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lca.cpp
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int tim=0,l;
vector <vi> adj,up;
vi tin,tout;
void init(int sz){
for(;(1<<l)<=sz;l++);
adj.resize(sz+1); tin.resize(sz+1); tout.resize(sz+1); up.resize(sz+1);
loop(i,0,sz+1)
up[i].resize(l+1,0);
}
void dfs(int src,int par){
tin[src]=++tim;
up[src][0]=par;
loop(i,1,l+1)
up[src][i]=up[up[src][i-1] ][i-1];
for(auto i:adj[src])
if(i!=par)
dfs(i,src);
tout[src]=++tim;
}
bool is_ancestor(int u,int v){
if(u==0 or v==0) return false ;
return (tin[u]<tin[v] and tout[u]>tout[v]);
}
int lca(int u,int v){
if(is_ancestor(u,v)) return u;
if(is_ancestor(v,u)) return v;
for(int i=l;i>=0;i--)
if(!is_ancestor(up[u][i],v) and up[u][i]!=0)
u=up[u][i];
return up[u][0];
}