N = int(input()) A = [int(a) for a in input().split()] mod = 10**9+7 L = [0]*N r = 0 num = 1 for i in range(N): while r < N and num*A[r] < 10**9: num *= A[r] if r > i: L[r] -= 1 r += 1 if r < N: L[r] -= 1 L[i] += r-i num //= A[i] else: l = i break for i in range(N-1): L[i+1] += L[i] for i in range(l, N): L[i] += (i-l+1)*(N-i) + i-l ans = 1 for i in range(N): ans *= pow(A[i], L[i], mod) ans %= mod print(ans)