import sys
input = sys.stdin.readline

N = int(input())
A = list(map(int, input().split()))
MOD = 10**9+7

if 0 in A:
    print(0)
    exit()
    
acc1 = [1]
acc2 = [1]

for i in range(N):
    acc1.append(acc1[-1]*pow(A[i], N-i, MOD)%MOD)
    acc2.append(acc2[-1]*A[i]%MOD)

now = 1
r = 0
ans = 1

for l in range(N):
    while r<N and now*A[r]<10**9:
        now *= A[r]
        r += 1
    
    t = acc2[r]*pow(acc2[l], MOD-2, MOD)%MOD
    ans *= acc1[r]*pow(acc1[l], MOD-2, MOD)*pow(pow(t, N-r, MOD), MOD-2, MOD)
    ans %= MOD
    
    if l==r:
        r += 1
    else:
        now //= A[l]

print(ans)