#include #define _GLIBCXX_DEBUG using namespace std; using ll = long long; using ld = long double; using V = vector; using Vll = vector; using Vld = vector; using Vbo = vector; using VV = vector; using VVll = vector; using VVld = vector; using VVbo = vector; using VVV = vector; using VVVll = vector; using P = pair; using Pll = pair; using Pld = pair; #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define rep(i, n) rep2(i, 0, n) #define drep(i, n) drep2(i, n, 0) #define all(a) (a).begin(), (a).end() struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; template inline int sz(T &x) { return x.size(); } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template inline int count_between(vector &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) inline int fLog2(const int x) { return 31-__builtin_clz(x); } // floor(log2(x)) inline int fLog2(const ll x) { return 63-__builtin_clzll(x); } inline int cLog2(const int x) { return (x == 1) ? 0 : 32-__builtin_clz(x-1); } // ceil(log2(x)) inline int cLog2(const ll x) { return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } inline int popcount(const int x) { return __builtin_popcount(x); } inline int popcount(const ll x) { return __builtin_popcountll(x); } const int INF = 1<<30; const ll INFll = 1ll<<62; const ld EPS = 1e-10; const ld PI = acos(-1.0); const int MOD = int(1e9)+7; // const int MOD = 998244353; struct mint { ll x; mint(ll x=0) : x((x%MOD+MOD)%MOD) {} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint a) { if ((x -= a.x) < 0) x += MOD; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } mint& operator/=(const mint r) { ll a = r.x, b = MOD, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } x = x * u % MOD; if (x < 0) x += MOD; return *this; } mint operator/(const mint a) const { return mint(*this) /= a; } }; // istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } using Vm = vector; using VVm = vector; using VVVm = vector; VV G; Vm dfs(int k, int u, int p=-1) { Vm res = {1, 1, 0, 0}; for (int v : G[u]) if (v != p) { auto q = dfs(k, v, u); q[0] *= 2; q[k] *= 2; drep(i, 4) { res[i] *= q[0]; rep2(j, 1, i+1) res[i] += res[i-j] * q[j]; } } return res; } int main() { int n; cin >> n; G.assign(n, V()); rep(i, n-1) { int u, v; cin >> u >> v; --u, --v; G[u].push_back(v); G[v].push_back(u); } auto dp2 = dfs(2, 0); auto dp3 = dfs(3, 0); mint ans = mint(2).pow(n-1) * n; ans += dp2[2] * 6; ans += dp3[3] * 6; cout << ans << '\n'; return 0; }