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>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
#define iter(id, v) for(auto id : v)
#define fs first
#define se second
#define MP make_pair
#define pb push_back
#define bit(msk, i) ((msk >> i) & 1)
#define SZ(v) (ll)v.size()
#define ALL(v) v.begin(),v.end()
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now ().time_since_epoch().count());
ll Rand (ll l, ll r) { return uniform_int_distribution<ll> (l, r) (rd); }
const int N = 3e5 + 7;
const int Mod = 1e9 + 7;
const int INF = 1e9;
const ll BASE = 137;
const int szBL = 320;
int n, D;
vector<int> ke[N];
pii dp[N];
void dfs (int u, int p) {
vector<pii> vec;
iter (&v, ke[u]) {
if (v != p) {
dfs(v, u);
if (dp[v].fs > 0) vec.pb(dp[v]);
}
}
sort (ALL(vec), [] (pii A, pii B) { return A.se < B.se; });
if (SZ(vec) == 0) dp[u] = {1, 1};
else if (SZ(vec) == 1) {
dp[u] = {vec[0].fs, vec[0].se + 1};
if (vec[0].se >= D) {
dp[u].fs++;
dp[u].se = 1;
}
}
else {
int mn = INF;
rep (i, 1, SZ(vec)) {
if (i == SZ(vec) || vec[i].se + vec[i - 1].se >= D) {
rep (j, i - 1, SZ(vec) - 1) {
dp[u].fs += vec[j].fs;
mn = min(mn, vec[j].se);
}
break;
}
else dp[u].fs += vec[i - 1].fs - 1;
}
if (mn >= D) {
dp[u].fs++;
dp[u].se = 1;
}
else dp[u].se = mn + 1;
}
}
void solution() {
cin >> n >> D;
rep (i, 2, n) {
int p;
cin >> p;
++p;
ke[p].pb(i);
ke[i].pb(p);
}
dfs(1, 0);
cout << dp[1].fs <<"\n";
}
#define file(name) freopen(name".inp","r",stdin); \
freopen(name".out","w",stdout);
int main () {
// file("compete");
ios_base :: sync_with_stdio(false); cin.tie(0); cout.tie(0);
int num_Test = 1;
// cin >> num_Test;
while (num_Test--)
solution();
}
/*
no bug +7
5 3 1
1 1 1 2 3
2 3 5
1 2
2 3
2 4
1 5
2 3
*/
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