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Submission #1116911

# Submission time Handle Problem Language Result Execution time Memory
1116911 2024-11-22T14:46:08 Z adaawf Duathlon (APIO18_duathlon) C++17
0 / 100
 117 ms 23992 KB 
#include <iostream>
#include <vector>
#include <map>
using namespace std;
map<pair<int, int>, int> mm;
vector<int> g[100005], gg[200005];
int tin[100005], low[100005], dd[100005], da[100005], z = 0, db[100005];
long long int s[200005], f[200005], hh = 0, kk = 0, ha, res = 0;
void dfs(int x, int p) {
    tin[x] = low[x] = ++z;
    int fl = 0, c = 0;
    for (int w : g[x]) {
        if (w == p) continue;
        if (tin[w] == 0) {
            dfs(w, x);
            low[x] = min(low[x], low[w]);
            if (low[w] >= tin[x]) {
                fl = 1;
            }
            c++;
        }
        else low[x] = min(low[x], tin[w]);
    }
    if (p == -1) {
        if (c >= 2) dd[x] = 1;
    }
    else if (fl == 1) dd[x] = 1;
    hh += dd[x];
    kk++;
}
void dfs2(int x, int h) {
    da[x] = h;
    s[h]++;
    for (int w : g[x]) {
        if (da[w] != 0 || dd[w] == 1) continue;
        dfs2(w, h);
    }
}
void dfs3(int x, int p) {
    db[x] = 1;
    f[x] = s[x];
    for (int w : gg[x]) {
        if (w == p) continue;
        dfs3(w, x);
        f[x] += f[w];
    }
}
void dfs4(int x, int p) {
    long long int h = 0;
    for (int w : gg[x]) {
        if (w != p) dfs4(w, x);
        long long int k;
        if (w == p) k = ha - f[x];
        else k = f[w];
        res += s[w] * h * k;
        res += k * s[w] * (s[w] - 1);
        res += s[w] * (s[w] - 1) / 2;
        h += k;
    }
}
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    long long int n, m;
    cin >> n >> m;
    for (int i = 1; i <= m; i++) {
        int u, v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    for (int i = 1; i <= n; i++) {
        if (tin[i] == 0) {
            hh = kk = 0;
            dfs(i, -1);
            if (hh == 0) {
                res += kk * (kk - 1) * (kk - 2) / 2;
            }
        }
    }
    int zz = 0;
    for (int i = 1; i <= n; i++) {
        if (dd[i] == 1) {
            da[i] = ++zz;
            s[zz] = 1;
            for (int w : g[i]) {
                if (da[w] == 0 && dd[w] == 0) {
                    zz++;
                    dfs2(w, zz);
                }
            }
        }
    }
    for (int i = 1; i <= zz; i++) {
        res += s[i] * (s[i] - 1) * (s[i] - 2) / 2;
    }
    for (int i = 1; i <= n; i++) {
        for (int w : g[i]) {
            int h = da[i], k = da[w];
            if (h == k || mm.count({h, k})) continue;
            if (dd[i] == dd[w]) continue;
            gg[h].push_back(k);
            //cout << h << " " << k << " " << i << " " << w << '\n';
            mm[{h, k}] = 1;
        }
    }
    for (int i = 1; i <= zz; i++) {
        if (db[i] == 0) {
            dfs3(i, -1);
            ha = f[i];
            dfs4(i, -1);
        }
    }
    cout << res * 2;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7504 KB Output is correct
2 Correct 9 ms 7504 KB Output is correct
3 Correct 6 ms 7504 KB Output is correct
4 Correct 8 ms 7504 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 9 ms 7504 KB Output is correct
7 Incorrect 6 ms 7504 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7504 KB Output is correct
2 Correct 9 ms 7504 KB Output is correct
3 Correct 6 ms 7504 KB Output is correct
4 Correct 8 ms 7504 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 9 ms 7504 KB Output is correct
7 Incorrect 6 ms 7504 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 22020 KB Output is correct
2 Correct 44 ms 21740 KB Output is correct
3 Incorrect 48 ms 19016 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 7504 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Incorrect 117 ms 23636 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 10496 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 105 ms 23992 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7504 KB Output is correct
2 Correct 9 ms 7504 KB Output is correct
3 Correct 6 ms 7504 KB Output is correct
4 Correct 8 ms 7504 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 9 ms 7504 KB Output is correct
7 Incorrect 6 ms 7504 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7504 KB Output is correct
2 Correct 9 ms 7504 KB Output is correct
3 Correct 6 ms 7504 KB Output is correct
4 Correct 8 ms 7504 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 9 ms 7504 KB Output is correct
7 Incorrect 6 ms 7504 KB Output isn't correct
8 Halted 0 ms 0 KB -