Submission #1122128

#TimeUsernameProblemLanguageResultExecution timeMemory
1122128ihneRigged Roads (NOI19_riggedroads)C++17
17 / 100
376 ms262144 KiB
#include <bits/stdc++.h> using namespace std; #define pii pair<int,int> #define fi first #define se second #define pb push_back const int mn=3e5+5; int tin[mn],tout[mn],timer,dom[mn]; int A[mn],B[mn],ans[mn]; bool ch[mn]; vector<int> lca,dw[mn]; int up[mn]; vector<int> g[mn]; int st[2*mn][20],pos[2*mn],h[mn],lg[2*mn],dd[mn]; void dfs(int u,int p){ pos[u]=lca.size(); lca.pb(h[u]); tin[u]=++timer; for (int id:g[u]){ int v=u^A[id]^B[id]; if (v==p) continue; dom[id]=u; dd[id]=v; dw[v].pb(v); up[v]=id; h[v]=h[u]+1; dfs(v,u); lca.pb(h[u]); } tout[u]=timer; } bool is_ancs(int u,int v){ return tin[u]<=tin[v]&&tout[u]>=tout[v]; } int get(int l,int r){ if (l>r) swap(l,r); int k=lg[r-l]; return min(st[k][l],st[k][r-(1<<k)+1]); } signed main(){ ios_base::sync_with_stdio(0); cin.tie(0); for (int i=2;i<=6e5;i++) lg[i]=lg[i>>1]+1; int n,e; cin>>n>>e; for (int i=1;i<=e;i++){ int u,v; cin>>u>>v; if (u>v) swap(u,v); A[i]=u; B[i]=v; } for (int i=1;i<n;i++){ int id; cin>>id; ch[id]=1; g[A[id]].pb(id); g[B[id]].pb(id); } lca.pb(0); h[1]=1; dfs(1,1); int N=lca.size()-1; for (int i=1;i<=N;i++) st[0][i]=lca[i]; for (int i=1;i<=19;i++){ for (int j=1;j+(1<<i)-1<=N;j++){ st[i][j]=min(st[i-1][j],st[i-1][j+(1<<(i-1))]); } } int cur=1; tout[0]=timer; for (int i=1;i<=e;i++){ if (ans[i]) continue; if (ch[i]) { ans[i]=cur++; for (int x:dw[dd[i]]) { up[x]=up[dom[i]]; dw[dom[i]].pb(x); } } else{ int u=A[i]; int v=B[i]; int dep=get(pos[u],pos[v]); vector<int> edge; if (!is_ancs(u,v)) { while (!is_ancs(dom[up[u]],v)){ edge.pb(up[u]); int nd=dom[up[u]]; for (int x:dw[u]){ up[x]=up[nd]; dw[nd].pb(x); } u=nd; } if (h[dom[up[u]]]==dep){ edge.pb(up[u]); int nd=dom[up[u]]; for (int x:dw[u]){ up[x]=up[nd]; dw[nd].pb(x); } u=nd; } } if (!is_ancs(v,u)) { while (!is_ancs(dom[up[v]],u)){ edge.pb(up[v]); int nd=dom[up[v]]; for (int x:dw[v]){ up[x]=up[nd]; dw[nd].pb(x); } v=nd; } if (h[dom[up[v]]]==dep){ edge.pb(up[v]); int nd=dom[up[v]]; for (int x:dw[v]){ up[x]=up[nd]; dw[nd].pb(x); } v=nd; } } sort(edge.begin(),edge.end()); for (int id:edge) ans[id]=cur++; ans[i]=cur++; } } for (int i=1;i<=e;i++) cout<<ans[i]<<" "; }
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