102001: [AtCoder]ABC200 B - 200th ABC-200

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.