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Submission #250940

# Submission time Handle Problem Language Result Execution time Memory
250940 2020-07-19T14:07:04 Z dolphingarlic Duathlon (APIO18_duathlon) C++14
49 / 100
 129 ms 20592 KB 
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

int n, m, N;
vector<int> graph[100001], bcc_graph[200001], stck;
int low[100001], tin[100001], timer = 1, bccs = 1, aps[100001];
ll ans;

void dfs(int node, int parent = 0) {
    low[node] = tin[node] = timer++;
    N++;
    stck.push_back(node);
    for (int i : graph[node]) if (i != parent) {
        if (tin[i]) low[node] = min(low[node], tin[i]);
        else {
            dfs(i, node);
            low[node] = min(low[node], low[i]);
            if (low[i] >= tin[node]) {
                bcc_graph[node].push_back(n + bccs);
                while (!bcc_graph[n + bccs].size() || bcc_graph[n + bccs].back() != i) {
                    bcc_graph[n + bccs].push_back(stck.back());
                    stck.pop_back();
                }
                bccs++;
            }
        }
    }
}

void dfs2(int node, int parent = 0) {
    aps[node] = (node <= n);
    for (int i : bcc_graph[node]) {
        dfs2(i, node);
        aps[node] += aps[i];
        if (node > n) ans -= (bcc_graph[node].size() - (parent == 0)) * aps[i] * (aps[i] - 1);
    }
    if (node > n) ans -= bcc_graph[node].size() * (N - aps[node]) * (N - aps[node] - 1);
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    while (m--) {
        int u, v;
        cin >> u >> v;
        graph[u].push_back(v);
        graph[v].push_back(u);
    }
    FOR(i, 1, n + 1) if (!tin[i]) {
        N = 0;
        dfs(i);
        ans += N * (N - 1) * (N - 2);
        dfs2(i);
    }
    // FOR(i, 1, n + bccs) {
    //     cout << i << ": ";
    //     for (int j : bcc_graph[i]) cout << j << ' ';
    //     cout << '\n';
    // }
    cout << ans;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 4 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 5 ms 7348 KB Output is correct
6 Correct 4 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 4 ms 7424 KB Output is correct
12 Correct 6 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 6 ms 7424 KB Output is correct
15 Correct 6 ms 7424 KB Output is correct
16 Correct 6 ms 7424 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 6 ms 7424 KB Output is correct
19 Correct 5 ms 7424 KB Output is correct
20 Correct 6 ms 7424 KB Output is correct
21 Correct 6 ms 7424 KB Output is correct
22 Correct 6 ms 7424 KB Output is correct
23 Correct 6 ms 7424 KB Output is correct
24 Correct 6 ms 7424 KB Output is correct
25 Correct 6 ms 7424 KB Output is correct
26 Correct 4 ms 7424 KB Output is correct
27 Correct 5 ms 7424 KB Output is correct
28 Correct 6 ms 7424 KB Output is correct
29 Correct 5 ms 7424 KB Output is correct
30 Correct 4 ms 7424 KB Output is correct
31 Correct 4 ms 7424 KB Output is correct
32 Correct 6 ms 7424 KB Output is correct
33 Correct 6 ms 7424 KB Output is correct
34 Correct 5 ms 7424 KB Output is correct
35 Correct 4 ms 7424 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 4 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 5 ms 7348 KB Output is correct
6 Correct 4 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 4 ms 7424 KB Output is correct
12 Correct 6 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 6 ms 7424 KB Output is correct
15 Correct 6 ms 7424 KB Output is correct
16 Correct 6 ms 7424 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 6 ms 7424 KB Output is correct
19 Correct 5 ms 7424 KB Output is correct
20 Correct 6 ms 7424 KB Output is correct
21 Correct 6 ms 7424 KB Output is correct
22 Correct 6 ms 7424 KB Output is correct
23 Correct 6 ms 7424 KB Output is correct
24 Correct 6 ms 7424 KB Output is correct
25 Correct 6 ms 7424 KB Output is correct
26 Correct 4 ms 7424 KB Output is correct
27 Correct 5 ms 7424 KB Output is correct
28 Correct 6 ms 7424 KB Output is correct
29 Correct 5 ms 7424 KB Output is correct
30 Correct 4 ms 7424 KB Output is correct
31 Correct 4 ms 7424 KB Output is correct
32 Correct 6 ms 7424 KB Output is correct
33 Correct 6 ms 7424 KB Output is correct
34 Correct 5 ms 7424 KB Output is correct
35 Correct 4 ms 7424 KB Output is correct
36 Correct 5 ms 7424 KB Output is correct
37 Correct 6 ms 7424 KB Output is correct
38 Correct 6 ms 7424 KB Output is correct
39 Correct 5 ms 7424 KB Output is correct
40 Correct 6 ms 7424 KB Output is correct
41 Correct 4 ms 7424 KB Output is correct
42 Correct 5 ms 7424 KB Output is correct
43 Correct 7 ms 7424 KB Output is correct
44 Correct 6 ms 7424 KB Output is correct
45 Correct 5 ms 7424 KB Output is correct
46 Correct 7 ms 7424 KB Output is correct
47 Correct 7 ms 7424 KB Output is correct
48 Correct 7 ms 7424 KB Output is correct
49 Correct 4 ms 7424 KB Output is correct
50 Correct 4 ms 7424 KB Output is correct
51 Correct 5 ms 7424 KB Output is correct
52 Correct 4 ms 7424 KB Output is correct
53 Correct 4 ms 7424 KB Output is correct
54 Correct 5 ms 7424 KB Output is correct
55 Correct 4 ms 7424 KB Output is correct
56 Correct 5 ms 7424 KB Output is correct
57 Correct 4 ms 7424 KB Output is correct
58 Correct 4 ms 7424 KB Output is correct
59 Correct 5 ms 7424 KB Output is correct
60 Correct 5 ms 7424 KB Output is correct
61 Correct 4 ms 7424 KB Output is correct
62 Correct 4 ms 7424 KB Output is correct
63 Correct 4 ms 7424 KB Output is correct
64 Correct 4 ms 7424 KB Output is correct
65 Correct 4 ms 7424 KB Output is correct

