#include #include #include #include #include #include #include #include #include #include #include using namespace std; using lli = long long int; using Vint = std::vector; using Vlli = std::vector; using Wint = std::vector; using Wlli = std::vector; using Vbool = std::vector; using pii = std::pair; using pll = std::pair; template using Vec = std::vector; constexpr int MOD = 1e9 + 7; constexpr int INFi = 2e9 + 1; constexpr lli INFl = (lli)(9e18) + 1; const vector DXDY = {std::make_pair(1, 0), std::make_pair(-1, 0), std::make_pair(0, 1), std::make_pair(0, -1)}; constexpr char BR = '\n'; #define FOR(i, a, b) for(int (i) = (a); (i) < (b); (i)++) #define FOReq(i, a, b) for(int (i) = (a); (i) <= (b); (i)++) #define rFOR(i, a, b) for(int (i) = (b); (i) >= (a); i--) #define FORstep(i, a, b, step) for(int (i) = (a); i < (b); i += (step)) #define REP(i, n) FOR(i, 0, n) #define rREP(i, n) rFOR(i, 0, (n-1)) #define vREP(ele, vec) for(auto &(ele) : (vec)) #define vREPcopy(ele, vec) for(auto (ele) : (vec)) #define SORT(A) std::sort((A).begin(), (A).end()) #define rSORT(A) std::sort((A).rbegin(), (A).rend()) // 座標圧縮 (for vector) : ソートしてから使うのが一般的 ; SORT(A) => COORDINATE_COMPRESSION(A) #define COORDINATE_COMPRESSION(A) (A).erase(unique((A).begin(),(A).end()),(A).end()) template inline int argmin(std::vector vec){return min_element(vec.begin(), vec.end()) - vec.begin();} template inline int argmax(std::vector vec){return max_element(vec.begin(), vec.end()) - vec.begin();} template inline void chmax(T &a, T b){a = max(a, b);} template inline void chmin(T &a, T b){a = min(a, b);} inline int BitI(int k){return 1 << k;} inline lli BitL(int k){return 1L << k;} inline int toInt(string &s){int res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline int toInt(const string s){int res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline long long int toLong(string &s){lli res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} inline long long int toLong(const string s){lli res = 0; for(char a : s) res = 10 * res + (a - '0'); return res;} template inline std::string toString(T n){ if(n == 0) return "0"; std::string res = ""; if(n < 0){n = -n;while(n != 0){res += (char)(n % 10 + '0'); n /= 10;} std::reverse(res.begin(), res.end()); return '-' + res;} while(n != 0){res += (char)(n % 10 + '0'); n /= 10;} std::reverse(res.begin(), res.end()); return res; } // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ using Vbool = std::vector; lli power_mod(int a, int n, int mod){ if(n == 0) return 1; lli prev = power_mod(a, n / 2, mod); if(n % 2 == 0) return (prev * prev) % mod; return (((prev * prev) % mod) * a) % mod; } inline lli getInv(int a, int mod){ return power_mod(a, mod - 2, mod); } int main(void){ int n; scanf("%d", &n); Vbool hasDone(n, false); Wint Tree(n, Vint(0)); lli rrr = 1; for(int i = 2; i <= n; i++) rrr = (rrr * i) % MOD; REP(i, n-1){ int a, b; scanf("%d%d", &a, &b); a--; b--; Tree[a].emplace_back(b); Tree[b].emplace_back(a); } std::queue Q; Q.push(0); hasDone[0] = true; const lli inv_n = getInv(n, MOD), inv_two = getInv(2, MOD); int cnt = 0; lli res = 0; int faze = 1; while(not Q.empty()){ const int sz = Q.size(); REP(_, sz){ int idx = Q.front(); Q.pop(); vREP(ele, Tree[idx]){ if(not hasDone[ele]){ Q.push(ele); hasDone[ele] = true;} } } lli united = sz * rrr * getInv(faze, MOD) % MOD; res = (res + united) % MOD; cnt += sz; faze++; //cout << united << BR; } cout << res << BR; return 0; }