Submission #706864

#TimeUsernameProblemLanguageResultExecution timeMemory
706864AntekbMergers (JOI19_mergers)C++14
100 / 100
1163 ms157044 KiB
#include<bits/stdc++.h>
 
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
 
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define pp(x) pop_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
 
using namespace std;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~~
 
template <typename H, typename T> 
ostream& operator<<(ostream& os, pair<H, T> m){
	return os <<"("<< m.st<<", "<<m.nd<<")";
}
template <typename H> 
ostream& operator<<(ostream& os, vector<H> V){
	os<<"{";
	for(int i=0; i<V.size(); i++){
		if(i)os<<" ";
		os<<V[i];
	}
	os<<"}";
	return os;
}
 
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
//#define deb(x...) ;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~
 
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

 
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
 
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
 
const int K=19, N=1<<K, INF=1e9+5, mod2=1e9+7, mod=998244353;

struct modint{
	int n=0;
	modint(){}
	modint(ll x){
		n=x%mod;
		if(n<0)n+=mod;
	}
	operator int(){
		return n;
	}
	modint operator+(modint a){a.n = n+a.n; if(a.n>=mod)a.n-=mod;return a;}
	modint operator+=(modint a){return (*this)=(*this)+a;}
	modint operator-(modint a){a.n = n-a.n; if(a.n<0)a.n+=mod;return a;}
	modint operator-=(modint a){return (*this)=(*this)-a;}
	modint operator*(modint a){a.n = (n*1ll*a.n)%mod; return a;}
	modint operator*=(modint a){return (*this)=(*this)*a;}
	modint operator^(const ll &m)const{
		modint a(1);
		if(m==0)return a;
		if(m==1)return (*this);
		a=(*this)^(m/2);
		a*=a;
		return a*((*this)^(m&1));
	}
	modint odw(){
		return (*this)^((ll)mod-2);
	}
	modint operator/(modint a){return (*this)*a.odw();}
	modint operator/=(modint a){return (*this)=(*this)/a;}
	bool operator==(modint a){return a.n==n;}
	friend ostream& operator<<(ostream& os, modint m) {
		return os << m.n; 
	}
};
modint fact[N], fact2[N];
typedef vector<modint> vm;
void factinit(){
    fact[0]=1;
    for(int i=1; i<N; i++){
        fact[i]=(fact[i-1]*modint(i))%mod;
    }
    fact2[N-1]=fact[N-1].odw();
    for(int i=N-2; i>=0; i--){
    	fact2[i]=(fact2[i+1]*modint(i+1))%mod;
    }
}
modint npok(int _n, int _k){
    return fact[_n]*fact2[_k]*fact2[_n-_k];
}
vi E[N], E2[N], kto[N];
int r[N], col[N], par[K][N], d[N];
int find(int v){
	if(r[v]==v)return v;
	return r[v]=find(r[v]);
}
void Union(int a, int b){
	a=find(a);
	b=find(b);
	r[a]=b;
}
void dfs(int v){
	for(int i:E[v]){
		if(i!=par[0][v]){
			d[i]=d[v]+1;
			par[0][i]=v;
			dfs(i);
		}
	}
}
int lca(int u, int v){
	if(u==v)return u;
	if(d[u]>d[v])swap(u, v);
	for(int k=K-1; k>=0; k--){
		if(d[u]+(1<<k)<=d[v])v=par[k][v];
	}
	if(u==v)return v;
	for(int k=K-1; k>=0; k--){
		if(par[k][u]!=par[k][v]){
			u=par[k][u];
			v=par[k][v];
		}
	}
	return par[0][v];
}
int main(){
	//factinit();
	//BOOST;
	int n, k;
	cin>>n>>k;
	for(int i=1; i<n; i++){
		int u, v;
		cin>>u>>v;
		E[u].pb(v);
		E[v].pb(u);
	}
	for(int i=1; i<=n; i++){
		int c;
		cin>>c;
		kto[c].pb(i);
		r[i]=i;
	}
	d[1]=1;
	dfs(1);
	for(int k=1; k<K; k++){
		for(int i=1; i<=n; i++){
			par[k][i]=par[k-1][par[k-1][i]];
		}
	}
	for(int i=1; i<=k; i++){
		int v=kto[i][0];
		for(int j:kto[i]){
			v=lca(v, j);
		}
		for(int j:kto[i]){
			while(find(j)!=find(v)){
				Union(j, par[0][j]);
				j=find(j);
			}
		}
	}
	for(int i=2; i<=n; i++){
		if(find(i)!=find(par[0][i])){
			E2[find(i)].pb(find(par[0][i]));
			E2[find(par[0][i])].pb(find(i));
		}
	}
	int l=0;
	for(int i=1; i<=n; i++){
		if(E2[i].size()){
			E2[i].resize(unique(all(E2[i]))-E2[i].begin());
			if(E2[i].size()==1)l++;
		}
	}
	cout<<(l+1)/2;
}
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