#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 100005
#define LOG 18
vector<int> G[MAX];
int numNode, numQuery;
int pa[MAX], root;
int depth[MAX], paint[MAX], jmp[MAX][LOG];
int min_value[MAX];
void pre_dfs(int u, int p = -1){
min_value[u] = u;
for (int&v : G[u]) if(v ^ p){
depth[v] = depth[u] + 1;
jmp[v][0] = u;
for (int i = 1; i < LOG; ++i) jmp[v][i] = jmp[jmp[v][i - 1]][i - 1];
pre_dfs(v, u);
minimize(min_value[u], min_value[v]);
}
}
struct cmp{
bool operator ()(const int &u, const int &v) const{
if(depth[u] == depth[v]) return min_value[u] < min_value[v];
return depth[u] > depth[v];
}
};
void process(void){
cin >> numNode >> numQuery;
for (int i = 1; i <= numNode; ++i){
cin >> pa[i];
if(pa[i] == 0) {
root = i; continue;
}
G[i].emplace_back(pa[i]);
G[pa[i]].emplace_back(i);
}
pre_dfs(1, 0);
set<int, cmp> ms;
for (int i = 1; i <= numNode; ++i){
ms.insert(i);
}
for (int i = 1; i <= numQuery; ++i){
int c; cin >> c;
if(c == 1){
int x; cin >> x;
int last = -1;
while(x --){
int u = *ms.begin();
ms.erase(ms.begin());
paint[u] = true;
last = u;
}
assert(last != -1);
cout << last << '\n';
}
else{
int u; cin >> u;
int prv = u;
for (int j = LOG - 1; j >= 0; --j) if(jmp[u][j] > 0 && paint[jmp[u][j]]){
u = jmp[u][j];
}
paint[u] = false;
ms.insert(u);
cout << depth[prv] - depth[u] << '\n';
}
}
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
