#include <bits/stdc++.h>
using namespace std;
ifstream fin("dfs.in");
ofstream fout("dfs.out");
class graf {
private:
int n, m;
vector<int> h[100003];
bitset<100003> viz;
int k, dist[100003], nivel[100003], mic[100003];
bool orientat = false;
vector<int> transpus[100003];
vector<int> ctc[100003];
queue< pair<int, int> >q;
stack<int> s;
stack<int> s_biconex;
vector<int> cbiconexe[100003];
vector< vector<int> > muchii;
void dfs(int nod);
void dfsctc(int nod);
void bfs(int s);
void dfs_biconex(int nod, int tata);
//void muchii_critice(int nod, int tata, vector< vector<int> >& h2);
public:
graf()
{
n = m = k = 0;
for(int i = 1; i <= 100000; i++)
dist[i] = -1;
}
void set_graf(int noduri, int muchii, bool Orientat);
void adauga_muchie(int x, int y);
void componente_conexe();
void distante(int s);
void sortare_topologica();
void componente_tare_conexe();
void componente_biconexe();
static void havel_hakimi();
//static vector<vector<int>> criticalConnections(int n, vector<vector<int>>& connections);
};
graf g;
int main()
{
/// dfs
int n, m, x, y;
fin >> n >> m;
g.set_graf(n, m, false);
for(int i = 1; i <= m; i++)
{
fin >> x >> y;
g.adauga_muchie(x,y);
}
g.componente_conexe();
/// bfs
/*int n, m, s, x, y;
fin >> n >> m >> s;
g.set_graf(n, m, true);
for(int i = 1; i <= m; i++)
{
fin >> x >> y;
g.adauga_muchie(x,y);
}
g.distante(s);*/
/// biconex
/*int n, m, x, y;
fin >> n >> m;
g.set_graf(n, m, false);
for(int i = 1; i <= m; i++)
{
fin >> x >> y;
g.adauga_muchie(x,y);
}
g.componente_biconexe();*/
/// ctc
/*int n, m, x, y;
fin >> n >> m;
g.set_graf(n, m, true);
for(int i = 1; i <= m; i++)
{
fin >> x >> y;
g.adauga_muchie(x,y);
}
g.componente_tare_conexe();*/
/// sortare topologica
/*int n, m, s, x, y;
fin >> n >> m;
g.set_graf(n, m, true);
for(int i = 1; i <= m; i++)
{
fin >> x >> y;
g.adauga_muchie(x,y);
}
g.sortare_topologica();*/
/// havel hakimi
//graf::havel_hakimi();
/// muchii critice [[0,1],[1,2],[2,0],[1,3]]
//graf::criticalConnections(..);
fin.close();
fout.close();
return 0;
}
void graf :: set_graf(int noduri, int muchii, bool Orientat)
{
n = noduri;
m = muchii;
orientat = Orientat;
}
void graf :: adauga_muchie(int x, int y)
{
if(orientat)
{
h[x].push_back(y);
transpus[y].push_back(x); // ctc
}
else
{
h[x].push_back(y);
h[y].push_back(x);
}
}
void graf :: dfs(int nod)
{
viz[nod] = 1;
for(auto i : h[nod])
if(!viz[i])
dfs(i);
// pentru sortarea topologica si ctc
s.push(nod);
}
void graf :: dfsctc(int nod)
{
viz[nod] = 1;
ctc[k].push_back(nod);
for(auto i : transpus[nod])
if(!viz[i])
dfsctc(i);
}
void graf :: bfs(int s)
{
pair<int, int> nod;
q.push({s, 0});
viz[s] = 1;
dist[s] = 0;
while(!q.empty())
{
nod = q.front();
dist[nod.first] = nod.second;
q.pop();
for(auto i : h[nod.first])
