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Score : $200$ points

### 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.