// May this submission get accepted!

#pragma GCC optimize ("O3")
#pragma GCC target ("tune=native")
#pragma GCC target ("avx")

#include <bits/stdc++.h>

// 汎用マクロ
#define ALL_OF(x) (x).begin(), (x).end()
#define REP(i,n) for (long long i=0, i##_len=(n); i<i##_len; i++)
#define RANGE(i,is,ie) for (long long i=(is), i##_end=(ie); i<=i##_end; i++)
#define DSRNG(i,is,ie) for (long long i=(is), i##_end=(ie); i>=i##_end; i--)
#define STEP(i, is, ie, step) for (long long i=(is), i##_end=(ie), i##_step = (step); i<=i##_end; i+=i##_step)
#define UNIQUE(v) do { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } while (false)
template<class T> bool chmax(T &a, const T &b) { if (a < b) {a = b; return true;} return false; }
template<class T> bool chmin(T &a, const T &b) { if (a > b) {a = b; return true;} return false; }
#define INF 0x7FFFFFFF
#define LINF 0x7FFFFFFFFFFFFFFFLL
#define Yes(q) ((q) ? "Yes" : "No")
#define YES(q) ((q) ? "YES" : "NO")
#define Possible(q) ((q) ? "Possible" : "Impossible")
#define POSSIBLE(q) ((q) ? "POSSIBLE" : "IMPOSSIBLE")
#define DUMP(q) cerr << "[DEBUG] " #q ": " << (q) << " at " __FILE__ ":" << __LINE__ << endl
#define DUMPALL(q) do { cerr << "[DEBUG] " #q ": ["; REP(DUMPALL_ITR, (q).size()) { cerr << (q)[DUMPALL_ITR] << (DUMPALL_ITR == DUMPALL_ITR_len-1 ? "" : ", "); } cerr << "] at " __FILE__ ":" << __LINE__ << endl; } while (false)
template<class T> T gcd(T a, T b) { if (a < b) std::swap(a, b); while (b) std::swap(a %= b, b); return a; }
template<class T> T lcm(const T a, const T b) { return a / gcd(a, b) * b; }

// gcc拡張マクロ
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll

// エイリアス
#define DANCE_ long
#define ROBOT_ unsigned
#define HUMAN_ signed
using  ll = DANCE_ HUMAN_ DANCE_;
using ull = DANCE_ ROBOT_ DANCE_;
using  ld = long double;
using namespace std;

// 標準入出力
struct inp {
    size_t sz;
    inp(size_t _sz = 1) : sz(_sz) {}
    template <typename T> operator T () const { T a; cin >> a; return a; }
    template <typename T> operator vector<T> () const { vector<T> a(sz); for (size_t i = 0; i < sz; i++) cin >> a[i]; return a; }
    template <typename T, typename U> operator pair<T, U> () const { T f; U s; cin >> f >> s; return pair<T, U>(f, s); }
};
inp inp1; // input one
template <typename T> void say(T &x, char end = '\n') { cout << x << end; }
template <typename T> void say(vector<T> &x, char sep = ' ', char end = '\n') { for (size_t i = 0, sz = x.size(); i < sz; i++) { cout << x[i] << (i == sz-1 ? end : sep); } }

// モジュール
// 剰余演算
constexpr ll pdiv = 1000000007LL; // 10^9+7
ll powll(ll a, ll n) {
    ll result = 1;
    ll base = a;
    ll mask = 1;
    while (mask <= n) {
        if (n & mask) (result *= base) %= pdiv;
        mask <<= 1;
        (base *= base) %= pdiv;
    }
    return result;
}

inline ll invll(ll a) { return powll(a, pdiv-2); }

vector<ll> fac_cache = {1}, invfac_cache = {1};
void make_fac_cache(ll a) {
    ll old_max = fac_cache.size() - 1;
    if (a > old_max) {
        fac_cache   .resize(a+1);
        invfac_cache.resize(a+1);
        for (ll i = old_max + 1; i <= a; i++) {
            fac_cache[i] = fac_cache[i-1] * i % pdiv;
        }
        invfac_cache[a] = invll(fac_cache[a]);
        for (ll i = a-1; i > old_max; i--) {
            invfac_cache[i] = invfac_cache[i+1] * (i + 1) % pdiv;
        }
    }
}

inline ll    facll(ll a) { make_fac_cache(a); return fac_cache[a]; }
inline ll invfacll(ll a) { make_fac_cache(a); return invfac_cache[a]; }
inline bool isoutll(ll n, ll r) { return n < 0 || r < 0 || n < r; }
inline ll nPr(ll n, ll r) { return isoutll(n, r) ? 0 : facll(n) * invfacll(n-r) % pdiv; }
inline ll nCr(ll n, ll r) { return isoutll(n, r) ? 0 : facll(n) * invfacll(n-r) % pdiv * invfacll(r) % pdiv; }
inline ll nHr(ll n, ll r) { return nCr(n+r-1, r); }

// 処理内容
int main() {
    
    ios::sync_with_stdio(false); // stdioを使うときはコメントアウトすること
    cin.tie(nullptr);            // インタラクティブ問題ではコメントアウトすること
    
    ll n = inp1;
    vector<vector<ll>> g(n);
    REP(i, n-1) {
        ll a = inp1, b = inp1;
        a--; b--;
        g[a].push_back(b);
        g[b].push_back(a);
    }

    ll root = 0;

    vector<ll> depth(n, INF);
    {
        deque<ll> q = {root};
        depth[root] = 0;
        while (q.size()) {
            ll u = q.front(); q.pop_front();
            for (ll v : g[u]) {
                if (depth[v] == INF) {
                    depth[v] = depth[u] + 1;
                    q.push_back(v);
                }
            }
        }
    }

    vector<ll> toposo(n);
    iota(ALL_OF(toposo), 0);
    sort(ALL_OF(toposo), [&](ll i, ll j) {
        return depth[i] > depth[j];
    });
    
    vector<ll> offspring(n, 1); // 自身を含めた子孫ノードの数
    REP(_i, n) {
        ll i = toposo[_i];
        for (ll j : g[i]) if (depth[i] > depth[j]) {
            offspring[j] += offspring[i];
        }
    }

    ll ans = 0;
    REP(i, n) {
        vector<ll> branches;
        if (i == root) {
            for (ll j : g[i]) {
                branches.push_back(offspring[j]);
            }
        } else {
            branches.push_back(offspring[root] - offspring[i]);
            for (ll j : g[i]) if (depth[j] > depth[i]) {
                branches.push_back(offspring[j]);
            }
        }
        if (branches.size() < 2) continue;
        ll pb0 = powll(invll(2), n-1);
        ll pb1 = 0;
        for (ll sj : branches) {
            // pb1 += pb0 * (powll(2, sj) - 1);
            pb1 += (powll(2, sj) - 1 + pdiv) % pdiv * pb0 % pdiv;
            pb1 %= pdiv;
        }
        ans += (1 - pb0 - pb1 + pdiv * 2) % pdiv * invll(2) % pdiv;
        ans %= pdiv;
    }
    say(ans);
    
}

Measured memory_bytes: 19248