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Submission #1087873

# Submission time Handle Problem Language Result Execution time Memory
1087873 2024-09-13T10:42:25 Z alexander707070 Duathlon (APIO18_duathlon) C++14
71 / 100
 1000 ms 27984 KB 
#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;

long long n,m,a[MAXN],b[MAXN],k;

vector< pair<int,int> > v[MAXN];
vector<int> tree[MAXN];

long long sz[MAXN],sum[MAXN],szcomp[MAXN],ans;

bool li[MAXN],bridge[MAXN];
int dp[MAXN],low[MAXN];

long long comp[MAXN],where[MAXN];

void bcc(int x,int p,int dep,int edge){
    li[x]=true; dp[x]=low[x]=dep;

    for(int i=0;i<v[x].size();i++){
        if(!li[v[x][i].first]){
            bcc(v[x][i].first,x,dep+1,v[x][i].second);
            low[x]=min(low[x],low[v[x][i].first]);
        }else if(v[x][i].first!=p){
            low[x]=min(low[x],dp[v[x][i].first]);
        }
    }

    if(p!=0 and low[x]==dp[x]){
        bridge[edge]=true;
    }
}

void mark(int x){
    comp[k]++;
    where[x]=k;
    li[x]=true;

    for(int i=0;i<v[x].size();i++){
        if(li[v[x][i].first] or bridge[v[x][i].second])continue;
        mark(v[x][i].first);
    }
}

void dfs(int x,int p){
    sz[x]=comp[x];

    for(int i=0;i<tree[x].size();i++){
        if(tree[x][i]==p or sz[tree[x][i]]!=0)continue;
        dfs(tree[x][i],x);

        sum[x]+=sz[tree[x][i]]*(sz[tree[x][i]]-1);
        sz[x]+=sz[tree[x][i]];
    }
}

void dfs2(int x,int p,int s){
    szcomp[x]=s;

    for(int i=0;i<tree[x].size();i++){
        if(tree[x][i]==p or szcomp[tree[x][i]]!=0)continue;
        dfs2(tree[x][i],x,s);
    }

    sum[x]+=(s-sz[x])*(s-sz[x]-1);
}

queue<int> q;
bool vis[MAXN];
int par[MAXN];

void dobfs(int x){
    for(int i=1;i<=n;i++)li[i]=false;

    for(int i=1;i<=n;i++){
        random_shuffle(v[i].begin(),v[i].end());
    }

    q.push(x); par[x]=0;
    li[x]=true;

    while(!q.empty()){
        int curr=q.front();
        q.pop();

        for(int i=0;i<v[curr].size();i++){
            if(li[v[curr][i].first] or vis[v[curr][i].first])continue;

            q.push(v[curr][i].first);
            li[v[curr][i].first]=true;
            par[v[curr][i].first]=curr;
        }
    }    
}

bool check(int x,int y,int z){
    for(int i=1;i<=n;i++)vis[i]=false;

    dobfs(x);

    if(!li[y])return false;

    int w=y;
    while(y!=x){
        y=par[y];
        vis[y]=true;
    }

    if(vis[z])return false;

    dobfs(z);

    return li[w];
}

void brute(){
    int res=0;

    for(int i=1;i<=n;i++){
        for(int f=1;f<=n;f++){
            for(int t=1;t<=n;t++){
                if(i==f or f==t or i==t or i>t)continue;

                for(int test=1;test<=20;test++){
                    if(check(i,f,t) or check(t,f,i)){
                        res+=2; break;
                    }
                }
            }
        }
    }

    cout<<res<<"\n";
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>m;
    for(int i=1;i<=m;i++){
        cin>>a[i]>>b[i];
        v[a[i]].push_back({b[i],i});
        v[b[i]].push_back({a[i],i});
    }

    if(n<=50){
        brute();
        return 0;
    }

    for(int i=1;i<=n;i++){
        if(!li[i])bcc(i,0,0,0);
    }

    for(int i=1;i<=n;i++)li[i]=false;

    for(int i=1;i<=n;i++){
        if(!li[i]){
            k++; mark(i);
        }
    }

    for(int i=1;i<=m;i++){
        if(where[a[i]]==where[b[i]])continue;

        tree[where[a[i]]].push_back(where[b[i]]);
        tree[where[b[i]]].push_back(where[a[i]]);
    }

    for(int i=1;i<=k;i++){
        if(sz[i]==0){
            dfs(i,0);
            dfs2(i,0,sz[i]);
        }
    }

    for(int i=1;i<=k;i++){
        ans+=(long long) comp[i]*((szcomp[i]-1)*(szcomp[i]-2)-sum[i]);
        ans-=(long long) 2*(comp[i]-1)*(szcomp[i]-comp[i]);
    }

