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/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define ar array
#define vt vector
#define pq priority_queue
#define pu push
#define pub push_back
#define em emplace
#define emb emplace_back
#define mt make_tuple
#define all(x) x.begin(), x.end()
#define allr(x) x.rbegin(), x.rend()
#define allp(x, l, r) x.begin() + l, x.begin() + r
#define len(x) (int)x.size()
#define uniq(x) unique(all(x)), x.end()
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<class Fun> class y_combinator_result {
Fun fun_;
public:
template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); }
};
template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); }
template <class T, size_t N>
void re(array <T, N>& x);
template <class T>
void re(vt <T>& x);
template <class T>
void re(T& x) {
cin >> x;
}
template <class T, class... M>
void re(T& x, M&... args) {
re(x), re(args...);
}
template <class T>
void re(vt <T>& x) {
for(auto& it : x) re(it);
}
template <class T, size_t N>
void re(array <T, N>& x) {
for(auto& it : x) re(it);
}
template <class T, size_t N>
void wr(const array <T, N>& x);
template <class T>
void wr(const vt <T>& x);
template <class T>
void wr(const T& x) {
cout << x;
}
template <class T, class ...M>
void wr(const T& x, const M&... args) {
wr(x), wr(args...);
}
template <class T>
void wr(const vt <T>& x) {
for(auto it : x) wr(it, ' ');
}
template <class T, size_t N>
void wr(const array <T, N>& x) {
for(auto it : x) wr(it, ' ');
}
template<class T, class... M>
auto mvt(size_t n, M&&... args) {
if constexpr(sizeof...(args) == 1)
return vector<T>(n, args...);
else
return vector(n, mvt<T>(args...));
}
void set_fixed(int p = 0) {
cout << fixed << setprecision(p);
}
void set_scientific() {
cout << scientific;
}
void Open(const string& name) {
#ifndef ONLINE_JUDGE
(void)!freopen((name + ".in").c_str(), "r", stdin);
(void)!freopen((name + ".out").c_str(), "w", stdout);
#endif
}
const int inf = 1e9;
void solve() {
int n, k; re(n, k);
vt <vt <int>> adj(n);
for (int v = 1; v < n; ++v) {
int u; re(u);
adj[u].emb(v);
adj[v].emb(u);
}
set <ar <int, 2>> ans;
vt <set <ar <int, 2>>> s(n);
for (int u = 0; u < n; ++u)
s[u].insert({inf, -1});
auto df = y_combinator([&](auto&& df, int u, int p = -1, int depth = 0) -> void {
s[u].insert({depth, u});
for (auto& v : adj[u]) {
if (v == p)
continue;
df(v, u, depth + 1);
auto b = s[u].begin();
auto a = b; ++b;
auto d = s[v].begin();
auto c = d; ++d;
if ((*a)[0] + (*c)[0] - 2 * depth < k) {
if ((*c)[0] > (*a)[0])
s[u].erase(a);
else
s[v].erase(c);
}
if (len(s[u]) < len(s[v]))
swap(s[u], s[v]);
for (auto& x : s[v])
s[u].insert(x);
}
if (len(ans) < len(s[u]))
ans = s[u];
});
df(0);
vt <int> res;
for (auto& [d, u] : ans) {
if (d != inf)
res.emb(u + 1);
}
wr(len(res));
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//Open("");
int t = 1;
for(;t;t--) {
solve();
}
return 0;
}
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