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 = [int(i) for i in input().split(" ")]
a = n*10**k
a2 = a
a5 = a
count2a = 0
count5a = 0
while a2%2 == 0:
    a2 /= 2
    count2a += 1
while a5%5 == 0:
    a5 /= 2
    count5a += 1

# n2 = n
# n5 = n
# count2 = 0
# count5 = 0
# while n2%2 == 0:
#     n2 /= 2
#     count2 += 1
# while n5%5 == 0:
#     n5 /= 5
#     count5 += 1

#print(a)
#print(count2a)
#print(count5a)

while a % 10**k == 0 and a % n == 0:
    a = a/2
    count2a -= 1
if a % 10**k != 0 or a % n != 0:
    a *= 2

#print(a)

while a % 10**k == 0 and a % n == 0:
    a = a/5
    count5a -= 1
if a % 10**k != 0 or a % n !=0:
    a *= 5

print(int(a))
# while n% 10**k != 0:
#     if count2 > count5:
#         n *= 5
#         count5 += 1
#     if count2 < count5:
#         n *= 2
#         count2 += 1
#     if count2 == count5:
#         n *= 10


