This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
ID: varunra2
LANG: C++
TASK: mergers
*/
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include "lib/debug.h"
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define debug_arr(...) \
cerr << "[" << #__VA_ARGS__ << "]:", debug_arr(__VA_ARGS__)
#pragma GCC diagnostic ignored "-Wsign-compare"
//#pragma GCC diagnostic ignored "-Wunused-parameter"
//#pragma GCC diagnostic ignored "-Wunused-variable"
#else
#define debug(...) 42
#endif
#define EPS 1e-9
#define IN(A, B, C) assert(B <= A && A <= C)
#define INF (int)1e9
#define MEM(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define MP make_pair
#define PB push_back
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define x first
#define y second
const double PI = acos(-1.0);
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef map<int, int> MPII;
typedef multiset<int> MSETI;
typedef set<int> SETI;
typedef set<string> SETS;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<string> VS;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto& a : x)
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef vector<int> vi;
#pragma GCC diagnostic ignored "-Wsign-compare"
// util functions
void merge(MPII& a, MPII& b) {
if (sz(a) < sz(b)) {
swap(a, b);
}
trav(x, b) a[x.x] += x.y;
}
int n, k;
VI totcnt;
VI sub;
VVI adj;
VI state;
vector<MPII> cnt;
// int badcnt = 0;
VI bad;
void init() {
adj.resize(n);
cnt.resize(n);
sub.resize(n);
state.resize(n);
totcnt.resize(n);
bad.resize(n);
}
void dfs(int u, int v) { // calc subsize/cnt
sub[u] = 1;
totcnt[state[u]]++;
for (auto& x : adj[u]) {
if (x == v) continue;
dfs(x, u);
sub[u] += sub[x];
}
}
void dfscnt(int u, int v) {
cnt[u][state[u]]++;
for (auto& x : adj[u]) {
if (x == v) continue;
dfscnt(x, u);
merge(cnt[u], cnt[x]);
}
// if we are dominating this subtree...
if (cnt[u][state[u]] == totcnt[state[u]] and totcnt[state[u]] == sub[u]) {
bad[state[u]] = 1;
}
if (v >= 0) {
if (cnt[u][state[v]] == 0 and (n - sub[u]) == totcnt[state[v]]) {
bad[state[v]] = 1;
}
}
}
int main() {
// #ifndef ONLINE_JUDGE
// freopen("mergers.in", "r", stdin);
// freopen("mergers.out", "w", stdout);
// #endif
cin.sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
if (k == 1) {
cout << "0\n";
return 0;
}
init();
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
u--, v--;
adj[u].PB(v);
adj[v].PB(u);
}
for (int i = 0; i < n; i++) {
cin >> state[i];
state[i]--;
}
dfs(0, -1);
dfscnt(0, -1);
cout << accumulate(all(bad), 1) / 2 << '\n';
return 0;
}
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