,972 KB
最終ジャッジ日時 2023-09-14 09:01:45
合計ジャッジ時間 9,508 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,380 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 61 ms
10,384 KB
testcase_03 AC 46 ms
8,640 KB
testcase_04 AC 33 ms
7,216 KB
testcase_05 AC 13 ms
4,500 KB
testcase_06 AC 50 ms
8,776 KB
testcase_07 AC 63 ms
10,960 KB
testcase_08 AC 64 ms
10,900 KB
testcase_09 AC 64 ms
10,972 KB
testcase_10 AC 36 ms
4,424 KB
testcase_11 AC 36 ms
4,400 KB
testcase_12 AC 36 ms
4,376 KB
testcase_13 AC 24 ms
4,376 KB
testcase_14 AC 17 ms
4,376 KB
testcase_15 AC 33 ms
4,376 KB
testcase_16 AC 35 ms
4,384 KB
testcase_17 AC 4 ms
4,380 KB
testcase_18 AC 5 ms
4,376 KB
testcase_19 AC 29 ms
4,828 KB
testcase_20 AC 38 ms
8,248 KB
testcase_21 AC 42 ms
6,160 KB
testcase_22 AC 56 ms
9,644 KB
testcase_23 AC 38 ms
8,804 KB
testcase_24 AC 37 ms
8,524 KB
testcase_25 AC 50 ms
9,328 KB
testcase_26 AC 57 ms
9,440 KB
testcase_27 AC 20 ms
5,108 KB
testcase_28 AC 56 ms
10,636 KB
testcase_29 AC 35 ms
6,424 KB
testcase_30 AC 43 ms
7,052 KB
testcase_31 AC 97 ms
10,760 KB
testcase_32 AC 44 ms
8,676 KB
testcase_33 AC 40 ms
7,796 KB
testcase_34 AC 22 ms
5,872 KB
testcase_35 AC 21 ms
5,088 KB
testcase_36 AC 39 ms
7,268 KB
testcase_37 AC 43 ms
8,520 KB
testcase_38 AC 9 ms
4,376 KB
testcase_39 AC 36 ms
4,376 KB
testcase_40 AC 36 ms
4,384 KB
testcase_41 AC 34 ms
4,376 KB
testcase_42 AC 34 ms
4,380 KB
testcase_43 AC 38 ms
7,992 KB
testcase_44 AC 37 ms
7,992 KB
testcase_45 AC 38 ms
8,008 KB
testcase_46 AC 49 ms
8,356 KB
testcase_47 AC 61 ms
9,324 KB
testcase_48 AC 55 ms
8,852 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#line 1 "a.cpp"
#define PROBLEM ""
#line 2 "/home/kuhaku/atcoder/github/algo/lib/template/template.hpp"
#pragma GCC target("sse4.2,avx2,bmi2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
template <class T, class U>
bool chmax(T &a, const U &b) {
    return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
bool chmin(T &a, const U &b) {
    return (T)b < a ? a = (T)b, true : false;
}
constexpr std::int64_t INF = 1000000000000000003;
constexpr int Inf = 1000000003;
constexpr int MOD = 1000000007;
constexpr int MOD_N = 998244353;
constexpr double EPS = 1e-7;
constexpr double PI = M_PI;
#line 3 "/home/kuhaku/atcoder/github/algo/lib/graph/graph.hpp"

/**
 * @brief 重み付きグラフ
 *
 * @tparam T 辺の重みの型
 */
template <class T>
struct Graph {
  private:
    struct _edge {
        constexpr _edge() : _from(), _to(), _weight() {}
        constexpr _edge(int from, int to, T weight) : _from(from), _to(to), _weight(weight) {}
        constexpr bool operator<(const _edge &rhs) const { return this->weight() < rhs.weight(); }
        constexpr bool operator>(const _edge &rhs) const { return rhs < *this; }

        constexpr int from() const { return this->_from; }
        constexpr int to() const { return this->_to; }
        constexpr T weight() const { return this->_weight; }

      private:
        int _from, _to;
        T _weight;
    };

  public:
    using edge_type = typename Graph<T>::_edge;

