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#include<bits/stdc++.h>
using namespace std;
#define all(v) ((v).begin()),((v).end())
#define sz(v) (v.size())
#define yes cout<<"Yes"<<'\n';
#define no cout<<"No"<<'\n';
#define endl '\n';
#define f(i,j,k) for(long long i=j;i<k;i++)
#define fb(i,j,k) for(long long i=j;i>=k;i--)
#define fs(i,j,k,p) for(long long i=j;i<k;i+=p)
#define fbs(i,j,k,p) for(long long i=j;i>=k;i-=p)
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define ff first
#define ss second
#define pi 3.141592653589793238462
typedef long long ll;
typedef unsigned long long ull;
typedef long double lld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<vector<int>> vvi;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pp ;
typedef vector<ll> vll;
#define int long long
const int mod=1e9+7;
long long pow(long long a, long long b, long long m) {
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
vector<int>leaf(3e5,0);
void dfs(int node,int p,vector<vector<int>>&adj,vector<int>&depth,vector<int>&sz)
{
depth[node]=depth[p]+1;
sz[node]=1;
int x=1;
for(auto u:adj[node])
{
if (u==p)continue;
x=0;
dfs(u,node,adj,depth,sz);
sz[node]+=sz[u];
}
leaf[node]=x;
}
void solve()
{
int n;
cin>>n;
vector<vector<int>>adj(n+1);
for(int i=1;i<=n-1;++i)
{
int u,v;
cin>>u>>v;
adj[u].push_back(v);
adj[v].push_back(u);
}
if (n==1)
{
cout<<0<<endl;
return;
}
for (int i=0;i<=n;++i)leaf[i]=0;
vector<int>depth(n+1,0);
vector<int>se(n+1,0);
dfs(1,1,adj,depth,se);
int tot=0;
ll y=0;
for (int i=1;i<=n;++i)
{
if (leaf[i])
{
tot+=pow(2,depth[i]-2,mod);
tot%=mod;
y+=(((depth[i]-2)*pow(2,depth[i]-3,mod))%mod+(pow(2,depth[i]-2,mod))%mod)%mod;
y%=mod;
}
}
cout<<(y*pow(tot,mod-2,mod))%mod<<endl;
}
signed main() {
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
// freopen("jumper.in","r",stdin);
int t;
t=1;
cin>>t;
while(t--)
{
solve();
}
}Editor is loading...
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