Submission #365791

#TimeUsernameProblemLanguageResultExecution timeMemory
365791negar_aCapital City (JOI20_capital_city)C++14
1 / 100
2059 ms39404 KiB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
#define pb push_back
#define mp make_pair
#define pii pair <int, int>
#define fast_io ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define F first
#define S second

const int maxn = 2e5 + 5;
vector <int> adj[maxn], vec[maxn];
int sz[maxn], par[maxn], c[maxn];
int ans = INT_MAX;
bool cent[maxn], mark[maxn], com[maxn], visit[maxn];

void dfs(int v, bool f, int p = -1){
	sz[v] = 1;
	com[v] = f;
	for(int u : adj[v]){
		if(!cent[u] && u != p){
			dfs(u, f, v);
			sz[v] += sz[u];
		}
	}
}
int find_centroid(int v, int s, int p = -1){
	for(int u : adj[v]){
		if(!cent[u] && u != p && sz[u] > s / 2){
			return find_centroid(u, s, v);
		}
	}
	return v;
}
void dfs2(int v, int p = -1){
	for(int u : adj[v]){
		if(!cent[u] && u != p){
			par[u] = v;
			dfs2(u, v);
		}
	}
}

void solve(int v){
	dfs(v, 1);
	int cn = find_centroid(v, sz[v]);
//	cout << "cen : " << cn << endl; 
	
	par[cn] = -1;
	dfs2(cn);
	
	queue <int> q;
	vector <int> vc;
	
	q.push(c[cn]);
	bool flag = true; 
	mark[c[cn]] = true;
	while(q.size() && flag){
		int x = q.front();
		q.pop();
		vc.pb(x);
		if(visit[x])
			flag = false;
		for(int u : vec[x]){
			if(!com[u])
				flag = false;
			if(par[u] != -1 && !mark[c[par[u]]]){
				q.push(c[par[u]]);
				mark[c[par[u]]] = true;
			}
		}
	}
	visit[c[cn]] = true;
	if(flag){
		ans = min(ans, (int)vc.size() - 1);
	}
		
	//clear
	for(int u : vc)
		mark[u] = false;
	dfs(v, 0);
		
	cent[cn] = true;
	for(int u : adj[cn]){
		if(!cent[u]){
			solve(u);
		}
	}
}

int main(){
	fast_io;
	int n, k;
	cin >> n >> k;
	for(int i = 0; i < n - 1; i ++){
		int x, y;
		cin >> x >> y;
		x --; y --;
		adj[x].pb(y);
		adj[y].pb(x);
	}
	for(int i = 0; i < n; i ++){
		cin >> c[i];
		vec[c[i]].pb(i);
	}
	ans = k - 1;
	solve(0);
	cout << ans;
	
	return 0;
}
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