oj.uz

Submission #866182

# Submission time Handle Problem Language Result Execution time Memory
866182 2023-10-25T14:32:07 Z alexander707070 Duathlon (APIO18_duathlon) C++14
31 / 100
 69 ms 33672 KB 
#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;
 
long long n,m,a[MAXN],b[MAXN];
long long sz[MAXN],szcomp[MAXN],total[MAXN],rem[MAXN];
int comp[MAXN],k;
vector< pair<int,int> > v[MAXN];
vector<int> tree[MAXN];
 
long long ans,sum[MAXN];
 
int dep[MAXN],low[MAXN];
bool li[MAXN],bridge[MAXN];
 
void bcc(int x,int p,int d,int e){
 
    li[x]=true; dep[x]=d; low[x]=dep[x];
 
    for(int i=0;i<v[x].size();i++){
        if(!li[v[x][i].first]){
            bcc(v[x][i].first,x,d+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],dep[v[x][i].first]);
        }
    }
 
    if(p!=0 and low[x]==dep[x]){
        bridge[e]=true;
    }
}
 
void dfs(int x,int c){
    li[x]=true; comp[x]=c;
    szcomp[c]++;
 
    for(int i=0;i<v[x].size();i++){
        if(li[v[x][i].first] or bridge[v[x][i].second])continue;
        dfs(v[x][i].first,c);
    }
}

int num[MAXN],w,last[MAXN];

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

    w++; num[x]=w;

    sum[x]=szcomp[x]*(szcomp[x]-1);
 
    for(int i=0;i<tree[x].size();i++){
        if(tree[x][i]==p)continue;
 
        dfs2(tree[x][i],x);
        sz[x]+=sz[tree[x][i]];
        sum[x]+=sum[tree[x][i]];
    }

    last[x]=w;
}

int root[MAXN];
 
void dfs3(int x,int p,int t,int r){
    total[x]=t; root[x]=r;
 
    for(int i=0;i<tree[x].size();i++){
        if(tree[x][i]==p)continue;
        dfs3(tree[x][i],x,t,r);
    }
}

bool check(int x,int y){
    return num[y]>=num[x] and num[y]<=last[x];
}
 
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++; dfs(i,k);
        }
    }
 
    for(int i=1;i<=m;i++){
        if(comp[a[i]]==comp[b[i]])continue;
 
        tree[comp[a[i]]].push_back(comp[b[i]]);
        tree[comp[b[i]]].push_back(comp[a[i]]);
    }
 
    for(int i=1;i<=k;i++){
        if(sz[i]==0){
            dfs2(i,0);
            dfs3(i,0,sz[i],i);
        }
    }
 
    for(int i=1;i<=m;i++){
        if(comp[a[i]]==comp[b[i]])continue;
        
        if(sz[comp[a[i]]]<sz[comp[b[i]]])swap(a[i],b[i]);
 
        rem[a[i]]+=sz[comp[b[i]]];
        rem[b[i]]+=total[comp[b[i]]]-sz[comp[b[i]]];
    }
    
    for(int i=1;i<=k;i++){
        ans+=( (total[i])*(total[i]-1) - sum[root[i]] - szcomp[i]*(total[i]-szcomp[i])*2 ) * szcomp[i];
 
        for(int f=0;f<tree[i].size();f++){
            if(sz[tree[i][f]]<sz[i]){
                ans-=(sz[tree[i][f]]*(sz[tree[i][f]]-1) - sum[tree[i][f]] )*szcomp[i];
            }else{
                ans-=( ( (total[i]-sz[i])*(total[i]-sz[i]-1) -  (sum[root[i]] - sum[i]) ) )*szcomp[i];
            }
        }
    }
 
    for(int i=1;i<=n;i++){
        ans+=(szcomp[comp[i]]-1)*(total[comp[i]]-szcomp[comp[i]]-rem[i])*2;
    }
 
