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stronglyconnectedcomponent.cpp
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#include<bits/stdc++.h>
using namespace std;
using Int = long long;
//BEGIN CUT HERE
struct SCC{
int n;
vector<vector<int> > G,rG,T,C;
vector<int> vs,used,belong;
SCC(){}
SCC(int sz):n(sz),G(sz),rG(sz),used(sz),belong(sz){}
void add_edge(int from,int to){
G[from].push_back(to);
rG[to].push_back(from);
}
void input(int m,int offset=0){
int a,b;
for(int i=0;i<m;i++){
cin>>a>>b;
add_edge(a+offset,b+offset);
}
}
void dfs(int v){
used[v]=1;
for(int i=0;i<(int)G[v].size();i++){
if(!used[G[v][i]]) dfs(G[v][i]);
}
vs.push_back(v);
}
void rdfs(int v,int k){
used[v]=1;
belong[v]=k;
C[k].push_back(v);
for(int i=0;i<(int)rG[v].size();i++){
if(!used[rG[v][i]]) rdfs(rG[v][i],k);
}
}
int build(){
fill(used.begin(),used.end(),0);
vs.clear();
for(int v=0;v<n;v++){
if(!used[v]) dfs(v);
}
fill(used.begin(),used.end(),0);
int k=0;
for(int i=vs.size()-1;i>=0;i--){
if(!used[vs[i]]){
T.push_back(vector<int>());
C.push_back(vector<int>());
rdfs(vs[i],k++);
}
}
for(int i=0;i<n;i++)
for(int u:G[i])
if(belong[i]!=belong[u])
T[belong[i]].push_back(belong[u]);
for(int i=0;i<k;i++){
sort(T[i].begin(),T[i].end());
T[i].erase(unique(T[i].begin(),T[i].end()),T[i].end());
}
return k;
}
};
//END CUT HERE
signed main(){
cin.tie(0);
ios::sync_with_stdio(0);
int n,m;
cin>>n>>m;
vector<vector<int> > G(n);
for(int i=0;i<n;i++){
int k;
cin>>k;
G[i].resize(k);
for(int j=0;j<k;j++){
cin>>G[i][j];
G[i][j]--;
}
}
SCC scc(m*2);
auto add_edge=[&](vector<int> &a,vector<int> &b){
int x=min(a.size(),b.size());
int i;
for(i=0;i<x;i++){
if(a[i]==b[i]) continue;
if(a[i]<b[i]){
scc.add_edge(m+b[i],m+a[i]);
scc.add_edge(a[i],b[i]);
}else{
scc.add_edge(a[i],m+a[i]);
scc.add_edge(m+b[i],b[i]);
}
break;
}
if(i==x){
if(a.size()>b.size()){
cout<<"No"<<endl;
exit(0);
}
}
};
for(int i=0;i<n-1;i++)
add_edge(G[i],G[i+1]);
scc.build();
auto belong=scc.belong;
for(int i=0;i<m;i++){
//cout<<belong[i]<<" "<<belong[m+i]<<endl;
if(belong[i]==belong[m+i]){
cout<<"No"<<endl;
return 0;
}
}
cout<<"Yes"<<endl;
vector<int> ans;
for(int i=0;i<m;i++)
if(belong[i]<belong[m+i]) ans.push_back(i);
cout<<ans.size()<<endl;
for(int i=0;i<(int)ans.size();i++){
if(i) cout<<" ";
cout<<ans[i]+1;
}
cout<<endl;
return 0;
}
/*
verified 2017/10/29
http://codeforces.com/contest/875/problem/C
*/