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Submission #850396

# Submission time Handle Problem Language Result Execution time Memory
850396 2023-09-16T13:52:35 Z MinaRagy06 Stranded Far From Home (BOI22_island) C++17
0 / 100
 13 ms 9556 KB 
#include <bits/stdc++.h>
using namespace std;
typedef int64_t ll;

int par[100'005], sz[100'005], bad[100'005];
ll cnt[100'005];
vector<int> adj[100'005];
pair<int, int> find(int u) {
    if (par[u] == u) {
        return {u, bad[u]};
    }
    pair<int, int> v = find(par[u]);
    bad[u] |= v.second;
    par[u] = v.first;
    return {par[u], bad[u]};
}
void join(int u, int v) {
    u = find(u).first, v = find(v).first;
    if (u == v) return;
    par[v] = u, sz[u] += sz[v], cnt[u] += cnt[v];
    for (auto nxt : adj[v]) {
        int x = find(nxt).first;
        if (x != u) {
            adj[u].push_back(x);
        }
    }
}
int main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < n; i++) {
        par[i] = i, sz[i] = 1, bad[i] = 0;
        cin >> cnt[i];
    }
    for (int i = 0, u, v; i < m; i++) {
        cin >> u >> v;
        u--, v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    priority_queue<pair<ll, int>> pq;
    for (int i = 0; i < n; i++) {
        pq.push({-cnt[i], i});
    }
    while (pq.size()) {
        int node = pq.top().second;
        ll val = -pq.top().first;
        pq.pop();
        if (node != par[node]) {
            continue;
        }
        if (val != cnt[node]) {
            continue;
        }
        if (sz[node] == n) {
            continue;
        }
        int x = -1;
        for (auto nxt : adj[node]) {
            if (find(nxt).first != node && val >= cnt[find(nxt).first]) {
                x = find(nxt).first;
                break;
            }
        }
        if (x == -1) {
            bad[node] = 1;
            continue;
        }
        join(node, x);
        int New = find(node).first;
        pq.push({-cnt[New], New});
    }
    for (int i = 0; i < n; i++) {
        cout << !find(i).second;
    }
    cout << '\n';
    return 0;
}

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4712 KB Output is correct
4 Incorrect 2 ms 4700 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4700 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Runtime error 13 ms 9308 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4700 KB Output is correct
2 Runtime error 12 ms 9556 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4700 KB Output is correct
2 Runtime error 12 ms 9092 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4712 KB Output is correct
4 Incorrect 2 ms 4700 KB Output isn't correct
5 Halted 0 ms 0 KB -