Submission #718735

#TimeUsernameProblemLanguageResultExecution timeMemory
718735sofija6Commuter Pass (JOI18_commuter_pass)C++14
100 / 100
711 ms38824 KiB
#include <bits/stdc++.h> #define ll long long #define MAXN 100010 #define llinf 1e16 using namespace std; vector<pair<ll,ll> > G[MAXN]; vector<ll> D[MAXN]; ll n,s,t,u,v,ds[MAXN],du[MAXN],dv[MAXN],dt[MAXN],ans,minu[MAXN],minv[MAXN]; void Dijkstra(ll st,ll *d) { priority_queue<pair<ll,ll>,vector<pair<ll,ll> >,greater<pair<ll,ll> > > q; for (ll i=1;i<=n;i++) d[i]=llinf; d[st]=0; q.push({0,st}); while (!q.empty()) { ll t=q.top().second,dt=q.top().first; q.pop(); if (d[t]!=dt) continue; for (auto next : G[t]) { ll i=next.first,c=next.second; if (d[t]+c<d[i]) { d[i]=d[t]+c; q.push({d[i],i}); } } } } set<pair<ll,ll> > edges; void DFS(ll i,ll p) { D[p].push_back(i); for (auto next : G[i]) { if (ds[i]+next.second+dt[next.first]==ds[t] && !edges.count({i,next.first})) { edges.insert({i,next.first}); DFS(next.first,i); } } } void Dijkstra_Solve() { priority_queue<pair<ll,ll>,vector<pair<ll,ll> >,greater<pair<ll,ll> > > q; for (ll i=1;i<=n;i++) { minu[i]=llinf; minv[i]=llinf; } minu[s]=du[s]; minv[s]=dv[s]; q.push({minu[s],s}); while (!q.empty()) { ll t=q.top().second,d=q.top().first; q.pop(); if (minu[t]!=d) continue; ans=min(ans,minu[t]+minv[t]); for (ll next : D[t]) { if (minu[next]==llinf) { minu[next]=du[next]; minv[next]=dv[next]; q.push({minu[next],next}); } if (minu[t]<minu[next]) { minu[next]=minu[t]; minv[next]=min(dv[next],minv[t]); q.push({minu[next],next}); continue; } if (minu[t]==minu[next] && minv[t]<minv[next]) { minv[next]=minv[t]; q.push({minu[next],next}); continue; } } } for (ll i=1;i<=n;i++) { minu[i]=llinf; minv[i]=llinf; } minu[s]=du[s]; minv[s]=dv[s]; q.push({minv[s],s}); while (!q.empty()) { ll t=q.top().second,d=q.top().first; q.pop(); if (minv[t]!=d) continue; ans=min(ans,minu[t]+minv[t]); for (ll next : D[t]) { if (minv[next]==llinf) { minu[next]=du[next]; minv[next]=dv[next]; q.push({minv[next],next}); } if (minv[t]<minv[next]) { minv[next]=minv[t]; minu[next]=min(du[next],minu[t]); q.push({minv[next],next}); continue; } if (minv[t]==minv[next] && minu[t]<minu[next]) { minu[next]=minu[t]; q.push({minu[next],next}); continue; } } } } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ll m,a,b,c; cin >> n >> m; cin >> s >> t >> u >> v; for (ll i=1;i<=m;i++) { cin >> a >> b >> c; G[a].push_back({b,c}); G[b].push_back({a,c}); } Dijkstra(s,ds); Dijkstra(u,du); Dijkstra(v,dv); Dijkstra(t,dt); DFS(s,0); ans=du[v]; Dijkstra_Solve(); cout << ans; return 0; }
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