#include <bits/stdc++.h>
#define LLI long long int
#define FOR(v, a, b) for(LLI v = (a); v < (b); ++v)
#define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(LLI v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define fst first
#define snd second
#define popcount __builtin_popcount
#define UNIQ(v) (v).erase(unique(ALL(v)), (v).end())
#define bit(i) (1LL<<(i))

#ifdef DEBUG
#include <misc/C++/Debug.cpp>
#else
#define dump(...) ((void)0)
#endif

#define gcd __gcd

using namespace std;
template <class T> constexpr T lcm(T m, T n){return m/gcd(m,n)*n;}

template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}
template <typename T, typename U> bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);}
template <typename T, typename U> bool chmax(T &a, const U &b){return (a<b ? a=b, true : false);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}

struct Init{
  Init(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(12);
  }
}init;



template <std::uint32_t M> class ModInt{
public:
  std::uint64_t val;
  ModInt(): val(0){}
  ModInt(std::int64_t n){
    if(n >= M) val = n % M;
    else if(n < 0) val = n % M + M;
    else val = n;
  }
  
  inline constexpr ModInt operator+(const ModInt &a) const {return ModInt((val+a.val) % M);}
  inline constexpr ModInt operator-(const ModInt &a) const {return ModInt((val-a.val+M) % M);}
  inline constexpr ModInt operator*(const ModInt &a) const {return ModInt((val*a.val) % M);}
  inline constexpr ModInt operator/(const ModInt &a) const {return ModInt((val*a.inv().val) % M);}
  
  inline constexpr ModInt& operator=(const ModInt &a){val = a.val; return *this;}
  inline constexpr ModInt& operator+=(const ModInt &a){if((val += a.val) >= M) val -= M; return *this;}
  inline constexpr ModInt& operator-=(const ModInt &a){if(val < a.val) val += M; val -= a.val; return *this;}
  inline constexpr ModInt& operator*=(const ModInt &a){(val *= a.val) %= M; return *this;}
  inline constexpr ModInt& operator/=(const ModInt &a){(val *= a.inv().val) %= M; return *this;}

  inline constexpr bool operator==(const ModInt &a) const {return val == a.val;}
  inline constexpr bool operator!=(const ModInt &a) const {return val != a.val;}

  inline constexpr ModInt& operator++(){*this += 1; return *this;}
  inline constexpr ModInt& operator--(){*this -= 1; return *this;}

  inline constexpr ModInt operator++(int){ModInt t = *this; *this += 1; return t;}
  inline constexpr ModInt operator--(int){ModInt t = *this; *this -= 1; return t;}

  inline constexpr static ModInt frac(std::int64_t a, std::int64_t b){
    return ModInt(a) / ModInt(b);
  }
  
  inline constexpr static ModInt power(std::int64_t n, std::int64_t p){
    ModInt ret = 1, e = n;
    for(; p; e *= e, p >>= 1) if(p&1) ret *= e;
    return ret;
  }

  inline constexpr ModInt power(std::int64_t p) const {return power(val,p);}
  
  inline constexpr ModInt inv() const {
    std::int64_t a = val, b = M, u = 1, v = 0;
    
    while(b){
      std::int64_t t = a/b;
      a -= t*b; std::swap(a,b);
      u -= t*v; std::swap(u,v);
    }
    u %= M;
    if(u < 0) u += M;
    
    return u;
  }
};

template <std::uint32_t M> ModInt<M> operator-(const ModInt<M> &a){return M-a.val;}

template <std::uint32_t M> ModInt<M> operator+(std::int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)+b.val);}
template <std::uint32_t M> ModInt<M> operator-(std::int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)-b.val);}
template <std::uint32_t M> ModInt<M> operator*(std::int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)*b.val);}
template <std::uint32_t M> ModInt<M> operator/(std::int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)/b.val);}

template <std::uint32_t M> std::istream& operator>>(std::istream &is, ModInt<M> &a){is >> a.val; return is;}
template <std::uint32_t M> std::ostream& operator<<(std::ostream &os, const ModInt<M> &a){ os << a.val; return os;}



template <typename Cost = int> class Edge{
public:
  int from,to;
  Cost cost;
  Edge() {}
  Edge(int to, Cost cost): to(to), cost(cost){}
  Edge(int from, int to, Cost cost): from(from), to(to), cost(cost){}

  Edge rev() const {return Edge(to,from,cost);}
  
  friend std::ostream& operator<<(std::ostream &os, const Edge &e){
    os << "(FROM: " << e.from << "," << "TO: " << e.to << "," << "COST: " << e.cost << ")";
    return os;
  }
};

template <typename T> using Graph = std::vector<std::vector<Edge<T>>>;
template <typename T> using Tree = std::vector<std::vector<Edge<T>>>;

template <typename C, typename T> void add_edge(C &g, int from, int to, T w){
  g[from].push_back(Edge<T>(from, to, w));  
}

template <typename C, typename T> void add_undirected(C &g, int a, int b, T w){
  g[a].push_back(Edge<T>(a, b, w));
  g[b].push_back(Edge<T>(b, a, w));
}


template <typename F>
struct FixPoint : F{
  explicit constexpr FixPoint(F &&f) noexcept : F(std::forward<F>(f)){}

  template <typename... Args>
  constexpr decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
static inline constexpr decltype(auto) make_fix_point(F &&f){
  return FixPoint<F>(std::forward<F>(f));
}



using mint = ModInt<1000000007>;




int main(){
  int N;
  while(cin >> N){
    Tree<int> tree(N);
    REP(i,N-1){
      int a,b; cin >> a >> b;
      --a, --b;
      add_undirected(tree, a, b, 1);
    }

    mint ans = 0;

    vector<int> sub(N);

    auto dfs =
      make_fix_point([&](auto &&f, int cur, int par) -> int{
                       sub[cur] = 1;

                       for(auto &e : tree[cur]){
                         if(e.to == par) continue;
                         sub[cur] += f(e.to, cur);
                       }

                       vector<int> a;
                       for(auto &e : tree[cur]){
                         if(e.to == par) continue;
                         a.push_back(sub[e.to]);
                       }

                       a.push_back(N - sub[cur]);

                       mint t = 0;
                       t += 1;

                       t -= mint::frac(1, 2).power(N-1);

                       for(auto x : a){
                         t -= (1 - mint::frac(1, 2).power(x)) * mint::frac(1, 2).power(N-1-x);
                       }

                       t /= 2;

                       ans += t;

                       return sub[cur];
                     });

    dfs(0, -1);

    cout << ans << endl;
  }

  return 0;
}


Measured memory_bytes: 32640