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Score : $300$ points

### Problem Statement

We have an integer $N$.

Print an integer $x$ between $N$ and $10^{13}$ (inclusive) such that, for every integer $y$ between $2$ and $N$ (inclusive), the remainder when $x$ is divided by $y$ is $1$.

Under the constraints of this problem, there is always at least one such integer $x$.

### Constraints

• All values in input are integers.
• $2 \leq N \leq 30$

### Input

Input is given from Standard Input in the following format:

$N$


### Output

Print an integer $x$ between $N$ and $10^{13}$ (inclusive) such that, for every integer $y$ between $2$ and $N$ (inclusive), the remainder when $x$ is divided by $y$ is $1$.

If there are multiple such integers, any of them will be accepted.

### Sample Input 1

3


### Sample Output 1

7


The remainder when $7$ is divided by $2$ is $1$, and the remainder when $7$ is divided by $3$ is $1$, too.

$7$ is an integer between $3$ and $10^{13}$, so this is a desirable output.

### Sample Input 2

10


### Sample Output 2

39916801