Submission #1178433

#TimeUsernameProblemLanguageResultExecution timeMemory
1178433kl0989eStranded Far From Home (BOI22_island)C++20
100 / 100
355 ms74176 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pi pair<int, int>
#define pl pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(),(x).end()

const int maxn=2e5+10;

vector<set<int>> ok(maxn);
vector<vi> graph(maxn);
vl sums(maxn,0);
vl vals(maxn,0);
vi head(maxn);

int get(int a) {
	return (a==head[a]?a:head[a]=get(head[a]));
}

int32_t main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
	iota(all(head),0);
	int n,m;
	cin >> n >> m;
	for (int i=0; i<n; i++) {
		cin >> sums[i];
		vals[i]=sums[i];
		ok[i].insert(i);
	}
	int a,b;
	for (int i=0; i<m; i++) {
		cin >> a >> b;
		graph[--a].pb(--b);
		graph[b].pb(a);
	}
	vi ord(n);
	iota(all(ord),0);
	sort(all(ord),[&](int a, int b){return sums[a]<sums[b];});
	for (int i=0; i<n; i++) {
		for (auto to:graph[ord[i]]) {
			if (vals[to]>vals[ord[i]]) {
				continue;
			}
			int a=get(to);
			int b=get(ord[i]);
			if (a==b) {
				continue;
			}
			if (sums[a]<vals[ord[i]]) {
				ok[a].clear();
			}
			sums[b]+=sums[a];
			head[a]=b;
			if (ok[b].size()<ok[a].size()) {
				swap(ok[a],ok[b]);
			}
			for (auto add:ok[a]) {
				ok[b].insert(add);
			}
		}
	}
	int rt=get(0);
	for (int i=0; i<n; i++) {
		cout << ok[rt].count(i);
	}
	cout << '\n';
}
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