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')]
for _ in range(1, 21): N += [N[-1]**2%m]
L = np.eye(1025, 2, 0, 'i8')
for i in range(10):
	L[1+2**i:1+2**(i+1)] = L[1:1+2**i] * N[i] % m
H = np.eye(2, 2048, -1, 'i8')
for i in range(11):
	H[:, 2**i:2**(i+1)] = N[10+i] * H[:, :2**i] % m
T = L @ H[:, :2*10**6//1024+1] % m
c01 = np.arange(2)[:, None]
C = M @ T[q%1024+c01, q//1024] % m
print(*((q*C[1]+C[0])%m), sep='\n')