oj.uz

Submission #1087866

# Submission time Handle Problem Language Result Execution time Memory
1087866 2024-09-13T10:36:00 Z alexander707070 Duathlon (APIO18_duathlon) C++14
66 / 100
 74 ms 27988 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;

    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)continue;

                if(check(i,f,t))res++;
            }
        }
    }

    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:82:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |         for(int i=0;i<v[curr].size();i++){
      |                     ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:180:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  180 |         for(int f=0;f<v[i].size();f++){
      |                     ~^~~~~~~~~~~~

Subtask #1
0 / 5.0

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

Subtask #2
0 / 11.0

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

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 25312 KB Output is correct
2 Correct 47 ms 25272 KB Output is correct
3 Correct 57 ms 24404 KB Output is correct
4 Correct 55 ms 24912 KB Output is correct
5 Correct 53 ms 22096 KB Output is correct
6 Correct 55 ms 23636 KB Output is correct
7 Correct 57 ms 22868 KB Output is correct
8 Correct 57 ms 23392 KB Output is correct
9 Correct 55 ms 22016 KB Output is correct
10 Correct 53 ms 22096 KB Output is correct
11 Correct 45 ms 20624 KB Output is correct
12 Correct 42 ms 20572 KB Output is correct
13 Correct 39 ms 20560 KB Output is correct
14 Correct 39 ms 20312 KB Output is correct
15 Correct 33 ms 20112 KB Output is correct
16 Correct 32 ms 19852 KB Output is correct
17 Correct 8 ms 14680 KB Output is correct
18 Correct 8 ms 14684 KB Output is correct
19 Correct 8 ms 14684 KB Output is correct
20 Correct 10 ms 14684 KB Output is correct
21 Correct 8 ms 14704 KB Output is correct
22 Correct 7 ms 14684 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 5 ms 9920 KB Output is correct
3 Correct 5 ms 9872 KB Output is correct
4 Correct 5 ms 10076 KB Output is correct
5 Correct 4 ms 10076 KB Output is correct
6 Correct 4 ms 10076 KB Output is correct
7 Correct 4 ms 10076 KB Output is correct
8 Correct 4 ms 10076 KB Output is correct
9 Correct 4 ms 10076 KB Output is correct
10 Correct 5 ms 9820 KB Output is correct
11 Correct 6 ms 9884 KB Output is correct
12 Correct 5 ms 10076 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 5 ms 9820 KB Output is correct
16 Correct 4 ms 9816 KB Output is correct
17 Correct 5 ms 10076 KB Output is correct
18 Correct 4 ms 10076 KB Output is correct
19 Correct 5 ms 9900 KB Output is correct
20 Correct 5 ms 10076 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 24404 KB Output is correct
2 Correct 58 ms 24400 KB Output is correct
3 Correct 59 ms 24400 KB Output is correct
4 Correct 56 ms 24416 KB Output is correct
5 Correct 59 ms 24404 KB Output is correct
6 Correct 65 ms 27988 KB Output is correct
7 Correct 63 ms 27016 KB Output is correct
8 Correct 74 ms 26352 KB Output is correct
9 Correct 68 ms 25464 KB Output is correct
10 Correct 59 ms 24412 KB Output is correct
11 Correct 59 ms 24468 KB Output is correct
12 Correct 58 ms 24576 KB Output is correct
13 Correct 65 ms 24548 KB Output is correct
14 Correct 53 ms 23900 KB Output is correct
15 Correct 46 ms 23124 KB Output is correct
16 Correct 35 ms 20888 KB Output is correct
17 Correct 40 ms 25024 KB Output is correct
18 Correct 41 ms 25036 KB Output is correct
19 Correct 45 ms 25296 KB Output is correct
20 Correct 46 ms 24896 KB Output is correct

Subtask #6
15.0 / 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 Correct 5 ms 10048 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 6 ms 9996 KB Output is correct
6 Correct 4 ms 9816 KB Output is correct
7 Correct 5 ms 9820 KB Output is correct
8 Correct 4 ms 9820 KB Output is correct
9 Correct 4 ms 10008 KB Output is correct
10 Correct 4 ms 9888 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 4 ms 10076 KB Output is correct
13 Correct 4 ms 9972 KB Output is correct
14 Correct 6 ms 9816 KB Output is correct
15 Correct 5 ms 9820 KB Output is correct
16 Correct 4 ms 9816 KB Output is correct
17 Correct 4 ms 9820 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
19 Correct 4 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 4 ms 9820 KB Output is correct
23 Correct 4 ms 9820 KB Output is correct
24 Correct 4 ms 9820 KB Output is correct
25 Correct 5 ms 9808 KB Output is correct
26 Correct 4 ms 9820 KB Output is correct
27 Correct 4 ms 9780 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 24404 KB Output is correct
2 Correct 63 ms 24316 KB Output is correct
3 Correct 72 ms 22868 KB Output is correct
4 Correct 53 ms 21328 KB Output is correct
5 Correct 48 ms 19740 KB Output is correct
6 Correct 45 ms 19024 KB Output is correct
7 Correct 48 ms 18516 KB Output is correct
8 Correct 42 ms 18264 KB Output is correct
9 Correct 38 ms 18000 KB Output is correct
10 Correct 43 ms 18004 KB Output is correct
11 Correct 40 ms 17752 KB Output is correct
12 Correct 41 ms 17760 KB Output is correct
13 Correct 41 ms 17908 KB Output is correct
14 Correct 40 ms 19540 KB Output is correct
15 Correct 66 ms 26004 KB Output is correct
16 Correct 70 ms 24916 KB Output is correct
17 Correct 62 ms 24912 KB Output is correct
18 Correct 63 ms 23888 KB Output is correct
19 Correct 58 ms 21328 KB Output is correct
20 Correct 53 ms 21172 KB Output is correct
21 Correct 54 ms 21180 KB Output is correct
22 Correct 48 ms 20564 KB Output is correct
23 Correct 53 ms 19796 KB Output is correct
24 Correct 50 ms 23116 KB Output is correct
25 Correct 69 ms 23260 KB Output is correct
26 Correct 48 ms 21972 KB Output is correct
27 Correct 52 ms 22096 KB Output is correct

Subtask #8
0 / 8.0

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

Subtask #9
0 / 10.0

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