Submission #469551

#TimeUsernameProblemLanguageResultExecution timeMemory
469551ahmeterenSjekira (COCI20_sjekira)C++14
110 / 110
75 ms9928 KiB
#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5;

int size[N], mx[N], root[N];
vector<int> vec[N];

int find_set(int node)
{
	if(root[node] == node)
		return node;

	return root[node] = find_set(root[node]);
}

void union_set(int a, int b)
{
	a = find_set(a), b = find_set(b);

	if(size[a] < size[b])
		swap(a, b);

	size[a] += size[b];
	root[b] = a;
	mx[a] = max(mx[a], mx[b]);
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	
	long long n, cevap = 0;
	cin >> n;

	vector<pair<int, int> > v(n + 1);

	for(int i = 1; i <= n; i++)
	{
		cin >> mx[i];

		root[i] = i;
		size[i] = 1;

		v[i] = {mx[i], i};
	}

	for(int i = 1; i < n; i++)
	{
		int u, v;
		cin >> u >> v;

		vec[u].push_back(v);
		vec[v].push_back(u);
	}

	sort(v.begin() + 1, v.end());

	for(int i = 1; i <= n; i++)
	{
		int node = v[i].second;

		for(auto to : vec[node])
		{
			if(mx[find_set(to)] <= v[i].first)
			{
				if(find_set(to) != find_set(node))
				{
					cevap += v[i].first + mx[find_set(to)];
					union_set(node, to);
				}
			}
		}
	}

	cout << cevap << '\n';

	return 0;
}
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