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# Bunch of Logic Puzzles

Feels like I’ve seen this name before, but I can’t quite put my finger on it.

There are 12 houses; each house has a rooftop that is either black or white. The houses are arranged like this:

- Exactly half of the houses are black.
- Every row has a unique number of white houses.
- All black houses are orthogonally touching, except for one.
- The house in the rightmost column and middle row is white.
- Exactly half of the black houses are in the right three columns.
- The left half has less white houses than the right half.
- There is exactly one column with only black houses.
- The bottom row has the most white houses.
- All black houses on the right half are diagonally adjacent.

1 | 1 | 0 | |||

0 | 0 | ||||

0 | |||||

0 | 0 | 1 | 1 | ||

0 | 0 | ||||

0 | 0 |

3 | 1 | 1 1 | 1 | |
---|---|---|---|---|

3 | ||||

1 1 | ||||

1 1 |

1 | |||||

1 | 2 | ||||

2 | 1 | ||||

1 | |||||

1 | 3 | 1 | |||

1 |

A | B | C | D |

E | F | G | H |

I | J | K | L |

- C ⊻ D = A
- C ⊻ I = A
- C ∧ D = B
- C ⊻ ¬D = B
- B ⊻ A = C
- D ∨ A = D
- K ⊻ H = F
- J ∨ G = G
- L ∧ K = H
- E ⊻ A = I
- G ⊻ J = J
- E ∧ I = K
- F ⊻ H = L