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Submission #370684

# Submission time Handle Problem Language Result Execution time Memory
370684 2021-02-24T13:26:40 Z Leonardo_Paes Duathlon (APIO18_duathlon) C++17
23 / 100
 241 ms 26776 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ar array
#define sz(a) ((int)(a).size())
#define all(a) (a).begin(),(a).end()
typedef pair<int,int> pii;
#define f first
#define s second
const int maxn = 1e5+10;
vector<int> grafo[maxn], aux[maxn];
int n, m, dp[maxn], sz[maxn], qtd[maxn], qtd2[maxn], color[maxn], c;
bool instack[maxn], mark[maxn];
stack<int> s;
void compress(int u, int p = 0){
    instack[u] = mark[u] = 1;
    s.push(u);
    //cout << "entrei em " << u << endl;
    for(int v : grafo[u]){
        if(instack[v] and v != p){
            c++;
            int vv;
            do{
                vv = s.top();
                //cout << vv << endl;
                color[vv] = c;
                instack[vv] = 0;
                s.pop();
            }while(vv != v);
        }
        if(!mark[v]) compress(v, u);
    }
    if(instack[u]) s.pop();
    instack[u] = 0;
}
int solve(int u, int p = 0){ // lca of path is u, 1 as a root
    int ans = qtd[u]*(qtd[u]-1)*(qtd[u]-2)/6; // sum of dps
    sz[u] = qtd[u];
    for(int v : grafo[u]){
        if(v == p) continue;
        ans += solve(v, u);
        sz[u] += sz[v];
        qtd2[u] += (qtd2[v] + sz[v]) * qtd[u];
    }
    int qtdd = sz[u] - 1;
    for(int v : grafo[u]){
        if(v == p) continue;
        qtdd -= sz[v];
        dp[u] += sz[v] * qtdd * qtd[u];
        dp[u] += (sz[u]  - sz[v]) * qtd2[v];
    }
    return ans + dp[u];
}
int32_t main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    cin >> n >> m;
    for(int i=1; i<=m; i++){
        int u, v;
        cin >> u >> v;
        grafo[u].push_back(v);
        grafo[v].push_back(u);
    }
    for(int i=1; i<=n; i++) aux[i] = grafo[i];
    for(int i=1; i<=n; i++) if(!mark[i]) compress(1);
    for(int i=1; i<=n; i++) grafo[i].clear();
    set<pair<int,int>> edges;
    for(int i=1; i<=n; i++){
        if(!color[i]) color[i] = ++c;
        qtd[color[i]]++;
    }
    for(int i=1; i<=n; i++){
        for(int e : aux[i]){
            int u = color[i], v = color[e];
            if(u > v) swap(u, v);
            if(u == v or edges.count({u, v})) continue;
            edges.insert({u, v});
            grafo[u].push_back(v);
            grafo[v].push_back(u);
        }
    }
    int ans = 0;
    for(int i=1; i<=n; i++){
        if(!sz[i]) ans += solve(i);
    }
    cout << 2*ans << "\n";
    return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 5100 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 5100 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Incorrect 108 ms 21756 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 5 ms 5228 KB Output is correct
2 Correct 4 ms 5228 KB Output is correct
3 Correct 4 ms 5228 KB Output is correct
4 Correct 5 ms 5356 KB Output is correct
5 Correct 5 ms 5228 KB Output is correct
6 Correct 5 ms 5368 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 4 ms 5228 KB Output is correct
9 Correct 5 ms 5228 KB Output is correct
10 Correct 5 ms 5228 KB Output is correct
11 Correct 6 ms 5228 KB Output is correct
12 Correct 4 ms 5228 KB Output is correct
13 Correct 4 ms 5228 KB Output is correct
14 Correct 4 ms 5228 KB Output is correct
15 Correct 4 ms 5228 KB Output is correct
16 Correct 4 ms 5228 KB Output is correct
17 Correct 4 ms 5228 KB Output is correct
18 Correct 5 ms 5228 KB Output is correct
19 Correct 6 ms 5228 KB Output is correct
20 Correct 4 ms 5228 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 22636 KB Output is correct
2 Correct 184 ms 22508 KB Output is correct
3 Correct 185 ms 22504 KB Output is correct
4 Correct 183 ms 22508 KB Output is correct
5 Correct 197 ms 22508 KB Output is correct
6 Correct 241 ms 26776 KB Output is correct
7 Correct 196 ms 25452 KB Output is correct
8 Correct 198 ms 24812 KB Output is correct
9 Correct 211 ms 24044 KB Output is correct
10 Correct 183 ms 22636 KB Output is correct
11 Correct 175 ms 22508 KB Output is correct
12 Correct 181 ms 22764 KB Output is correct
13 Correct 210 ms 22636 KB Output is correct
14 Correct 152 ms 21484 KB Output is correct
15 Correct 138 ms 20460 KB Output is correct
16 Correct 93 ms 16876 KB Output is correct
17 Correct 158 ms 21856 KB Output is correct
18 Correct 174 ms 21724 KB Output is correct
19 Correct 146 ms 21716 KB Output is correct
20 Correct 143 ms 21724 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5228 KB Output is correct
2 Correct 5 ms 5356 KB Output is correct
3 Incorrect 5 ms 5228 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 22508 KB Output is correct
2 Correct 182 ms 22380 KB Output is correct
3 Incorrect 172 ms 20204 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 5100 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 5100 KB Output isn't correct
2 Halted 0 ms 0 KB -