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 <algorithm>
#include <queue>
#include <bitset>
#include <vector>
#include <set>
using namespace std;
const int INF = 1e9;
const int MAXN = 2e5 + 123;
int depth[MAXN];
vector<int> edg[MAXN];
int ans[MAXN];
int mindepth[MAXN];
int sacdepth[MAXN];
int d;
void dfs(int v) {
//cout << v << endl;
ans[v] = 1;
mindepth[v] = depth[v];
sacdepth[v] = INF;
for (auto u : edg[v]) {
depth[u] = depth[v] + 1;
dfs(u);
if (mindepth[u] + mindepth[v] - 2 * depth[v] >= d) {
ans[v] += ans[u];
sacdepth[v] = min(sacdepth[v], sacdepth[u]);
mindepth[v] = min(mindepth[v], mindepth[u]);
} else {
bool sacv = (mindepth[u] + sacdepth[v] - 2 * depth[v] >= d);
bool sacu = (mindepth[v] + sacdepth[u] - 2 * depth[v] >= d);
if (!sacv && !sacu) {
cout << "ERROR";
exit(1);
}
ans[v] += ans[u] - 1;
int nmindepth = 0;
if (sacv) {
nmindepth = min(mindepth[u], sacdepth[v]);
}
if (sacu) {
nmindepth = max(nmindepth, min(mindepth[v], sacdepth[u]));
}
sacdepth[v] = min(sacdepth[v], sacdepth[u]);
mindepth[v] = nmindepth;
}
}
}
signed main() {
int n;
cin >> n >> d;
for (int i = 1; i < n; ++i) {
int rt;
cin >> rt;
edg[rt].push_back(i);
depth[i] = depth[rt] + 1;
}
dfs(0);
cout << ans[0] << '\n';
}
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