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Incorrect 69 ms 20592 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7552 KB Output is correct
2 Correct 4 ms 7552 KB Output is correct
3 Correct 5 ms 7552 KB Output is correct
4 Correct 5 ms 7680 KB Output is correct
5 Correct 5 ms 7552 KB Output is correct
6 Correct 6 ms 7552 KB Output is correct
7 Correct 5 ms 7552 KB Output is correct
8 Correct 5 ms 7552 KB Output is correct
9 Correct 6 ms 7552 KB Output is correct
10 Correct 5 ms 7552 KB Output is correct
11 Correct 5 ms 7552 KB Output is correct
12 Correct 7 ms 7424 KB Output is correct
13 Correct 8 ms 7552 KB Output is correct
14 Correct 5 ms 7552 KB Output is correct
15 Correct 7 ms 7424 KB Output is correct
16 Correct 5 ms 7424 KB Output is correct
17 Correct 5 ms 7424 KB Output is correct
18 Correct 5 ms 7424 KB Output is correct
19 Correct 7 ms 7424 KB Output is correct
20 Correct 7 ms 7424 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Incorrect 109 ms 16632 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7552 KB Output is correct
2 Correct 5 ms 7552 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 5 ms 7424 KB Output is correct
6 Correct 5 ms 7424 KB Output is correct
7 Correct 5 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 7 ms 7424 KB Output is correct
10 Correct 6 ms 7424 KB Output is correct
11 Correct 5 ms 7424 KB Output is correct
12 Correct 6 ms 7572 KB Output is correct
13 Correct 6 ms 7552 KB Output is correct
14 Correct 6 ms 7552 KB Output is correct
15 Correct 6 ms 7552 KB Output is correct
16 Correct 5 ms 7424 KB Output is correct
17 Correct 8 ms 7540 KB Output is correct
18 Correct 6 ms 7424 KB Output is correct
19 Correct 8 ms 7424 KB Output is correct
20 Correct 6 ms 7424 KB Output is correct
21 Correct 6 ms 7424 KB Output is correct
22 Correct 5 ms 7552 KB Output is correct
23 Correct 5 ms 7424 KB Output is correct
24 Correct 6 ms 7552 KB Output is correct
25 Correct 5 ms 7424 KB Output is correct
26 Correct 5 ms 7424 KB Output is correct
27 Correct 5 ms 7424 KB Output is correct

