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
#Codeforces: A-858. K-rounding
import math

def main():
	inp = input().split()
	n = int(inp[0])
	k = int(inp[1])
	number_of_twos = 0
	number_of_fives = 0
	tens = 0

	#Encontrar el número de 2s 
	aux_n = n
	while (aux_n%2 == 0):
		aux_n /= 2
		number_of_twos+=1

	#Encontrar el número de 5s
	aux_n = n
	while(aux_n%5 == 0):
		aux_n /= 5
		number_of_fives+=1

	while (number_of_fives > 0 and number_of_twos >0):
		tens += 1
		number_of_fives-=1
		number_of_twos-=1

	while(tens<k):
		if number_of_fives > 0:
			number_of_fives-=1
			n*= 2
		elif number_of_twos > 0:
			number_of_twos-=1
			n*=5
		else:
			n*=10
		tens+=1

	print(n)
if __name__ == "__main__":
	main()