結果

問題 No.1599 Hikyaku
ユーザー 👑 NachiaNachia
提出日時 2022-01-31 00:28:37
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,169 ms / 7,500 ms
コード長 6,563 bytes
コンパイル時間 1,579 ms
コンパイル使用メモリ 97,264 KB
実行使用メモリ 59,924 KB
最終ジャッジ日時 2023-09-02 01:56:31
合計ジャッジ時間 37,216 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
このコードへのチャレンジ（β）

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 147 ms
52,900 KB
testcase_01 AC 183 ms
53,864 KB
testcase_02 AC 191 ms
53,956 KB
testcase_03 AC 158 ms
57,124 KB
testcase_04 AC 1,062 ms
50,316 KB
testcase_05 AC 361 ms
50,272 KB
testcase_06 AC 940 ms
50,324 KB
testcase_07 AC 377 ms
50,328 KB
testcase_08 AC 1,096 ms
50,552 KB
testcase_09 AC 273 ms
49,676 KB
testcase_10 AC 340 ms
49,596 KB
testcase_11 AC 217 ms
49,616 KB
testcase_12 AC 323 ms
58,676 KB
testcase_13 AC 252 ms
54,428 KB
testcase_14 AC 120 ms
54,436 KB
testcase_15 AC 156 ms
52,848 KB
testcase_16 AC 414 ms
55,760 KB
testcase_17 AC 1,074 ms
50,312 KB
testcase_18 AC 1,052 ms
50,316 KB
testcase_19 AC 1,133 ms
52,128 KB
testcase_20 AC 1,169 ms
52,152 KB
testcase_21 AC 1,127 ms
51,484 KB
testcase_22 AC 1,150 ms
51,368 KB
testcase_23 AC 1,085 ms
51,356 KB
testcase_24 AC 1,111 ms
51,364 KB
testcase_25 AC 1,120 ms
52,728 KB
testcase_26 AC 946 ms
59,924 KB
testcase_27 AC 615 ms
57,164 KB
testcase_28 AC 609 ms
57,088 KB
testcase_29 AC 445 ms
55,756 KB
testcase_30 AC 266 ms
54,420 KB
testcase_31 AC 149 ms
52,900 KB
testcase_32 AC 146 ms
52,796 KB
testcase_33 AC 155 ms
52,868 KB
testcase_34 AC 567 ms
57,128 KB
testcase_35 AC 825 ms
58,596 KB
testcase_36 AC 1,118 ms
50,292 KB
testcase_37 AC 1,047 ms
50,244 KB
testcase_38 AC 1,073 ms
50,396 KB
testcase_39 AC 1,038 ms
50,552 KB
testcase_40 AC 1,103 ms
51,092 KB
testcase_41 AC 102 ms
52,868 KB
testcase_42 AC 151 ms
52,852 KB
testcase_43 AC 100 ms
52,936 KB
testcase_44 AC 430 ms
55,688 KB
testcase_45 AC 430 ms
55,800 KB
testcase_46 AC 552 ms
57,020 KB
testcase_47 AC 552 ms
57,064 KB
testcase_48 AC 1,040 ms
49,476 KB
testcase_49 AC 149 ms
53,128 KB
testcase_50 AC 280 ms
54,668 KB
testcase_51 AC 423 ms
55,864 KB
testcase_52 AC 330 ms
50,492 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 # 


#include <vector>
#include <utility>

namespace nachia{
    
struct AdjacencyList{
public:
    struct AdjacencyListRange{
        using iterator = typename std::vector<int>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        const int& operator[](int i) const { return begi[i]; }
    };
private:
    int mn;
    std::vector<int> E;
    std::vector<int> I;
public:
    AdjacencyList(int n, std::vector<std::pair<int,int>> edges, bool rev){
        mn = n;
        std::vector<int> buf(n+1, 0);
        for(auto [u,v] : edges){ ++buf[u]; if(rev) ++buf[v]; }
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        E.resize(buf[n]);
        for(int i=(int)edges.size()-1; i>=0; i--){
            auto [u,v] = edges[i];
            E[--buf[u]] = v;
            if(rev) E[--buf[v]] = u;
        }
        I = std::move(buf);
    }
    AdjacencyList(const std::vector<std::vector<int>>& edges = {}){
        int n = mn = edges.size();
        std::vector<int> buf(n+1, 0);
        for(int i=0; i<n; i++) buf[i+1] = buf[i] + edges[i].size();
        E.resize(buf[n]);
        for(int i=0; i<n; i++) for(int j=0; j<(int)edges[i].size(); j++) E[buf[i]+j] = edges[i][j];
        I = std::move(buf);
    }
    AdjacencyListRange operator[](int u) const {
        return AdjacencyListRange{ E.begin() + I[u], E.begin() + I[u+1] };
    }
    int num_vertices() const { return mn; }
    int num_edges() const { return E.size(); }
    AdjacencyList reversed_edges() const {
        AdjacencyList res;
        int n = res.mn = mn;
        std::vector<int> buf(n+1, 0);
        for(int v : E) ++buf[v];
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.E.resize(buf[n]);
        for(int u=0; u<n; u++) for(int v : operator[](u)) res.E[--buf[v]] = u;
        res.I = std::move(buf);
        return res;
    }
};

