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;
const int N = 200'000 + 10;
int n, m;
int s[N];
vector<int> ad[N];
namespace sub1 {
static const int SZ = 2000 + 10;
bool f[SZ];
void solve() {
for (int i = 1; i <= n; ++i) {
using pii = pair<int, int>;
priority_queue<pii, vector<pii>, greater<>> q;
for (const auto& v : ad[i]) q.push({s[v], v});
memset(f, false, sizeof f);
long long total = s[i]; f[i] = true;
while (q.size()) {
auto [cnt, u] = q.top(); q.pop();
if (f[u] || total < cnt) continue;
total += cnt;
f[u] = true;
for (const auto& v : ad[u])
if (!f[v]) q.push({s[v], v});
}
cout << *min_element(f + 1, f + n + 1);
}
cout << "\n";
}
}
namespace sub2 {
long long d[N];
void dfs0(int u, int p = -1) {
d[u] = s[u];
for (const auto& v : ad[u]) {
if (v == p) continue;
dfs0(v, u);
d[u] += d[v];
}
}
bool f[N];
void dfs1(int u, int p = -1) {
for (const auto& v : ad[u]) {
if (v == p) continue;
if (d[v] >= s[u]) f[v] |= f[u];
dfs1(v, u);
}
}
void solve() {
dfs0(1);
dfs1(f[1] = 1);
for (int i = 1; i <= n; ++i) cout << f[i];
cout << "\n";
}
}
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m;
for (int i = 1; i <= n; ++i) cin >> s[i];
for (int i = 1; i <= m; ++i) {
int u, v; cin >> u >> v;
ad[u].push_back(v);
ad[v].push_back(u);
}
if (n <= 2000 && m <= 2000) { sub1::solve(); return 0; }
bool sub2 = (m == n - 1);
for (int i = 1; i < n; ++i) sub2 &= (s[i] >= s[i + 1]);
if (sub2) { sub2::solve(); return 0; }
}
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