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Submission #742133

# Submission time Handle Problem Language Result Execution time Memory
742133 2023-05-15T16:34:20 Z speedyArda Duathlon (APIO18_duathlon) C++14
31 / 100
 702 ms 1048576 KB 
#include "bits/stdc++.h"

using namespace std;
const int MAXN = 1e5+5;
vector< vector<int> > adj(MAXN);
bool visited[MAXN];
long long sz[MAXN];
long long bgsz[MAXN];
int par[MAXN];
long long add[MAXN];
int n, m;
int find(int v)
{
    if(par[v] == v)
        return v;
    return par[v] = find(par[v]); 
}

void merge(int a, int b)
{
    a = find(a), b = find(b);
    if(a == b)
        return;
    if(bgsz[a] < bgsz[b])
        swap(a, b);
    par[b] = a;
    bgsz[a] += bgsz[b];
}
pair<long long, bool> subtask3(int v, int p)
{
    pair<long long, bool> ans = {1, false};
    visited[v] = true;

    for(int e : adj[v])
    {
        if(e == p)
            continue;
        if(visited[e]) {
            ans.second = true;
            continue;
        }
        pair<long long, bool> temp = subtask3(e, v);
        ans.first += temp.first;
        ans.second |= temp.second;
    }
    return ans;
}

long long subtask5(int v, int p)
{
    long long ans = 0;
    visited[v] = true;
    sz[v] = 1;
    long long chi_size = 0;
    for(int e : adj[v])
    {
        if(e == p)
            continue;
        ans += subtask5(e, v);
        sz[v] += sz[e];
        chi_size += sz[e];
    }
    int bigpar = find(v);
    long long par_size = bgsz[bigpar] - chi_size - 1;
    ans += par_size * chi_size;
    //cout << bgsz[bigpar] << "\n";
    for(int e : adj[v])
    {
        if(e == p)
            continue;
        ans += sz[e] * (bgsz[bigpar] - sz[e] - 1LL);
    }
    return ans;
}
int main() 
{
    long long temp = 0;
    add[0] = 0;
    for(long long i = 1; i < MAXN; i++)
    {
        temp += i;
        add[i] = add[i - 1] + temp;
        par[i] = i;
        bgsz[i] = 1;
    }
    cin >> n >> m;
    for(int i = 1; i <= m; i++)
    {
        int f, s;
        cin >> f >> s;
        adj[f].push_back(s);
        adj[s].push_back(f);
        merge(f, s);
    }

    int max_size = 0;
    for(int i = 1; i <= n; i++)
    {
        max_size = max(max_size, (int)adj[i].size());
    }
    long long ans = 0;
    if(max_size <= 2) // Subtask 3
    {
        for(int i = 1; i <= n; i++)
        {
            if(visited[i])
                continue;
            pair<long long, bool> curr = subtask3(i, -1);
            if(curr.second)
            {
                ans += curr.first * (curr.first - 1) * (curr.first - 2);
            } else if(curr.first >= 3)
            {
                ans += add[curr.first - 2] * 2LL;
            }
        }   
    } else //Subtask 4, 5
    {
        for(int i = 1; i <= n; i++)
        {
            if(visited[i])
                continue;
            ans += subtask5(i, -1);
        }
    }


    cout << ans << "\n";
    
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 452 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 452 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 15544 KB Output is correct
2 Correct 97 ms 15632 KB Output is correct
3 Correct 90 ms 11644 KB Output is correct
4 Correct 99 ms 13748 KB Output is correct
5 Correct 88 ms 10348 KB Output is correct
6 Correct 91 ms 10488 KB Output is correct
7 Correct 97 ms 9368 KB Output is correct
8 Correct 107 ms 9904 KB Output is correct
9 Correct 96 ms 8572 KB Output is correct
10 Correct 91 ms 9288 KB Output is correct
11 Correct 73 ms 7728 KB Output is correct
12 Correct 71 ms 7620 KB Output is correct
13 Correct 66 ms 7648 KB Output is correct
14 Correct 64 ms 7568 KB Output is correct
15 Correct 48 ms 7168 KB Output is correct
16 Correct 50 ms 7148 KB Output is correct
17 Correct 3 ms 4692 KB Output is correct
18 Correct 4 ms 4692 KB Output is correct
19 Correct 4 ms 4692 KB Output is correct
20 Correct 4 ms 4692 KB Output is correct
21 Correct 4 ms 4692 KB Output is correct
22 Correct 3 ms 4724 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4564 KB Output is correct
2 Correct 4 ms 4564 KB Output is correct
3 Correct 5 ms 4564 KB Output is correct
4 Correct 3 ms 4692 KB Output is correct
5 Correct 3 ms 4692 KB Output is correct
6 Correct 3 ms 4692 KB Output is correct
7 Correct 3 ms 4632 KB Output is correct
8 Correct 3 ms 4692 KB Output is correct
9 Correct 3 ms 4632 KB Output is correct
10 Correct 3 ms 4628 KB Output is correct
11 Correct 4 ms 4636 KB Output is correct
12 Correct 3 ms 4564 KB Output is correct
13 Correct 3 ms 4564 KB Output is correct
14 Correct 3 ms 4564 KB Output is correct
15 Correct 3 ms 4628 KB Output is correct
16 Correct 3 ms 4628 KB Output is correct
17 Correct 3 ms 4564 KB Output is correct
18 Correct 3 ms 4628 KB Output is correct
19 Correct 4 ms 4624 KB Output is correct
20 Correct 3 ms 4564 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 8616 KB Output is correct
2 Correct 93 ms 8968 KB Output is correct
3 Correct 115 ms 8944 KB Output is correct
4 Correct 94 ms 8956 KB Output is correct
5 Correct 92 ms 8860 KB Output is correct
6 Correct 91 ms 12308 KB Output is correct
7 Correct 105 ms 12208 KB Output is correct
8 Correct 121 ms 11340 KB Output is correct
9 Correct 114 ms 10464 KB Output is correct
10 Correct 122 ms 8872 KB Output is correct
11 Correct 125 ms 9976 KB Output is correct
12 Correct 106 ms 9932 KB Output is correct
13 Correct 117 ms 9908 KB Output is correct
14 Correct 89 ms 9676 KB Output is correct
15 Correct 71 ms 9440 KB Output is correct
16 Correct 55 ms 8368 KB Output is correct
17 Correct 73 ms 10196 KB Output is correct
18 Correct 86 ms 10168 KB Output is correct
19 Correct 84 ms 10124 KB Output is correct
20 Correct 87 ms 10252 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4564 KB Output is correct
2 Correct 3 ms 4692 KB Output is correct
3 Runtime error 596 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 94 ms 8612 KB Output is correct
2 Correct 97 ms 8664 KB Output is correct
3 Runtime error 702 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 452 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 452 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -