//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
#define rep(i, n) for(int i=0; i<n; ++i)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
using namespace std;
using ll = int64_t;
using ld = long double;
using P = pair<int, int>;
using vs = vector<string>;
using vi = vector<int>;
using vvi = vector<vi>;
template<class T> using PQ = priority_queue<T>;
template<class T> using PQG = priority_queue<T, vector<T>, greater<T> >;
const int INF = 0xccccccc;
const ll LINF = 0xcccccccccccccccLL;
template<typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);}
template<typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);}
template<typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) { return is >> p.first >> p.second;}
template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) { return os << p.first << ' ' << p.second;}

const unsigned int mod = 1000000007;
//const unsigned int mod = 998244353;

struct mint {
  unsigned int x;
  mint():x(0) {}
  mint(int64_t x_) {
    int64_t v = int64_t(x_ % mod);
    if(v < 0) v += mod;
    x = (unsigned int)v;
  }
  static mint row(int v) {
    mint v_;
    v_.x = v;
    return v_;
  }
  mint operator-() const { return mint(-x);}
  mint& operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator-=(const mint a) {
    if ((x += mod-a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator*=(const mint a) {
    uint64_t z = x;
    z *= a.x;
    x = (unsigned int)(z % mod);
    return *this;
  }
  mint operator+(const mint a) const { return mint(*this) += a;}
  mint operator-(const mint a) const { return mint(*this) -= a;}
  mint operator*(const mint a) const { return mint(*this) *= a;}
  friend bool operator==(const mint &a, const mint &b) {return a.x == b.x;}
  friend bool operator!=(const mint &a, const mint &b) {return a.x != b.x;}
  mint &operator++() {
    x++;
    if(x == mod) x = 0;
    return *this;
  }
  mint &operator--() {
    if(x == 0) x = mod;
    x--;
    return *this;
  }
  mint operator++(int) {
    mint result = *this;
    ++*this;
    return result;
  }
  mint operator--(int) {
    mint result = *this;
    --*this;
    return result;
  }
  mint pow(int64_t t) const {
    mint x_ = *this, r = 1;
    while(t) {
      if(t&1) r *= x_;
      x_ *= x_;
      t >>= 1;
    }
    return r;
  }
  //for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return *this *= a.inv();}
  mint operator/(const mint a) {return mint(*this) /= a;}
};

istream& operator>>(istream& is, mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}

#define N 200100

//head

int n;
vi G[N];
vi sum[N];
mint pows[N];
mint ans;

int dfs(int i=0, int j=-90) {
  sum[i].resize(G[i].size());
  int res = 0;
  int ud = -1;
  rep(id, G[i].size()) {
    int ne = G[i][id];
    if(ne == j) {
      ud = id;
      continue;
    }
    sum[i][id] = dfs(ne, i);
    res += sum[i][id];
  }
  res++;
  if(ud != -1) sum[i][ud] = n-res;
  ans += pows[n-1] + G[i].size()-1;
  rep(id, G[i].size()) {
    ans -= pows[sum[i][id]];
  }
  return res;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  pows[0] = 1;
  rep(i, N-1) pows[i+1] = pows[i] * 2;
  cin >> n;
  rep(i, n-1) {
    int a, b;
    cin >> a >> b;
    a--; b--;
    G[a].emplace_back(b);
    G[b].emplace_back(a);
  }
  dfs();
  cout << ans/pows[n] << endl;
}

Measured memory_bytes: 37348