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())
s = str(n)
cnt = 0
for i in s[::-1]:
    if i == '0': cnt += 1
    else: break
    
n //= 10 ** cnt
if cnt >= k: print(n * 10 ** cnt)
else:
    cnt2 = 0
    cnt5 = 0
    while n % 2 == 0: 
        n //= 2
        cnt2 += 1
    while n % 5 == 0: 
        n //= 5
        cnt5 += 1
    print(n * 10 ** k * 2 ** max(0, (cnt2 - k + cnt)) * 5 ** max(0, (cnt5 - k + cnt)))