    for(int i=1;i<=n;i++){
        long long res=0,sq=0;

        for(int f=0;f<v[i].size();f++){
            if(where[i]==where[v[i][f].first])continue;
            
            if(sz[where[i]]>sz[where[v[i][f].first]]){
                res+=sz[where[v[i][f].first]];
                sq+=(sz[where[v[i][f].first]]-1)*sz[where[v[i][f].first]];
            }else{
                res+=(szcomp[where[i]]-sz[where[i]]);
                sq+=(szcomp[where[i]]-sz[where[i]])*(szcomp[where[i]]-sz[where[i]]-1);
            }
        }

        res=res*(res-1);
        res-=sq;

        ans-=(long long) (comp[where[i]]-1)*res;
    }

    cout<<ans<<"\n";

    return 0;
}

/**
 19 24
1 2
2 3
3 4
4 1
5 6
6 7
7 5
8 9
9 10
10 8
11 12
12 13
13 11
14 15
15 16
16 14
17 18
18 19
17 19
7 8
4 5
7 11
13 17
12 14
 */

Compilation message

count_triplets.cpp: In function 'void bcc(int, int, int, int)':
count_triplets.cpp:20:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   20 |     for(int i=0;i<v[x].size();i++){
      |                 ~^~~~~~~~~~~~
count_triplets.cpp: In function 'void mark(int)':
count_triplets.cpp:39:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |     for(int i=0;i<v[x].size();i++){
      |                 ~^~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs(int, int)':
count_triplets.cpp:48:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   48 |     for(int i=0;i<tree[x].size();i++){
      |                 ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs2(int, int, int)':
count_triplets.cpp:60:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |     for(int i=0;i<tree[x].size();i++){
      |                 ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void dobfs(int)':
count_triplets.cpp:86:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |         for(int i=0;i<v[curr].size();i++){
      |                     ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:188:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  188 |         for(int f=0;f<v[i].size();f++){
      |                     ~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9816 KB Output is correct
2 Correct 4 ms 9852 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 4 ms 9668 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 9 ms 9820 KB Output is correct
8 Correct 8 ms 9816 KB Output is correct
9 Correct 5 ms 9820 KB Output is correct
10 Correct 5 ms 9820 KB Output is correct
11 Correct 9 ms 9888 KB Output is correct
12 Correct 9 ms 9820 KB Output is correct
13 Correct 9 ms 9820 KB Output is correct
14 Correct 7 ms 9820 KB Output is correct
15 Correct 8 ms 9820 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 6 ms 9756 KB Output is correct
18 Correct 6 ms 9820 KB Output is correct
19 Correct 5 ms 9820 KB Output is correct
20 Correct 5 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 10 ms 9888 KB Output is correct
23 Correct 8 ms 9820 KB Output is correct
24 Correct 6 ms 9820 KB Output is correct
25 Correct 8 ms 9820 KB Output is correct
26 Correct 10 ms 9820 KB Output is correct
27 Correct 6 ms 9884 KB Output is correct
28 Correct 6 ms 9820 KB Output is correct
29 Correct 10 ms 9820 KB Output is correct
30 Correct 6 ms 9672 KB Output is correct
31 Correct 6 ms 9820 KB Output is correct
32 Correct 9 ms 9820 KB Output is correct
33 Correct 6 ms 9880 KB Output is correct
34 Correct 6 ms 9820 KB Output is correct
35 Correct 7 ms 9820 KB Output is correct

