For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.

For example, 4-rounding of 375 is 375·80 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.

Write a program that will perform the k-rounding of n.

Input

The only line contains two integers n and k (1 ≤ n ≤ 109, 0 ≤ k ≤ 8).

Output

Print the k-rounding of n.

Examples

Input

375 4


Output

30000


Input

10000 1


Output

10000


Input

38101 0


Output

38101


Input

123456789 8


Output

12345678900000000
a=input()
k = ''
n = ''
test = False
for i in a:
    if i == ' ':
        test = True
        continue
    if test:
        k+=i
    else:
        n+=i

k = int(k)
n = int(n)
delit = 1
del2 = 0
del5 = 0
while n>1:
    if n % 5 == 0:
        n = n // 5
        del5 += 1
    elif n % 2 == 0:
        n = n // 2
        del2 += 1
    else:
        delit = n
        n = 1
rez = delit*pow(5,max(del5, k) - k)*pow(2,max(del2, k) - k)*pow(10,k)
print(rez)
