N, = map(int, input().split())
mod = 10**9+7
X = list(map(int, input().split()))
X.append(10**9+7)
j = 0
sm = 1
Cs = [0]*N
for i in range(N):
    while sm*X[j]<=10**9:
        sm *= X[j]
#        print(j, X[j], sm, j-i)
#        Cs[j] += j-i
        j += 1
    Cs[i] += j-i
    sm//=X[i]
#print(Cs)
D = []
for i in range(N):
    D.append((i*2, Cs[i]))
    D.append(((i+Cs[i])*2+1, Cs[i]))
#print(sorted(D))

D = sorted(D)
R = 1
cnt = 0
xm = 0
for idx, c in D:
    if idx%2:
        cnt -= 1
    else:
        idx //= 2
        xm -= cnt
#        print(xm, cnt, c+xm)
        R = R * pow(X[idx], c+xm, mod) % mod
        cnt += 1
        xm += c
print(R)