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;
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ii pair<int,int>
const int nax=2e5+5;
vector<int> adj[nax];
vector<int> newadj[nax];
bool vis[nax];
int tab[nax];
bool state[nax];
long long sz[nax];
int res[nax];
bool compare(int x,int y){
return tab[x]>tab[y];
}
struct node{
int child,par,x,p;
};
struct compare2{
bool operator()(node const& p1, node const& p2)
{
if(p1.child!=p2.child) return p1.child < p2.child;
else return p1.par > p2.par;
}
};
void build(int x){
vis[x]=true;
priority_queue<node,vector<node>,compare2> pq;
for(auto u:adj[x]){
pq.push({tab[u],tab[x],u,x});
}
while(!pq.empty()){
auto cur=pq.top();
pq.pop();
if(vis[cur.x]) continue;
//cout <<cur.x<<" "<<cur.p<<endl;
newadj[cur.x].pb(cur.p);
newadj[cur.p].pb(cur.x);
vis[cur.x]=true;
for(auto u:adj[cur.x]){
pq.push({tab[u],tab[cur.x],u,cur.x});
}
}
}
void dfs(int x,int p){
sz[x]=tab[x];
//cout <<newadj[x].size()<<" "<<x<<endl;
for(auto u:newadj[x]){
if(u==p) continue;
dfs(u,x);
sz[x]+=sz[u];
}
if(p!=-1){
if(sz[x]>=tab[p]) state[x]=1;
else state[x]=0;
}
}
void ans(int x,int p){
if(state[x]==0) return;
res[x]=1;
for(auto u:newadj[x]){
if(u==p) continue;
ans(u,x);
}
}
int main() {
int n,m;
cin>>n>>m;
pair<int,int> mx={-1,-1};
for (int i = 0; i < n; ++i)
{
cin>>tab[i];
if(mx.fi<tab[i]){
mx={tab[i],i};
}
}
for (int i = 0; i < m; ++i)
{
int x,y;
cin>>x>>y;
x--;y--;
if(tab[x]==tab[y]){
adj[x].pb(y);
adj[y].pb(x);
}else if(tab[x]>tab[y]){
adj[x].pb(y);
}else{
adj[y].pb(x);
}
}
for (int i = 0; i < n; ++i)
{
sort(adj[i].begin(),adj[i].end(),compare);
}
build(mx.se);
state[mx.se]=true;
dfs(mx.se,-1);
ans(mx.se,-1);
for (int i = 0; i < n; ++i)
{
cout <<res[i];
}
}
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