import std.stdio;
import std.string;
import std.format;
import std.conv;
import std.typecons;
import std.algorithm;
import std.functional;
import std.bigint;
import std.numeric;
import std.array;
import std.math;
import std.range;
import std.container;
import std.concurrency;
import std.traits;
import std.uni;
import core.bitop : popcnt;
alias Generator = std.concurrency.Generator;

enum long INF = long.max/5;
enum long MOD = 10L^^9+7;

class Vertex {
  long index;
  Vertex[] adj;
  long[] nums;
  long fromIndex = -1;
  mixin Constructor;

  long findIndex(Vertex v) {
    long l = -1;
    long r = adj.length;
    while(r - l > 1) {
      long c = (l + r)/2;
      if (adj[c].index <= v.index) {
        l = c;
      } else {
        r = c;
      }
    }
    if (l < 0) {
      return -1;
    }
    assert(adj[l] is v);
    return l;
  }
}

void main() {
  long N;
  scanln(N);

  Vertex[] vs = N.iota.map!(i => new Vertex(i)).array;
  foreach(i; 0..N-1) {
    long a, b;
    scanln(a, b);
    a--; b--;
    vs[a].adj ~= vs[b];
    vs[b].adj ~= vs[a];
  }

  foreach(v; vs) {
    v.adj.sort!"a.index < b.index";
    v.nums.length = v.adj.length;
    v.nums[] = -1;
  }

  long rec(Vertex v, Vertex from) {
    if (from !is null) {
      long i = v.findIndex(from);
      v.fromIndex = i;
    }
    long res = 0;
    long M = v.adj.length;
    foreach(i; 0..M) {
      if (v.adj[i] is from) continue;
      if (v.nums[i]<0) {
        long t = rec(v.adj[i], v);
        v.nums[i] = t;
      }
      res += v.nums[i];
    }
    return res+1;
  }

  rec(vs[0], null);
  foreach(v; vs) {
    if (v.fromIndex < 0) continue;
    long s = 0;
    foreach(num; v.nums) {
      if (num < 0) continue;
      s += num;
    }
    v.nums[v.fromIndex] = N - s - 1;
  }

  ModNum[] ts = new ModNum[N+1];
  ts[0] = 1;
  foreach(i; 0..N) {
    ts[i+1] = ts[i]*2;
  }

  ModNum ans = 0;

  foreach(v; vs) {
    long M = v.adj.length;
    long s = 0;
    foreach(i; 0..M) {
      s += v.nums[i];
    }
    ModNum p = ts[s] - 1;
    foreach(i; 0..M) {
      p -= ts[v.nums[i]] - 1;
    }
    ans += p;
  }

  writeln(ans / ModNum(2)^^N);
}

alias ModNum = ModNumber!(long, MOD);

struct ModNumber(T, T mod) if (__traits(isIntegral, T)) {
  private enum FACT_MAX = 1000010;

  T value;
  this(T value) {
    this.value = value;
    this.value %= mod;
    this.value += mod;
    this.value %= mod;
  }

  ModNumber opAssign(T value) {
    this.value = value;
    return this;
  }

  ModNumber opBinary(string op)(ModNumber that) if (op=="+" || op=="-" || op=="*") {
    return ModNumber(mixin("(this.value "~op~" that.value + mod) % mod"));
  }
  ModNumber opBinary(string op)(T that) if (op=="+" || op=="-" || op=="*") {
    return ModNumber(mixin("(this.value "~op~" that + mod) % mod"));
  }
  ModNumber opBinaryRight(string op)(T that) if (op=="+" || op=="-" || op=="*") {
    return ModNumber(mixin("(that "~op~" this.value + mod) % mod"));
  }

  ModNumber opBinary(string op)(ModNumber that) if (op == "/") {
    return this*getReciprocal(that);
  }
  ModNumber opBinary(string op)(T that) if (op == "/") {
    return this*getReciprocal(ModNumber(that));
  }
  ModNumber opBinaryRight(string op)(T that) if (op == "/") {
    return ModNumber(that)*getReciprocal(this);
  }

  ModNumber opBinary(string op)(ModNumber that) if (op == "^^") {
    return ModNumber(modPow(this.value, that.value));
  }
  ModNumber opBinary(string op)(T that) if (op == "^^") {
    return ModNumber(modPow(this.value, that));
  }
  ModNumber opBinaryRight(string op)(T that) if (op == "^^") {
    return ModNumber(modPow(that, this.value));
  }

  void opOpAssign(string op)(ModNumber that) if (op=="+" || op=="-" || op=="*" || op=="/") {
    this = mixin("this" ~op~ "that");
  }
  void opOpAssign(string op)(T that) if (op=="+" || op=="-" || op=="*" || op=="/") {
    this = mixin("this" ~op~ "that");
  }

  ModNumber getReciprocal(ModNumber x) in {
    debug assert(isPrime(mod));
  } body {
    return ModNumber(modPow(x.value, mod-2));
  }
  T modPow(T base, T power)  {
    T result = 1;
    for (; power > 0; power >>= 1) {
      if (power & 1) {
        result = (result * base) % mod;
      }
      base = base*base % mod;
    }
    return result;
  }

  static bool isPrime(T n) {
    if (n<2) {
      return false;
    } else if (n==2) {
      return true;
    } else if (n%2==0) {
      return false;
    } else {
      for(T i=3; i*i<=n; i+=2) {
        if (n%i==0) return false;
      }
      return true;
    }
  }

