# Cracker Barrel Triangle Puzzle

#### Solution generator

Valid entries for the empty slot are 1, 2, 4, and 5. All others are either a mirror image
of that starting position or can be duplicated by rotating the triangle 120 degrees.

The starting solution number depends on the empty slot that was chosen since the number of
solutions vary depending upon the empty slot. The maximums are:

1 |
29760 |

2 |
14880 |

4 |
85258 |

5 |
1550 |

The number of solutions must be at least 1 but no greater than 100.