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Submission #1043277

# Submission time Handle Problem Language Result Execution time Memory
1043277 2024-08-04T07:34:27 Z vjudge1 Duathlon (APIO18_duathlon) C++17
24 / 100
 52 ms 12244 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int N = 1e5 + 10;
int n, m;
vector<int> g[N], comp;
bool vis[N], possible[105][105][105];

void dfs_brute(int v, int y, int z){
    if (v == z) return;
    vis[v] = 1;
    for (int u : g[v])
        if (!vis[u]) dfs_brute(u, y, z);
}

void dfs(int v){
    vis[v] = 1;
    comp.push_back(v);
    for (int u : g[v]){
        if (vis[u]) continue;
        dfs(u);
    }
}

int main(){
    cin >> n >> m;
    for (int i = 0; i < m; i ++){
        int u, v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }

    int total = n * (n - 1) * (n - 2);

    if (n <= 100 and m <= 100){
        for (int u = 1; u <= n; u ++){
            for (int v = 1; v <= n; v ++){
                for (int e = 1; e <= n; e ++){
                    for (int x = 1; x <= n; x ++)
                        vis[x] = 0;
                    dfs_brute(u, v, e);
                    if (vis[v])
                        possible[u][v][e] = 1;
                }
            }
        }

        for (int c = 1; c <= n; c ++){
            for (int s = 1; s <= n; s ++){
                for (int f = 1; f <= n; f ++){
                    if (c == s or c == f or s == f) continue;
                    bool bad = 0;
                    for (int v = 1; v <= n; v ++){
                        if (v == c) continue;
                        if (!possible[s][c][v] and !possible[c][f][v])
                            bad = 1;
                    }
                    total -= bad;
                }
            }
        }

        cout << total << endl;
        return 0;
    }

    ll ans = 0;
    for (int v = 1; v <= n; v ++){
        if (vis[v]) continue;
        comp.clear();
        dfs(v);
        int edges = 0;
        for (int x : comp)
            edges += g[x].size();
        edges /= 2;

        ll nodes = comp.size();
        if (nodes == edges){
            ans += nodes * (nodes - 1) * (nodes - 2);
            continue;
        }

