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>
using namespace std;
#define ll long long
#define el '\n'
const int maxn=1e5+1,oo=1e9;
void amin(int &x,int y){ if(x>y) x=y;}
void amax(int &x,int y){ if(x<y) x=y;}
int n,m,opt,o,cnt,k,u,val,ans;
vector<vector<int>> con,far;
vector<int> cha,minn,ut,reut,st;
vector<bool> ok;
// trade 1
bool check(int x,int y){
return minn[x]<minn[y];
}
int prepare(int z){
minn[z]=z;
for(int &e:con[z]) amin(minn[z],prepare(e));
return minn[z];
}
void dfs(int z){
for(int &e:con[z]) dfs(e);
cnt++;
ut[z]=cnt;
reut[cnt]=z;
return;
}
void pre_up(int id,int l,int r){
if(r<u || l>u) return;
if(l==r){
st[id]+=val;
return;
}
int mid=(l+r)/2;
pre_up(id*2,l,mid);
pre_up(id*2+1,mid+1,r);
st[id]=st[id*2]+st[id*2+1];
return;
}
void up(int id,int v){
u=id;
val=v;
return pre_up(1,1,n);
}
void pre_get(int id,int l,int r){
if(l==r){
ans=l;
ok[l]=1;
up(l,1);
return;
}
int mid=(l+r)/2;
if(mid-l+1==st[id*2]) pre_get(id*2+1,mid+1,r);
else pre_get(id*2,l,mid);
}
void get(){
return pre_get(1,1,n);
}
// trade 2
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
cin >> n >> m;
con.resize(n+1);
cha.resize(n+1);
minn.resize(n+1);
ut.resize(n+1);
reut.resize(n+1);
st.resize(n*4+1);
ok.resize(n+1);
far.resize(18,vector<int> (n+1));
for(int i=1;i<=n;++i){
cin >> cha[i];
con[ cha[i] ].push_back(i);
}
opt=con[0][0];
prepare(opt);
for(int i=1;i<=n;++i) sort(con[i].begin(),con[i].end(),check);
dfs(opt);
for(int i=1;i<=n;++i) far[0][ut[i]]=ut[cha[i]];
for(int i=1;i<18;++i){
for(int j=1;j<=n;++j){
far[i][j]=far[i-1][ far[i-1][j] ];
}
}
while(m--){
cin >> o >> k;
if(o==1){
for(int i=0;i<k;++i) get();
cout << reut[ans] << el;
} else {
cnt=0;
k=ut[k];
for(int i=17;i>=0;--i) if(ok[ far[i][k] ]){
cnt+=(1<<i);
k=far[i][k];
}
up(k,-1);
ok[k]=0;
cout << cnt << el;
}
}
return 0;
}
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