#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
typedef long long int ll;
typedef vector<ll> vi;
typedef vector<vector<ll>> vvi;
typedef pair<ll,ll> pi;
typedef map<ll,ll> mi;
typedef long double ld;
typedef vector<ld> vd;
typedef vector<vector<ld>> vvd;
typedef pair<ld,ld> pd;
#define ff first
#define ss second
#define srt(a) sort(a.begin(),a.end());
#define fip(k, n) for (ll i = k; i < n; i++)
#define fjp(k, n) for (ll j = k; j < n; j++)
#define fin(k, n) for (ll i = k; i >= n; i--)
#define fjn(k, n) for (ll j = k; j >= n; j--)
#define fp(k, n, m) for (ll k = n; k < m; k++)
#define fn(k, n, m) for (ll k = n; k >= m; k--)
#define ordered_set tree<pi, null_type,less< pi >, rb_tree_tag,tree_order_statistics_node_update>
#define totalOne(n) __builtin_popcount(n)
#define backZero(n) __builtin_ctzll(n)
#define frontZero(n) __builtin_clzll(n)
#define fx(k) for ( auto x : k )
#define test ll t;cin >> t;while (t--)
#define nli "\n"
// ==========================(debug)============================================================================================== //
#ifndef ONLINE_JUDGE
#define debug(x) cerr << #x <<" "; _printn(x); cerr << nli;
#else
#define debug(x)
#endif
void _printn(ll x){ cerr<<x<<" "; }
void _printn(int x){ cerr<<x<<" "; }
void _printn(ld x){ cerr<<x<<" "; }
void _printn(double x){ cerr<<x<<" "; }
void _printn(string x){ cerr<<x<<" "; }
void _printn(char x){ cerr<<x<<" "; }
void _printn(bool x){ cerr<<x<<" "; }
template<class T,class V>void _printn(pair<T,V> vv);
template<class T> void _printn(vector<T> vv);
template<class T> void _printn(set<T> vv);
template<class T,class V> void _printn(map<T,V> vv);
template<class T> void _printn(multiset<T> vv);
template<class T,class V>void _printn(pair<T,V> vv){ cerr<<"( ";_printn(vv.ff);cerr<<",";_printn(vv.ss);cerr<<")";}
template<class T> void _printn(vector<T> vv){ cerr<<"[ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"]"; };
template<class T> void _printn(set<T> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
template<class T> void _printn(multiset<T> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
template<class T,class V> void _printn(map<T,V> vv){ cerr<<"{ "; for(auto xx:vv){ _printn(xx);cerr<<" "; } cerr<<"}"; };
// ==========================(debug)============================================================================================== //
ll n,m,tp,tp2,res,cnt,sum,tptp,ans;
const ll mx = 1e5+5;
const ll mod = 1e9+7;
// ==========================(MOD)=============================================================================================== //
ll mod_add(ll aa,ll bb){ return ((aa%mod)+(bb%mod))%mod; }
ll mod_minus(ll aa,ll bb){ return (((aa%mod)-(bb%mod))+10*mod)%mod; }
ll mod_mul(ll aa,ll bb){ return ((aa%mod)*(bb%mod))%mod; }
ll mod_power(ll aa,ll bb){ aa%=mod; ll empowered = 1; bb%=mod-1; while(bb > 0){ if(bb & 1) empowered = mod_mul(empowered,aa); bb = bb >> 1; aa = mod_mul(aa,aa); } return empowered; }
ll mod_divi(ll aa,ll bb){ aa=mod_mul(aa,mod_power(bb,mod-2)); return aa; }
// ==========================(MOD)=============================================================================================== //
bool f = false;
vi adj[mx];
vector<pi> adj2[mx];
ll parent[mx][30];
set<ll> st[mx];
ll dis[mx];
ll sub[mx];
ll col[mx];
ll order[mx];
vi orderlist;
class cmp{
public:
bool operator()(const ll aa,const ll bb){
return order[aa] < order[bb];
}
};
set<ll,cmp> tocol;
void dfs(ll u){
sub[u] = u;
fx(adj[u]){
dis[x] = dis[u] + 1;
dfs(x);
sub[u] = min(sub[x],sub[u]);
}
fx(adj[u])
adj2[u].push_back({sub[x],x});
return;
}
void dfs2(ll u){
fx(adj2[u]){
dfs2(x.ss);
}
orderlist.push_back(u);
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
// #ifndef ONLINE_JUDGE
// freopen("input1.txt", "r", stdin);
// freopen("output1.txt", "w", stdout);
// freopen("error1.txt", "w", stderr);
// #endif // ONLINE_JUDGE
cin>>n>>m;
tptp = -1;
fip(1,n+1){
cin>>tp;
st[tp].insert(i);
if(tp!=0){
adj[tp].push_back(i);
parent[i][0] = tp;
}else{
parent[i][0] = tp;
tptp = i;
}
}
parent[tptp][0] = 0;
parent[0][0] = 0;
fjp(1,30)
fip(1,n+1)
parent[i][j] = parent[parent[i][j-1]][j-1];
dis[tptp] = 0;
dfs(tptp);
fip(1,n+1)
if(adj[i].size())
srt(adj2[i]);
dfs2(tptp);
fip(0,n)
order[orderlist[i]] = i;
fip(1,n+1){
if(i == tptp)
continue;
if(adj[i].size()==0)
tocol.insert(i);
}
while(m--){
cin>>tp2;
if(tp2==1){
cin>>cnt;
while(cnt && tocol.size()){
cnt--;
ll it = *tocol.begin();
col[it] = 1;
ans = it;
// debug(it);
tocol.erase(tocol.begin());
st[parent[it][0]].erase(st[parent[it][0]].find(it));
if(st[parent[it][0]].size()==0){
tocol.insert(parent[it][0]);
}
}
cout<<ans<<nli;
}
else{
cin>>cnt;
res = cnt;
fin(29,0)
if(col[parent[cnt][i]])
cnt = parent[cnt][i];
col[cnt] = 0;
sum = dis[res] - dis[cnt];
cout<<sum<<nli;
tocol.insert(cnt);
tocol.erase(parent[cnt][0]);
st[parent[cnt][0]].insert(cnt);
}
}
// cout<<"OK";
// cerr << "Time elapsed: " << setprecision(6) << 1000.0 * clock() / CLOCKS_PER_SEC << "ms\n";
return 0;
}