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 129 ms 16632 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 4 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 5 ms 7348 KB Output is correct
6 Correct 4 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 4 ms 7424 KB Output is correct
12 Correct 6 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 6 ms 7424 KB Output is correct
15 Correct 6 ms 7424 KB Output is correct
16 Correct 6 ms 7424 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 6 ms 7424 KB Output is correct
19 Correct 5 ms 7424 KB Output is correct
20 Correct 6 ms 7424 KB Output is correct
21 Correct 6 ms 7424 KB Output is correct
22 Correct 6 ms 7424 KB Output is correct
23 Correct 6 ms 7424 KB Output is correct
24 Correct 6 ms 7424 KB Output is correct
25 Correct 6 ms 7424 KB Output is correct
26 Correct 4 ms 7424 KB Output is correct
27 Correct 5 ms 7424 KB Output is correct
28 Correct 6 ms 7424 KB Output is correct
29 Correct 5 ms 7424 KB Output is correct
30 Correct 4 ms 7424 KB Output is correct
31 Correct 4 ms 7424 KB Output is correct
32 Correct 6 ms 7424 KB Output is correct
33 Correct 6 ms 7424 KB Output is correct
34 Correct 5 ms 7424 KB Output is correct
35 Correct 4 ms 7424 KB Output is correct
36 Correct 5 ms 7424 KB Output is correct
37 Correct 6 ms 7424 KB Output is correct
38 Correct 6 ms 7424 KB Output is correct
39 Correct 5 ms 7424 KB Output is correct
40 Correct 6 ms 7424 KB Output is correct
41 Correct 4 ms 7424 KB Output is correct
42 Correct 5 ms 7424 KB Output is correct
43 Correct 7 ms 7424 KB Output is correct
44 Correct 6 ms 7424 KB Output is correct
45 Correct 5 ms 7424 KB Output is correct
46 Correct 7 ms 7424 KB Output is correct
47 Correct 7 ms 7424 KB Output is correct
48 Correct 7 ms 7424 KB Output is correct
49 Correct 4 ms 7424 KB Output is correct
50 Correct 4 ms 7424 KB Output is correct
51 Correct 5 ms 7424 KB Output is correct
52 Correct 4 ms 7424 KB Output is correct
53 Correct 4 ms 7424 KB Output is correct
54 Correct 5 ms 7424 KB Output is correct
55 Correct 4 ms 7424 KB Output is correct
56 Correct 5 ms 7424 KB Output is correct
57 Correct 4 ms 7424 KB Output is correct
58 Correct 4 ms 7424 KB Output is correct
59 Correct 5 ms 7424 KB Output is correct
60 Correct 5 ms 7424 KB Output is correct
61 Correct 4 ms 7424 KB Output is correct
62 Correct 4 ms 7424 KB Output is correct
63 Correct 4 ms 7424 KB Output is correct
64 Correct 4 ms 7424 KB Output is correct
65 Correct 4 ms 7424 KB Output is correct
66 Correct 5 ms 7424 KB Output is correct
67 Correct 5 ms 7424 KB Output is correct
68 Correct 5 ms 7424 KB Output is correct
69 Correct 5 ms 7552 KB Output is correct
70 Correct 5 ms 7552 KB Output is correct
71 Correct 5 ms 7424 KB Output is correct
72 Correct 5 ms 7424 KB Output is correct
73 Correct 5 ms 7424 KB Output is correct
74 Correct 5 ms 7424 KB Output is correct
75 Correct 4 ms 7424 KB Output is correct
76 Correct 5 ms 7424 KB Output is correct
77 Correct 5 ms 7424 KB Output is correct
78 Correct 5 ms 7424 KB Output is correct
79 Correct 6 ms 7424 KB Output is correct
80 Correct 8 ms 7424 KB Output is correct
81 Correct 5 ms 7424 KB Output is correct
82 Correct 6 ms 7552 KB Output is correct
83 Correct 5 ms 7552 KB Output is correct
84 Correct 5 ms 7552 KB Output is correct
85 Correct 5 ms 7424 KB Output is correct
86 Correct 7 ms 7440 KB Output is correct
87 Correct 6 ms 7424 KB Output is correct
88 Correct 7 ms 7424 KB Output is correct
89 Correct 6 ms 7424 KB Output is correct
90 Correct 5 ms 7424 KB Output is correct
91 Correct 6 ms 7424 KB Output is correct
92 Correct 6 ms 7552 KB Output is correct

