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, input().split())
temp = n
count5 = 0
count2 = 0
while temp % 5 == 0:
    temp //= 5
    count5 += 1
while temp % 2 == 0:
    temp //= 2
    count2 += 1
#print(count5, count2)
if count5 < count2:
    n *= 5 ** min(- count5 + count2, abs(k - count5))
elif count5 > count2:
    n *= 2 ** min(- count2 + count5, abs(k - count2))
print(n * 10 ** max(0, k - max(count2, count5)))