#include <bits/stdc++.h>
#define ll long long
#define F first
#define S second
#define pb push_back
#define B break
#define C continue
#define R return
#define mid ((l+r)/2)
#define left (2*idx)
#define right (2*idx+1)
using namespace std;
const ll Mod=1e9+7 , N = 500500 , inf=1e18;
ll n , m , k , q , x , y , z , a[N] , vis[N] , special[N] , done[N] , ans[N] , sum=0 , mn=inf , mx=0 ;
ll par[N],sz[N];
ll get_par(ll x){
if(x==par[x])return x;
R par[x]=get_par(par[x]);
}
void mrg(ll x , ll y){
x=get_par(x),y=get_par(y);
if(x==y)R;
if(sz[x]<sz[y])swap(x,y);
sz[x]+=sz[y] , par[y]=x , special[x] |= special[y];
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m ;
for(int i=1 ; i<=m ; i++){
sz[i]=1;
par[i]=i;
special[i]=0;
}
vector<pair<ll,pair<ll,ll>>>v;
for(int i=1 ; i<=n ; i++){
cin >> k ;
if(k==1){
cin >> x;
ll parent = get_par(x);
if(!special[parent]){
ans[i]=1;
}
special[parent]=1;
}
else{
cin >> x >> y ;
ll parx = get_par(x);
ll pary = get_par(y);
if(parx==pary)C;
if(!special[parx] || !special[pary]){
ans[i]=1;
}
mrg(x,y);
}
}
ll res=0,res2=1;
for(int i=1 ; i<=n ; i++){
if(ans[i])res++;
}
for(int i=1 ; i<=res ; i++){
res2 = (res2+res2)%Mod;
}
cout << res2 << " " << res << '\n';
for(int i=1 ; i<=n ; i++){
if(ans[i])cout << i << " ";
}
cout << endl ;
return 0;
}
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