struct AdjacencyListEdgeIndexed{
public:
    struct Edge { int to; int edgeidx; };
    struct AdjacencyListRange{
        using iterator = typename std::vector<Edge>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        const Edge& operator[](int i) const { return begi[i]; }
    };
private:
    int mn;
    std::vector<Edge> E;
    std::vector<int> I;
public:
    AdjacencyListEdgeIndexed(int n, const std::vector<std::pair<int,int>>& edges, bool rev){
        mn = n;
        std::vector<int> buf(n+1, 0);
        for(auto [u,v] : edges){ ++buf[u]; if(rev) ++buf[v]; }
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        E.resize(buf[n]);
        for(int i=(int)edges.size()-1; i>=0; i--){
            auto [u,v] = edges[i];
            E[--buf[u]] = { v, i };
            if(rev) E[--buf[v]] = { u, i };
        }
        I = std::move(buf);
    }
    AdjacencyListEdgeIndexed() : AdjacencyListEdgeIndexed(0, {}, false) {}
    AdjacencyListRange operator[](int u) const {
        return AdjacencyListRange{ E.begin() + I[u], E.begin() + I[u+1] };
    }
    int num_vertices() const { return mn; }
    int num_edges() const { return E.size(); }
    AdjacencyListEdgeIndexed reversed_edges() const {
        AdjacencyListEdgeIndexed res;
        int n = res.mn = mn;
        std::vector<int> buf(n+1, 0);
        for(auto [v,i] : E) ++buf[v];
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.E.resize(buf[n]);
        for(int u=0; u<n; u++) for(auto [v,i] : operator[](u)) res.E[--buf[v]] = {u,i};
        res.I = std::move(buf);
        return res;
    }
};

} // namespace nachia

#include <iostream>
#include <queue>
using namespace std;
using ll = long long;
using ull = unsigned long long;
#define rep(i,n) for(int i=0; i<(n); i++)

template<class T>
using nega_queue = priority_queue<T,vector<T>,greater<T>>;

const int INF = 1001001001;

const int W = 600;
const int H = 600;
const int NV = W * H; // number of vertices
const int maxV = 7;

struct Start{ int id,v; };

int pos2id(int y,int x){ return y * W + x; }

int X,Y;
int N;
vector<Start> hikyaku;
double dt[maxV];
double V[maxV];
double T[maxV][NV];
nachia::AdjacencyList E;

double D[maxV][NV];

int main(){
  cin >> X >> Y; X--; Y--;
  cin >> N;

  {
    vector<pair<int,int>> edges;
    rep(y,H) rep(x,W-1) edges.push_back({ pos2id(y,x), pos2id(y,x+1) });
    rep(y,H-1) rep(x,W) edges.push_back({ pos2id(y,x), pos2id(y+1,x) });
    E = nachia::AdjacencyList(NV, edges, true);
  }

  hikyaku.resize(N);
  rep(i,N){
    int x,y,v; cin >> x >> y >> v;
    x--; y--; v--;
    hikyaku[i] = { pos2id(y,x),v };
  }

  rep(v,maxV) V[v] = 1+v;
  rep(v,maxV) dt[v] = 1000.0 / (1+v);
  
  rep(v,maxV) rep(i,NV) T[v][i] = INF;

  {
    vector<vector<int>> I(maxV);
    for(auto a : hikyaku){
      I[a.v].push_back(a.id);
      T[a.v][a.id] = 0;
    }
    rep(v,maxV){
      rep(i,I[v].size()){
        int p = I[v][i];
        for(int e : E[p]) if(T[v][e] >= INF - 1.0){
          T[v][e] = T[v][p] + dt[v];
          I[v].push_back(e);
        }
      }
    }
  }
  
  rep(v,maxV) rep(i,NV) D[v][i] = INF;

  nega_queue<pair<double,pair<int,int>>> Q;
  D[hikyaku[0].v][hikyaku[0].id] = 0.0;
  Q.push(make_pair(0.0,make_pair(hikyaku[0].v,hikyaku[0].id)));

  while(Q.size()){
    double d = Q.top().first;
    int v = Q.top().second.first;
    int p = Q.top().second.second;
    Q.pop();
    if(D[v][p] != d) continue;
    for(int nxv=v+1; nxv<maxV; nxv++) if(D[nxv][p] > max(T[nxv][p],d)){
      D[nxv][p] = max(T[nxv][p],d);
      Q.push(make_pair(D[nxv][p],make_pair(nxv,p)));
    }
    for(int e : E[p]){
      if(D[v][e] > d + dt[v]){
        D[v][e] = d + dt[v];
        Q.push(make_pair(D[v][e],make_pair(v,e)));
      }
      double nxd = dt[v];
      int pv = v;
      for(int nxv=v+1; nxv<maxV; nxv++){
        double t0 = d + nxd - max(d - dt[nxv], T[nxv][e]);
        if(t0 < 0) continue;
        t0 = min(t0,dt[pv]+dt[nxv]);
        double t = nxd - t0 * (V[nxv] - V[pv]) / (V[nxv] + V[pv]);
        nxd = t; pv = nxv;
        if(D[nxv][e] <= d+nxd) continue;
        D[nxv][e] = d+nxd;
        Q.push(make_pair(d+nxd,make_pair(nxv,e)));
      }
    }
  }

  double ans = INF;
  rep(v,maxV) ans = min(ans,D[v][pos2id(Y,X)]);
  cout.precision(10); cout << fixed;
  cout << ans << endl;
  return 0;
}

struct ios_do_not_sync{
  ios_do_not_sync(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
  }
} ios_do_not_sync_inst;
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