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, i = list(map(int, input().split()))
pi = pow(10, i)
x = n
p2 = 0
p5 = 0
while(x % 2 == 0):
    x = x >> 1
    p2 += 1
while(x % 5 == 0):
    x = x / 5
    p5 += 1
x = int(x) * pi
p2 -= i;
p5 -= i;
if p2 > 0:
    x *= 1 << p2
if p5 > 0:
    x *= pow(5, p5)
print(x)
