이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::steady_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct Info{
vi winners;
ll s;
Info(vi xd = {}, ll x = 0LL){
winners = xd;
s = x;
}
};
const int MAXN = 2e5 + 7;
vi g[MAXN];
ll a[MAXN];
Info tab[MAXN];
int rep[MAXN];
int was[MAXN];
int n, m;
int Find(int v){
if(rep[v] == v){
return v;
}
return rep[v] = Find(rep[v]);
}
void Union(int u, int v, int f){
if(!f){
tab[u].winners.clear();
tab[v].s = (ll)tab[v].s + tab[u].s;
rep[u] = v;
return;
}
if(sz(tab[u].winners) < sz(tab[v].winners)){
swap(u, v);
}
for(auto ele : tab[v].winners){
tab[u].winners.pb(ele);
}
tab[u].s = (ll)tab[u].s + tab[v].s;
rep[v] = u;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
vector<pii> vec;
for(int i = 1; i <= n; i++){
cin >> a[i];
vec.pb({(int)a[i], i});
rep[i] = i;
was[i] = 0;
tab[i] = Info({i}, (ll)a[i]);
}
for(int i = 0; i < m; i++){
int u, v;
cin >> u >> v;
g[u].pb(v);
g[v].pb(u);
}
sort(all(vec));
for(int i = 0; i < n; i++){
int v = vec[i].se;
// int c = vec[i].fi;
was[v] = 1;
for(auto u : g[v]){
if(was[u]){
int r = Find(u);
int nasz = Find(v);
if(r == nasz){
continue;
}
if(tab[r].s >= a[v]){
Union(r, nasz, 1);
}else{
Union(r, nasz, 0);
}
}
}
}
int r = Find(1);
vi ans(n + 1, 0);
for(auto ele : tab[r].winners){
ans[ele] = 1;
}
for(int i = 1; i <= n; i++){
cout << ans[i];
}
cout << '\n';
return 0;
}
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