from collections import defaultdict, deque, Counter from heapq import heapify, heappop, heappush import math from copy import deepcopy from itertools import combinations, permutations, product, combinations_with_replacement from bisect import bisect_left, bisect_right import sys def input(): return sys.stdin.readline().rstrip() def getN(): return int(input()) def getNM(): return map(int, input().split()) def getList(): return list(map(int, input().split())) def getListGraph(): return list(map(lambda x:int(x) - 1, input().split())) def getArray(intn): return [int(input()) for i in range(intn)] mod = 10 ** 9 + 7 MOD = 998244353 # sys.setrecursionlimit(10000000) inf = float('inf') eps = 10 ** (-15) dy = [0, 1, 0, -1] dx = [1, 0, -1, 0] ############# # Main Code # ############# def array_cnt(ar1, ar2, m): h = len(ar1) w = len(ar2[0]) row = ar1 col = [] for j in range(w): opt = [] for i in range(len(ar2)): opt.append(ar2[i][j]) col.append(opt) res = [[[0, 0] for i in range(w)] for i in range(h)] for i in range(h): for j in range(w): cnt = 0 for x, y in zip(row[i], col[j]): cnt += x * y res[i][j] = cnt res[i][j] %= m return res """ R, G, B 操作1,操作2,操作1... 操作1 [[1, 0, A], [0, 1, B], [0, 0, 1]] R, G, B + (R + G) 操作2 [[0, 1, 0], [0, 0, 0], [1, 0, 0]] これをmixする """ A, B = getNM() odd = [[1, 0, A], [0, 1, B], [0, 0, 1]] even = [[0, 1, 0], [0, 0, 0], [1, 0, 0]] mix = array_cnt(odd, even, mod) T = getN() k = 10 ** 20 # たくさん! logk = k.bit_length() dp = [[[0] * 3 for j in range(3)] for i in range(logk)] dp[0] = mix for i in range(1, logk): dp[i] = array_cnt(dp[i - 1], dp[i - 1], mod) for _ in range(T): t = getN() mi_t = t // 2 ans = [[1, 1, 0]] for i in range(mi_t.bit_length()): if mi_t & (1 << i): ans = array_cnt(ans, dp[i], mod) if t % 2 == 1: ans = array_cnt(ans, odd, mod) print(sum(ans[0]) % mod)