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9816 KB Output is correct
2 Correct 4 ms 9852 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 4 ms 9668 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 9 ms 9820 KB Output is correct
8 Correct 8 ms 9816 KB Output is correct
9 Correct 5 ms 9820 KB Output is correct
10 Correct 5 ms 9820 KB Output is correct
11 Correct 9 ms 9888 KB Output is correct
12 Correct 9 ms 9820 KB Output is correct
13 Correct 9 ms 9820 KB Output is correct
14 Correct 7 ms 9820 KB Output is correct
15 Correct 8 ms 9820 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 6 ms 9756 KB Output is correct
18 Correct 6 ms 9820 KB Output is correct
19 Correct 5 ms 9820 KB Output is correct
20 Correct 5 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 10 ms 9888 KB Output is correct
23 Correct 8 ms 9820 KB Output is correct
24 Correct 6 ms 9820 KB Output is correct
25 Correct 8 ms 9820 KB Output is correct
26 Correct 10 ms 9820 KB Output is correct
27 Correct 6 ms 9884 KB Output is correct
28 Correct 6 ms 9820 KB Output is correct
29 Correct 10 ms 9820 KB Output is correct
30 Correct 6 ms 9672 KB Output is correct
31 Correct 6 ms 9820 KB Output is correct
32 Correct 9 ms 9820 KB Output is correct
33 Correct 6 ms 9880 KB Output is correct
34 Correct 6 ms 9820 KB Output is correct
35 Correct 7 ms 9820 KB Output is correct
36 Correct 154 ms 9868 KB Output is correct
37 Correct 727 ms 9816 KB Output is correct
38 Execution timed out 1072 ms 9820 KB Time limit exceeded
39 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 25296 KB Output is correct
2 Correct 48 ms 25168 KB Output is correct
3 Correct 53 ms 24400 KB Output is correct
4 Correct 52 ms 24912 KB Output is correct
5 Correct 50 ms 22100 KB Output is correct
6 Correct 58 ms 23656 KB Output is correct
7 Correct 61 ms 22824 KB Output is correct
8 Correct 56 ms 23328 KB Output is correct
9 Correct 53 ms 22148 KB Output is correct
10 Correct 58 ms 22356 KB Output is correct
11 Correct 41 ms 20568 KB Output is correct
12 Correct 42 ms 20448 KB Output is correct
13 Correct 38 ms 20560 KB Output is correct
14 Correct 40 ms 20304 KB Output is correct
15 Correct 32 ms 20052 KB Output is correct
16 Correct 33 ms 19796 KB Output is correct
17 Correct 7 ms 14684 KB Output is correct
18 Correct 8 ms 14684 KB Output is correct
19 Correct 8 ms 14680 KB Output is correct
20 Correct 8 ms 14684 KB Output is correct
21 Correct 8 ms 14684 KB Output is correct
22 Correct 8 ms 14480 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10076 KB Output is correct
2 Correct 4 ms 9996 KB Output is correct
3 Correct 5 ms 9880 KB Output is correct
4 Correct 4 ms 10076 KB Output is correct
5 Correct 5 ms 10072 KB Output is correct
6 Correct 5 ms 10076 KB Output is correct
7 Correct 4 ms 10076 KB Output is correct
8 Correct 7 ms 9876 KB Output is correct
9 Correct 4 ms 10072 KB Output is correct
10 Correct 4 ms 9920 KB Output is correct
11 Correct 4 ms 10076 KB Output is correct
12 Correct 4 ms 9820 KB Output is correct
13 Correct 4 ms 9872 KB Output is correct
14 Correct 4 ms 9820 KB Output is correct
15 Correct 5 ms 9820 KB Output is correct
16 Correct 4 ms 9820 KB Output is correct
17 Correct 5 ms 10072 KB Output is correct
18 Correct 4 ms 10076 KB Output is correct
19 Correct 5 ms 9872 KB Output is correct
20 Correct 4 ms 10072 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 24404 KB Output is correct
2 Correct 66 ms 24524 KB Output is correct
3 Correct 61 ms 24400 KB Output is correct
4 Correct 58 ms 24404 KB Output is correct
5 Correct 58 ms 24412 KB Output is correct
6 Correct 65 ms 27984 KB Output is correct
7 Correct 62 ms 26964 KB Output is correct
8 Correct 62 ms 26132 KB Output is correct
9 Correct 61 ms 25612 KB Output is correct
10 Correct 55 ms 24352 KB Output is correct
11 Correct 55 ms 24404 KB Output is correct
12 Correct 57 ms 24400 KB Output is correct
13 Correct 63 ms 24568 KB Output is correct
14 Correct 57 ms 23972 KB Output is correct
15 Correct 45 ms 23120 KB Output is correct
16 Correct 32 ms 20824 KB Output is correct
17 Correct 41 ms 25040 KB Output is correct
18 Correct 38 ms 24900 KB Output is correct
19 Correct 42 ms 25272 KB Output is correct
20 Correct 38 ms 24896 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 10076 KB Output is correct
2 Correct 4 ms 9820 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 4 ms 9820 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 4 ms 9820 KB Output is correct
8 Correct 4 ms 9820 KB Output is correct
9 Correct 4 ms 9820 KB Output is correct
10 Correct 4 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 4 ms 10076 KB Output is correct
13 Correct 5 ms 9816 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 4 ms 9996 KB Output is correct
16 Correct 8 ms 9820 KB Output is correct
17 Correct 5 ms 9820 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
19 Correct 5 ms 9876 KB Output is correct
20 Correct 5 ms 9820 KB Output is correct
21 Correct 5 ms 9816 KB Output is correct
22 Correct 5 ms 9820 KB Output is correct
23 Correct 5 ms 9820 KB Output is correct
24 Correct 4 ms 9820 KB Output is correct
25 Correct 4 ms 9820 KB Output is correct
26 Correct 5 ms 9868 KB Output is correct
27 Correct 4 ms 9820 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 23888 KB Output is correct
2 Correct 67 ms 23692 KB Output is correct
3 Correct 67 ms 22520 KB Output is correct
4 Correct 57 ms 20816 KB Output is correct
5 Correct 49 ms 19280 KB Output is correct
6 Correct 44 ms 18656 KB Output is correct
7 Correct 44 ms 18348 KB Output is correct
8 Correct 43 ms 17964 KB Output is correct
9 Correct 41 ms 17752 KB Output is correct
10 Correct 43 ms 17744 KB Output is correct
11 Correct 41 ms 17404 KB Output is correct
12 Correct 45 ms 17380 KB Output is correct
13 Correct 39 ms 17244 KB Output is correct
14 Correct 40 ms 19036 KB Output is correct
15 Correct 68 ms 25432 KB Output is correct
16 Correct 66 ms 24400 KB Output is correct
17 Correct 62 ms 24404 KB Output is correct
18 Correct 73 ms 23288 KB Output is correct
19 Correct 60 ms 20884 KB Output is correct
20 Correct 56 ms 20820 KB Output is correct
21 Correct 56 ms 20820 KB Output is correct
22 Correct 48 ms 20304 KB Output is correct
23 Correct 44 ms 19284 KB Output is correct
24 Correct 53 ms 22600 KB Output is correct
25 Correct 55 ms 22768 KB Output is correct
26 Correct 58 ms 21588 KB Output is correct
27 Correct 59 ms 21584 KB Output is correct

