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>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define fi first
#define se second
#define pb push_back
#define pf push_front
#define mp make_pair
#define ms(a, b) memset((a), (b), sizeof(a))
#define len(a) (int)((a).size())
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define lb lower_bound
#define ub upper_bound
#define mine min_element
#define maxe max_element
#define fore(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define fort(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for (int i = (a), _b = (b); i >= _b; --i)
void __print(signed x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char* x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename F, typename S>
void __print(const pair<F, S> &x) {cerr << '{'; __print(x.fi); cerr << ','; __print(x.se); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto& i : x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename F, typename... S>
void _print(F t, S... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef SHANK
#define bug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define bug(x...)
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template <class T> bool mini(T& a, const T& b) { return a > b ? (a = b, 1) : 0; }
template <class T> bool maxi(T& a, const T& b) { return a < b ? (a = b, 1) : 0; }
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
using i64 = long long;
using ld = long double;
using pi = pair<int, int>;
using ti = pair<int, pi>;
using vi = vector<int>;
using vpi = vector<pi>;
using vti = vector<ti>;
using vvi = vector<vi>;
using vvpi = vector<vpi>;
using vvti = vector<vti>;
const int inf = (int)0x3f3f3f3f3f3f3f3f;
const int ninf = (int)0xc0c0c0c0c0c0c0c0;
const int mod = (int)1e9 + 7;
const ld eps = (ld)1e-9;
const int N = 1e5 + 3;
const int LG = __lg(N) + 3;
int n, q, root, p[N][LG], mn[N], h[N], ord[N], cnt;
bool b[N];
vi a[N];
struct cmp {
bool operator ()(const int &u, const int &v) {
return ord[u] > ord[v];
}
};
priority_queue<int, vi, cmp> vtx;
void input() {
cin >> n >> q;
fort(u, 1, n) {
cin >> p[u][0];
if (p[u][0] == 0) root = u;
a[p[u][0]].pb(u);
}
}
void dfsMin(int u) {
mn[u] = u;
for (int &v : a[u]) {
h[v] = h[u] + 1;
dfsMin(v);
mini(mn[u], mn[v]);
}
}
void dfsOrd(int u) {
for (int &v : a[u]) dfsOrd(v);
ord[u] = ++cnt;
}
void prep() {
fort(i, 1, LG) fort(u, 1, n) if (p[u][i - 1]) {
p[u][i] = p[p[u][i - 1]][i - 1];
}
dfsMin(root);
fort(i, 1, n) sort(all(a[i]), [&](const int &u, const int &v) { return mn[u] < mn[v]; });
dfsOrd(root);
fort(i, 1, n) vtx.push(i);
}
int add() {
int u = vtx.top(); vtx.pop();
b[u] = 1;
return u;
}
int rmv(int u) {
int res = h[u];
ford(i, LG - 1, 0) if (b[p[u][i]]) u = p[u][i];
b[u] = 0;
vtx.push(u);
return res - h[u];
}
void solve() {
prep();
fort(i, 1, q) {
int t; cin >> t;
if (t == 1) {
int k; cin >> k;
int ans;
fort(i, 1, k) ans = add();
cout << ans << '\n';
} else {
int u; cin >> u;
cout << rmv(u) << '\n';
}
}
}
signed main() {
#ifdef SHANK
freopen("CP.inp", "r", stdin);
// freopen("CP.out", "w", stdout);
#else
// freopen("CP.inp", "r", stdin);
// freopen("CP.out", "w", stdout);
#endif
ios_base::sync_with_stdio(0); cin.tie(0);
input();
solve();
return 0;
}
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