    for(int i=1;i<=k;i++){
        ans+=szcomp[i]*(szcomp[i]-1)*(szcomp[i]-2);
    }
 
    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 dfs(int, int)':
count_triplets.cpp:38:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   38 |     for(int i=0;i<v[x].size();i++){
      |                 ~^~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs2(int, int)':
count_triplets.cpp:53:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |     for(int i=0;i<tree[x].size();i++){
      |                 ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs3(int, int, int, int)':
count_triplets.cpp:69:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |     for(int i=0;i<tree[x].size();i++){
      |                 ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:130:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |         for(int f=0;f<tree[i].size();f++){
      |                     ~^~~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20824 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Incorrect 4 ms 20828 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20824 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Incorrect 4 ms 20828 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 41 ms 32596 KB Output is correct
2 Correct 43 ms 32596 KB Output is correct
3 Correct 58 ms 31156 KB Output is correct
4 Correct 48 ms 31988 KB Output is correct
5 Correct 46 ms 28984 KB Output is correct
6 Correct 50 ms 29836 KB Output is correct
7 Correct 50 ms 29224 KB Output is correct
8 Correct 64 ms 29776 KB Output is correct
9 Correct 66 ms 28240 KB Output is correct
10 Correct 47 ms 28500 KB Output is correct
11 Correct 40 ms 27228 KB Output is correct
12 Correct 42 ms 27228 KB Output is correct
13 Correct 37 ms 27728 KB Output is correct
14 Correct 41 ms 27108 KB Output is correct
15 Correct 35 ms 27292 KB Output is correct
16 Correct 35 ms 26836 KB Output is correct
17 Correct 6 ms 22876 KB Output is correct
18 Correct 8 ms 22876 KB Output is correct
19 Correct 6 ms 22872 KB Output is correct
20 Correct 6 ms 22876 KB Output is correct
21 Correct 6 ms 22872 KB Output is correct
22 Correct 7 ms 23072 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 21084 KB Output is correct
2 Correct 4 ms 21084 KB Output is correct
3 Correct 4 ms 21080 KB Output is correct
4 Correct 4 ms 21084 KB Output is correct
5 Correct 4 ms 21084 KB Output is correct
6 Correct 4 ms 21084 KB Output is correct
7 Correct 4 ms 21084 KB Output is correct
8 Correct 4 ms 21084 KB Output is correct
9 Correct 4 ms 21084 KB Output is correct
10 Correct 5 ms 21084 KB Output is correct
11 Correct 4 ms 21084 KB Output is correct
12 Correct 4 ms 21084 KB Output is correct
13 Correct 4 ms 21084 KB Output is correct
14 Correct 4 ms 21084 KB Output is correct
15 Correct 4 ms 21084 KB Output is correct
16 Correct 4 ms 21084 KB Output is correct
17 Correct 4 ms 21112 KB Output is correct
18 Correct 4 ms 21084 KB Output is correct
19 Correct 4 ms 21084 KB Output is correct
20 Correct 4 ms 21084 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 29980 KB Output is correct
2 Correct 55 ms 30036 KB Output is correct
3 Correct 65 ms 30104 KB Output is correct
4 Correct 56 ms 30032 KB Output is correct
5 Correct 55 ms 30036 KB Output is correct
6 Correct 64 ms 33672 KB Output is correct
7 Correct 60 ms 32496 KB Output is correct
8 Correct 59 ms 31828 KB Output is correct
9 Correct 61 ms 31260 KB Output is correct
10 Correct 53 ms 29980 KB Output is correct
11 Correct 55 ms 30036 KB Output is correct
12 Correct 58 ms 29916 KB Output is correct
13 Correct 55 ms 30124 KB Output is correct
14 Correct 69 ms 29804 KB Output is correct
15 Correct 47 ms 29276 KB Output is correct
16 Correct 33 ms 27860 KB Output is correct
17 Correct 39 ms 30456 KB Output is correct
18 Correct 39 ms 30528 KB Output is correct
19 Correct 44 ms 30916 KB Output is correct
20 Correct 44 ms 30536 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 21084 KB Output is correct
2 Correct 4 ms 21084 KB Output is correct
3 Incorrect 4 ms 21084 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 30036 KB Output is correct
2 Correct 58 ms 29788 KB Output is correct
3 Incorrect 55 ms 28644 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20824 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Incorrect 4 ms 20828 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20824 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Incorrect 4 ms 20828 KB Output isn't correct
8 Halted 0 ms 0 KB -