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9816 KB Output is correct
2 Correct 4 ms 9852 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 4 ms 9668 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 9 ms 9820 KB Output is correct
8 Correct 8 ms 9816 KB Output is correct
9 Correct 5 ms 9820 KB Output is correct
10 Correct 5 ms 9820 KB Output is correct
11 Correct 9 ms 9888 KB Output is correct
12 Correct 9 ms 9820 KB Output is correct
13 Correct 9 ms 9820 KB Output is correct
14 Correct 7 ms 9820 KB Output is correct
15 Correct 8 ms 9820 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 6 ms 9756 KB Output is correct
18 Correct 6 ms 9820 KB Output is correct
19 Correct 5 ms 9820 KB Output is correct
20 Correct 5 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 10 ms 9888 KB Output is correct
23 Correct 8 ms 9820 KB Output is correct
24 Correct 6 ms 9820 KB Output is correct
25 Correct 8 ms 9820 KB Output is correct
26 Correct 10 ms 9820 KB Output is correct
27 Correct 6 ms 9884 KB Output is correct
28 Correct 6 ms 9820 KB Output is correct
29 Correct 10 ms 9820 KB Output is correct
30 Correct 6 ms 9672 KB Output is correct
31 Correct 6 ms 9820 KB Output is correct
32 Correct 9 ms 9820 KB Output is correct
33 Correct 6 ms 9880 KB Output is correct
34 Correct 6 ms 9820 KB Output is correct
35 Correct 7 ms 9820 KB Output is correct
36 Correct 154 ms 9868 KB Output is correct
37 Correct 727 ms 9816 KB Output is correct
38 Execution timed out 1072 ms 9820 KB Time limit exceeded
39 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9816 KB Output is correct
2 Correct 4 ms 9852 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 4 ms 9668 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 9 ms 9820 KB Output is correct
8 Correct 8 ms 9816 KB Output is correct
9 Correct 5 ms 9820 KB Output is correct
10 Correct 5 ms 9820 KB Output is correct
11 Correct 9 ms 9888 KB Output is correct
12 Correct 9 ms 9820 KB Output is correct
13 Correct 9 ms 9820 KB Output is correct
14 Correct 7 ms 9820 KB Output is correct
15 Correct 8 ms 9820 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 6 ms 9756 KB Output is correct
18 Correct 6 ms 9820 KB Output is correct
19 Correct 5 ms 9820 KB Output is correct
20 Correct 5 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 10 ms 9888 KB Output is correct
23 Correct 8 ms 9820 KB Output is correct
24 Correct 6 ms 9820 KB Output is correct
25 Correct 8 ms 9820 KB Output is correct
26 Correct 10 ms 9820 KB Output is correct
27 Correct 6 ms 9884 KB Output is correct
28 Correct 6 ms 9820 KB Output is correct
29 Correct 10 ms 9820 KB Output is correct
30 Correct 6 ms 9672 KB Output is correct
31 Correct 6 ms 9820 KB Output is correct
32 Correct 9 ms 9820 KB Output is correct
33 Correct 6 ms 9880 KB Output is correct
34 Correct 6 ms 9820 KB Output is correct
35 Correct 7 ms 9820 KB Output is correct
36 Correct 154 ms 9868 KB Output is correct
37 Correct 727 ms 9816 KB Output is correct
38 Execution timed out 1072 ms 9820 KB Time limit exceeded
39 Halted 0 ms 0 KB -