#include <iostream>
#include <vector>
#include <functional>

template <int MOD>
struct ModInt {
    using lint = long long;
    int val;

    // constructor
    ModInt(lint v = 0) : val(v % MOD) {
        if (val < 0) val += MOD;
    };

    // unary operator
    ModInt operator+() const { return ModInt(val); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt inv() const { return this->pow(MOD - 2); }

    // arithmetic
    ModInt operator+(const ModInt& x) const { return ModInt(*this) += x; }
    ModInt operator-(const ModInt& x) const { return ModInt(*this) -= x; }
    ModInt operator*(const ModInt& x) const { return ModInt(*this) *= x; }
    ModInt operator/(const ModInt& x) const { return ModInt(*this) /= x; }
    ModInt pow(lint n) const {
        auto x = ModInt(1);
        auto b = *this;
        while (n > 0) {
            if (n & 1) x *= b;
            n >>= 1;
            b *= b;
        }
        return x;
    }

    // compound assignment
    ModInt& operator+=(const ModInt& x) {
        if ((val += x.val) >= MOD) val -= MOD;
        return *this;
    }
    ModInt& operator-=(const ModInt& x) {
        if ((val -= x.val) < 0) val += MOD;
        return *this;
    }
    ModInt& operator*=(const ModInt& x) {
        val = lint(val) * x.val % MOD;
        return *this;
    }
    ModInt& operator/=(const ModInt& x) { return *this *= x.inv(); }

    // compare
    bool operator==(const ModInt& b) const { return val == b.val; }
    bool operator!=(const ModInt& b) const { return val != b.val; }

    // I/O
    friend std::istream& operator>>(std::istream& is, ModInt& x) noexcept { return is >> x.val; }
    friend std::ostream& operator<<(std::ostream& os, const ModInt& x) noexcept { return os << x.val; }
};

template <class Cost = int>
struct Edge {
    int src, dst;
    Cost cost;
    Edge(int src = -1, int dst = -1, Cost cost = 1)
        : src(src), dst(dst), cost(cost){};

    bool operator<(const Edge<Cost>& e) const { return this->cost < e.cost; }
    bool operator>(const Edge<Cost>& e) const { return this->cost > e.cost; }
};

template <class Cost = int>
using Graph = std::vector<std::vector<Edge<Cost>>>;

constexpr int MOD = 1e9 + 7;
using mint = ModInt<MOD>;

int main() {
    const mint twoinv = mint(2).inv();

    int n;
    std::cin >> n;

    Graph<> tree(n);
    for (int i = 0; i < n - 1; ++i) {
        int u, v;
        std::cin >> u >> v;
        --u, --v;
        tree[u].emplace_back(u, v);
        tree[v].emplace_back(v, u);
    }

    mint ans = 0;
    std::function<int(int, int)> dfs =
        [&](int v, int r) {
            std::vector<int> ch;
            int sz = 0;

            for (auto e : tree[v]) {
                if (e.dst == r) continue;
                ch.push_back(dfs(e.dst, v));
                sz += ch.back();
            }
            ch.push_back(n - 1 - sz);

            mint sum = twoinv.pow(n - 1);
            for (auto c : ch) {
                sum += twoinv.pow(n - c - 1) - twoinv.pow(n - 1);
            }
            ans += twoinv * (mint(1) - sum);
            return sz + 1;
        };

    dfs(0, -1);
    std::cout << ans << std::endl;
    return 0;
}


Measured memory_bytes: 29824