    Graph() : _size(), edges() {}
    Graph(int v) : _size(v), edges(v) {}

    const auto &operator[](int i) const { return this->edges[i]; }
    auto &operator[](int i) { return this->edges[i]; }
    const auto begin() const { return this->edges.begin(); }
    auto begin() { return this->edges.begin(); }
    const auto end() const { return this->edges.end(); }
    auto end() { return this->edges.end(); }
    constexpr int size() const { return this->_size; }

    void add_edge(const edge_type &e) { this->edges[e.from()].emplace_back(e); }
    void add_edge(int from, int to, T weight = T(1)) {
        this->edges[from].emplace_back(from, to, weight);
    }
    void add_edges(int from, int to, T weight = T(1)) {
        this->edges[from].emplace_back(from, to, weight);
        this->edges[to].emplace_back(to, from, weight);
    }

    void input_edge(int m, int base = 1) {
        for (int i = 0; i < m; ++i) {
            int from, to;
            T weight;
            std::cin >> from >> to >> weight;
            this->add_edge(from - base, to - base, weight);
        }
    }
    void input_edges(int m, int base = 1) {
        for (int i = 0; i < m; ++i) {
            int from, to;
            T weight;
            std::cin >> from >> to >> weight;
            this->add_edges(from - base, to - base, weight);
        }
    }

  private:
    int _size;
    std::vector<std::vector<edge_type>> edges;
};

template <>
struct Graph<void> {
  private:
    struct _edge {
        constexpr _edge() : _from(), _to() {}
        constexpr _edge(int from, int to) : _from(from), _to(to) {}

        constexpr int from() const { return this->_from; }
        constexpr int to() const { return this->_to; }
        constexpr int weight() const { return 1; }
        constexpr bool operator<(const _edge &rhs) const { return this->weight() < rhs.weight(); }
        constexpr bool operator>(const _edge &rhs) const { return rhs < *this; }

      private:
        int _from, _to;
    };

  public:
    using edge_type = typename Graph<void>::_edge;

    Graph() : _size(), edges() {}
    Graph(int v) : _size(v), edges(v) {}

    const auto &operator[](int i) const { return this->edges[i]; }
    auto &operator[](int i) { return this->edges[i]; }
    const auto begin() const { return this->edges.begin(); }
    auto begin() { return this->edges.begin(); }
    const auto end() const { return this->edges.end(); }
    auto end() { return this->edges.end(); }
    constexpr int size() const { return this->_size; }

    void add_edge(const edge_type &e) { this->edges[e.from()].emplace_back(e); }
    void add_edge(int from, int to) { this->edges[from].emplace_back(from, to); }
    void add_edges(int from, int to) {
        this->edges[from].emplace_back(from, to);
        this->edges[to].emplace_back(to, from);
    }

    void input_edge(int m, int base = 1) {
        for (int i = 0; i < m; ++i) {
            int from, to;
            std::cin >> from >> to;
            this->add_edge(from - base, to - base);
        }
    }
    void input_edges(int m, int base = 1) {
        for (int i = 0; i < m; ++i) {
            int from, to;
            std::cin >> from >> to;
            this->add_edges(from - base, to - base);
        }
    }

  private:
    int _size;
    std::vector<std::vector<edge_type>> edges;
};
#line 4 "/home/kuhaku/atcoder/github/algo/lib/graph/dijkstra.hpp"

/**
 * @brief ダイクストラ法
 *
 * @tparam T 辺の重みの型
 * @param g グラフ
 * @param s 始点
 * @param inf 正の無限表現
 * @retval std::vector<T> 各頂点までの最短距離
 */
template <class T>
std::vector<T> dijkstra(const Graph<T> &g, int s = 0, T inf = std::numeric_limits<T>::max()) {
    struct _node {
        constexpr _node() : _to(), _dist() {}
        constexpr _node(int to, T dist) : _to(to), _dist(dist) {}
        constexpr bool operator<(const _node &rhs) const { return this->dist() < rhs.dist(); }
        constexpr bool operator>(const _node &rhs) const { return rhs < *this; }

        constexpr int to() const { return this->_to; }
        constexpr T dist() const { return this->_dist; }

      private:
        int _to;
        T _dist;
    };
    std::vector<T> dists(g.size(), inf);
    std::priority_queue<_node, std::vector<_node>, std::greater<>> p_que;
    dists[s] = T();
    p_que.emplace(s, T());
    while (!p_que.empty()) {
        auto node = p_que.top();
        p_que.pop();
        if (dists[node.to()] < node.dist()) continue;
        for (auto &e : g[node.to()]) {
            if (chmin(dists[e.to()], node.dist() + e.weight()))
                p_que.emplace(e.to(), node.dist() + e.weight());
        }
    }
    return dists;
}