  // n! : 階乗
  static ModNumber fact(T n) {
    assert(0<=n && n<=FACT_MAX);
    static ModNumber[] memo;
    if (memo.length == 0) {
      memo = new ModNumber[FACT_MAX+1];
      memo[0] = ModNumber(1);
      assert(memo[0] != ModNumber.init);
    }
    auto acc = ModNumber(1);
    foreach_reverse(i; 0..n+1) {
      if (memo[i] != ModNumber.init) {
        foreach(j; i+1..n+1) {
          memo[j] = memo[j-1] * j;
        }
        return memo[n];
      }
    }
    assert(false);
  }

  // 1/(n!) : 階乗の逆元 (逆元テーブルを用いる)
  static ModNumber invFact(T n) {
    assert(0<=n && n<=FACT_MAX);
    static ModNumber inverse(T n) {
      assert(1<=n && n<=FACT_MAX);
      static ModNumber[] memo;
      if (memo.length == 0) {
        memo = new ModNumber[FACT_MAX+1];
      }
      if (memo[n] != ModNumber.init) {
        return memo[n];
      } else {
        return memo[n] = n==1 ? ModNumber(1) : ModNumber(-mod/n)*inverse(mod%n);
      }
    }
    static ModNumber[] memo;
    if (memo.length == 0) {
      memo = new ModNumber[FACT_MAX+1];
      memo[0] = ModNumber(1);
      assert(memo[0] != ModNumber.init);
    }
    foreach_reverse(i; 0..n+1) {
      if (memo[i] != ModNumber.init) {
        foreach(j; i+1..n+1) {
          memo[j] = memo[j-1] * inverse(j);
        }
        return memo[n];
      }
    }
    assert(false);
  }

  // {}_n C_r: 組合せ
  static ModNumber comb(T n, T r) {
    import std.functional : memoize;
    if (r<0 || r>n) return ModNumber(0);
    if (r*2 > n) return comb(n, n-r);

    if (n<=FACT_MAX) {
      return fact(n) * invFact(r) * invFact(n-r); // 逆元テーブルを使用する
      // return fact(n) / fact(r) / fact(n-r); // 逆元テーブルを使用しない
    }

    ModNumber mul(T l, T r) {
      return l>r ? ModNumber(1) : l * memoize!mul(l+1, r);
    }
    return memoize!mul(n-r+1, n) / memoize!mul(1, r);
  }

  // {}_n H_r: 重複組合せ (Homogeneous Combination)
  static ModNumber hComb(T n, T r) {
    return comb(n+r-1, r);
  }

  string toString() {
    import std.conv;
    return this.value.to!string;
  }

  invariant {
    assert(this.value>=0);
    assert(this.value<mod);
  }
}


// ----------------------------------------------


void times(alias fun)(long n) {
  // n.iota.each!(i => fun());
  foreach(i; 0..n) fun();
}
auto rep(alias fun, T = typeof(fun()))(long n) {
  // return n.iota.map!(i => fun()).array;
  T[] res = new T[n];
  foreach(ref e; res) e = fun();
  return res;
}

T ceil(T)(T x, T y) if (isIntegral!T || is(T == BigInt)) {
  // `(x+y-1)/y` will only work for positive numbers ...
  T t = x / y;
  if (y > 0 && t * y < x) t++;
  if (y < 0 && t * y > x) t++;
  return t;
}

T floor(T)(T x, T y) if (isIntegral!T || is(T == BigInt)) {
  T t = x / y;
  if (y > 0 && t * y > x) t--;
  if (y < 0 && t * y < x) t--;
  return t;
}

ref T ch(alias fun, T, S...)(ref T lhs, S rhs) {
  return lhs = fun(lhs, rhs);
}
unittest {
  long x = 1000;
  x.ch!min(2000);
  assert(x == 1000);
  x.ch!min(3, 2, 1);
  assert(x == 1);
  x.ch!max(100).ch!min(1000); // clamp
  assert(x == 100);
  x.ch!max(0).ch!min(10); // clamp
  assert(x == 10);
}

mixin template Constructor() {
  import std.traits : FieldNameTuple;
  this(Args...)(Args args) {
    // static foreach(i, v; args) {
    foreach(i, v; args) {
      mixin("this." ~ FieldNameTuple!(typeof(this))[i]) = v;
    }
  }
}

void scanln(Args...)(auto ref Args args) {
  enum sep = " ";
  enum n = Args.length;
  enum fmt = n.rep!(()=>"%s").join(sep) ~ "\n";
  static if (__VERSION__ >= 2071) {
    readf!fmt(args);
  } else {
    enum argsTemp = n.iota.map!(
      i => "&args[%d]".format(i)
    ).join(", ");
    mixin(
      "readf(fmt, " ~ argsTemp ~ ");"
    );
  }
}

// fold was added in D 2.071.0
static if (__VERSION__ < 2071) {
  template fold(fun...) if (fun.length >= 1) {
    auto fold(R, S...)(R r, S seed) {
      static if (S.length < 2) {
        return reduce!fun(seed, r);
      } else {
        return reduce!fun(tuple(seed), r);
      }
    }
  }
}

// popcnt with ulongs was added in D 2.071.0
static if (__VERSION__ < 2071) {
  ulong popcnt(ulong x) {
    x = (x & 0x5555555555555555L) + (x>> 1 & 0x5555555555555555L);
    x = (x & 0x3333333333333333L) + (x>> 2 & 0x3333333333333333L);
    x = (x & 0x0f0f0f0f0f0f0f0fL) + (x>> 4 & 0x0f0f0f0f0f0f0f0fL);
    x = (x & 0x00ff00ff00ff00ffL) + (x>> 8 & 0x00ff00ff00ff00ffL);
    x = (x & 0x0000ffff0000ffffL) + (x>>16 & 0x0000ffff0000ffffL);
    x = (x & 0x00000000ffffffffL) + (x>>32 & 0x00000000ffffffffL);
    return x;
  }
}


Measured memory_bytes: 49148