import sys, numpy as np
m = 10**9+7
p, _ = int(input()), input()
q = np.genfromtxt(sys.stdin, int) - 2
M = np.asarray([[-p, 0], [-p, 2]], 'i8')*pow(4+p**2, -1, m)%m
N = np.matrix([[0, 1], [1, p]], 'i8')
T = np.eye(2, 2**21, -1, 'i8')
for i in range(21):
	T[:, 2**i:2**(i+1)] = N * T[:, :2**i] % m
	N = N**2%m
C = M @ T[:, q] % m
print(*((q*C[1]+C[0])%m), sep='\n')