#include <bits/stdc++.h>
//qwerty47924692
using namespace std;
using ll = long long;
const ll N=2e5+29;
const string br="617283";
#define sz(a)(ll)a.size()
#define f first
#define s second
ll n,num[N];
vector<pair<ll,ll>>g[N];
void dfs(ll v,ll pr=0,ll x=0){
num[v]=x;
for(auto [to,i]:g[v]){
if(to==pr)continue;
dfs(to,v,x^(1ll<<(i-1)));
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n;
for(ll i=1;i<=n;i++){
ll v,u;
cin>>v>>u;
g[v].push_back({u,i});
g[u].push_back({v,i});
}dfs(0);
cout<<(1ll<<(n-1))<<'\n';
for(ll i=0;i<=(1ll<<n)-1;i++){
if(__builtin_popcountll(i)&1)continue;
for(ll j=0;j<=n;j++)cout<<(num[j]^i)<<' ';
cout<<'\n';
}
}
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