#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i))
#define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i))
#define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i))
#define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i))
#define ALL(x) std::begin(x), std::end(x)
using namespace std;

inline constexpr int32_t modpow(uint_fast64_t x, uint64_t k, int32_t MOD) {
    assert (0 <= x and x < MOD);
    uint_fast64_t y = 1;
    for (; k; k >>= 1) {
        if (k & 1) (y *= x) %= MOD;
        (x *= x) %= MOD;
    }
    assert (0 <= y and y < MOD);
    return y;
}

inline int32_t modinv(int32_t value, int32_t MOD) {
    assert (0 <= value and value < MOD);
    assert (value != 0);
    int64_t a = value, b = MOD;
    int64_t x = 0, y = 1;
    for (int64_t u = 1, v = 0; a; ) {
        int64_t q = b / a;
        x -= q * u; std::swap(x, u);
        y -= q * v; std::swap(y, v);
        b -= q * a; std::swap(b, a);
    }
    assert (value * x + MOD * y == b and b == 1);
    if (x < 0) x += MOD;
    assert (0 <= x and x < MOD);
    return x;
}

template <int32_t MOD>
struct mint {
    int32_t value;
    mint() : value() {}
    mint(int64_t value_) : value(value_ < 0 ? value_ % MOD + MOD : value_ >= MOD ? value_ % MOD : value_) {}
    mint(int32_t value_, std::nullptr_t) : value(value_) {}
    explicit operator bool() const { return value; }
    inline constexpr mint<MOD> operator + (mint<MOD> other) const { return mint<MOD>(*this) += other; }
    inline constexpr mint<MOD> operator - (mint<MOD> other) const { return mint<MOD>(*this) -= other; }
    inline constexpr mint<MOD> operator * (mint<MOD> other) const { return mint<MOD>(*this) *= other; }
    inline constexpr mint<MOD> & operator += (mint<MOD> other) { this->value += other.value; if (this->value >= MOD) this->value -= MOD; return *this; }
    inline constexpr mint<MOD> & operator -= (mint<MOD> other) { this->value -= other.value; if (this->value <    0) this->value += MOD; return *this; }
    inline constexpr mint<MOD> & operator *= (mint<MOD> other) { this->value = (uint_fast64_t)this->value * other.value % MOD; return *this; }
    inline constexpr mint<MOD> operator - () const { return mint<MOD>(this->value ? MOD - this->value : 0, nullptr); }
    inline constexpr mint<MOD> pow(uint64_t k) const { return mint<MOD>(modpow(value, k, MOD), nullptr); }
    inline mint<MOD> inv() const { return mint<MOD>(modinv(value, MOD), nullptr); }
    inline constexpr mint<MOD> operator /  (mint<MOD> other) const { return *this *  other.inv(); }
    inline constexpr mint<MOD> operator /= (mint<MOD> other)       { return *this *= other.inv(); }
    inline constexpr bool operator == (mint<MOD> other) const { return value == other.value; }
    inline constexpr bool operator != (mint<MOD> other) const { return value != other.value; }
};
template <int32_t MOD> mint<MOD> operator * (int64_t value, mint<MOD> n) { return mint<MOD>(value) * n; }
template <int32_t MOD> std::istream & operator >> (std::istream & in, mint<MOD> & n) { int64_t value; in >> value; n = value; return in; }
template <int32_t MOD> std::ostream & operator << (std::ostream & out, mint<MOD> n) { return out << n.value; }

struct subtree_info_t {
    int parent;  // in the entire tree
    int depth;  // in the entire tree
    int size;  // of the subtree
    int height;  // of the subtree
};

/**
 * @brief subtree info / それぞれの部分木の size とか height とかをまとめて求めておいてくれるやつ
 * @arg g must be a tree
 * @note O(n) time
 * @note O(n) space on heap
 */
std::vector<subtree_info_t> prepare_subtree_info(std::vector<std::vector<int> > const & g, int root) {
    int n = g.size();
    std::vector<subtree_info_t> info(n, (subtree_info_t) { -1, -1, -1, -1 });
    std::vector<int> topological(n);
    topological[0] = root;
    info[root].parent = root;
    info[root].depth = 0;
    int r = 1;
    for (int l = 0; l < r; ++ l) {
        int i = topological[l];
        for (int j : g[i]) if (j != info[i].parent) {
            topological[r ++] = j;
            info[j].parent = i;
            info[j].depth = info[i].depth + 1;
        }
    }
    while ((-- r) >= 0) {
        int i = topological[r];
        info[i].size = 1;
        info[i].height = 0;
        for (int j : g[i]) if (j != info[i].parent) {
            info[i].size += info[j].size;
            info[i].height = std::max(info[i].height, info[j].height + 1);
        }
    }
    info[root].parent = -1;
    return info;
}


constexpr int MOD = 1e9 + 7;

mint<MOD> solve(int n, const vector<vector<int> > & g) {
    constexpr int root = 0;
    auto info = prepare_subtree_info(g, root);
    mint<MOD> answer = 0;
    function<void (int)> go = [&](int i) {
        vector<mint<MOD> > ps;
        for (int j : g[i]) {
            int size = (j == info[i].parent ? n - info[i].size : info[j].size);
            ps.push_back(mint<MOD>(1) - mint<MOD>(2).inv().pow(size));
        }
        mint<MOD> zero = 1;
        for (mint<MOD> p : ps) {
            zero *= mint<MOD>(1) - p;
        }
        mint<MOD> one = 0;
        for (mint<MOD> p : ps) {
            one += zero / (mint<MOD>(1) - p) * p;
        }
        answer += (mint<MOD>(1) - zero - one) / 2;
        for (int j : g[i]) if (j != info[i].parent) {
            go(j);
        }
    };
    go(root);
    return answer;
}

int main() {
    int n; cin >> n;
    vector<vector<int> > g(n);
    REP (i, n - 1) {
        int a, b; cin >> a >> b;
        -- a;
        -- b;
        g[a].push_back(b);
        g[b].push_back(a);
    }
    cout << solve(n ,g) << endl;
    return 0;
}


Measured memory_bytes: 41072