        ans += (nodes * (nodes - 1) * (nodes - 2)) / 3;
    }

    cout << ans << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2788 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2784 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2664 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2792 KB Output is correct
18 Correct 1 ms 2820 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 2692 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 3676 KB Output is correct
29 Correct 1 ms 2792 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 3676 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2788 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2784 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2664 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2792 KB Output is correct
18 Correct 1 ms 2820 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 2692 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 3676 KB Output is correct
29 Correct 1 ms 2792 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 3676 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 6 ms 2904 KB Output is correct
37 Correct 6 ms 2908 KB Output is correct
38 Correct 20 ms 3216 KB Output is correct
39 Correct 31 ms 3164 KB Output is correct
40 Correct 38 ms 3932 KB Output is correct
41 Correct 5 ms 2908 KB Output is correct
42 Correct 5 ms 2996 KB Output is correct
43 Correct 5 ms 2996 KB Output is correct
44 Correct 6 ms 2912 KB Output is correct
45 Correct 5 ms 2912 KB Output is correct
46 Correct 6 ms 2908 KB Output is correct
47 Correct 1 ms 2792 KB Output is correct
48 Correct 5 ms 2792 KB Output is correct
49 Correct 7 ms 2908 KB Output is correct
50 Correct 5 ms 2908 KB Output is correct
51 Correct 24 ms 3932 KB Output is correct
52 Correct 26 ms 3256 KB Output is correct
53 Correct 30 ms 3184 KB Output is correct
54 Correct 28 ms 3164 KB Output is correct
55 Correct 29 ms 3156 KB Output is correct
56 Correct 30 ms 3164 KB Output is correct
57 Correct 30 ms 3164 KB Output is correct
58 Correct 27 ms 3164 KB Output is correct
59 Correct 19 ms 3412 KB Output is correct
60 Correct 17 ms 3160 KB Output is correct
61 Correct 10 ms 3164 KB Output is correct
62 Correct 7 ms 3176 KB Output is correct
63 Correct 26 ms 3156 KB Output is correct
64 Correct 26 ms 3164 KB Output is correct
65 Correct 25 ms 3164 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 12244 KB Output is correct
2 Correct 44 ms 12240 KB Output is correct
3 Correct 43 ms 9888 KB Output is correct
4 Correct 48 ms 10968 KB Output is correct
5 Correct 43 ms 9044 KB Output is correct
6 Correct 52 ms 9132 KB Output is correct
7 Correct 39 ms 8276 KB Output is correct
8 Correct 43 ms 8664 KB Output is correct
9 Correct 43 ms 8592 KB Output is correct
10 Correct 42 ms 8156 KB Output is correct
11 Correct 34 ms 6904 KB Output is correct
12 Correct 37 ms 6748 KB Output is correct
13 Correct 30 ms 6740 KB Output is correct
14 Correct 30 ms 6556 KB Output is correct
15 Correct 23 ms 5980 KB Output is correct
16 Correct 24 ms 6028 KB Output is correct
17 Correct 2 ms 2652 KB Output is correct
18 Correct 2 ms 2908 KB Output is correct
19 Correct 1 ms 3676 KB Output is correct
20 Correct 2 ms 2792 KB Output is correct
21 Correct 2 ms 2896 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 2652 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Incorrect 42 ms 7924 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2652 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 40 ms 7892 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2788 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2784 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2664 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2792 KB Output is correct
18 Correct 1 ms 2820 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 2692 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 3676 KB Output is correct
29 Correct 1 ms 2792 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 3676 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 6 ms 2904 KB Output is correct
37 Correct 6 ms 2908 KB Output is correct
38 Correct 20 ms 3216 KB Output is correct
39 Correct 31 ms 3164 KB Output is correct
40 Correct 38 ms 3932 KB Output is correct
41 Correct 5 ms 2908 KB Output is correct
42 Correct 5 ms 2996 KB Output is correct
43 Correct 5 ms 2996 KB Output is correct
44 Correct 6 ms 2912 KB Output is correct
45 Correct 5 ms 2912 KB Output is correct
46 Correct 6 ms 2908 KB Output is correct
47 Correct 1 ms 2792 KB Output is correct
48 Correct 5 ms 2792 KB Output is correct
49 Correct 7 ms 2908 KB Output is correct
50 Correct 5 ms 2908 KB Output is correct
51 Correct 24 ms 3932 KB Output is correct
52 Correct 26 ms 3256 KB Output is correct
53 Correct 30 ms 3184 KB Output is correct
54 Correct 28 ms 3164 KB Output is correct
55 Correct 29 ms 3156 KB Output is correct
56 Correct 30 ms 3164 KB Output is correct
57 Correct 30 ms 3164 KB Output is correct
58 Correct 27 ms 3164 KB Output is correct
59 Correct 19 ms 3412 KB Output is correct
60 Correct 17 ms 3160 KB Output is correct
61 Correct 10 ms 3164 KB Output is correct
62 Correct 7 ms 3176 KB Output is correct
63 Correct 26 ms 3156 KB Output is correct
64 Correct 26 ms 3164 KB Output is correct
65 Correct 25 ms 3164 KB Output is correct
66 Correct 1 ms 3676 KB Output is correct
67 Incorrect 1 ms 2652 KB Output isn't correct
68 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2788 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2784 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2664 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2792 KB Output is correct
18 Correct 1 ms 2820 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 2692 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 3676 KB Output is correct
29 Correct 1 ms 2792 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 3676 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 6 ms 2904 KB Output is correct
37 Correct 6 ms 2908 KB Output is correct
38 Correct 20 ms 3216 KB Output is correct
39 Correct 31 ms 3164 KB Output is correct
40 Correct 38 ms 3932 KB Output is correct
41 Correct 5 ms 2908 KB Output is correct
42 Correct 5 ms 2996 KB Output is correct
43 Correct 5 ms 2996 KB Output is correct
44 Correct 6 ms 2912 KB Output is correct
45 Correct 5 ms 2912 KB Output is correct
46 Correct 6 ms 2908 KB Output is correct
47 Correct 1 ms 2792 KB Output is correct
48 Correct 5 ms 2792 KB Output is correct
49 Correct 7 ms 2908 KB Output is correct
50 Correct 5 ms 2908 KB Output is correct
51 Correct 24 ms 3932 KB Output is correct
52 Correct 26 ms 3256 KB Output is correct
53 Correct 30 ms 3184 KB Output is correct
54 Correct 28 ms 3164 KB Output is correct
55 Correct 29 ms 3156 KB Output is correct
56 Correct 30 ms 3164 KB Output is correct
57 Correct 30 ms 3164 KB Output is correct
58 Correct 27 ms 3164 KB Output is correct
59 Correct 19 ms 3412 KB Output is correct
60 Correct 17 ms 3160 KB Output is correct
61 Correct 10 ms 3164 KB Output is correct
62 Correct 7 ms 3176 KB Output is correct
63 Correct 26 ms 3156 KB Output is correct
64 Correct 26 ms 3164 KB Output is correct
65 Correct 25 ms 3164 KB Output is correct
66 Correct 44 ms 12244 KB Output is correct
67 Correct 44 ms 12240 KB Output is correct
68 Correct 43 ms 9888 KB Output is correct
69 Correct 48 ms 10968 KB Output is correct
70 Correct 43 ms 9044 KB Output is correct
71 Correct 52 ms 9132 KB Output is correct
72 Correct 39 ms 8276 KB Output is correct
73 Correct 43 ms 8664 KB Output is correct
74 Correct 43 ms 8592 KB Output is correct
75 Correct 42 ms 8156 KB Output is correct
76 Correct 34 ms 6904 KB Output is correct
77 Correct 37 ms 6748 KB Output is correct
78 Correct 30 ms 6740 KB Output is correct
79 Correct 30 ms 6556 KB Output is correct
80 Correct 23 ms 5980 KB Output is correct
81 Correct 24 ms 6028 KB Output is correct
82 Correct 2 ms 2652 KB Output is correct
83 Correct 2 ms 2908 KB Output is correct
84 Correct 1 ms 3676 KB Output is correct
85 Correct 2 ms 2792 KB Output is correct
86 Correct 2 ms 2896 KB Output is correct
87 Correct 2 ms 2652 KB Output is correct
88 Incorrect 2 ms 2652 KB Output isn't correct
89 Halted 0 ms 0 KB -