結果

問題 No.788 トラックの移動
コンテスト
ユーザー Pachicobue
提出日時 2019-02-19 00:27:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 458 ms / 2,000 ms
コード長 7,541 bytes
コンパイル時間 1,919 ms
コンパイル使用メモリ 210,380 KB
最終ジャッジ日時 2025-01-06 21:15:09
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 14
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 # 

#include <bits/stdc++.h>
//!===========================================================!//
//!  dP     dP                          dP                    !//
//!  88     88                          88                    !//
//!  88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b.  !//
//!  88     88  88ooood8 88'  `88 88'  `88 88ooood8 88'  `88  !//
//!  88     88  88.  ... 88.  .88 88.  .88 88.  ... 88        !//
//!  dP     dP  `88888P' `88888P8 `88888P8 `88888P' dP        !//
//!===========================================================!//
using ld = long double;
using ll = long long;
std::mt19937 mt{std::random_device{}()};
template <typename F>
constexpr F PI() { return 3.1415926535897932385; }
template <typename T, std::size_t N>
std::ostream& operator<<(std::ostream& os, const std::array<T, N>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename T, typename A>
std::ostream& operator<<(std::ostream& os, const std::deque<T, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename K, typename T, typename C, typename A>
std::ostream& operator<<(std::ostream& os, const std::multimap<K, T, C, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; }
    return (os << "]" << std::endl);
}
template <typename T, typename C, typename A>
std::ostream& operator<<(std::ostream& os, const std::multiset<T, C, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename K, typename T, typename C, typename A>
std::ostream& operator<<(std::ostream& os, const std::map<K, T, C, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; }
    return (os << "]" << std::endl);
}
template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& v) { return (os << "<" << v.first << "," << v.second << ">"); }
template <typename T, typename C, typename A>
std::ostream& operator<<(std::ostream& os, const std::set<T, C, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename K, typename T, typename H, typename P, typename A>
std::ostream& operator<<(std::ostream& os, const std::unordered_multimap<K, T, H, P, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; }
    return (os << "]" << std::endl);
}
template <typename T, typename H, typename P, typename A>
std::ostream& operator<<(std::ostream& os, const std::unordered_multiset<T, H, P, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename K, typename T, typename H, typename P, typename A>
std::ostream& operator<<(std::ostream& os, const std::unordered_map<K, T, H, P, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; }
    return (os << "]" << std::endl);
}
template <typename T, typename H, typename P, typename A>
std::ostream& operator<<(std::ostream& os, const std::unordered_set<T, H, P, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
template <typename T, typename A>
std::ostream& operator<<(std::ostream& os, const std::vector<T, A>& v)
{
    os << "[";
    for (const auto& e : v) { os << e << ","; }
    return (os << "]" << std::endl);
}
#define show(x) std::cerr << #x << " = " << (x) << std::endl
//!=======================================================================================!//
//!   a88888b.                     dP       .88888.                             dP        !//
//!  d8'   `88                     88      d8'   `88                            88        !//
//!  88        .d8888b. .d8888b. d8888P    88        88d888b. .d8888b. 88d888b. 88d888b.  !//
//!  88        88'  `88 Y8ooooo.   88      88   YP88 88'  `88 88'  `88 88'  `88 88'  `88  !//
//!  Y8.   .88 88.  .88       88   88      Y8.   .88 88       88.  .88 88.  .88 88    88  !//
//!   Y88888P' `88888P' `88888P'   dP       `88888'  dP       `88888P8 88Y888P' dP    dP  !//
//!                                                                    88                 !//
//!                                                                    dP                 !//
//!=======================================================================================!//
template <typename T>
struct CostGraph
{
    CostGraph(const std::size_t v) : V{v}, edge(v), rev_edge(v) {}
    struct Edge
    {
        Edge(const std::size_t from, const std::size_t to, const T cost) : from{from}, to{to}, cost{cost} {}
        const std::size_t from, to;
        const T cost;
        bool operator<(const Edge& e) const { return cost != e.cost ? cost < e.cost : to < e.to; }
    };
    void addEdge(const std::size_t from, const std::size_t to, const T cost) { edge[from].push_back(Edge{from, to, cost}), rev_edge[to].push_back(Edge(to, from, cost)); }
    const std::size_t V;
    std::vector<std::vector<Edge>> edge, rev_edge;
};
template <typename T>
constexpr T INF() { return std::numeric_limits<T>::max() / 4; }
//!==============================================================!//
//!  888888ba  oo oo dP                  dP                      !//
//!  88    `8b       88                  88                      !//
//!  88     88 dP dP 88  .dP  .d8888b. d8888P 88d888b. .d8888b.  !//
//!  88     88 88 88 88888"   Y8ooooo.   88   88'  `88 88'  `88  !//
//!  88    .8P 88 88 88  `8b.       88   88   88       88.  .88  !//
//!  8888888P  dP 88 dP   `YP `88888P'   dP   dP       `88888P8  !//
//!               88                                             !//
//!               dP                                             !//
//!==============================================================!//
template <typename T>
std::vector<T> Dijkstra(const CostGraph<T>& g, const std::size_t s)
{
    std::vector<T> d(g.V, INF<T>());
    using P = std::pair<T, std::size_t>;
    std::priority_queue<P, std::vector<P>, std::greater<P>> q;
    d[s] = 0, q.push({0, s});
    while (not q.empty()) {
        const T cost = q.top().first;
        const std::size_t v = q.top().second;
        q.pop();
        if (d[v] < cost) { continue; }
        for (const auto& e : g.edge[v]) {
            if (d[e.to] <= d[v] + e.cost) { continue; }
            d[e.to] = d[v] + e.cost, q.push({d[e.to], e.to});
        }
    }
    return d;
}
int main()
{
    int N, M, L;
    std::cin >> N >> M >> L, L--;
    CostGraph<ll> g(N);
    std::vector<ll> t(N);
    ll tsum = 0;
    for (int i = 0; i < N; i++) { std::cin >> t[i], tsum += t[i]; }
    for (int i = 0, a, b, c; i < M; i++) { std::cin >> a >> b >> c, a--, b--, g.addEdge(a, b, c), g.addEdge(b, a, c); }
    for (int i = 0; i < N; i++) {
        if (t[i] == tsum) { return std::cout << 0 << std::endl, 0; }
    }
    std::vector<std::vector<ll>> d(N, std::vector<ll>(N));
    for (int i = 0; i < N; i++) { d[i] = Dijkstra(g, i); }
    ll ans = INF<ll>();
    for (int i = 0; i < N; i++) {
        ll sum = 0;
        for (int j = 0; j < N; j++) { sum += 2 * d[i][j] * t[j]; }
        for (int j = 0; j < N; j++) {
            if (t[j] == 0) { continue; }
            ans = std::min(ans, sum + d[L][j] - d[i][j]);
        }
    }
    std::cout << ans << std::endl;
    return 0;
}
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