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>
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
using namespace std;
#define int long long
#define pb push_back
#define fore(i , n) for(int i = 0 ; i<n;i++)
#define forr(i , x , y) for(int i = x ; i <= y; i++)
#define forn(i , x , y) for(int i = x ; i >= y; i--)
const int N = 2e5 + 10;
vector<int> adj[N];
int a[N];
int n , m;
vector<int> ans(N , 0);
vector<bool> vis(N , 0);
int sz[N];
vector<int> nadj[N];
struct DSU
{
vector<int> e;
vector<int> sm;
DSU(int _n)
{
e.assign(_n , -1);
sm.assign(_n , 0);
fore(i , _n)
sm[i] = a[i];
}
int get(int x)
{
return (e[x] < 0 ? x : e[x] = get(e[x]));
}
int sum(int x)
{
return sm[get(x)];
}
void unite(int u , int v)
{
u = get(u) , v = get(v);
if(u == v)
return ;
sm[u]+=sm[v];
e[u]+=e[v];
e[v] = u;
}
};
void dfsCompute(int x)
{
for(auto u : nadj[x])
{
if(vis[u])
continue;
if(sz[u] >= a[x])
{
ans[u] = 1;
dfsCompute(u);
}
}
}
signed main()
{
cin>>n>>m;
vector<pair<int ,int>> order;
fore(i , n)
{
cin>>a[i];
order.pb({a[i] , i});
}
fore(i , m)
{
int u , v;
cin>>u>>v;
u-- , v--;
adj[u].pb(v);
adj[v].pb(u);
}
sort(order.begin() , order.end());
DSU dsu(n);
vector<bool> mark(n , 0);
fore(j , n)
{
int i = order[j].second;
mark[i] = 1;
for(auto u : adj[i])
{
u = dsu.get(u);
if(!mark[u] || u == i)
continue;
if(sz[u] >= a[i]) {
nadj[i].pb(u);
}
dsu.unite(i , u);
}
sz[i] = dsu.sum(i);
}
ans[order.back().second] = 1;
dfsCompute(order.back().second);
fore(i , n)
cout<<ans[i];
}
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