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>
#define fr(i, n, m) for(int i = (n); i < (m); i ++)
#define st first
#define nd second
#define pb push_back
#define pq priority_queue
#define all(x) begin(x), end(x)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
const int mxn = 2e5 + 5;
int n, m;
vector<int> g[mxn];
ll a[mxn];
vector<int> S[mxn];
vector<int> G[mxn];
ll sum[mxn];
int v_count = 0;
int vis_ver[mxn];
int vis_edg[mxn];
bool yes[mxn];
vector<int> merge(int u, int v){
vector<int> cand;
for(auto vp : S[v]){
if(vis_ver[vp] == v_count) continue;
yes[u] |= yes[vp];
S[u].pb(vp);
sum[u] += a[vp];
vis_ver[vp] = v_count;
}
for(auto ep : G[v]){
if(vis_edg[ep] == v_count || vis_ver[ep] == v_count) continue;
G[u].pb(ep);
cand.pb(ep);
vis_edg[ep] = v_count;
}
return cand;
}
void expand(int u){
++v_count;
for(auto e : S[u]) vis_ver[e] = v_count;
for(auto e : G[u]) vis_edg[e] = v_count;
pq <pair<int,int> > Q;
for(auto e : G[u]) Q.push({-a[e], e});
while(!Q.empty() && !yes[u]){
int c = Q.top().nd;
Q.pop();
if(vis_ver[c] == v_count) continue;
if(sum[u] < a[c]) continue;
vector<int> cand = merge(u, c);
for(auto c : cand){
Q.push({-a[c], c});
}
}
}
int main(){
cin >> n >> m;
fr(i, 0, n){
cin >> a[i];
}
fr(i, 0, m){
int u, v;
cin >> u >> v;
--u, --v;
g[u].pb(v);
g[v].pb(u);
}
fr(i, 0, n){
G[i] = g[i];
S[i] = {i};
sum[i] = a[i];
}
vector<int> V;
fr(i, 0, n) V.pb(i);
sort(all(V), [](const int &i, const int &j){
return a[i] > a[j];
});
yes[V[0]] = true;
fr(i, 1, n){
expand(V[i]);
}
fr(i, 0, n){
if(yes[i]) cout<<1;
else cout<<0;
}
}
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