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Submission #925310

# Submission time Handle Problem Language Result Execution time Memory
925310 2024-02-11T11:28:29 Z codefox Duathlon (APIO18_duathlon) C++14
31 / 100
 119 ms 29948 KB 
#include<bits/stdc++.h>
    
using namespace std;
    
#define int ll    
#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() != i)
                {
                    comp[s.top()] = 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])*(compsize[i]-1)*2;
        if (!art[i]) sol += opt[ele][0]*(compsize[i])*2;
        sol += opt[ele][1]*compsize[i]*2;
    }
    for (auto 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 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 344 KB Output isn't correct
8 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 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 344 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 26964 KB Output is correct
2 Correct 79 ms 26964 KB Output is correct
3 Correct 85 ms 25832 KB Output is correct
4 Correct 92 ms 24952 KB Output is correct
5 Correct 82 ms 23120 KB Output is correct
6 Correct 85 ms 24780 KB Output is correct
7 Correct 92 ms 22864 KB Output is correct
8 Correct 83 ms 23380 KB Output is correct
9 Correct 84 ms 21588 KB Output is correct
10 Correct 81 ms 21840 KB Output is correct
11 Correct 70 ms 20048 KB Output is correct
12 Correct 69 ms 19792 KB Output is correct
13 Correct 72 ms 20052 KB Output is correct
14 Correct 68 ms 19616 KB Output is correct
15 Correct 61 ms 19808 KB Output is correct
16 Correct 52 ms 19352 KB Output is correct
17 Correct 11 ms 15192 KB Output is correct
18 Correct 13 ms 15144 KB Output is correct
19 Correct 12 ms 15196 KB Output is correct
20 Correct 12 ms 15196 KB Output is correct
21 Correct 12 ms 15256 KB Output is correct
22 Correct 11 ms 15196 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 604 KB Output is correct
5 Correct 1 ms 600 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 600 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 2 ms 604 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 600 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 92 ms 22780 KB Output is correct
2 Correct 96 ms 22580 KB Output is correct
3 Correct 108 ms 22612 KB Output is correct
4 Correct 91 ms 22604 KB Output is correct
5 Correct 90 ms 22760 KB Output is correct
6 Correct 119 ms 29948 KB Output is correct
7 Correct 101 ms 27476 KB Output is correct
8 Correct 97 ms 26196 KB Output is correct
9 Correct 93 ms 25056 KB Output is correct
10 Correct 107 ms 22616 KB Output is correct
11 Correct 93 ms 22608 KB Output is correct
12 Correct 90 ms 22608 KB Output is correct
13 Correct 99 ms 22924 KB Output is correct
14 Correct 90 ms 22352 KB Output is correct
15 Correct 81 ms 21844 KB Output is correct
16 Correct 55 ms 20048 KB Output is correct
17 Correct 76 ms 25288 KB Output is correct
18 Correct 75 ms 25264 KB Output is correct
19 Correct 77 ms 25020 KB Output is correct
20 Correct 79 ms 24708 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 98 ms 22644 KB Output is correct
2 Correct 92 ms 22356 KB Output is correct
3 Incorrect 92 ms 21328 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 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 344 KB Output isn't correct
8 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 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 344 KB Output isn't correct
8 Halted 0 ms 0 KB -