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Submission #1087771

# Submission time Handle Problem Language Result Execution time Memory
1087771 2024-09-13T08:20:21 Z alexander707070 Duathlon (APIO18_duathlon) C++14
31 / 100
 61 ms 26448 KB 
#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;

int 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];

int 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);
}

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});
    }

    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]);
    }


    cout<<ans<<"\n";

    return 0;
}

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++){
      |                 ~^~~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 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 9920 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Incorrect 5 ms 9820 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 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 9920 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Incorrect 5 ms 9820 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 42 ms 23888 KB Output is correct
2 Correct 42 ms 23980 KB Output is correct
3 Correct 51 ms 23124 KB Output is correct
4 Correct 46 ms 23640 KB Output is correct
5 Correct 46 ms 20820 KB Output is correct
6 Correct 59 ms 22364 KB Output is correct
7 Correct 52 ms 21332 KB Output is correct
8 Correct 55 ms 21932 KB Output is correct
9 Correct 51 ms 20560 KB Output is correct
10 Correct 53 ms 20840 KB Output is correct
11 Correct 40 ms 19440 KB Output is correct
12 Correct 46 ms 19160 KB Output is correct
13 Correct 36 ms 19292 KB Output is correct
14 Correct 36 ms 19036 KB Output is correct
15 Correct 32 ms 19024 KB Output is correct
16 Correct 30 ms 18516 KB Output is correct
17 Correct 8 ms 13916 KB Output is correct
18 Correct 8 ms 13916 KB Output is correct
19 Correct 7 ms 13728 KB Output is correct
20 Correct 7 ms 13916 KB Output is correct
21 Correct 7 ms 13916 KB Output is correct
22 Correct 7 ms 13916 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 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 10076 KB Output is correct
5 Correct 4 ms 10076 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 4 ms 10076 KB Output is correct
8 Correct 4 ms 9820 KB Output is correct
9 Correct 4 ms 9832 KB Output is correct
10 Correct 4 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 5 ms 9820 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 10072 KB Output is correct
15 Correct 5 ms 9820 KB Output is correct
16 Correct 5 ms 9820 KB Output is correct
17 Correct 5 ms 9820 KB Output is correct
18 Correct 4 ms 9820 KB Output is correct
19 Correct 4 ms 9820 KB Output is correct
20 Correct 4 ms 9820 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 22904 KB Output is correct
2 Correct 54 ms 22812 KB Output is correct
3 Correct 57 ms 22860 KB Output is correct
4 Correct 56 ms 22872 KB Output is correct
5 Correct 55 ms 22808 KB Output is correct
6 Correct 61 ms 26448 KB Output is correct
7 Correct 60 ms 25456 KB Output is correct
8 Correct 60 ms 24656 KB Output is correct
9 Correct 58 ms 24092 KB Output is correct
10 Correct 55 ms 22864 KB Output is correct
11 Correct 54 ms 22876 KB Output is correct
12 Correct 52 ms 23004 KB Output is correct
13 Correct 52 ms 22868 KB Output is correct
14 Correct 54 ms 22608 KB Output is correct
15 Correct 45 ms 21840 KB Output is correct
16 Correct 30 ms 19536 KB Output is correct
17 Correct 37 ms 23240 KB Output is correct
18 Correct 37 ms 23368 KB Output is correct
19 Correct 39 ms 23736 KB Output is correct
20 Correct 38 ms 23372 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9816 KB Output is correct
2 Correct 5 ms 9820 KB Output is correct
3 Incorrect 4 ms 9820 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 22768 KB Output is correct
2 Correct 58 ms 22656 KB Output is correct
3 Incorrect 54 ms 21332 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 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 9920 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Incorrect 5 ms 9820 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 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 9920 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Incorrect 5 ms 9820 KB Output isn't correct
8 Halted 0 ms 0 KB -