from math import pi,cos,sin,log

ROOT = 3
roots  = [cos(2*pi/2**i) + sin(2*pi/2**i)*1j for i in range(24)]
iroots  = [cos(2*pi/2**i) - sin(2*pi/2**i)*1j for i in range(24)]

def untt(a,n):
    for i in range(n):
        m = 1<<(n-i-1)
        for s in range(1<<i):
            w_N = 1
            s *= m*2
            for p in range(m):
                a[s+p], a[s+p+m] = (a[s+p]+a[s+p+m]), (a[s+p]-a[s+p+m])*w_N
                w_N *= roots[n-i]

def iuntt(a,n):
    for i in range(n):
        m = 1<<i
        for s in range(1<<(n-i-1)):
            w_N = 1
            s *= m*2
            for p in range(m):
                a[s+p], a[s+p+m] = (a[s+p]+a[s+p+m]*w_N)/2, (a[s+p]-a[s+p+m]*w_N)/2
                w_N *= iroots[i+1]
            
def pow2(a):
    deg = 2*len(a)-2
    n = deg.bit_length()
    N = 1<<n
    a += [0.0]*(N-len(a))
    untt(a,n)
    for i in range(N): a[i] *= a[i]
    iuntt(a,n)
    return a[:deg+1]

n = int(input())
*a, = map(int,input().split())
V = [0.0j]*(10**5+1)
for ai in a: V[ai] += 1
V = pow2(V)
for ai in a: V[2*ai] -= 1
MOD = 10**9+7
ans = 1
for i,vi in enumerate(V):
    ans = ans*pow(i,int(round(vi.real))//2,MOD)%MOD
v = 0
for ai in a[::-1]:
    ans = ans*pow(ai,v,MOD)%MOD
    v += ai

L,R,r,v = 0,a[n-1],a[n-1],1e9
for ai in a[n-2::-1]:
    w = r*log(ai) + log(ai+r)
    if w < v:
        L,R,v = ai,r,w
    r = min(r,ai)
v = (L+R)*pow(L,R,MOD)%MOD
print(ans*pow(v,MOD-2,MOD)%MOD)