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 vt vector
#define pb push_back
#define all(x) x.begin(),x.end()
#define FORR1(x) for(int i = 0; i < (x); i++)
#define FORR2(j,x) for(int (j) = 0; (j) < (x); (j)++)
#define f first
#define s second
#define MOD 998244353
#define INF INT_MAX
typedef vt<int> vi;
typedef vt<long long> vl;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ll,int> pli;
struct Segtree{
vl arr;
vl lz1;
vl lz2;
int sz = 1;
void init(int n, vl cop) {
while(sz<n)sz*=2;
arr.resize(2*sz);
lz1.resize(2*sz);
lz2.resize(2*sz);
FORR1(n){
arr[sz+i] = cop[i];
}
FORR1(sz-n){
arr[sz+i+n] = 0;
}
for(int i = sz-1; i>0; i--){
arr[i] = arr[2*i]+arr[2*i+1];
}
FORR1(2*sz){
lz1[i] = lz2[i] = 0;
}
}
void pushlazy(int x, int lth){
if(lth==1){
arr[x] += lz1[x];
lz1[x] = 0;
lz2[x] = 0;
return;
}
arr[x] += lz1[x]*lth + (((ll)lth*(lth-1))>>1)*lz2[x];
lz1[2*x] +=lz1[x];
lz2[2*x] += lz2[x];
lz1[2*x+1] += lz1[x]+(lth>>1)*lz2[x];
lz2[2*x+1] += lz2[x];
lz1[x] = lz2[x] = 0;
}
void add(int index, int val){
int cur = index+sz;
while(cur!=0){
arr[cur]+=val;
cur>>=1;
}
}
ll get(int l, int r, int x, int lx, int rx){
if(lx>r||l>rx){
return 0;
}else if(l<=lx && r>=rx){
pushlazy(x,rx-lx+1);
return arr[x];
}else{
pushlazy(x,rx-lx+1);
int mid = (lx+rx)>>1;
return get(l,r,2*x,lx,mid)+get(l,r,2*x+1,mid+1,rx);
}
}
ll get(int l, int r){
return get(l,r,1,0,sz-1);
}
void set1(int l, int r, int x, int lx, int rx){
pushlazy(x,rx-lx+1);
if(l>rx||r<lx){
return;
}else if(l<=lx&&r>=rx){
lz1[x] = 1+lx-l;
lz2[x] = 1;
pushlazy(x,rx-lx+1);
}else{
int mid = (lx+rx)>>1;
set1(l,r,2*x,lx,mid);
set1(l,r,2*x+1,mid+1,rx);
arr[x] = arr[2*x]+arr[2*x+1];
}
}
void set1(int l, int r){
set1(l,r,1,0,sz-1);
}
};
int pp[200005];
ll sums[200005];
int vals[200005];
vi up[200005];
vi dn[200005];
bool ans[200005];
set<pli> st[200005];
int find(int x){
return (x==pp[x] ? x : pp[x] = find(pp[x]));
}
void join(int a, int b){
int u = find(a), v = find(b);
if(u==v)return;
if(st[u].size()<st[v].size())swap(u,v);
for(auto& e: st[v])st[u].insert(e);
sums[u]+=sums[v];
pp[v] = u;
}
int go[200005];
void solve() {
int n, m;
cin>>n>>m;
FORR1(n)cin>>vals[i];
FORR1(m){
int u, v;
cin>>u>>v;u--;v--;
if(make_pair(vals[u],u)>make_pair(vals[v],v)){
up[v].pb(u);
dn[u].pb(v);
}else{
up[u].pb(v);
dn[v].pb(u);
}
}
vt<pli> arr(n);
FORR1(n)arr[i] = {vals[i],i};
sort(all(arr));
FORR1(n){
pp[i] = i;
sums[i] = vals[i];
go[i] = -1;
}
FORR1(n){
for(auto& e: up[i]){
st[i].insert({vals[e],e});
}
}
FORR1(n){
int x = arr[i].s;
for(auto& e: dn[x]){
join(x,e);
}
int u = find(x);
if(dn[x].size()!=0)st[u].erase(st[u].find(arr[i]));
if(!st[u].empty()){
auto it = *st[u].begin();
if(sums[u]>=it.f){
go[x] = it.s;
}
}
}
ans[arr[n-1].s] = 1;
for(int i = n-2; i>=0; i--){
int x = arr[i].s;
if(go[x]!=-1&&ans[go[x]]){
ans[x] = 1;
}else{
ans[x] = 0;
}
}
FORR1(n)cout<<ans[i];
cout<<'\n';
}
int main(){
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
solve();
return 0;
}
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