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Submission #1025302

# Submission time Handle Problem Language Result Execution time Memory
1025302 2024-07-16T19:34:21 Z overwatch9 Stranded Far From Home (BOI22_island) C++17
25 / 100
 1000 ms 36292 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 2e5 + 1;
ll S[maxn];
vector <int> adj[maxn];
vector <int> mark[maxn];
bool ans[maxn];
bool inserted[maxn], vis[maxn], in_marked[maxn];
int id[maxn];
struct DSU {
    vector <int> link, sz, lst_added;
    vector <ll> sum;
    DSU (int s) {
        lst_added = link = sz = vector <int> (s+1);
        sum = vector <ll> (s+1);
        for (int i = 1; i <= s; i++) {
            lst_added[i] = link[i] = i;
            sz[i] = 1;
            sum[i] = S[i];
        }
    }
    int head(int x) {
        while (x != link[x])
            x = link[x];
        return x;
    }
    bool same(int a, int b) {
        return head(a) == head(b);
    }
    void unite(int a, int b) {
        a = head(a);
        b = head(b);
        if (a == b)
            return;
        if (sz[a] > sz[b])
            swap(a, b);
        sz[a] += sz[b];
        sum[a] += sum[b];
        link[b] = a;
        if (id[lst_added[a]] > id[lst_added[b]])
            lst_added[a] = lst_added[a];
        else
            lst_added[a] = lst_added[b];
    }
};
void dfs(int s, bool x) {
    ans[s] &= x;
    for (auto i : mark[s])
        dfs(i, ans[s]);
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    // freopen("in.txt", "r", stdin);
    // freopen("out.txt", "w", stdout);
    int n, m;
    cin >> n >> m;
    fill(ans, ans + n + 1, true);
    for (int i = 1; i <= n; i++)
        cin >> S[i];
    for (int i = 0; i < m; i++) {
        int a, b;
        cin >> a >> b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    DSU dsu(n+1);
    vector <pair <int, int>> nodes;
    for (int i = 1; i <= n; i++) {
        nodes.push_back({S[i], i});
    }
    sort(nodes.begin(), nodes.end());
    for (int i = 0; i < n; i++)
        id[nodes[i].second] = i;
    for (int i = 0; i < n; i++) {
        for (auto j : adj[nodes[i].second]) {
            if (!vis[j])
                continue;
            int x = dsu.lst_added[dsu.head(j)];
            if (dsu.sum[dsu.head(j)] < nodes[i].first)
                ans[x] = false;
            if (!in_marked[x] && nodes[i].second != x) {
                in_marked[x] = true;
                mark[nodes[i].second].push_back(x);
            }
            dsu.unite(nodes[i].second, j);
        }
        vis[nodes[i].second] = true;
    }
    dfs(nodes[n-1].second, true);
    for (int i = 1; i <= n; i++)
        cout << ans[i];
    cout << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 4 ms 12892 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 4 ms 12892 KB Output is correct
8 Correct 4 ms 12892 KB Output is correct
9 Correct 8 ms 12892 KB Output is correct
10 Correct 4 ms 12892 KB Output is correct
11 Correct 4 ms 12892 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 3 ms 12892 KB Output is correct
14 Correct 3 ms 12832 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 88 ms 31168 KB Output is correct
4 Correct 90 ms 35816 KB Output is correct
5 Correct 107 ms 28404 KB Output is correct
6 Correct 101 ms 28868 KB Output is correct
7 Correct 98 ms 28908 KB Output is correct
8 Execution timed out 1058 ms 26344 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 118 ms 28988 KB Output is correct
3 Correct 108 ms 29024 KB Output is correct
4 Correct 95 ms 36288 KB Output is correct
5 Correct 79 ms 34500 KB Output is correct
6 Correct 111 ms 28872 KB Output is correct
7 Correct 96 ms 36164 KB Output is correct
8 Correct 97 ms 36292 KB Output is correct
9 Correct 68 ms 36036 KB Output is correct
10 Correct 77 ms 30572 KB Output is correct
11 Correct 90 ms 30092 KB Output is correct

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Execution timed out 1092 ms 28620 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 4 ms 12892 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 4 ms 12892 KB Output is correct
8 Correct 4 ms 12892 KB Output is correct
9 Correct 8 ms 12892 KB Output is correct
10 Correct 4 ms 12892 KB Output is correct
11 Correct 4 ms 12892 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 3 ms 12892 KB Output is correct
14 Correct 3 ms 12832 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 88 ms 31168 KB Output is correct
18 Correct 90 ms 35816 KB Output is correct
19 Correct 107 ms 28404 KB Output is correct
20 Correct 101 ms 28868 KB Output is correct
21 Correct 98 ms 28908 KB Output is correct
22 Execution timed out 1058 ms 26344 KB Time limit exceeded
23 Halted 0 ms 0 KB -