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 f first
#define s second
#define int long long
using namespace std;
const int N = 5e5 + 69;
const int K = 20;
int n, k, a[N], ans, cnt[N], dep[N], up[N], is[N];
vector<int> g[N], c[N];
vector<int> t[N];
int have[N][52];
void dfs(int v, int p) {
have[v][a[v]] = 1;
for (auto u : g[v]) {
if (u == p)
continue;
dfs(u, v);
for (int j = 1;j <= k;j++)
have[v][j] += have[u][j];
}
int ok = 1;
for (int j = 1;j <= k;j++) {
if (have[v][j] > 0)
ok &= (have[v][j] == (int)c[j].size());
}
cnt[v] = ok;
}
void build(int v, int p, int c) {
int x = c;
if (cnt[v] && v > 1) {
t[v].push_back(c);
t[c].push_back(v);
up[v] = c;
x = v;
}
for (auto u : g[v]) {
if (u == p)
continue;
build(u, v, x);
}
}
void calc(int v, int p) {
if (t[v].size() == 1 && v > 1)
is[v] = 1;
for (auto u : t[v]) {
if (u == p)
continue;
calc(u, v);
is[v] += is[u];
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n >> k;
for (int i = 1;i <= n - 1;i++) {
int a, b;
cin >> a >> b;
g[a].push_back(b);
g[b].push_back(a);
}
for (int i = 1;i <= n;i++) {
cin >> a[i];
c[a[i]].push_back(i);
}
dfs(1, 0);
build(1, 0, 1);
calc(1, 0);
assert(cnt[1] == 1);
int o = 0;
for (int i = 1;i <= n;i++) {
if (cnt[i] && t[i].size() == 1)
o += 1;
}
ans = (o + 1) / 2;
cout << ans << '\n';
}
return 0;
}
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