import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = (1 << 63)-1 # inf = (1 << 31)-1 md = 10**9+7 # md = 998244353 def factors(a): if a <= 0: return [0] dd0, dd1 = [], [] for d in range(1, round(a**0.5)+1): if a%d: continue dd0.append(d) dd1.append(a//d) if dd0[-1] == dd1[-1]: dd1.pop() return dd0+dd1[::-1] def nPr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_n-com_r]%md def nCr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_r]%md*ifac[com_n-com_r]%md n_max = 1000005 fac = [1] for i in range(1, n_max+1): fac.append(fac[-1]*i%md) ifac = [1]*(n_max+1) ifac[n_max] = pow(fac[n_max], md-2, md) for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md from math import gcd k = LI() cc = LI() s = sum(cc) g = 0 for c in cc: g = gcd(g, c) ff = factors(g)[::-1] rr = [s//f for f in ff] rn = len(rr) # print(rr) # print(ff) for i in range(rn)[::-1]: for j in range(i+1, rn): if rr[j]%rr[i] == 0: ff[i] -= ff[j] # print(rr) # print(ff) ans = 0 for r, f in zip(rr, ff): p = s//r cur = 1 for c in cc: c //= p cur *= nCr(r, c) r -= c ans += cur*f%md ans %= md ans *= pow(s, md-2, md) print(ans%md)