Submission #748505

#TimeUsernameProblemLanguageResultExecution timeMemory
748505inventiontimeStranded Far From Home (BOI22_island)C++17
100 / 100
464 ms80932 KiB
#include <bits/stdc++.h>
using namespace std;

#define int ll
#define endl '\n' //comment for interactive
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)

#define pb push_back
#define re resize
#define ff first
#define ss second

#define all(x) (x).begin(), (x).end()
#define all1(x) (x).begin()+1, (x).end()
#define loop(i, n) for(int i = 0; i < n; i++)
#define loop1(i, n) for(int i = 1; i <= n; i++)

#define print(x) cout << #x << ": " << x << endl << flush

typedef long long ll;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef array<int, 2> ii;
typedef array<int, 3> ti;
typedef vector<ii> vii;
typedef vector<ti> vti;
typedef vector<vi> vvi;
typedef priority_queue<int> pq;

template<class T> bool ckmin(T&a, T b) { bool B = a > b; a = min(a, b); return B; }
template<class T> bool ckmax(T&a, T b) { bool B = a < b; a = max(a, b); return B; }

const int inf = 1e17;

struct ufds {

    vi par;
    vector<set<int>> st; 
    ufds(vi a) : par(a), st(par.size()) {
        for(int i = 0; i < par.size(); i++) {
            par[i] = -par[i];
            st[i].insert(i);
        }
    };

    int find(int u) {
        if(par[u] < 0) return u;
        return par[u] = find(par[u]);
    }

    int size(int u) {
        return -par[find(u)];
    }

    bool merge(int u, int v) {
        u = find(u);
        v = find(v);
        if(u == v) return false;

        if(st[u].size() < st[v].size()) swap(u, v);
        for(auto x : st[v])
            st[u].insert(x);
        par[u] += par[v];
        par[v] = u;

        return true;
    }

    set<int>& setof(int u) {
        return st[find(u)];
    }

};

void solve() {

    int n, m;
    cin >> n >> m;
    vi s(n+1);
    vii ss(n+1);
    vi adj[n+1];
    loop1(i, n)
        cin >> s[i];
    loop1(i, n)
        ss[i] = {s[i], i};
    sort(all1(ss));
    loop1(i, m) {
        int u, v;
        cin >> u >> v;
        adj[u].pb(v);
        adj[v].pb(u);
    }
    
    vb incl(n+1);
    ufds ufds(s);
    vb valid(n+1, true);
    loop1(i, n) {
        auto [su, u] = ss[i];
        incl[u] = true;
        for(auto v : adj[u]) if(incl[v]) {
            if(ufds.find(u) != ufds.find(v)) {
                if(ufds.size(v) < ufds.size(u)) {
                    set<int>& st = ufds.setof(v);
                    for(auto x : st) valid[x] = false;
                    st.clear();
                }
            }
        }
        for(auto v : adj[u]) if(incl[v])
            ufds.merge(u, v);
    }

    loop1(i, n) cout << valid[i];
    cout << endl;

}

signed main() {

    fast_io;

    int t = 1; //cin >> t;
    while(t--)
        solve();

    return 0;

}

Compilation message (stderr)

island.cpp: In constructor 'ufds::ufds(vi)':
island.cpp:40:26: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |         for(int i = 0; i < par.size(); i++) {
      |                        ~~^~~~~~~~~~~~
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