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
import math

n, k = list(map(int, input().split()))
tmp = n
z = 0
while n % 10 == 0:
    n = n // 10
    z += 1
k = k - z

if k <= 0:
    print(tmp)
else:
    last = n % 10
    v = int(math.pow(10, k))
    if last == 5:
        i = 2
        cur = n
        while cur % v != 0:
            cur = n * i
            i += 2
        print(int(cur * math.pow(10, z)))
    elif last % 2 == 1:
        print(tmp * v)
    else:
        i = 5
        cur = n
        while cur % v != 0:
            cur = n * i
            i += 5
        print(int(cur * math.pow(10, z)))

  			 			  	   			  		 	  	 	