제출 #796750

#제출 시각아이디문제언어결과실행 시간메모리
796750ToniBStranded Far From Home (BOI22_island)C++17
100 / 100
179 ms37256 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 2e5 + 2;

int n, m, s[MAXN], uf[MAXN], sz[MAXN];
ll sum[MAXN];
vector<int> adj[MAXN], d[MAXN];
vector<pair<int, int> > v;
bool bio[MAXN], ans[MAXN];

int f(int x){
	while(uf[x] != -1) x = uf[x];
	return x;
}
void join(int u, int v, bool good){
	if(u == v) return ;
	if(sz[u] > sz[v]){
		swap(u, v);
		swap(d[u], d[v]);
	}
	uf[u] = v;
	sz[v] += sz[u];
	sum[v] += sum[u];
	if(good){
		if(d[v].size() < d[u].size()) swap(d[u], d[v]);
		for(int x : d[u]) d[v].push_back(x);
	}
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);

	cin >> n >> m;
	for(int i = 0; i < n; ++i){
		cin >> s[i];
		v.push_back({s[i], i});
		uf[i] = -1; sz[i] = 1;
		d[i] = {i};
		sum[i] = s[i];
	}
	for(int i = 0; i < m; ++i){
		int u, v;
		cin >> u >> v, --u, --v;
		adj[u].push_back(v); adj[v].push_back(u);
	}
	sort(v.begin(), v.end());
	for(pair<int, int> p : v){
		for(int x : adj[p.second]){
			if(bio[x]){
				int root = f(x);
				join(root, f(p.second), sum[root] >= s[p.second]);
			}
		}
		bio[p.second] = 1;
	}
	for(int i = 0; i < n; ++i) ans[i] = 0;

	int source = f(v.back().second);
	for(int x : d[source]) ans[x] = 1;
	for(int i = 0; i < n; ++i) cout << ans[i];
	return 0;
}
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