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>
using namespace std;
struct segment_tree {
int lx, rx, value = 0;
segment_tree* left = nullptr;
segment_tree* right = nullptr;
segment_tree(int _lx, int _rx) : lx(_lx), rx(_rx) {}
void extend_left() {
if (!left) left = new segment_tree(lx, (lx + rx) / 2);
}
void extend_right() {
if (!right) right = new segment_tree((lx + rx) / 2, rx);
}
void modify(int i, int v) {
if (rx - lx == 1) {
value = max(value, v);
} else {
int mid = (lx + rx) / 2;
if (i < mid) {
extend_left();
left->modify(i, v);
} else {
extend_right();
right->modify(i, v);
}
value = max(!left ? 0 : left->value, !right ? 0 : right->value);
}
}
int get(int i) {
if (rx - lx == 1) {
return value;
} else {
int mid = (lx + rx) / 2;
if (i < mid) {
return !left ? 0 : left->get(i);
} else {
return !right ? 0 : right->get(i);
}
}
}
int query(int l) {
if (rx <= l) {
return 0;
} else if (lx >= l) {
return value;
} else {
return max(!left ? 0 : left->query(l), !right ? 0 : right->query(l));
}
}
};
const int MAX_N = 2e5 + 5;
vector<int> G[MAX_N];
segment_tree* dp[MAX_N];
int max_depth[MAX_N];
int N, D;
int DFS(int u, int d = 0) {
max_depth[u] = d;
dp[u] = new segment_tree(0, 2 << __lg(N));
int ans = 1;
for (int v : G[u]) {
DFS(v, d + 1);
ans += dp[v]->query(d + D);
if (max_depth[u] < max_depth[v]) {
swap(max_depth[u], max_depth[v]);
swap(dp[u], dp[v]);
}
vector<int> vals;
for (int i = d + 1; i <= max_depth[v]; i++) {
if ((i - d) * 2 <= D) {
vals.push_back(dp[u]->query(2 * d + D - i));
}
}
for (int i = d + 1; i <= max_depth[v]; i++) {
if ((i - d) * 2 <= D) {
dp[u]->modify(i, dp[u]->get(i) + dp[v]->query(2 * d + D - i));
}
}
for (int i = d + 1, j = 0; i <= max_depth[v]; i++) {
if ((i - d) * 2 <= D) {
dp[u]->modify(i, dp[v]->get(i) + vals[j++]);
}
}
}
dp[u]->modify(d, ans);
return dp[u]->query(0);
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
cin >> N >> D;
if (D == 1) {
cout << N << "\n";
exit(0);
}
for (int i = 1; i < N; i++) {
int p;
cin >> p;
G[p].push_back(i);
}
cout << DFS(0) << "\n";
}
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