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≤N≤105
• $1\le K\le 20$

Sample Input 1

2021 4

Sample Output 1

50531

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

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.