## https://yukicoder.me/problems/no/2581 def main(): M = int(input()) G = list(map(int, input().split())) H = list(map(int, input().split())) Q = int(input()) kx = [] for _ in range(Q): kx.append(list(map(int, input().split()))) # 半分全列挙 N = 28 M1 = N // 2 M2 = N - M1 k_map = [[] for _ in range(M1 + 1)] for bit in range(2 ** M1): someyosino_count = 0 x = 0 for i in range(M1): if bit & (1 << i) > 0: someyosino_count += 1 x += G[i] else: x += H[i] x %= M k_map[someyosino_count].append(x) for i in range(M1 + 1): k_map[i].sort() k_map2 = [[] for _ in range(M2 + 1)] for bit in range(2 ** M2): someyosino_count = 0 x = 0 for i in range(M2): if bit & (1 << i) > 0: someyosino_count += 1 x += G[M1 + i] else: x += H[M1 + i] x %= M k_map2[someyosino_count].append(x) for k0, x in kx: count = 0 for k2 in range(min(M2, k0) + 1): k1 = k0 - k2 if k1 > M1: continue for x2 in k_map2[k2]: a_flg = False if x2 <= x: # and条件 a_flg = True lower_x1 = x - x2 upper_x1 = M - 1 - x2 else: # or条件 lower_x1 = (x - x2) % M upper_x1 = M - 1 - x2 # lower_x1についての2部探索 l_x = len(k_map[k1]) if k_map[k1][-1] >= lower_x1: low = 0 high = len(k_map[k1]) - 1 while high - low > 1: mid = (low + high) // 2 if k_map[k1][mid] >= lower_x1: high = mid else: low = mid if k_map[k1][low] >= lower_x1: l_x = low else: l_x = high u_x = -1 if k_map[k1][0] <= upper_x1: low = 0 high = len(k_map[k1]) - 1 while high - low > 1: mid = (low + high) // 2 if k_map[k1][mid] <= upper_x1: low = mid else: high = mid if k_map[k1][high] <= upper_x1: u_x = high else: u_x = low if a_flg: count += u_x - l_x + 1 else: count += len(k_map[k1]) - l_x + u_x + 1 print(count) if __name__ == "__main__": main()