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Submission #1087780

# Submission time Handle Problem Language Result Execution time Memory
1087780 2024-09-13T08:34:46 Z alexander707070 Duathlon (APIO18_duathlon) C++14
31 / 100
 65 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);
}

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 9816 KB Output is correct
2 Correct 5 ms 9820 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 5 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 Incorrect 4 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 9816 KB Output is correct
2 Correct 5 ms 9820 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 5 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 Incorrect 4 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 46 ms 25172 KB Output is correct
2 Correct 44 ms 25208 KB Output is correct
3 Correct 54 ms 24404 KB Output is correct
4 Correct 48 ms 25172 KB Output is correct
5 Correct 52 ms 22096 KB Output is correct
6 Correct 55 ms 23632 KB Output is correct
7 Correct 51 ms 22864 KB Output is correct
8 Correct 58 ms 23380 KB Output is correct
9 Correct 54 ms 22100 KB Output is correct
10 Correct 52 ms 22096 KB Output is correct
11 Correct 42 ms 20564 KB Output is correct
12 Correct 42 ms 20564 KB Output is correct
13 Correct 37 ms 20564 KB Output is correct
14 Correct 40 ms 20308 KB Output is correct
15 Correct 32 ms 20048 KB Output is correct
16 Correct 32 ms 19804 KB Output is correct
17 Correct 8 ms 14732 KB Output is correct
18 Correct 7 ms 14684 KB Output is correct
19 Correct 8 ms 14600 KB Output is correct
20 Correct 8 ms 14736 KB Output is correct
21 Correct 7 ms 14684 KB Output is correct
22 Correct 8 ms 14664 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9820 KB Output is correct
2 Correct 4 ms 10016 KB Output is correct
3 Correct 4 ms 9820 KB Output is correct
4 Correct 4 ms 10072 KB Output is correct
5 Correct 4 ms 10104 KB Output is correct
6 Correct 5 ms 10076 KB Output is correct
7 Correct 4 ms 10076 KB Output is correct
8 Correct 5 ms 10076 KB Output is correct
9 Correct 5 ms 10076 KB Output is correct
10 Correct 8 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 4 ms 9820 KB Output is correct
14 Correct 4 ms 9820 KB Output is correct
15 Correct 4 ms 10060 KB Output is correct
16 Correct 4 ms 9816 KB Output is correct
17 Correct 5 ms 9820 KB Output is correct
18 Correct 4 ms 10076 KB Output is correct
19 Correct 4 ms 10076 KB Output is correct
20 Correct 4 ms 10076 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 24564 KB Output is correct
2 Correct 57 ms 24404 KB Output is correct
3 Correct 54 ms 24576 KB Output is correct
4 Correct 62 ms 24400 KB Output is correct
5 Correct 54 ms 24400 KB Output is correct
6 Correct 63 ms 27984 KB Output is correct
7 Correct 65 ms 26964 KB Output is correct
8 Correct 64 ms 26196 KB Output is correct
9 Correct 61 ms 25676 KB Output is correct
10 Correct 58 ms 24412 KB Output is correct
11 Correct 54 ms 24580 KB Output is correct
12 Correct 56 ms 24328 KB Output is correct
13 Correct 55 ms 24404 KB Output is correct
14 Correct 50 ms 23888 KB Output is correct
15 Correct 53 ms 23120 KB Output is correct
16 Correct 31 ms 20824 KB Output is correct
17 Correct 37 ms 24992 KB Output is correct
18 Correct 37 ms 24908 KB Output is correct
19 Correct 40 ms 25116 KB Output is correct
20 Correct 41 ms 24900 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9820 KB Output is correct
2 Correct 4 ms 9896 KB Output is correct
3 Incorrect 4 ms 10016 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 24560 KB Output is correct
2 Correct 58 ms 24148 KB Output is correct
3 Incorrect 62 ms 22864 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 9816 KB Output is correct
2 Correct 5 ms 9820 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 5 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 Incorrect 4 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 9816 KB Output is correct
2 Correct 5 ms 9820 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 5 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 Incorrect 4 ms 9820 KB Output isn't correct
8 Halted 0 ms 0 KB -