This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#define AquA cin.tie(0);ios_base::sync_with_stdio(0);
#define fs first
#define sc second
#define p_q priority_queue
using namespace std;
struct no{
vector<int> ch;
int as[20]={0};
int dep=-1;
};
vector<no> v;
void dfs(int r,int f){
v[r].as[0]=f;
v[r].dep=v[f].dep+1;
for(auto h:v[r].ch){
if(h!=f){
dfs(h,r);
}
}
}
int lca(int x,int y){
if(v[x].dep<v[y].dep){
swap(x,y);
}
for(int i=19;i>=0;i--){
if(v[v[x].as[i]].dep>=v[y].dep){
x=v[x].as[i];
}
}
if(x==y){
return x;
}
for(int i=19;i>=0;i--){
if(v[x].as[i]!=v[y].as[i]){
x=v[x].as[i];
y=v[y].as[i];
}
}
return v[x].as[0];
}
int main(){
AquA;
int n,m,q;
cin >> n >> m >> q;
v.resize(n);
for(int i=1;i<n;i++){
int a,b;
cin >> a >> b;
a--;
b--;
v[a].ch.push_back(b);
v[b].ch.push_back(a);
}
dfs(0,0);
for(int i=1;i<20;i++){
for(int j=0;j<n;j++){
v[j].as[i]=v[v[j].as[i-1]].as[i-1];
}
}
vector<int> g(m);
multiset<pair<int,pair<int,int> > > s;
for(int i=0;i<m;i++){
cin >> g[i];
g[i]--;
s.insert({g[i],{i,i}});
}
vector<int> y(m);
for(int i=1;i<m;i++){
y[i]=lca(g[i-1],g[i]);
s.insert({y[i],{i-1,i}});
}
for(int i=0;i<q;i++){
int t;
cin >> t;
if(t==1){
int p,k;
cin >> p >> k;
k--;
p--;
s.erase({g[p],{p,p}});
if(p){
s.erase({y[p],{p-1,p}});
}
if(p+1<m){
s.erase({y[p+1],{p,p+1}});
}
g[p]=k;
s.insert({g[p],{p,p}});
if(p){
y[p]=lca(g[p],g[p-1]);
s.insert({y[p],{p-1,p}});
}
if(p+1<m){
y[p+1]=lca(g[p],g[p+1]);
s.insert({y[p+1],{p,p+1}});
}
}
else{
int l,r,k;
cin >> l >> r >> k;
k--;
l--;
r--;
auto h=s.lower_bound({k,{l,-1}});
if(h==s.end() || (*h).sc.sc>r || (*h).fs!=k){
cout << "-1 -1\n";
}
else{
cout << (*h).sc.fs+1 << " " << (*h).sc.sc+1 << "\n";
}
}
}
return 0;
}
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