mod = 10**9 + 7 def combination(n, r): assert 0 <= r <= n if n - r < r: r = n - r if r == 0: return 1 if r == 1: return n numerator = [n - r + i + 1 for i in range(r)] denominator = [i + 1 for i in range(r)] for p in range(2, r + 1): pivot = denominator[p - 1] if pivot > 1: offset = (n - r) % p for i in range(p - 1, r, p): numerator[i - offset] //= pivot denominator[i] //= pivot result = 1 for i in range(r): if numerator[i] > 1: result *= numerator[i] return result def main(): n = int(input()) assert 1 <= n <= 10**5 graph = [[] for _ in range(n)] for _ in range(n - 1): a, b = map(int, input().split()) assert 1 <= a <= n assert 1 <= b <= n graph[a - 1].append(b - 1) graph[b - 1].append(a - 1) if n == 1: print(1) exit() leaf_cnt = len(list(filter(lambda x: len(x) == 1, graph[1:]))) print(combination(n - 1, leaf_cnt - 1) * combination(n - 2, leaf_cnt - 1) // leaf_cnt % mod) if __name__ == "__main__": main()