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 4 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 5 ms 7348 KB Output is correct
6 Correct 4 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 4 ms 7424 KB Output is correct
12 Correct 6 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 6 ms 7424 KB Output is correct
15 Correct 6 ms 7424 KB Output is correct
16 Correct 6 ms 7424 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 6 ms 7424 KB Output is correct
19 Correct 5 ms 7424 KB Output is correct
20 Correct 6 ms 7424 KB Output is correct
21 Correct 6 ms 7424 KB Output is correct
22 Correct 6 ms 7424 KB Output is correct
23 Correct 6 ms 7424 KB Output is correct
24 Correct 6 ms 7424 KB Output is correct
25 Correct 6 ms 7424 KB Output is correct
26 Correct 4 ms 7424 KB Output is correct
27 Correct 5 ms 7424 KB Output is correct
28 Correct 6 ms 7424 KB Output is correct
29 Correct 5 ms 7424 KB Output is correct
30 Correct 4 ms 7424 KB Output is correct
31 Correct 4 ms 7424 KB Output is correct
32 Correct 6 ms 7424 KB Output is correct
33 Correct 6 ms 7424 KB Output is correct
34 Correct 5 ms 7424 KB Output is correct
35 Correct 4 ms 7424 KB Output is correct
36 Correct 5 ms 7424 KB Output is correct
37 Correct 6 ms 7424 KB Output is correct
38 Correct 6 ms 7424 KB Output is correct
39 Correct 5 ms 7424 KB Output is correct
40 Correct 6 ms 7424 KB Output is correct
41 Correct 4 ms 7424 KB Output is correct
42 Correct 5 ms 7424 KB Output is correct
43 Correct 7 ms 7424 KB Output is correct
44 Correct 6 ms 7424 KB Output is correct
45 Correct 5 ms 7424 KB Output is correct
46 Correct 7 ms 7424 KB Output is correct
47 Correct 7 ms 7424 KB Output is correct
48 Correct 7 ms 7424 KB Output is correct
49 Correct 4 ms 7424 KB Output is correct
50 Correct 4 ms 7424 KB Output is correct
51 Correct 5 ms 7424 KB Output is correct
52 Correct 4 ms 7424 KB Output is correct
53 Correct 4 ms 7424 KB Output is correct
54 Correct 5 ms 7424 KB Output is correct
55 Correct 4 ms 7424 KB Output is correct
56 Correct 5 ms 7424 KB Output is correct
57 Correct 4 ms 7424 KB Output is correct
58 Correct 4 ms 7424 KB Output is correct
59 Correct 5 ms 7424 KB Output is correct
60 Correct 5 ms 7424 KB Output is correct
61 Correct 4 ms 7424 KB Output is correct
62 Correct 4 ms 7424 KB Output is correct
63 Correct 4 ms 7424 KB Output is correct
64 Correct 4 ms 7424 KB Output is correct
65 Correct 4 ms 7424 KB Output is correct
66 Incorrect 69 ms 20592 KB Output isn't correct
67 Halted 0 ms 0 KB -