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=input().split()
#print(n,k)
c=0
ans=int(n)
k=int(k)
t=True
while c<k:
    l=len(n)
    i=1
    c=0
    while i<=l:
        #print(n[-i])
        if n[-i]=='0':
            c+=1
            if c>=k:
                t=False
        else:
            m=int(n[-i])
            #print(m)
            break
        i+=1
    if t:
        if m%2==0:
            ans*=5
            n=str(ans)
        elif m==5:
            ans*=2
            n=str(ans)
        else:
            ans*=10
            n=str(ans)
print(n)