Submission #921205

#TimeUsernameProblemLanguageResultExecution timeMemory
921205bachhoangxuanEscape Route (JOI21_escape_route)C++17
100 / 100
3048 ms203860 KiB
#include "escape_route.h" #include<bits/stdc++.h> using namespace std; #define ll long long #define pii pair<int,int> #define fi first #define se second const ll inf=1e18; std::vector<ll> calculate_necessary_time( int N, int M, ll S, int Q, std::vector<int> A, std::vector<int> B, std::vector<ll> L, std::vector<ll> C, std::vector<int> U, std::vector<int> V, std::vector<ll> T) { vector<vector<ll>> c(N,vector<ll>(N,S)); vector<vector<ll>> l(N,vector<ll>(N,S)); for(int i=0;i<M;i++){ c[A[i]][B[i]]=c[B[i]][A[i]]=C[i]; l[A[i]][B[i]]=l[B[i]][A[i]]=L[i]; } for(int i=0;i<N;i++){ c[i][i]=l[i][i]=0; } auto dijisktra = [&](int p,int s){ vector<ll> d(N,inf); vector<bool> used(N,false); d[s]=c[p][s]; for(int _=0;_<N;_++){ int u=-1; for(int i=0;i<N;i++) if(!used[i] && (u==-1 || d[i]<d[u])) u=i; used[u]=true; for(int v=0;v<N;v++){ if(used[v] || c[u][v]>=S) continue; ll dd=d[u]+l[u][v]; if(d[u]%S+l[u][v]>c[u][v]) dd+=S-d[u]%S; d[v]=min(d[v],dd); } } return d; }; vector<vector<vector<ll>>> d(N,vector<vector<ll>>(N,vector<ll>(N,inf))); for(int i=0;i<N;i++) for(int j=0;j<N;j++) if(c[i][j]<S) d[i][j]=dijisktra(i,j); vector<ll> res(Q,inf); for(int i=0;i<Q;i++){ res[i]=d[U[i]][U[i]][V[i]]+(S-T[i])%S; } for(int st=0;st<N;st++){ vector<pair<ll,int>> qq; for(int i=0;i<Q;i++) if(U[i]==st) qq.push_back({T[i],i}); sort(qq.begin(),qq.end()); vector<vector<pair<ll,int>>> ord(N); for(int i=0;i<N;i++){ for(int j=0;j<N;j++) if(i!=j && c[i][j]<S) ord[i].push_back({c[i][j]-l[i][j],j}); sort(ord[i].rbegin(),ord[i].rend()); } vector<int> pos(N,0); vector<ll> dd(N,inf); dd[st]=0; while(!qq.empty()){ pair<ll,int> Max={-1,-1}; for(int i=0;i<N;i++) if(pos[i]<(int)ord[i].size()) Max=max(Max,{ord[i][pos[i]].fi-dd[i],i}); while(!qq.empty() && qq.back().fi>Max.fi){ int id=qq.back().se;qq.pop_back(); res[id]=min(res[id],dd[V[id]]); for(int i=0;i<N;i++){ if(dd[i]==inf) continue; res[id]=min(res[id],S-T[id]+d[i][i][V[id]]); } } if(Max.fi==-1) break; int u=Max.se; int v=ord[u][pos[Max.se]++].se; for(int i=0;i<N;i++) if(d[u][v][i]<S) dd[i]=min(dd[i],d[u][v][i]-Max.fi); } } return res; }
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