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
a, b = map(int, input().split())
twos = 0
fives = 0
t = a
while not (t%2):
    t //= 2
    twos += 1
t = a
while (t%5 == 0):
    t //= 5
    fives += 1
if fives > twos:
    b -= min(twos,b)
    fives -= twos
    print(a*(2**min(b,fives))*10**(b-min(b,fives)))
else:
    b -= min(fives,b)
    twos -= fives
    print(a*(5**min(b,twos))*10**(b-min(b,twos)))
