#include <bits/stdc++.h>
#define int long long
#define ll long long
using ull = unsigned long long;
using namespace std;
const int INF = 1e10;
const int MOD = 1e9 + 7;
#define dump(x)                             \
    if (dbg) {                              \
        cerr << #x << " = " << (x) << endl; \
    }
#define overload4(_1, _2, _3, _4, name, ...) name
#define FOR1(n) for (ll i = 0; i < (n); ++i)
#define FOR2(i, n) for (ll i = 0; i < (n); ++i)
#define FOR3(i, a, b) for (ll i = (a); i < (b); ++i)
#define FOR4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FORR(i, a, b) for (int i = (a); i <= (b); ++i)
#define bit(n, k) ((n >> k) & 1) /*nのk bit目*/
template <class T>
bool chmin(T& a, const T& b) {
    if (a > b) {
        a = b;
        return 1;
    } else
        return 0;
}
template <class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return 1;
    } else
        return 0;
}
void Yes(bool flag = true) {
    if (flag)
        cout << "Yes" << endl;
    else
        cout << "No" << endl;
}
void No(bool flag = true) {
    Yes(!flag);
}
void YES(bool flag = true) {
    if (flag)
        cout << "YES" << endl;
    else
        cout << "NO" << endl;
}
void NO(bool flag = true) {
    YES(!flag);
}
#define pb push_back
#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define all(v) (v).begin(), (v).end()
#define SZ(x) ((int)(x).size())
#define P pair<int, int>
//#define V vector<int>
//#define S set<int>
#define itn int
bool dbg = false;

vector<vector<int>> cnt;
map<P, int> check;


//Template by yosupo
template <uint MD>
struct ModInt {
    using M = ModInt;
    const static M G;
    uint v;
    ModInt(ll _v = 0) { set_v(_v % MD + MD); }
    M& set_v(uint _v) {
        v = (_v < MD) ? _v : _v - MD;
        return *this;
    }
    explicit operator bool() const { return v != 0; }
    M operator-() const { return M() - *this; }
    M operator+(const M& r) const { return M().set_v(v + r.v); }
    M operator-(const M& r) const { return M().set_v(v + MD - r.v); }
    M operator*(const M& r) const { return M().set_v(ull(v) * r.v % MD); }
    M operator/(const M& r) const { return *this * r.inv(); }
    M& operator+=(const M& r) { return *this = *this + r; }
    M& operator-=(const M& r) { return *this = *this - r; }
    M& operator*=(const M& r) { return *this = *this * r; }
    M& operator/=(const M& r) { return *this = *this / r; }
    bool operator==(const M& r) const { return v == r.v; }
    M pow(ll n) const {
        M x = *this, r = 1;
        while (n) {
            if (n & 1)
                r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    M inv() const { return pow(MD - 2); }
    friend ostream& operator<<(ostream& os, const M& r) { return os << r.v; }
};
using Mint = ModInt<MOD>;
template <typename sum_t, typename key_t>
struct ReRooting {
    struct Edge {
        int to;
        key_t data;
        sum_t dp, ndp;
    };

    using F = function<sum_t(sum_t, sum_t)>;
    using G = function<sum_t(sum_t, key_t)>;

    vector<vector<Edge>> g;
    vector<sum_t> subdp, dp;
    const sum_t ident;
    const F f;
    const G gg;

    ReRooting(int V, const F f, const G g, const sum_t& ident)
        : g(V), f(f), gg(g), ident(ident), subdp(V, ident), dp(V, ident) {}

    void add_edge(int u, int v, const key_t& d) {
        g[u].emplace_back((Edge){v, d, ident, ident});
        g[v].emplace_back((Edge){u, d, ident, ident});
    }

    void add_edge_bi(int u, int v, const key_t& d, const key_t& e) {
        g[u].emplace_back((Edge){v, d, ident, ident});
        g[v].emplace_back((Edge){u, e, ident, ident});
    }

    void dfs_sub(int idx, int par) {
        for (auto& e : g[idx]) {
            if (e.to == par)
                continue;
            dfs_sub(e.to, idx);
            subdp[idx] = f(subdp[idx], gg(subdp[e.to], P(idx, e.to)));
        }
    }

    void dfs_all(int idx, int par, const sum_t& top) {
        sum_t buff{ident};
        for (int i = 0; i < (int)g[idx].size(); i++) {
            auto& e = g[idx][i];
            e.ndp = buff;
            e.dp = gg(par == e.to ? top : subdp[e.to], P(idx, e.to));
            buff = f(buff, e.dp);
        }
        dp[idx] = buff;
        buff = ident;
        for (int i = (int)g[idx].size() - 1; i >= 0; i--) {
            auto& e = g[idx][i];
            if (e.to != par)
                dfs_all(e.to, idx, f(e.ndp, buff));
            e.ndp = f(e.ndp, buff);
            buff = f(buff, e.dp);
        }
    }

    vector<sum_t> build() {
        dfs_sub(0, -1);
        dfs_all(0, -1, ident);
        return dp;
    }
};
//https://ei1333.hateblo.jp/entry/2018/12/21/004022

int N, A[202020], B[202020];


void solve() {

    cnt.resize(N);

    auto f1 = [](int a, int b) {
        return a + b;
    };
    auto f2 = [&](int a, P p) {
        if (!check[p]) {
            cnt[p.first].pb(a + 1);
            check[p] = 1;
        }
        return a + 1;
    };

    ReRooting<int, P> tree(N, f1, f2, 0);

    FOR(N - 1) {
        tree.add_edge(A[i], B[i], P(0, 0));
    }

    tree.build();

    Mint ans = 0;
    FOR(N) {
        Mint tmp = 0;
        Mint ret = 0;
        tmp += (Mint{1} / Mint{2}.pow(tree.dp[i]));
        ret += tmp;
        for (auto x : cnt[i]) {
            cerr << i + 1 << " : " << x << endl;
            ret += tmp * (Mint{2}.pow(x) - (Mint{1}));
        }
        cerr << endl;
        ret = Mint{1} - ret;
        ret /= 2;
        ans += ret;
    }
    cout << ans << endl;
}

signed main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cin >> N;
    FOR(N - 1) {
        cin >> A[i] >> B[i];
        A[i]--;
        B[i]--;
    }


    solve();
    return 0;
}


Measured memory_bytes: 89700