import sys input = lambda: sys.stdin.readline().rstrip() ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) INF = 2 ** 63 - 1 mod = 10 ** 9 + 7 class Matrix(): def __init__(self, r, c, mod = 10 ** 9 + 7): self.r = r self.c = c self.A = [[0] * self.c for _ in range(self.r)] self.mod = mod def makeone(self, r = 1): A = Matrix(r, r, self.mod) for i in range(r): A[i, i] = 1 return A def __getitem__(self, key): rnow, cnow = key return self.A[rnow][cnow] def __setitem__(self, key, value): rnow, cnow = key self.A[rnow][cnow] = value def __add__(self, other): assert self.r == other.r and self.c == other.c ret = Matrix(self.r, self.c) for i in range(self.r): for j in range(self.c): ret[i, j] = self[i, j] + other[i, j] ret[i, j] %= self.mod return ret def __sub__(self, other): assert self.r == other.r and self.c == other.c ret = Matrix(self.r, self.c) for i in range(self.r): for j in range(self.c): ret[i, j] = self[i, j] - other[i, j] ret[i, j] %= self.mod return ret def __mul__(self, other): if isinstance(other, int): ret = Matrix(self.r, self.c) for i in range(self.r): for j in range(self.c): ret[i, j] = self[i, j] * other ret[i, j] %= self.mod assert self.c == other.r ret = Matrix(self.r, other.c) for i in range(self.r): for j in range(self.c): for k in range(other.c): ret[i, k] += self[i, j] * other[j, k] ret[i, k] %= self.mod return ret def pow(self, x): assert isinstance(x, int) and x >= 0 assert self.r == self.c if x == 0: return self.makeone(self.c) else: ret = self.makeone(self.c) now = self while x > 0: if x % 2: ret *= now now *= now x //= 2 return ret def augment(self, other): assert self.r == other.r X = Matrix(self.r, self.c + other.c, mod = self.mod) for i in range(self.r): for j in range(self.c): X[i, j] = self[i, j] for j in range(other.c): X[i, j + self.c] = other[i, j] return X def diminish(self, c): X = [] for i in range(self.r): X.append((self.A[i][:c])) return Matrix(self.r, c, mod = self.mod, A = X) def hakidashi(self): for i in range(self.c): for j in range(i + 1, self.r): if self[j, i] != 0: for k in range(self.c): self[j, k], self[i, k] = self[i, k], self[j, k] break for i in range(self.r): for j in range(self.c): if self[i, j] != 0: break else: continue K = pow(self[i, j], self.mod - 2, self.mod) for to in range(self.c): self[i, to] *= K self[i, to] %= self.mod for i2 in range(self.r): if i == i2: continue time = self[i2, j] for j2 in range(self.c): self[i2, j2] -= time * self[i, j2] self[i2, j2] %= self.mod return self def inv(self): assert self.c == self.r one = Matrix.makeone(r = self.r) new = self.augment(one) new.hakidashi() for i in range(self.r): for j in range(self.c): if i == j: if new[i, j] != 1: return 0, new else: if new[i, j] != 0: return 0, new X = Matrix(self.r, self.c) for i in range(self.r): for j in range(self.c): X[i, j] = new[i, j + self.c] return 1, X def lineareq(self, b): assert self.r == b.r assert b.c == 1 Y = self.augment(b) Y = Y.hakidashi() B = [[0] * self.c for _ in range(self.c)] ans = [0] * self.c flag = [0] * self.c for i in range(self.r): j = 0 while j < self.c and Y[i, j] == 0: j += 1 if j == self.c: if Y[i, -1] != 0: return None, None continue flag[j] = 1 ans[j] = Y[i, -1] for k in range(j + 1, self.c): if Y[i, k] % self.mod != 0: B[k][j] = (-Y[i, k])% self.mod flag[k] = -1 for i in range(self.c): if flag[i] != 1: B[i][i] = 1 B=[B[i] for i in range(self.c) if flag[i] != 1] return ans,B def rank(self): new = self.hakidashi() ret = 0 for i in range(self.r): for j in range(self.c): if new[i, j] != 0: ret += 1 break return ret def det(self): ret = 1 a = self for i in range(self.r): if a[i, i] == 0: for j in range(i + 1, self.r): if a[j, i]: break else: return 0 for k in range(self.r): a[j, k], a[i, k] = a[i, k], a[j, k] ret *= -1 ret %= self.mod for j in range(self.r): if i < j: buf = a[j, i] * (pow(a[i, i], self.mod - 2, self.mod)) buf %= self.mod for k in range(self.r): a[j, k] -= a[i, k] * buf a[j, k] %= self.mod for i in range(self.r): ret *= a[i, i] ret %= self.mod return ret def print(self): for v in self.A: print(*v) a, b = mi() q = ii() def f(k): A = Matrix(2, 2, mod) A[0, 0] = a A[0, 1] = b A[1, 0] = 1 A = A.pow(k) V = Matrix(2, 1, mod) V[0, 0] = V[1, 0] = 1 A *= V return A[1, 0] % mod for _ in range(q): x = ii() if x % 2 == 0: ans = f(x // 2) + f(x // 2 + 1) else: ans = f(x // 2) + f(x // 2 + 1) + f(x // 2 + 2) ans %= mod print(ans)