# Grid Magic

Brandon Greg Jr. the number theorist and combinatorist is
working on prime numbers in grids. An $n$ by $m$ grid of digits ($0$ to $9$) is called a *superprime
grid* if every non-empty prefix of every row and column
(including the full rows and columns) are primes when
concatenated.

For example, the following is a superprime grid:

$2$ |
$3$ |
$3$ |

$3$ |
$1$ |
$1$ |

$3$ |
$1$ |
$7$ |

This is because $2$, $23$, $233$, $3$, $31$, $311$, and $317$ are all prime.

Brandon wants to count the number of $n$ by $m$ superprime grids.

## Input

The only line of input contains two space-separated numbers $n$ and $m$ ($1\le n, m\le 8$).

## Output

Output the number of $n$ by $m$ superprime grids.

Sample Input 1 | Sample Output 1 |
---|---|

1 1 |
4 |

Sample Input 2 | Sample Output 2 |
---|---|

3 2 |
5 |