結果

問題 No.1812 Uribo Road
ユーザー katskichkatskich
提出日時 2022-01-15 16:36:17
言語 C++17
(gcc 11.2.0 + boost 1.78.0)
結果
AC  
実行時間 199 ms / 5,000 ms
コード長 5,474 Byte
コンパイル時間 4,396 ms
使用メモリ 11,160 KB
最終ジャッジ日時 2022-01-15 16:36:25
合計ジャッジ時間 7,414 ms
ジャッジサーバーID
(参考情報)
judge12 / judge16
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
使用メモリ
testcase_00 AC 2 ms
4,852 KB
testcase_01 AC 2 ms
6,900 KB
testcase_02 AC 2 ms
6,896 KB
testcase_03 AC 11 ms
6,128 KB
testcase_04 AC 2 ms
4,852 KB
testcase_05 AC 2 ms
4,848 KB
testcase_06 AC 1 ms
4,848 KB
testcase_07 AC 3 ms
6,896 KB
testcase_08 AC 5 ms
4,848 KB
testcase_09 AC 7 ms
4,848 KB
testcase_10 AC 3 ms
4,852 KB
testcase_11 AC 4 ms
4,848 KB
testcase_12 AC 94 ms
10,472 KB
testcase_13 AC 54 ms
10,372 KB
testcase_14 AC 55 ms
10,444 KB
testcase_15 AC 53 ms
6,896 KB
testcase_16 AC 68 ms
7,364 KB
testcase_17 AC 172 ms
8,700 KB
testcase_18 AC 25 ms
6,796 KB
testcase_19 AC 191 ms
10,996 KB
testcase_20 AC 199 ms
11,160 KB
testcase_21 AC 170 ms
11,156 KB
testcase_22 AC 119 ms
11,088 KB
testcase_23 AC 6 ms
4,852 KB
testcase_24 AC 1 ms
4,848 KB
testcase_25 AC 15 ms
5,336 KB
testcase_26 AC 2 ms
6,896 KB
testcase_27 AC 19 ms
6,900 KB
testcase_28 AC 36 ms
6,040 KB
testcase_29 AC 1 ms
6,896 KB
testcase_30 AC 5 ms
4,848 KB
testcase_31 AC 95 ms
8,264 KB
testcase_32 AC 3 ms
4,852 KB
testcase_33 AC 65 ms
8,452 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 <atcoder/all>
using namespace atcoder;
#include <bits/stdc++.h>
#define all(a) (a.begin()),(a.end())
#define rall(a) (a.rbegin()),(a.rend())
using namespace std;
using ll=long long;
using ld=long double;
using pll=pair<ll,ll>;
template<class T>bool chmax(T &a, const T &b) {if(a<b) {a=b; return 1;} return 0;}
template<class T>bool chmin(T &a, const T &b) {if(b<a) {a=b; return 1;} return 0;}
istream& operator >> (istream& is, modint1000000007& x) { unsigned int t; is >> t; x=t; return is; }
istream& operator >> (istream& is, modint998244353& x) { unsigned int t; is >> t; x=t; return is; }
istream& operator >> (istream& is, modint& x) { unsigned int t; is >> t; x=t; return is; }
ostream& operator << (ostream& os, const modint1000000007& x) { os << x.val(); return os; }
ostream& operator << (ostream& os, const modint998244353& x) { os << x.val(); return os; }
ostream& operator << (ostream& os, const modint& x) { os << x.val(); return os; }
template<class T1, class T2>istream& operator >> (istream& is, pair<T1,T2>& p) { is >> p.first >> p.second; return is; }
template<class T1, class T2>ostream& operator << (ostream& os, const pair<T1,T2>& p) { os << p.first << " " << p.second; return os;}
template<class T>istream& operator >> (istream& is, vector<T>& v) { for(T& x:v) is >> x; return is; }
template<class T>ostream& operator << (ostream& os, const vector<T>& v) {for(int i=0;i<(int)v.size();i++) {os << v[i] << (i+1 == v.size() ? "":" ");} return os;}
template<class... A> void pt()      { std::cout << "\n"; }
template<class... A> void pt_rest() { std::cout << "\n"; }
template<class T, class... A> void pt_rest(const T& first, const A&... rest) { std::cout << " " << first; pt_rest(rest...); }
template<class T, class... A> void pt(const T& first, const A&... rest)      { std::cout << first; pt_rest(rest...); }
template<typename V, typename H> void resize(vector<V>& vec, const H head){ vec.resize(head); }
template<typename V, typename H, typename ... T> void resize(vector<V>& vec, const H& head, const T ... tail){ vec.resize(head); for(auto& v: vec) resize(v, tail...); }
template<typename V, typename T> void fill(V& x, const T& val){ x = val; }
template<typename V, typename T> void fill(vector<V>& vec, const T& val){ for(auto& v: vec) fill(v, val); }
template<typename H> void vin(istream& is, const int idx, vector<H>& head){ is >> head[idx]; }
template<typename H, typename ... T> void vin(istream& is, const int idx, vector<H>& head, T& ... tail){ vin(is >> head[idx], idx, tail...); }
template<typename H, typename ... T> void vin(istream& is, vector<H>& head, T& ... tail){ for(int i=0; i<(int)head.size(); i++) vin(is, i, head, tail...); }
template<typename H, typename ... T> void vin(vector<H>& head, T& ... tail){ vin(cin, head, tail...); }
map<ll,ll>divisor(ll n){map<ll,ll>res;for(ll i=1;i*i<=n;i++)if(n%i==0){res[i]++;res[n/i]++;}return res;}
map<ll,ll>factrization(ll n){map<ll,ll>res;for(ll i=2;i*i<=n;i++)while(n%i==0){res[i]++;n/=i;}if(n>1)res[n]++;return res;}
static const ll inf=1e18+7;
static const ld pi=acos(-1);
static const ld eps=1e-10;
using v1=vector<ll>;
using v2=vector<v1>;
using v3=vector<v2>;
using v4=vector<v3>;
using S=pll;
S op(S a,S b){return max(a,b);}
S e(){return {-inf,-inf};}

