class LazySegTree(): #区間和のセグメント木、要素ls def __init__(self,ls): self.default = 0 self.func = (lambda x, y: x + y) self.N = len(ls) self.K = (self.N-1).bit_length() self.N0 = 1 << self.K self.dat = [self.default]*(2**(self.K+1)) self.lazy = [0]*(2**(self.K+1)) #遅延評価 for i in range(self.N): #葉の構築 self.dat[2**self.K+i] = ls[i] self.build() def build(self): for j in range(self.N0-1,0,-1): self.dat[j] = self.func(self.dat[j<<1],self.dat[j<<1|1]) #親が持つ条件 def leafvalue(self,x): #x番目の値を出力 return self.query(x,x+1) def update_add(self,x,y): #x番目にyを足す return self.updatel_add(x,x+1,y) def gindex(self,l, r): #伝播するインデックス列挙 L = l + self.N0; R = r + self.N0 lm = (L // (L & -L)) >> 1 rm = (R // (R & -R)) >> 1 lsindex = [] while L < R: if R <= rm: lsindex.append(R) if L <= lm: lsindex.append(L) L >>= 1; R >>= 1 while L: lsindex.append(L) L >>= 1 return lsindex def propagates(self,ids): for i in reversed(ids): v = self.lazy[i] if not v: continue self.lazy[i<<1] += v//2; self.lazy[i<<1|1] += v//2 self.dat[i<<1] += v//2; self.dat[i<<1|1] += v//2 self.lazy[i] = 0 def updatel_add(self,l, r, x):#区間にyを足す self.propagates(self.gindex(l, r)) L = self.N0 + l R = self.N0 + r ii = 0 while L < R: if L & 1: self.lazy[L] += x*(2**ii) self.dat[L] += x*(2**ii) L += 1 if R & 1: R -= 1 self.lazy[R] += x*(2**ii) self.dat[R] += x*(2**ii) L >>= 1 R >>= 1 ii += 1 for i in self.gindex(l, r): self.dat[i] = self.func(self.dat[i<<1],self.dat[i<<1|1])+self.lazy[i] def query(self,l, r): self.propagates(self.gindex(l, r)) L = self.N0 + l R = self.N0 + r vL = self.default vR = self.default while L < R: if L & 1: vL = self.func(vL,self.dat[L]) L += 1 if R & 1: R -= 1 vR = self.func(self.dat[R],vR) L >>= 1 R >>= 1 return self.func(vL,vR) def modPow(a,n,mod):#繰り返し二乗法 a**n % mod if n==0: return 1 if n==1: return a%mod if n & 1: return (a*modPow(a,n-1,mod)) % mod t = modPow(a,n>>1,mod) return (t*t)%mod N = int(input()) lsA = list(map(int,input().split()))+[1] mod = 10**9+7 if 0 in lsA: print(0) exit() rh = [0]*(N) l = 0 r = 0 val = 1 while l < N: while val < 10**9 and r < N: val *= lsA[r] if val >= 10**9: val //= lsA[r] break if r == N: break r += 1 rh[l] = r val //= lsA[l] l += 1 LSG = LazySegTree([0]*(N+1)) for i in range(N): LSG.update_add(i, rh[i]-i) LSG.updatel_add(i+1, rh[i]+1, -1) ll = [LSG.leafvalue(i) for i in range(N+1)] for i in range(1,N+1): ll[i] += ll[i-1] ans = 1 for i in range(N): ans *= modPow(lsA[i],ll[i],mod) ans %= mod print(ans)