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;
using ll = long long;
int main() {
int n, m;
cin >> n >> m;
vector s(n, 0);
for (int& i : s) cin >> i;
vector<int> ix(n);
for (int i{}; i < n ;i++) ix[i] = i;
stable_sort(ix.begin(), ix.end(), [&](int a, int b) {
return s[a] > s[b];
});
vector<int> jx(n);
for (int i = 0; i < n; i ++)
jx[ix[i]] = i;
stable_sort(s.begin(), s.end(), greater{});
vector<vector<int>> adj(n);
for (int i = 0; i < m ;i++) {
int u, v;
cin >> u >> v;
u--;v--;
adj[jx[u]].push_back(jx[v]);
adj[jx[v]].push_back(jx[u]);
}
//for (int i : ix) cout << i << ' ';cout << endl;
//for (int i : jx) cout << i << ' ';cout << endl;
//for (int i : s) cout << i << ' ';cout << endl;
string res(n, '?');
vector<int> back(n, -1);
for (int i =n -1; i >= 0;i --) {
set<pair<int,int>> st;
vector vis(n, 0);
st.emplace(0, i);
vis[i] = 1;
ll sum = s[i];
while (st.size()) {
auto [w, j] = *st.begin();
if (sum < w) break;
if (j < i) {
back[i] = j;
break;
}
st.erase(st.begin());
sum += w;
for (int e : adj[j]) {
if (!vis[e]) {
vis[e] = 1;
st.emplace(s[e], e);
}
}
}
if (back[i] == -1)
res[i] = char('0' + st.empty());
}
string ans(n, '?');
assert(res[0] == '1');
for (int i = 1; i < n;i++) {
if (back[i] != -1) res[i] = res[back[i]];
}
for (int i = 0; i < n; i++) {
ans[ix[i]] = res[i];
}
cout << ans << '\n';
}
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