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
def Gauss(g):
    w=g
    a=0
    b=0
    while w%2==0:
        a+=1
        w=w // 2
    while w%5==0:
        b+=1
        w=w // 5
    return(a,b)             
n,k=input().split()
n=int(n)
k=int(k)

d,e=Gauss(n)
if (d>=k) and (e>=k):
    print(n)
    exit()
if (d<k) and (e>=k):
    while d<k:
        n*=2 
        d+=1
    print(n)
    exit()    
if (e<k) and (d>=k):
    while e<k:
        n*=5
        e+=1
    print(n)
    exit()    
if (e<k) and (d<k):
    while e<k:
        n*=5
        e+=1
    while d<k:
        n*=2 
        d+=1
    print(n)
    exit()