#include <bits/stdc++.h>
using namespace std;
constexpr int64_t mod = 1'000'000'007; //'

template <uint32_t mod>
class modint{
    uint64_t value;
public:
    constexpr modint(const int64_t x=0) noexcept: value(x % mod + (x < 0 ? mod : 0)){ }
    constexpr explicit operator uint64_t() const noexcept{ return value; }
    constexpr modint inverse() const noexcept{ return pow(*this, mod-2); }
    constexpr bool operator==(const modint &rhs) const noexcept{ return value == rhs.value; }
    constexpr bool operator!=(const modint &rhs) const noexcept{ return value != rhs.value; }
    constexpr modint operator+() const noexcept{ return modint(*this); }
    constexpr modint operator-() const noexcept{ return modint(mod - value); }
    constexpr modint operator+(const modint &rhs) const noexcept{ return modint(*this) += rhs; }
    constexpr modint operator-(const modint &rhs) const noexcept{ return modint(*this) -= rhs; }
    constexpr modint operator*(const modint &rhs) const noexcept{ return modint(*this) *= rhs; }
    constexpr modint operator/(const modint &rhs) const noexcept{ return modint(*this) /= rhs; }
    constexpr modint &operator+=(const modint &rhs) noexcept{
        if((value += rhs.value) >= mod) value -= mod;
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept{ return *this += mod - rhs.value; }
    constexpr modint &operator*=(const modint &rhs) noexcept{
        if((value *= rhs.value) >= mod) value %= mod;
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) noexcept{ return *this *= rhs.inverse(); }
    constexpr modint operator++(int) noexcept{
        modint ret(*this);
        if((++value) >= mod) value -= mod;
        return ret;
    }
    constexpr modint operator--(int) noexcept{
        modint ret(*this);
        if((value += mod - 1) >= mod) value -= mod;
        return ret;
    }
    constexpr modint &operator++() noexcept{ return *this += 1; }
    constexpr modint &operator--() noexcept{ return *this -= 1; }
    friend std::ostream &operator<<(std::ostream &os, const modint<mod> &x){ return os << x.value; }
    friend std::istream &operator>>(std::istream &is, modint<mod> &x){
        int64_t i;
        is >> i;
        x = modint<mod>(i);
        return is;
    }
    friend constexpr modint<mod> pow(const modint<mod> &x, uint64_t y){
        modint<mod> ret{1}, m{x};
        while(y > 0){
            if(y & 1) ret *= m;
            m *= m;
            y >>= 1;
        }
        return ret;
    }
};

int n;
vector<int> edges[200000];
modint<mod> dp[200000], ee;
constexpr modint<mod> half = modint<mod>{1} / 2;

size_t solve(int v, int p=-1){
    size_t sz = 1;
    for(auto t: edges[v]){
        if(t == p) continue;
        sz += solve(t, v);
    }
    dp[v] = sz;
    if(p != -1) ee += (pow(half, sz) - 1) * (pow(half, n - sz) - 1);
    return sz;
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    
    cin >> n;
    for(int i=1;i<n;++i){
        int a, b;
        cin >> a >> b;
        --a; --b;
        edges[a].emplace_back(b);
        edges[b].emplace_back(a);
    }

    cerr << solve(0) << endl;
    modint<mod> s = ee + 1 - pow(half, n);
    cout << s - modint<mod>{n} / 2 << endl;

    return 0;
}

Measured memory_bytes: 21632