if(!viz[i])
{
q.push({i, nod.second + 1});
viz[i] = 1;
}
}
}
void graf :: componente_conexe()
{
int nrc;
nrc = 0;
for(int i = 1; i <= n; i++)
if(!viz[i])
{
dfs(i);
nrc++;
}
fout << nrc << "\n";
}
void graf :: distante(int s)
{
bfs(s);
for(int i = 1; i <= n; i++)
fout << dist[i] << " ";
fout << "\n";
}
void graf :: sortare_topologica()
{
for(int i = 1; i <= n; i++)
if(!viz[i])
dfs(i);
while(!s.empty())
{
fout << s.top() << " ";
s.pop();
}
fout << "\n";
}
void graf :: componente_tare_conexe() // kosaraju
{
int top;
for(int i = 1; i <= n; i++)
if(!viz[i])
dfs(i);
viz.reset();
while(!s.empty())
{
top = s.top();
s.pop();
if(!viz[top])
{
k++;
dfsctc(top);
}
}
fout << k << "\n";
for(int i = 1; i <= k; i++)
{
for(auto j : ctc[i])
fout << j << " ";
fout<<"\n";
}
}
void graf :: dfs_biconex(int nod, int tata)
{
viz[nod] = 1;
s_biconex.push(nod);
mic[nod] = nivel[nod] = nivel[tata] + 1;
for(auto i : h[nod])
{
if(i != tata)
{
if(viz[i])
mic[nod] = min(mic[nod], nivel[i]);
else
{
dfs_biconex(i, nod);
mic[nod] = min(mic[nod], mic[i]);
if(nivel[nod] <= mic[i]) // o noua componenta biconexa
{
k++;
while(s_biconex.top() != i)
{
cbiconexe[k].push_back(s_biconex.top());
s_biconex.pop();
}
s_biconex.pop();
cbiconexe[k].push_back(i);
cbiconexe[k].push_back(nod);
}
}
}
}
}
void graf :: componente_biconexe()
{
nivel[0] = 0;
dfs_biconex(1, 0);
fout << k << "\n";
for(int i = 1; i <= k; i++)
{
for(auto j : cbiconexe[i])
fout << j << " ";
fout<<"\n";
}
}
void graf :: havel_hakimi()
{
int lg, x, suma = 0;
vector<int>v;
fin >> lg;
for(int i = 1; i <= lg; i++)
{
fin >> x;
v.push_back(x);
suma += x;
}
if(suma % 2 == 1)
{
fout << "Nu\n";
return;
}
while(true)
{
if(v.size() == 0)
{
fout << "Da\n";
return;
}
sort(v.begin(), v.end(), greater<int>());
x = v[0];
if((int)v.size() - 1 < x)
{
fout << "Nu\n";
return;
}
for(int i = 1; i < x + 1; i++)
{
v[i]--;
v[i - 1]= v[i];
if(v[i] < 0)
{
fout << "Nu\n";
return;
}
}
v.pop_back();
}
}
/*void graf :: muchii_critice(int nod, int tata, vector< vector<int> >& h2)
{
viz[nod] = 1;
mic[nod] = nivel[nod] = nivel[tata] + 1;
for(int i = 0; i < h2[nod].size(); i++)
{
int vecin = h2[nod][i];
if(!viz[vecin])
{
muchii_critice(vecin, nod, h2);
mic[nod] = min(mic[nod], mic[vecin]);
if(nivel[nod] < mic[vecin])
{
vector<int> muchie = {nod, vecin};
muchii.push_back(vector<int>{nod, vecin});
}
}
else if(vecin != tata)
{
mic[nod] = min(mic[nod], nivel[vecin]);
}
}
}
vector<vector<int>> graf :: criticalConnections(int n, vector<vector<int>>& connections)
{
vector< vector<int> > h2(100003);
for(int i = 0; i < connections.size(); i++)
{
h2[connections[i][0]].push_back(connections[i][1]);
h2[connections[i][1]].push_back(connections[i][0]);
}
muchii_critice(1, 0, h2);
return muchii;
}*/