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
n,k = map(int,raw_input().split(" "))
m =n
cnt = 0
while n%10 == 0:
    n/=10
    cnt += 1
if cnt>=k:
    print m
    exit()

while cnt<k:
    if (n%10) == 5:
        n*= 2
    else:
        n*= 5
    while n%10 == 0:
        n/=10
        cnt += 1

print str(n)+"0"*k

	   			   					  	  	 			  		