Submission #374723

#TimeUsernameProblemLanguageResultExecution timeMemory
374723YJUOne-Way Streets (CEOI17_oneway)C++14
0 / 100
3 ms4352 KiB
#include<bits/stdc++.h> #pragma GCC optimize("unroll-loops,no-stack-protector") using namespace std; typedef long long ll; typedef pair<ll,ll> pll; const ll N=1e5+5; const ll MOD=1e9+7; #define REP(i,n) for(int i=0;i<n;++i) #define REP1(i,n) for(int i=1;i<=n;i++) #define pb push_back #define mp make_pair #define X first #define Y second ll n,m,q,x,y; vector<ll> v[N]; pll ed[N]; ll ans[N]; ll depth[N],low[N],stk[N],now,vis[N],color[N],is_bridge[N]; void DFS(ll nd,ll par,ll par_edge){ vis[nd]=1; stk[++now]=nd; low[nd]=depth[nd]=depth[par]+1; for(auto i:v[nd]){ if(i==par_edge)continue; ll to=ed[i].X+ed[i].Y-nd; if(vis[to]){ low[nd]=min(low[nd],depth[to]); }else{ DFS(to,nd,i); low[nd]=min(low[nd],low[to]); } } if(low[nd]>=depth[nd]){ is_bridge[par_edge]=1; } } void coloring(ll nd,ll pa,ll par_edge,ll C){ vis[nd]=1;color[nd]=C; for(auto i:v[nd]){ if(i==par_edge)continue; ll to=ed[i].X+ed[i].Y-nd; if(vis[to])continue; coloring(to,nd,i,C); } } ll ti,in[N],out[N],anc[N][20],pe[N]; void dfs(ll nd,ll pa,ll par_edge){ pe[nd]=par_edge; anc[nd][0]=pa; REP1(i,18)anc[nd][i]=anc[anc[nd][i-1]][i-1]; in[nd]=++ti; for(ll i:v[nd]){ if(i==par_edge)continue; ll to=(ed[i].X+ed[i].Y)-nd; dfs(to,nd,i); } out[nd]=++ti; } bool is_anc(ll nda,ll ndb){ return (in[nda]<=in[ndb]&&out[nda]>=out[ndb]); } ll lca(ll nda,ll ndb){ if(is_anc(nda,ndb))return nda; if(is_anc(ndb,nda))return ndb; for(int i=18;i>=0;i--){ if(!anc[nda][i])continue; if(!is_anc(anc[nda][i],ndb)){ nda=anc[nda][i]; } } return anc[nda][0]; } ll u[N],d[N]; void build(ll nd,ll pa,ll par_edge){ for(auto i:v[nd]){ if(i==par_edge)continue; ll to=(ed[i].X+ed[i].Y)-nd; build(to,nd,i); u[nd]+=u[to]; d[nd]+=d[to]; } if(u[nd])ans[par_edge]=nd; if(d[nd])ans[par_edge]=pa; } int main(){ ios_base::sync_with_stdio(0);cin.tie(0); memset(ans,-1,sizeof(ans)); //reset // cin>>n>>m; REP1(i,m){ cin>>ed[i].X>>ed[i].Y; v[ed[i].X].pb(i); v[ed[i].Y].pb(i); } DFS(1,0,0); REP1(i,n)v[i].clear(); memset(vis,0,sizeof(vis)); REP1(i,m)if(!is_bridge[i])v[ed[i].X].pb(i),v[ed[i].Y].pb(i); REP1(i,n){ if(!vis[i])coloring(i,0,0,i); } REP1(i,n)v[i].clear(); REP1(i,m){ if(is_bridge[i]){ ed[i].X=color[ed[i].X]; ed[i].Y=color[ed[i].Y]; assert(ed[i].X!=ed[i].Y); v[ed[i].X].pb(i);v[ed[i].Y].pb(i); } } //REP1(i,n)cout<<color[i]<<(i==n?"\n":" "); dfs(1,0,0); cin>>q; while(q--){ cin>>x>>y; x=color[x];y=color[y]; if(x==y)continue; ll L=lca(x,y); /*if(L!=x){ ++u[x];--u[L]; } if(L!=y){ ++d[y];--d[L]; }*/ while(L!=x)ans[pe[x]]=x,x=anc[x][0]; while(L!=y)ans[pe[y]]=anc[y][0],y=anc[y][0]; } //build(1,0,0); REP1(i,m){ if(is_bridge[i]){ cout<<(ans[i]==-1?"B":(ans[i]==ed[i].X?"R":"L")); }else{ cout<<"B"; } //if(i==m)cout<<"\n"; } return 0; }
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