class Edge {
public:
  ll t,w;
  Edge(){}
  Edge(ll t,ll w): t(t),w(w){}
};

v1 dijkstra(ll s,vector<vector<Edge>>g) {
  ll n=g.size();
  v1 d(n,inf);
  priority_queue<pll,vector<pll>,greater<>>q;
  d[s]=0;
  q.push({0,s});
    
  while(q.size()){
    ll u=q.top().second;
    ll du=q.top().first;
    q.pop();
    if(d[u]<du) continue;
    for(ll i=0;i<g[u].size();i++){
      Edge e=g[u][i];
      if(chmin(d[e.t],du+e.w))q.push({du+e.w, e.t});
    }
  }
  return d;
}

int main(void) {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  
  ll N,M,K;cin>>N>>M>>K;
  vector<vector<Edge>>g(N);
  set<ll>s;
  for(ll i=0;i<K;i++){ll r;cin>>r;r--;s.insert(r);}
  
  v2 es;
  for(ll i=0;i<M;i++){
    ll a,b,c;cin>>a>>b>>c;a--;b--;
    if(a>b)swap(a,b);
    if(s.find(i)!=s.end())
      es.push_back({a,b,(ll)g[a].size(),(ll)g[b].size()});
    g[a].push_back({b,c});
    g[b].push_back({a,c});
  }
  
  v3 sd;resize(sd,K,2,N);
  v3 d;resize(d,K,2,N);
  for(ll i=0;i<K;i++){
    ll a=es[i][0],b=es[i][1];
    ll c=g[a][es[i][2]].w;
    
    d[i][0]=dijkstra(a,g);
    d[i][1]=dijkstra(b,g);
    
    g[a][es[i][2]].w=inf;
    g[b][es[i][3]].w=inf;
    sd[i][0]=dijkstra(a,g);
    sd[i][1]=dijkstra(b,g);
    g[a][es[i][2]].w=c;
    g[b][es[i][3]].w=c;
  }
  
  v3 dp;resize(dp,1<<K,K,2);fill(dp,inf);
  for(ll i=0;i<K;i++)for(ll j=0;j<2;j++){
    if(d[i][j][0]<sd[i][j][0]){
      dp[1<<i][i][j]=d[i][j][0];
    }else{
      ll w=g[es[i][j]][es[i][j+2]].w;
      ll cost=min(d[i][j][0]+w*2,d[i][!j][0]+w);
      dp[1<<i][i][j]=cost;
    }
  }
  
  for(ll S=0;S<1<<K;S++){
    for(ll i=0;i<K;i++){
      if(!(S>>i&1))continue;
      for(ll j=0;j<K;j++){
        if(S>>j&1)continue;
        for(ll k=0;k<2;k++){
          for(ll l=0;l<2;l++){
            ll s=es[i][k],t=es[j][l];
            if(d[j][l][s]<sd[j][l][s]){
              chmin(dp[S|1<<j][j][l],dp[S][i][k]+d[j][l][s]);
            }else{
              ll w=g[t][es[j][l+2]].w;
              ll cost=min(d[j][l][s]+w*2,d[j][!l][s]+w);
              chmin(dp[S|1<<j][j][l],dp[S][i][k]+cost);
            }
          }
        }
      }
    }
  }
  
  ll ans=inf;
  for(ll i=0;i<K;i++)for(ll j=0;j<2;j++)chmin(ans,dp[(1<<K)-1][i][j]+d[i][j][N-1]);
  pt(ans);
}

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