#include <bits/stdc++.h>
#define rep(i,n) for (int i = (0); i < (n); ++i)
#define rrep(i,n) for(int i = 1; i <= (n); ++i)
#define drep(i,n) for(int i = (n)-1; i >= 0; --i)
#define srep(i,s,t) for (int i = s; i < t; ++i)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define limit(x,l,r) max(l,min(x,r))
#define lims(x,l,r) (x = max(l,min(x,r)))
#define isin(x,l,r) ((l) <= (x) && (x) < (r))
#define show(x) cout << #x << " = " << (x) << endl
#define show2(x,y) cout << #x << " = " << (x) << ", " << #y << " = " << (y) << endl
#define show3(x,y,z) cout << #x << " = " << (x) << ", " << #y << " = " << (y) <<  ", " << #z << " = " << (z) << endl
#define showv(v) rep(i,v.size()) printf("%d%c", v[i], i==v.size()-1?'\n':' ')
#define showv2(v) rep(j,v.size()) showv(v[j])
#define showt(t,n) rep(i,n) printf("%d%c", t[i], i==n-1?'\n':' ')
#define showt2(t,r,c) rep(j,r) showt(t[j],c)
#define showvp(p) rep(i,p.size()) printf("%d %d\n", p[i].first, p[i].second);
#define printv(v) rep(i,v.size()) printf("%d\n", v[i])
#define printt(t,n) rep(i,n) printf("%d\n", t[i])
#define incl(v,x) find(rng(v),x)!=v.end()
#define incls(s,c) s.find(c)!=string::npos
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcountll
#define bit(n,k) ((n>>k)&1) // nのk bit目
#define bn(x) ((1<<x)-1)
#define dup(x,y) (((x)+(y)-1)/(y))
#define newline puts("")
#define uni(x) x.erase(unique(rng(x)),x.end())
#define SP << " " <<
#define v(T) vector<T>
#define vv(T) v(v(T))
using namespace std;
using ll = long long;
using ld = long double;
using vi = vector<int>;
using vvi = vector<vi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vs = vector<string>;
using P = pair<int, int>;
using T = tuple<int, int, int>;
using vp = vector<P>;
using vt = vector<T>;
const int mod = 1000000007;
const double EPS = 1e-9;
//const long double EPS = 1e-14;
const int INF = (1<<30)-1;
const ll LINF = (1LL<<62)-1;
#define dame { puts("No"); return 0;}
#define yn {puts("Yes");}else{puts("No");}
inline int in() { int x; scanf("%d",&x); return x;}
inline ll lin() { ll x; scanf("%lld",&x); return x;}
inline char chin() { char x; scanf("%c",&x); return x;}
inline string stin() { string x; cin >> x; return x;}
inline double din() { double x; scanf("%lf",&x); return x;}
//template<class T = int> inline T in() { T x; cin >> x; return (x);}
template<typename T>inline ll suma(const v(T)& a) { ll res(0); for (auto&& x : a) res += x; return res;}
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
char itoa(int n) { return n + '0';}
ll gcd(ll a, ll b) { return b ? gcd(b,a%b) : a;}
ll lcm(ll a, ll b) { return a/gcd(a,b)*b;}

//const int mod = 1000000007;
// mint(a).pow(b) -> a^b
struct mint {
  ll x;
  mint(ll x=0):x(x%mod){}
  mint operator-() const { return mint(-x);}
  mint operator~() const { return mint(1) / *this;}
  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) { (x *= a.x) %= mod; return *this;}
  mint operator+(const mint a) const { mint res(*this); return res+=a;}
  mint operator-(const mint a) const { mint res(*this); return res-=a;}
  mint operator*(const mint a) const { mint res(*this); return res*=a;}
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }
  // for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return (*this) *= a.inv();}
  mint operator/(const mint a) const { mint res(*this); return res/=a;}
  bool operator<(const mint& a)const{ return x < a.x;}
  bool operator==(const mint& a)const{ return x == a.x;}
};
istream& operator>>(istream&i,mint&a){i>>a.x;return i;}
ostream& operator<<(ostream&o,const mint&a){o<<a.x;return o;}

int n;
vi to[200005];

mint ans;
int dfs(int v, int p=-1) {
  int res = 1;
  vi ts;
  for (int u : to[v]) {
    if (u == p) continue;
    int t = dfs(u,v);
    res += t;
    ts.pb(t);
  }
  if (p != -1) {
    ts.pb(n-res);
  }
  mint now = mint(2).pow(n-1)-1; // (全通り) - (全部白)
  for (int t : ts) {
    now -= mint(2).pow(t)-1; // - (ちょうど1個の部分木のみに1個以上の黒がある)
  }
  ans += now;
  return res;
}

int main () {
  cin >> n;
  rep(i,n-1) {
    int a, b;
    cin >> a >> b;
    --a; --b;
    to[a].pb(b);
    to[b].pb(a);
  }
  dfs(0);
  ans /= mint(2).pow(n);
  cout << ans << endl;
  return 0;
}

Measured memory_bytes: 29184