Submission #580207

#TimeUsernameProblemLanguageResultExecution timeMemory
580207kamelfanger83Stranded Far From Home (BOI22_island)C++17
100 / 100
687 ms76728 KiB
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>

#define int long long

using namespace std;

signed main(){
    int n, m; cin >> n >> m;
    vector<int> inh;
    vector<vector<int>> cons; cons.resize(n);
    int s;
    for (int reader = 0; reader < n; ++reader) {
        cin >> s;
        inh.push_back(s);
    }
    int a, b;
    for (int reader = 0; reader < m; ++reader) {
        cin >> a >> b; a--; b--;
        cons[a].push_back(b);
        cons[b].push_back(a);
    }

    //vector<bool> rall (n);????????????????
    vector<bool> poss; poss.resize(n, true);
    vector<int> group (n); for(int i = 0; i < n; i++) group[i] = i;
    vector<int> sum = inh;
    vector<set<int>> isin;isin.resize(n); for(int i = 0; i < n; i++) isin[i].insert(i);


    auto get = [&](int u){
        int s = u;
        while(group[u] != u) u = group[u];
        while(group[s] != s){
            int beg = group[s];
            group[s] = u;
            s = group[beg];
        }
        return u;
    };

    auto unite = [&](int u, int v){
        u = get(u); v = get(v);
        if (u==v) return;
        if(isin[u].size() < isin[v].size()) swap(u, v);
        group[v] = u;
        sum[u] += sum[v];
        for(int ins : isin[v]) isin[u].insert(ins);
    };

    vector<int> scanl (n); for (int i = 0; i < n; ++i) scanl[i] = i;

    auto compinh = [&](int r, int s) {return inh[r] < inh[s];};

    sort(scanl.begin(), scanl.end(), compinh);

    for (int scanner : scanl) {
        for(int c : cons[scanner]){
            if(inh[c] <= inh[scanner]){
                if(sum[get(c)] < inh[scanner]){
                    for(int killer : isin[get(c)]) poss[killer] = false;
                    isin[get(c)].clear();
                }
                unite(c, scanner);
            }
        }
    }

    for(bool printr : poss) cout << printr;

    return 0;
}
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