# https://yukicoder.me/problems/no/1667 class CombinationCalculator: """ modを考慮したPermutation, Combinationを計算するためのクラス """ def __init__(self, size, mod): self.mod = mod self.factorial = [0] * (size + 1) self.factorial[0] = 1 for i in range(1, size + 1): self.factorial[i] = (i * self.factorial[i - 1]) % self.mod self.inv_factorial = [0] * (size + 1) self.inv_factorial[size] = pow(self.factorial[size], self.mod - 2, self.mod) for i in reversed(range(size)): self.inv_factorial[i] = ((i + 1) * self.inv_factorial[i + 1]) % self.mod def calc_combination(self, n, r): if n < 0 or n < r or r < 0: return 0 if r == 0 or n == r: return 1 ans = self.inv_factorial[n - r] * self.inv_factorial[r] ans %= self.mod ans *= self.factorial[n] ans %= self.mod return ans def calc_permutation(self, n, r): if n < 0 or n < r: return 0 ans = self.inv_factorial[n - r] ans *= self.factorial[n] ans %= self.mod return ans def main(): N, MOD = map(int, input().split()) # サイズn の全域木を求める all_tree_size = [0] * (N + 1) for n in range(1, N + 1): if n in (1, 2): all_tree_size[n] = 1 else: x = pow(n, n -2 , MOD) y = pow(n - 1, n - 3, MOD) y = pow(y, MOD - 2, MOD) ad = (x * y) % MOD all_tree_size[n] = (all_tree_size[n - 1] * ad) % MOD all_tree_size[n] %= MOD dp = [[0] * N for _ in range(N + 1)] dp[N][0] = 1 combi = CombinationCalculator(N, MOD) for n in reversed(range(N + 1)): for m in range(N): for l in range(n): use_node_num = 1 + l use_edge_num = l # 残りの超点数 rest_node_num = n - (use_node_num) if m + use_edge_num < N: ans =(all_tree_size[use_node_num] * dp[n][m]) % MOD ans *= combi.calc_combination(n - 1, l) ans %= MOD dp[rest_node_num][m + use_edge_num] += ans dp[rest_node_num][m + use_edge_num] %= MOD for i in range(N): print(dp[0][i]) if __name__ == "__main__": main()