This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int main()
{
size_t n, m;
cin >> n >> m;
vector<uint64_t> s(n);
uint64_t total_size = 0;
for (uint64_t &x : s)
cin >> x, total_size += x;
vector<pair<unsigned, unsigned>> p(n);
for (size_t i = 0; i < n; i++)
p[i] = {s[i], i};
sort(p.begin(), p.end());
vector<vector<unsigned>> g(n);
for (size_t i = 0; i < m; i++)
{
unsigned u, v;
cin >> u >> v;
g[u - 1].push_back(v - 1);
g[v - 1].push_back(u - 1);
}
vector<bool> z(n, 0);
for (auto const &[___, i] : p)
{
if (z[i])
continue;
priority_queue<pair<unsigned, unsigned>, vector<pair<unsigned, unsigned>>, greater<pair<unsigned, unsigned>>> q;
vector<bool> visited(n, 0);
visited[i] = 1;
uint64_t curr_size = s[i];
for (unsigned const &v : g[i])
q.emplace(s[v], v), visited[v] = 1;
while (!q.empty())
{
auto const [x, u] = q.top();
q.pop();
if (x > curr_size)
break;
curr_size += x;
for (unsigned const &v : g[u])
if (!visited[v])
{
q.emplace(s[v], v);
visited[v] = 1;
}
}
z[i] = curr_size == total_size;
if (z[i])
{
queue<unsigned> q;
for (unsigned const &v : g[i])
if (s[v] >= s[i] && !z[v])
q.push(v);
while (!q.empty())
{
z[q.front()] = 1;
for (unsigned const &v : g[q.front()])
if (s[v] >= s[q.front()] && !z[v])
q.push(v);
q.pop();
}
}
}
for (size_t i = 0; i < n; i++)
cout << (unsigned)z[i];
cout << '\n';
}
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