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
function zeros(num) {
    var z = 1;
    while (num % 10 === 0) {
        z *= 10;
        num /= 10;
    }

    return z;
}



var inp = readline().split(' '), n = parseInt(inp[0]), k = Math.pow(10, parseInt(inp[1])), x = n, zerosx = zeros(x);

while (zerosx < k) {
    if ((x / zerosx) % 10 === 5) {x *= 2}
    else if (((x / zerosx) % 10) % 2 == 0) {x *= 5}
    else {x *= 10}
    
    zerosx = zeros(x)
}

print(x);