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Submission #925341

# Submission time Handle Problem Language Result Execution time Memory
925341 2024-02-11T13:11:20 Z codefox Duathlon (APIO18_duathlon) C++14
31 / 100
 109 ms 27984 KB 
#include<bits/stdc++.h>
    
using namespace std;
    
#define ll long long
#define pii pair<int, int>
    
vector<vector<int>> graph;
vector<vector<int>> cgraph;
vector<vector<ll>> opt;
vector<int> comp;
vector<int> low;
vector<int> num;
vector<int> vis;
vector<int> art;
vector<ll> compsize;
stack<int> s;
ll sol = 0;
int c = 0;
int d = 0;
ll n, m;
    
void dfs(int i, int p)
{
    num[i] = low[i] = ++c;
    s.push(i);
    for (int ele:graph[i])
    {
        if (ele == p) continue;
        if (!num[ele]) 
        {
            dfs(ele, i);
            if (low[ele]==num[i])
            {
                while(s.top() != ele)
                {
                    comp[s.top()] = d;
                    compsize[d]++;
                    s.pop();
                }
                comp[ele] = d;
                compsize[d]++;
                s.pop();
                d++;
            }
        }
        low[i] = min(low[i], low[ele]);
    }
    if (num[i]==low[i])
    {
        art[d] = 1;
        while (s.top() != i)
        {
            comp[s.top()] = d;
            compsize[d]++;
            s.pop();
        }
        comp[i] = d;
        compsize[d]++;
        s.pop();
        d++;
    }
}
    
void dfs2(int i)
{
    vis[i] = 1;
    opt[i][0] = compsize[i];
    opt[i][1] = compsize[i]*(compsize[i]-1);
    sol += (compsize[i]-2)*compsize[i]*(compsize[i]-1);
    if (!art[i]) sol += compsize[i]*(compsize[i]-1);
    vector<array<ll, 2>> ones;
    ll sum = 0;
    for (int ele:cgraph[i])
    {
        if (vis[ele]) continue;
        dfs2(ele);
        opt[i][0] += opt[ele][0];
        opt[i][1] += opt[ele][1] + opt[ele][0]*compsize[i];
        sum += opt[ele][0];
        ones.push_back({opt[ele][0], opt[ele][1]});
        sol += opt[ele][0]*(compsize[i]-1)*(compsize[i]-2)*2;
        sol += opt[ele][0]*(compsize[i]-1)*2;
        if (!art[i]) sol += opt[ele][0]*(compsize[i]-1)*2;
        sol += opt[ele][1]*compsize[i]*2;
    }

    for (array<ll, 2> ele:ones)
    {
        if (!art[i]) sol += ele[0]*(sum-ele[0])*(compsize[i]+1);
        else         sol += ele[0]*(sum-ele[0])*(compsize[i]);
        sol += ele[1]*(sum-ele[0])*2;
    }
}
    
int32_t main()
{
    //freopen("input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);
    
    cin >> n >> m;
    graph.assign(n, vector<int>());
    cgraph.assign(n, vector<int>());
    compsize.assign(n, 0);
    low.assign(n, 0);
    num.assign(n, 0);
    comp.assign(n, -1);
    vis.assign(n, 0);
    art.assign(n, 0);
    opt.assign(n, vector<ll>(2, 0));
    
    for (int i =0; i < m; i++)
    {
        int a, b;
        cin >> a >> b;
        a--; b--;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }
    
    for (int i = 0; i < n; i++)
    {
        if (!num[i]) 
        {
            dfs(i, -1);
        }
    }
    
    for (int i = 0; i <n; i++)
    {
        for (int ele:graph[i])
        {
            if (comp[i] == comp[ele]) continue;
            cgraph[comp[i]].push_back(comp[ele]);
        }
    }
    
    for (int i = 0; i < n; i++)
    {
        if (!vis[comp[i]])
        {
            dfs2(comp[i]);
        }
    }

    cout << sol << "\n";
    
    return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 360 KB Output is correct
13 Correct 0 ms 360 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Incorrect 0 ms 348 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 360 KB Output is correct
13 Correct 0 ms 360 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Incorrect 0 ms 348 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 24660 KB Output is correct
2 Correct 80 ms 24872 KB Output is correct
3 Correct 83 ms 24400 KB Output is correct
4 Correct 73 ms 23012 KB Output is correct
5 Correct 79 ms 21588 KB Output is correct
6 Correct 81 ms 23420 KB Output is correct
7 Correct 97 ms 21204 KB Output is correct
8 Correct 85 ms 21644 KB Output is correct
9 Correct 79 ms 19888 KB Output is correct
10 Correct 74 ms 20124 KB Output is correct
11 Correct 67 ms 18524 KB Output is correct
12 Correct 65 ms 18260 KB Output is correct
13 Correct 64 ms 18516 KB Output is correct
14 Correct 73 ms 18256 KB Output is correct
15 Correct 53 ms 18108 KB Output is correct
16 Correct 51 ms 17856 KB Output is correct
17 Correct 10 ms 13148 KB Output is correct
18 Correct 11 ms 13344 KB Output is correct
19 Correct 10 ms 13148 KB Output is correct
20 Correct 14 ms 13404 KB Output is correct
21 Correct 11 ms 13144 KB Output is correct
22 Correct 11 ms 13148 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 580 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 616 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 2 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 19832 KB Output is correct
2 Correct 83 ms 19800 KB Output is correct
3 Correct 88 ms 19696 KB Output is correct
4 Correct 81 ms 19676 KB Output is correct
5 Correct 85 ms 19816 KB Output is correct
6 Correct 95 ms 27984 KB Output is correct
7 Correct 109 ms 25476 KB Output is correct
8 Correct 89 ms 24032 KB Output is correct
9 Correct 95 ms 22612 KB Output is correct
10 Correct 85 ms 19792 KB Output is correct
11 Correct 97 ms 20196 KB Output is correct
12 Correct 79 ms 19840 KB Output is correct
13 Correct 82 ms 19796 KB Output is correct
14 Correct 76 ms 19556 KB Output is correct
15 Correct 88 ms 19248 KB Output is correct
16 Correct 48 ms 18000 KB Output is correct
17 Correct 72 ms 22472 KB Output is correct
18 Correct 75 ms 22596 KB Output is correct
19 Correct 71 ms 22212 KB Output is correct
20 Correct 72 ms 22028 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Incorrect 1 ms 604 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 19704 KB Output is correct
2 Correct 89 ms 19536 KB Output is correct
3 Incorrect 101 ms 19028 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 360 KB Output is correct
13 Correct 0 ms 360 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Incorrect 0 ms 348 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 360 KB Output is correct
13 Correct 0 ms 360 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Incorrect 0 ms 348 KB Output isn't correct
23 Halted 0 ms 0 KB -