# Home

Score : $300$ points

### Problem Statement

Given positive integers $N$ and $M$, find the remainder when $\lfloor \frac{10^N}{M} \rfloor$ is divided by $M$.

What is $\lfloor x \rfloor$? $\lfloor x \rfloor$ denotes the greatest integer not exceeding $x$. For example:
• $\lfloor 2.5 \rfloor = 2$
• $\lfloor 3 \rfloor = 3$
• $\lfloor 9.9999999 \rfloor = 9$
• $\lfloor \frac{100}{3} \rfloor = \lfloor 33.33... \rfloor = 33$

### Constraints

• $1 \leq N \leq 10^{18}$
• $1 \leq M \leq 10000$

### Input

Input is given from Standard Input in the following format:

$N$ $M$

1 2

### Sample Output 1

1

We have $\lfloor \frac{10^1}{2} \rfloor = 5$, so we should print the remainder when $5$ is divided by $2$, that is, $1$.

2 7

0

### Sample Input 3

1000000000000000000 9997

9015