lib C fun strtoll(s : UInt8*, p : UInt8**, b : Int32) : Int64 end class String def to_i64 C.strtoll(self, nil, 10) end end struct ModInt @@MOD = 1_000_000_007i64 def self.mod @@MOD end def self.zero ModInt.new(0) end def initialize(n) @n = n.to_i64 % @@MOD end getter n : Int64 def + : self self end def - : self ModInt.new(n != 0 ? @@MOD - @n : 0) end def +(m) ModInt.new(@n + m.to_i64 % @@MOD) end def -(m) ModInt.new(@n - m.to_i64 % @@MOD) end def *(m) ModInt.new(@n * m.to_i64 % @@MOD) end def /(m) raise DivisionByZeroError.new if m == 0 a, b, u, v = m.to_i64, @@MOD, 1i64, 0i64 while b != 0 t = a // b a -= t * b a, b = b, a u -= t * v u, v = v, u end ModInt.new(@n * u) end def //(m) self / m end def **(m : Int) t, res = self, ModInt.new(1) while m > 0 res *= t if m.odd? t *= t m >>= 1 end res end def ==(m) @n == m.to_i64 end def !=(m) @n != m.to_i64 end def succ self + 1 end def pred self - 1 end def to_i64 : Int64 @n end delegate to_s, to: @n delegate inspect, to: @n end struct Int def to_mint : ModInt ModInt.new(self) end end class Comb(T) def initialize(@Max = 400009) @fac = Array(T).new(@Max, T.zero) @finv = Array(T).new(@Max, T.zero) @inv = Array(T).new(@Max, T.zero) @fac[0] = @fac[1] = T.new(1) @finv[0] = @finv[1] = T.new(1) @inv[1] = T.new(1) (2...@Max).each do |i| @fac[i] = @fac[i - 1] * i @inv[i] = -@inv[T.mod % i] * (T.mod / i) @finv[i] = @finv[i - 1] * @inv[i] end end def permutation(n, r) (n < r || n < 0 || r < 0) ? T.zero : @fac[n] * @finv[n - r] end def combination(n, r) (n < r || n < 0 || r < 0) ? T.zero : @fac[n] * @finv[r] * @finv[n - r] end def homogeneous_product(n, r) (n < 0 || r < 0) ? T.zero : r == T.zero ? T.new(1) : c(n + r - 1, r) end def factorial(n) @fac[n] end end class Solve @n : Int32 @g : Array(Array(Int32)) @parent_size : Array(Int32) def initialize @n = read_line.to_i @g = Array.new(@n) { [] of Int32 } (@n - 1).times do u, v = read_line.split.map(&.to_i.pred) @g[u] << v @g[v] << u end @parent_size = Array.new(@n, 1) end def dfs(v, prev, size) @parent_size[v] = size @g[v].each do |u| if u != prev dfs(u, v, size + 1) end end end def solve dfs(0, -1, 1) comb = Comb(ModInt).new puts @parent_size.sum { |s| comb.combination(@n, s) * comb.factorial(s - 1) * comb.factorial(@n - s) } end end Solve.new.solve