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 pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
int n, k;
vector<vector<int>> tree;
vector<int> sz;
vector<int> state, scnt;
vector<int> cnt;
int bsc = 0;
vector<bool> sep;
int sep_cnt = 0;
void pre_dfs(int nd, int ss){
for(int x: tree[nd]) if(x != ss) pre_dfs(x, nd), sz[nd]+=sz[x];
}
void add(int nd, int ss){
cnt[state[nd]]++;
if(cnt[state[nd]] == 1) bsc++;
if(cnt[state[nd]] == scnt[state[nd]]) bsc--;
for(int x: tree[nd]) if(x != ss) add(x, nd);
}
void remove(int nd, int ss){
cnt[state[nd]]--;
if(cnt[state[nd]] == scnt[state[nd]]-1) bsc++;
if(cnt[state[nd]] == 0) bsc--;
for(int x: tree[nd]) if(x != ss) remove(x, nd);
}
void dfs(int nd, int ss, bool keep){
int bigchild = -1, bigchild_size = -1;
for(int x: tree[nd]) if(x != ss && sz[x] > bigchild_size) bigchild_size = sz[x], bigchild = x;
for(int x: tree[nd]) if(x != ss && x != bigchild) dfs(x, nd, 0);
if(bigchild != -1) dfs(bigchild, nd, 1);
cnt[state[nd]]++;
if(cnt[state[nd]] == 1) bsc++;
if(cnt[state[nd]] == scnt[state[nd]]) bsc--;
for(int x: tree[nd]) if(x != ss && x != bigchild) add(x, nd);
if(ss != -1 && bsc == 0) sep[nd] = 1;
if(sep[nd]) sep_cnt++;
if(keep) return;
cnt[state[nd]]--;
if(cnt[state[nd]] == scnt[state[nd]]-1) bsc++;
if(cnt[state[nd]] == 0) bsc--;
for(int x: tree[nd]) if(x != ss) remove(x, nd);
}
int ans = 0;
bool exta = 0;
int dfs2(int nd, int ss, int sep_cnt_ = 0){
int c = 0;
for(int x: tree[nd]) if(x != ss) c+=dfs2(x, nd, sep_cnt_+sep[nd]);
if(ss == -1) return 0;
if(!sep[nd]) return c;
c++;
if(c == 1) ans++;
else if(c+sep_cnt_ == sep_cnt) exta = 1;
return c;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
tree.resize(n);
sz.resize(n, 1);
state.resize(n);
scnt.resize(k, 0);
cnt.resize(k, 0);
sep.resize(n, 0);
for(int i = 0; i < n-1; i++){
int a, b; cin >> a >> b; a--, b--;
tree[a].push_back(b);
tree[b].push_back(a);
}
for(int i = 0; i < n; i++){
cin >> state[i]; state[i]--;
scnt[state[i]]++;
}
pre_dfs(0, -1);
dfs(0, -1, 1);
dfs2(0, -1);
ans+=exta;
ans++;
ans/=2;
cout << ans << "\n";
}
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