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Submission #829640

# Submission time Handle Problem Language Result Execution time Memory
829640 2023-08-18T13:43:33 Z FatihSolak Duathlon (APIO18_duathlon) C++17
0 / 100
 68 ms 43240 KB 
#include <bits/stdc++.h>
#define N 100005
using namespace std;
vector<int> adj[N];
vector<int> adj2[N];
vector<int> adj3[N];
int d[N];
int low[N];
vector<pair<int,int>> edges;
void dfs(int v,int par){
    d[v] = d[par] + 1;
    low[v] = d[v];
    for(auto u:adj[v]){
        if(u == par)
            continue;
        if(d[u] != 0){
            low[v] = min(d[u],low[v]);
            if(d[v] < d[u]){
                adj2[v].push_back(u);
                adj2[u].push_back(v);
            }
        }
        else{
            dfs(u,v);
            low[v] = min(low[v],low[u]);
            if(low[u] <= d[v]){
                adj2[v].push_back(u);
                adj2[u].push_back(v);
            }
            else{
                edges.push_back({u,v});
            }
        }
    }
}
int cnt[N];
int group[N];
int sub[N];
int n;
long long ans = 0;
void dfs2(int v){
    cnt[group[v]]++;
    for(auto u:adj2[v]){
        if(group[u])continue;
        group[u] = group[v];
        dfs2(u);
    }
}
void dfs3(int v,int par){
    sub[v] = cnt[v];
    for(auto u:adj3[v]){
        if(u == par)
            continue;
        dfs3(u,v);
        sub[v] += sub[u];
    }
    ans += 2 * (long long)cnt[v] * (cnt[v] - 1) * (n - cnt[v]);
    ans -= 2 * (long long)(cnt[v] - 1) * (n - cnt[v]);
    for(auto u:adj3[v]){
        if(u == par){
            ans += (long long)cnt[v] * (n - sub[v]) * (sub[v] - cnt[v]);
        }
        else{
            ans += (long long)cnt[v] * (n - sub[u] - cnt[v]) * (sub[u]);
        }
    }
}
void solve(){
    int m;
    cin >> n >> m;
    for(int i = 1;i<=m;i++){
        int u,v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for(int i = 1;i<=n;i++){
        if(d[i] == 0)
            dfs(i,0);
    }
    for(int i = 1;i<=n;i++){
        if(group[i] == 0){
            group[i] = i;
            dfs2(i);
            ans += (long long)cnt[i] * (cnt[i]-1) * (cnt[i]-2);
        }
    }
    for(auto u:edges){
        adj3[group[u.first]].push_back(group[u.second]);
        adj3[group[u.second]].push_back(group[u.first]);
    }
    for(int i = 1;i<=n;i++){
        if(sub[i] == 0 && group[i] == i)
            dfs3(i,0);
    }
    assert(sub[1] == n);
    cout << ans;
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    #ifdef Local    
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
    #endif
    int t = 1;
    //cin >> t;
    while(t--){
        solve();
    }
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 9 ms 14804 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 9 ms 14804 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 25752 KB Output is correct
2 Correct 55 ms 25660 KB Output is correct
3 Runtime error 66 ms 43240 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 4 ms 7464 KB Output is correct
4 Correct 4 ms 7536 KB Output is correct
5 Correct 3 ms 7508 KB Output is correct
6 Correct 3 ms 7508 KB Output is correct
7 Correct 3 ms 7508 KB Output is correct
8 Correct 3 ms 7508 KB Output is correct
9 Correct 5 ms 7508 KB Output is correct
10 Runtime error 10 ms 14932 KB Execution killed with signal 6
11 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 16460 KB Output is correct
2 Correct 46 ms 16520 KB Output is correct
3 Correct 52 ms 16572 KB Output is correct
4 Correct 47 ms 16504 KB Output is correct
5 Correct 46 ms 16548 KB Output is correct
6 Correct 49 ms 22256 KB Output is correct
7 Correct 46 ms 20220 KB Output is correct
8 Correct 68 ms 19332 KB Output is correct
9 Correct 49 ms 18240 KB Output is correct
10 Runtime error 55 ms 33448 KB Execution killed with signal 6
11 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Incorrect 3 ms 7380 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 16500 KB Output is correct
2 Correct 44 ms 16432 KB Output is correct
3 Incorrect 52 ms 16624 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 9 ms 14804 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 9 ms 14804 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -