#include <bits/stdc++.h>
using namespace std;
using lint = long long;
const lint mod = 1e9 + 7;
#define all(x) (x).begin(), (x).end()
#define bitcount(n) __builtin_popcountl((lint)(n))
#define fcout cout << fixed << setprecision(15)
#define highest(x) (63 - __builtin_clzl(x))
#define rep(i, n) for(int i = 0; i < n; i++)
const int inf9 = 1e9; const lint inf18 = 1e18;
template<class T> inline void YES(T condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; }
template<class T> inline void Yes(T condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; }
template<class T = string, class U = char>int character_count(T text, U character){ int ans = 0; for(U i: text){ ans += (i == character); } return ans; }
lint power(lint base, lint exponent, lint module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ lint root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }}
struct position{ int y, x; }; position mv[4] = {{0, -1}, {1, 0}, {0, 1}, {-1, 0}}; // double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); }
template<class T, class U> string to_string(pair<T, U> x){ return to_string(x.first) + "," + to_string(x.second); } string to_string(string x){ return x; }
template<class itr> void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++) ans += to_string(*i) + " "; if(!ans.empty()) ans.pop_back(); cout << ans << endl; }
template<class itr> void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } }
template<class T> T gcd(T a, T b){ if(a && b){ return gcd(min(a, b), max(a, b) % min(a, b)); }else{ return a; }} template<class T> T lcm(T a, T b){ return a / gcd(a, b) * b; }
struct combination{ vector<lint> fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } lint P(int n, int r){ if(r < 0 || n < r) return 0; return (fact[n] * inv[n - r] % mod); } lint C(int p, int q){ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } };
template<class itr> bool next_sequence(itr first, itr last, int max_bound){ itr now = last; while(now != first){ now--; (*now)++; if((*now) == max_bound){ (*now) = 0; }else{ return true; } } return false; }
template<class itr, class itr2> bool next_sequence2(itr first, itr last, itr2 first2, itr2 last2){ itr now = last; itr2 now2 = last2; while(now != first){ now--, now2--; (*now)++; if((*now) == (*now2)){ (*now) = 0; }else{ return true; } } return false; }
inline int at(lint i, int j){ return (i >> j) & 1; }

lint power_2[int(1e6)];

int N;
vector<vector<int>> roads;
vector<vector<int>> child;
vector<int> size;

void dfs(int now, int back){
    size[now] = 1;
    for(int i: roads[now]){
        if(i == back){
            continue;
        }
        dfs(i, now);
        size[now] += size[i];
        child[now].push_back(i);
    }
}

int main(){
    power_2[0] = 1;
    for(int i = 1; i < int(1e6); i++){
        power_2[i] = power_2[i - 1] * 2 % mod;
    }
    cin >> N;
    roads.resize(N);
    for(int i = 0; i < N - 1; i++){
        int A, B;
        cin >> A >> B;
        A--, B--;
        roads[A].push_back(B);
        roads[B].push_back(A);
    }
    child.resize(N);
    size.resize(N);
    dfs(0, -1);
    lint ans = 0;
    for(int i = 0; i < N; i++){
        vector<int> neighbor;
        int another = N - 1;
        for(int j: child[i]){
            neighbor.push_back(size[j]);
            another -= size[j];
        }
        if(another){
            neighbor.push_back(another);
        }
        //array_output(all(neighbor));
        lint rev = 1;
        for(int j: neighbor){
            rev = (rev + power_2[j] - 1 + mod) % mod;
        }
        ans = (ans + power_2[N - 1] - rev + mod) % mod;
    }
    cout << ans * power(power_2[N], mod - 2, mod) % mod << endl;
}



Measured memory_bytes: 41216