# Mixed-breeds are puzzles too!

This is a three-dimensional mixed-breed puzzle. The five squares depict the five layers of a $$5\times5\times5$$ cube. The goal is to solve the odd-numbered layers as yajilin and even-numbered layers as masyu.

Short rules:

• Shade some cells on odd-numbered layers. The numbered cells show how many shaded cells are in the direction of the arrow.
• Shaded cells cannot be adjacent to another shaded cell, but they can touch the numbered cells.
• Unshaded cells on each yajilin layer are all connected in 2D (i.e. each layer is treated separately).
• Make a single loop in 3D space which goes through every unshaded cell on odd-numbered layers, and every circle on even-numbered layers.
• A line passing through a white circle must continue straight through its cell and make a turn in the directly following or preceding cell (or both).
• A line passing through a black circle must make a turn inside that cell and continue straight for at least one cell on both sides.

Note: Feel free to use any notation you feel the most comfortable with, as long as it's properly explained. My way is to use diagonal lines to show movement between layers.

• Just a 3d Yajalin left to do :) (I was thinking about the arrows, you could use NESWUD) – JMP Aug 7 '19 at 10:23
• @JonMarkPerry Maybe I'll try that next! – Jafe Aug 7 '19 at 10:31
• Or even a 4d Masyu!!! – JMP Aug 7 '19 at 10:46