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A11242. k-rounding

编程题 普及/提高-

题目描述

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 $n$ .

输入格式

The only line contains two integers $n$ and $k$ ( $1<=n<=10^{9}$ , $0<=k<=8$ ).

输出格式

Print the $k$ -rounding of $n$ .

输入输出样例

输入 #1
375 4
输出 #1
30000
输入 #2
10000 1
输出 #2
10000
输入 #3
38101 0
输出 #3
38101
输入 #4
123456789 8
输出 #4
12345678900000000
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