Submission #1351128

#TimeUsernameProblemLanguageResultExecution timeMemory
1351128NewtonabcStranded Far From Home (BOI22_island)C++20
0 / 100
127 ms46268 KiB
#include<bits/stdc++.h>
using namespace std;
const int N=2e5+10;
long long a[N],s[N],val[N];
int pa[N];
bool w[N];
vector<int> adj[N],con,f[N],c[N];
set<pair<int,int>> ni[N];
int fd(int x){return lower_bound(con.begin(),con.end(),x)-con.begin();}
int root(int x){if(pa[x]==x) return x; return root(pa[x]);}
void merge(int u,int v){
    int ru=root(u),rv=root(v);
    if(ru==rv) return;
    if(ni[ru].size()>ni[rv].size()) swap(ru,rv),swap(u,v);
    val[rv]+=val[ru];
    for(auto x:ni[ru]) ni[rv].insert(x);
    ni[ru].clear();
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n,m; cin>>n >>m;
    for(int i=1;i<=n;i++) cin>>a[i],con.push_back(a[i]);
    for(int i=1;i<=n;i++) pa[i]=i,val[i]=a[i];
    sort(con.begin(),con.end());
    con.erase(unique(con.begin(),con.end()),con.end());
    for(int i=0;i<m;i++){
        int u,v; cin>>u >>v;
        adj[u].push_back(v);
        adj[v].push_back(u);
        if(a[u]<a[v]) ni[u].insert({a[v],v});
        else ni[v].insert({a[u],u});
    }
    for(int i=1;i<=n;i++) w[i]=1,f[fd(a[i])].push_back(i);
    int sz=con.size();
    for(int i=0;i<sz;i++){
        for(auto u:f[i]){
            for(auto v:adj[u]){
                if(a[v]<=a[u]) merge(u,v);
            }
            int ru=root(u);
            while(!ni[ru].empty() && ni[ru].begin()->first<=con[i]){
                ni[ru].erase(ni[ru].begin());
            }
            if(!ni[ru].empty() && val[ru]<ni[ru].begin()->first) w[ru]=0;
        }
    }
    for(int i=1;i<=n;i++){
        bool b=w[i];
        int t=i;
        while(t!=pa[t]) t=pa[t],b&=w[t];
        cout<<b;
    }

}
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