std::vector<int> dijkstra(const Graph<void> &g, int s = 0,
                          int inf = std::numeric_limits<int>::max()) {
    std::vector<int> dists(g.size(), inf);
    std::queue<int> que;
    dists[s] = 0;
    que.emplace(s);
    while (!que.empty()) {
        auto index = que.front();
        que.pop();
        for (auto &e : g[index]) {
            if (chmin(dists[e.to()], dists[index] + 1)) que.emplace(e.to());
        }
    }
    return dists;
}
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/macro.hpp"
#define FOR(i, m, n) for (int i = (m); i < int(n); ++i)
#define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i)
#define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i)
#define rep(i, n) FOR (i, 0, n)
#define repn(i, n) FOR (i, 1, n + 1)
#define repr(i, n) FORR (i, n, 0)
#define repnr(i, n) FORR (i, n + 1, 1)
#define all(s) (s).begin(), (s).end()
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/sonic.hpp"
struct Sonic {
    Sonic() {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
    }

    constexpr void operator()() const {}
} sonic;
#line 5 "/home/kuhaku/atcoder/github/algo/lib/template/atcoder.hpp"
using namespace std;
using ll = std::int64_t;
using ld = long double;
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
    return is >> p.first >> p.second;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
    for (T &i : v) is >> i;
    return is;
}
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
    return os << '(' << p.first << ',' << p.second << ')';
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
    for (auto it = v.begin(); it != v.end(); ++it) {
        os << (it == v.begin() ? "" : " ") << *it;
    }
    return os;
}
template <class Head, class... Tail>
void co(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cout << head << '\n';
    else std::cout << head << ' ', co(std::forward<Tail>(tail)...);
}
template <class Head, class... Tail>
void ce(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n';
    else std::cerr << head << ' ', ce(std::forward<Tail>(tail)...);
}
template <typename T, typename... Args>
auto make_vector(T x, int arg, Args... args) {
    if constexpr (sizeof...(args) == 0) return std::vector<T>(arg, x);
    else return std::vector(arg, make_vector<T>(x, args...));
}
void setp(int n) {
    std::cout << std::fixed << std::setprecision(n);
}
void Yes(bool is_correct = true) {
    std::cout << (is_correct ? "Yes" : "No") << '\n';
}
void No(bool is_not_correct = true) {
    Yes(!is_not_correct);
}
void YES(bool is_correct = true) {
    std::cout << (is_correct ? "YES" : "NO") << '\n';
}
void NO(bool is_not_correct = true) {
    YES(!is_not_correct);
}
void Takahashi(bool is_correct = true) {
    std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n';
}
void Aoki(bool is_not_correct = true) {
    Takahashi(!is_not_correct);
}
#line 2 "/home/kuhaku/atcoder/github/algo/lib/tree/union_find.hpp"

/**
 * @brief 素集合データ構造
 * @details Implement (union by size) + (path compression)
 * @see https://github.com/atcoder/ac-library/blob/master/atcoder/dsu.hpp
 */
struct union_find {
    union_find() : data() {}
    union_find(int _n) : data(_n, -1) {}

    int root(int x) { return this->data[x] < 0 ? x : this->data[x] = this->root(this->data[x]); }
    int get_root(int x) { return this->root(x); }

    bool is_root(int x) const { return this->data[x] < 0; }

    bool same(int x, int y) { return this->root(x) == this->root(y); }
    bool is_same(int x, int y) { return this->same(x, y); }

    int size(int x) { return -(this->data[this->root(x)]); }
    int get_size(int x) { return this->size(x); }

    bool unite(int x, int y) {
        x = this->root(x), y = this->root(y);
        if (x == y) return false;
        if (this->data[x] > this->data[y]) std::swap(x, y);
        this->data[x] += this->data[y];
        this->data[y] = x;
        return true;
    }

    template <class F>
    bool unite(int x, int y, F f) {
        x = this->root(x), y = this->root(y);
        if (x != y) {
            if (this->data[x] > this->data[y]) std::swap(x, y);
            this->data[x] += this->data[y];
            this->data[y] = x;
        }
        f(x, y);
        return x != y;
    }

  private:
    std::vector<int> data;
};
#line 5 "a.cpp"

int main(void) {
    int n, m;
    cin >> n >> m;
    vector<tuple<int, int, int>> e(m);
    for (auto &[a, b, c] : e) cin >> a >> b >> c, --a, --b;
    sort(all(e), [](auto l, auto r) {
        return get<2>(l) > get<2>(r);
    });

    ll x = 0;
    union_find uf(n);
    Graph<void> g(n);
    rep (i, m) {
        auto [a, b, c] = e[i];
        if (uf.same(0, n - 1)) {
            if (c >= x)
                g.add_edges(a, b);
        } else {
            x = c;
            uf.unite(a, b);
            g.add_edges(a, b);
        }
    }
    co(x, dijkstra(g)[n - 1]);

    return 0;
}
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