oj.uz

Submission #370728

# Submission time Handle Problem Language Result Execution time Memory
370728 2021-02-24T14:10:44 Z Leonardo_Paes Duathlon (APIO18_duathlon) C++17
31 / 100
 234 ms 26904 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)/2; // 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] - qtd[u];
    for(int v : grafo[u]){
        if(v == p) continue;
        qtdd -= sz[v];
        dp[u] += sz[v] * qtdd * qtd[u]; // 1 from each
        dp[u] += sz[v] * (qtd[u] * qtd[u] - 1) / 2;
        dp[u] += (sz[u] - sz[v]) * qtd2[v];
    }
    if(grafo[u].size() == 1){
        qtd2[u] = sz[u] - 1 + 2 * (sz[u] - 1) * (sz[u] - 2);
    }
    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(i);
    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<=c; i++){
        if(!sz[i]) ans += solve(i);
    }
    for(int i=1; i<=n; i++){
        //cout << color[i] << " " << qtd2[color[i]] << endl;
    }
    cout << 2*ans << "\n";
    /*
6 7
1 2
2 3
3 1
3 4
4 5
5 6
6 4
    */
    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
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 99 ms 20972 KB Output is correct
2 Correct 86 ms 20972 KB Output is correct
3 Correct 139 ms 20972 KB Output is correct
4 Correct 109 ms 20588 KB Output is correct
5 Correct 110 ms 18028 KB Output is correct
6 Correct 143 ms 20588 KB Output is correct
7 Correct 210 ms 19692 KB Output is correct
8 Correct 158 ms 20204 KB Output is correct
9 Correct 162 ms 19052 KB Output is correct
10 Correct 153 ms 18540 KB Output is correct
11 Correct 112 ms 16492 KB Output is correct
12 Correct 112 ms 16620 KB Output is correct
13 Correct 96 ms 16492 KB Output is correct
14 Correct 94 ms 16364 KB Output is correct
15 Correct 98 ms 16108 KB Output is correct
16 Correct 93 ms 15724 KB Output is correct
17 Correct 9 ms 8684 KB Output is correct
18 Correct 9 ms 8812 KB Output is correct
19 Correct 11 ms 8688 KB Output is correct
20 Correct 9 ms 8556 KB Output is correct
21 Correct 9 ms 8428 KB Output is correct
22 Correct 9 ms 8428 KB Output is correct

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 5312 KB Output is correct
3 Correct 5 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 6 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 4 ms 5228 KB Output is correct
10 Correct 4 ms 5228 KB Output is correct
11 Correct 5 ms 5228 KB Output is correct
12 Correct 5 ms 5228 KB Output is correct
13 Correct 6 ms 5228 KB Output is correct
14 Correct 6 ms 5228 KB Output is correct
15 Correct 5 ms 5228 KB Output is correct
16 Correct 4 ms 5228 KB Output is correct
17 Correct 5 ms 5228 KB Output is correct
18 Correct 4 ms 5228 KB Output is correct
19 Correct 5 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 213 ms 22508 KB Output is correct
2 Correct 211 ms 22596 KB Output is correct
3 Correct 197 ms 22588 KB Output is correct
4 Correct 202 ms 22508 KB Output is correct
5 Correct 215 ms 22508 KB Output is correct
6 Correct 233 ms 26904 KB Output is correct
7 Correct 216 ms 25452 KB Output is correct
8 Correct 214 ms 24684 KB Output is correct
9 Correct 211 ms 23948 KB Output is correct
10 Correct 216 ms 22596 KB Output is correct
11 Correct 229 ms 22596 KB Output is correct
12 Correct 221 ms 22508 KB Output is correct
13 Correct 206 ms 22572 KB Output is correct
14 Correct 168 ms 21612 KB Output is correct
15 Correct 148 ms 20588 KB Output is correct
16 Correct 116 ms 17004 KB Output is correct
17 Correct 174 ms 22496 KB Output is correct
18 Correct 191 ms 22620 KB Output is correct
19 Correct 150 ms 22636 KB Output is correct
20 Correct 183 ms 22492 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5228 KB Output is correct
2 Correct 5 ms 5228 KB Output is correct
3 Incorrect 4 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 225 ms 22636 KB Output is correct
2 Correct 200 ms 22380 KB Output is correct
3 Incorrect 234 ms 19948 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 -