# Yajilin minicubes: the Hullabaloo, the Brouhaha, the Bangarang

These are three-dimensional yajilin puzzles. In each puzzle, the four squares depict the layers of a $$4\times4\times4$$ cube.

• Shade some cells on each layer. The numbered cells show how many shaded cells (not includong numbered cells) are in the direction of the arrow.
• Some numbers have been replaced with question marks to make the puzzle more difficult. Cells with question marks behave the same as other numbered cells.
• Diagonal arrows point to squares on other layers. An up-left arrow points to smaller-numbered layers, and a down-right arrow points at higher-numbered layers. For example, a down-right arrow on layer 2 points to cells in the same row and same column on layers 3 and 4.
• Shaded cells cannot be adjacent to another shaded cell (even those on different levels). The shaded cells are allowed to touch the numbered cells, however.
• Unshaded unnumbered cells on each layer are all adjacent to one another in 2D (i.e. each layer is treated separately).
• Make a single loop in 3D space which goes through every unshaded, unnumbered cell.

• What is a '?' ?
– JMP
Aug 9, 2019 at 6:52
• Oops, that was missing from the description. Added now, sorry about that.
– Jafe
Aug 9, 2019 at 6:54
• "Unshaded cells on each layer are all connected in 2D (i.e. each layer is treated separately)." does that include numbered cells? Aug 9, 2019 at 7:22
• "The numbered cells show how many shaded cells are in the direction of the arrow." - does that include numbered cells, or only user-shaded cells? Aug 9, 2019 at 7:40
• @Birjolaxew The unshaded cells are all connected to each other by placement, they do not have to be connected by a line. The line can leave and enter a layer as often as it wants.
– w l
Aug 9, 2019 at 8:23