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 <iostream>
#include <bitset>
#include <cstring>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>
using i64 = long long;
using u64 = unsigned long long;
using f64 = double;
using f80 = long double;
using namespace std;
#define ALL(x) x.begin(), x.end()
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
#define N 100000
int root, n, q, L[N], J[N], P[N], alloc, ta[N], h[N], tin[N], rv[N], timer, t[N<<1];
char lz[N];
struct { int v, l; } g[N-1];
inline void link(int u, int v) {
if (h[u]) g[++alloc] = {v, 0}, g[ta[u]].l = alloc, ta[u] = alloc;
else g[++alloc] = {v, h[u]}, h[u] = ta[u] = alloc;
}
inline void push(int v, int l, int r)
{
if (-1 == lz[v]) return;
t[v] = lz[v] * (r-l+1);
if (l != r)
{
int m = (l+r)/2, vl=v+1, vr=v+(m-l+1)*2;
lz[vl] = lz[vr] = lz[v];
}
lz[v] = -1;
}
int qry(int x, int y, int v = 0, int l = 0, int r = n - 1)
{
push(v, l, r);
if (y < l || r < x) return 0;
if (x <= l && r <= y) return t[v];
int m = (l+r)/2, vl =v + 1, vr=v+(m-l+1)*2;
return qry(x, y, vl, l, m) + qry(x, y, vr, m+1, r);
}
int qry(int u) { return qry(tin[u], tin[u]); }
void update(int x, int y, int k, int v = 0, int l = 0, int r = n - 1)
{
push(v, l, r);
if (y < l || r < x) return;
int m = (l+r)/2, vl =v + 1, vr=v+(m-l+1)*2;
if (x <= l && r <= y) {lz[v] = k; push(v, l, r); return; }
update(x, y, k, vl, l, m), update(x, y, k, vr, m+1, r);
t[v] = t[vl]+t[vr];
}
void dfs(int u)
{
for (auto j = h[u]; j; j = g[j].l)
{
P[g[j].v] = u;
if (L[u] - L[J[u]] == L[J[u]] - L[J[J[u]]]) J[g[j].v] = J[J[u]];
else J[g[j].v] = u;
L[g[j].v] = L[u] + 1;
dfs(g[j].v);
}
rv[tin[u] = timer++] = u;
}
int highest(int u)
{
for (; u != P[u]; )
{
if (qry(J[u])) u = J[u];
else if (qry(P[u])) u = P[u];
else break;
}
return u;
}
int main()
{
ShinLena;
cin >> n >> q;
for (int i = 0; i < n; ++i) cin >> P[i], (P[i] ? link(P[i]-1, i) : void(root = i));
P[root] = root;
memset(lz, -1, sizeof lz);
dfs(root);
for (int t, k; q--;)
{
cin >> t >> k;
if (t == 1)
{
int l = 0, r = n - 1;
while (l <= r)
{
int m = (l+r)/2;
if (qry(0, m) <= k) l = m + 1;
else r = m - 1;
}
cout << rv[l-1] + 1 << '\n';
update(0, l-1, 1);
}
else
{
int r = highest(k-1);
update(tin[r], tin[r], 0);
cout << L[k-1] - L[r] << '\n';
}
}
return 0;
}
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