Score : $200$ points

## 问题描述

给定一个整数 $N$。

对其执行以下操作 $K$ 次，并打印出最终的整数。

-   如果 $N$ 是 $200$ 的倍数，则将它除以 $200$。
-   否则，将 $N$ 视为字符串并在其末尾添加 $200$。
    -   例如，$7$ 将变为 $7200$，而 $1234$ 将变为 $1234200$。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

You are given an integer $N$.
Do the following operation $K$ times on it and print the resulting integer.

• If $N$ is a multiple of $200$, divide it by $200$.
• Otherwise, see $N$ as a string and append $200$ to the end of it.
  • For example, $7$ would become $7200$ and $1234$ would become $1234200$.

Constraints

• All values in input are integers.
• $1 \le N \le 10^5$
• $1 \le K \le 20$

Input

Input is given from Standard Input in the following format:

$N$ $K$

Output

Print the answer as an integer.

Sample Input 1

2021 4

Sample Output 1

50531

Applying the operation on $N=2021$ results in $N$ becoming $2021 \rightarrow 2021200 \rightarrow 10106 \rightarrow 10106200 \rightarrow 50531$.

Sample Input 2

40000 2

Sample Output 2

1

Sample Input 3

8691 20

Sample Output 3

84875488281

The answer may not fit into the signed $32$-bit integer type.

update @ 2024/3/10 09:11:23