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/////////////////////include/////////////////////
//#include <bits/stdc++.h>
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <string>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <cassert>
#include <set>
#include <map>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <iomanip>
#include <bitset>
#include <stdio.h>
#include <climits>
#include <numeric>
using namespace std;
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//template <typename T>
//using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
/////////////////////define/////////////////////
#define ci(x) if(x) cout << "YES" << '\n'; else cout << "NO" << '\n';
#define cii(x) if(check(x))
#define MOD 1000000007
#define MOD2 998244353
#define oo 1e9
#define ool 1e18L
#define pii pair<int, int>
#define pll pair<long long, long long>
#define mii map<int, int>
#define vi vector<int>
#define vpi vector<pair<int, int>>
#define vll vector <ll>
#define ff first
#define ss second
#define mp make_pair
#define ll long long
#define ld long double
#define pb push_back
#define eb emplace_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
#define sz(x) (int((x).size()))
#define all(x) (x).begin(), (x).end()
#define alll(x) (x), (x) + n
#define clr(x) (x).clear();
#define fri(x) for(int i = 0; i < x; ++i)
#define frj(x) for(int j = 0; j < x; ++j)
#define frp(x) for(int p = 0; p < x; ++p)
#define frr(a, b) for(int i = a; i < b; ++i)
#define frrj(a, b) for(int j = a; j < b; ++j)
#define fra(x) for(int i = 0; i < x; ++i) cin >> a[i];
#define frb(x) for(int i = 0; i < x; ++i) cin >> b[i];
#define frs(x) for(auto it = x.begin(); it != x.end(); ++it)
#define fr(x) for(auto it : x) //el
#define fastio ios_base::sync_with_stdio(false); cin.tie(0);
#define dbg(x) cerr << #x << ": " << x << endl;
#define ce(x) cout << x << endl;
#define uniq(x) x.resize(unique(all(x)) - x.begin()); //make all one after sorting
#define blt __builtin_popcount
/////////////////////print array, vector, deque, set, multiset, pair, map /////////////////////
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]"; cout << endl;}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(stack <T> v) {cerr << "[ "; stack<T> s = v; while(s.size()) {int i = s.top(); print(i); s.pop(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(queue <T> v) {cerr << "[ "; queue<T> s = v; while(s.size()) {int i = s.front(); print(i); s.pop(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(deque <T> v) {cerr << "[ "; deque<T> s = v; while(s.size()) {int i = s.front(); print(i); s.pop_front(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T, class V> void print(unordered_map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
/////////////////////code/////////////////////
vpi g[100005];
const int l = 18;
int m[100005], place[100005], id, up[100005][l + 1];
bool vis[100005];
vi ord;
set<pii> s;
void dfsmin(int v, int p) {
m[v] = v;
up[v][0] = p;
for (int i = 1; i <= l; ++i)
up[v][i] = up[up[v][i - 1]][i - 1];
for(pii u : g[v]) {
dfsmin(u.ss, v);
m[v] = min(m[v], m[u.ss]);
}
}
void dfsorder(int v) {
for(pii& u : g[v]) u.ff = m[u.ss];
sort(all(g[v]));
for(pii u : g[v])
dfsorder(u.ss);
ord.pb(v);
place[v] = id++;
}
int main() {
fastio;
int x, y, n, q, t, root;
cin >> n >> q;
fri(n) {
cin >> x;
if(!x) root = i + 1;
else g[x].eb(0, i + 1);
}
dfsmin(root, 0);
dfsorder(root);
for(int x : ord)
s.insert({place[x], x});
while(q--) {
cin >> t >> x;
if(t == 1) {
pii p;
fri(x) {
p = *(s.begin());
vis[p.ss] = 1;
s.erase(s.begin());
}
cout << p.ss << '\n';
}
else {
int u = x, cnt = 0;
for(int i = l; i >= 0; --i) {
if(vis[up[u][i]]) {
cnt += (1 << i);
u = up[u][i];
}
}
cout << cnt << '\n';
s.insert({place[u], u});
vis[u] = 0;
}
// print(s); print(vis, n + 1);
}
return 0;
}
// ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥
// ♥ ♥ ♥ ♥ ♥ ♥ ♥
// ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥
// ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥
// ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥
//
// God loves Fil, Fil accepts God's will
컴파일 시 표준 에러 (stderr) 메시지
ballmachine.cpp: In function 'int main()':
ballmachine.cpp:117:12: warning: unused variable 'y' [-Wunused-variable]
117 | int x, y, n, q, t, root;
| ^
ballmachine.cpp:125:13: warning: 'root' may be used uninitialized in this function [-Wmaybe-uninitialized]
125 | dfsorder(root);
| ~~~~~~~~^~~~~~
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