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Submission #926197

# Submission time Handle Problem Language Result Execution time Memory
926197 2024-02-12T17:06:44 Z codefox Duathlon (APIO18_duathlon) C++14
31 / 100
 139 ms 37884 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;
int root = -1;
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]-1)*(compsize[i]-2) +compsize[i]-1;
    if (!art[i]) opt[i][1] += 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));

    vector<int> degree(n, 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);
        degree[a]++;
        degree[b]++;
    }
    
    vector<pii> nodes;
    for (int i= 0; i < n; i++) nodes.push_back({degree[i], i});

    sort(nodes.begin(), nodes.end());
    for (pii ele:nodes)
    {
        if (!num[ele.second]) 
        {
            dfs(ele.second, -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 (pii ele:nodes)
    {
        if (!vis[comp[ele.second]])
        {
            dfs2(comp[ele.second]);
        }
    }

    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 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 348 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 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 348 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 88 ms 29324 KB Output is correct
2 Correct 76 ms 29300 KB Output is correct
3 Correct 100 ms 29300 KB Output is correct
4 Correct 86 ms 27320 KB Output is correct
5 Correct 105 ms 26508 KB Output is correct
6 Correct 99 ms 30240 KB Output is correct
7 Correct 90 ms 25280 KB Output is correct
8 Correct 108 ms 27576 KB Output is correct
9 Correct 99 ms 23940 KB Output is correct
10 Correct 83 ms 24640 KB Output is correct
11 Correct 84 ms 23012 KB Output is correct
12 Correct 85 ms 22844 KB Output is correct
13 Correct 78 ms 22980 KB Output is correct
14 Correct 74 ms 22720 KB Output is correct
15 Correct 62 ms 22460 KB Output is correct
16 Correct 80 ms 22076 KB Output is correct
17 Correct 21 ms 18132 KB Output is correct
18 Correct 22 ms 18128 KB Output is correct
19 Correct 24 ms 18132 KB Output is correct
20 Correct 22 ms 18132 KB Output is correct
21 Correct 22 ms 18284 KB Output is correct
22 Correct 26 ms 18132 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 2 ms 604 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 856 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 680 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 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 100 ms 25024 KB Output is correct
2 Correct 126 ms 25164 KB Output is correct
3 Correct 103 ms 25156 KB Output is correct
4 Correct 110 ms 25128 KB Output is correct
5 Correct 125 ms 25012 KB Output is correct
6 Correct 101 ms 37884 KB Output is correct
7 Correct 120 ms 33876 KB Output is correct
8 Correct 119 ms 28728 KB Output is correct
9 Correct 109 ms 27432 KB Output is correct
10 Correct 99 ms 25124 KB Output is correct
11 Correct 105 ms 25168 KB Output is correct
12 Correct 104 ms 25144 KB Output is correct
13 Correct 93 ms 25028 KB Output is correct
14 Correct 91 ms 24644 KB Output is correct
15 Correct 89 ms 24008 KB Output is correct
16 Correct 62 ms 22476 KB Output is correct
17 Correct 91 ms 28736 KB Output is correct
18 Correct 93 ms 28064 KB Output is correct
19 Correct 90 ms 27960 KB Output is correct
20 Correct 84 ms 27320 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 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 139 ms 25120 KB Output is correct
2 Correct 95 ms 24680 KB Output is correct
3 Incorrect 115 ms 24772 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 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 348 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 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 1 ms 348 KB Output isn't correct
8 Halted 0 ms 0 KB -