Logic Masters Deutschland e.V.

Years ago in the CTC server, there was a small trend of making "One Box" puzzles. I came up with this Parity Insanity ruleset to raise the difficulty of the puzzles being made back then.

The rules are as follows:

• One Box: Place the digits 1-9 once each into the grid.
• Parity Insanity (Rule 1 does NOT apply to Puzzle 2 and Rule 2 does NOT apply to Puzzle 1)
  1. Even digits must not be orthogonally adjacent to each other.
  2. Orthogonally adjacent digits must not be in a 1:2 ratio.
  3. Within cages, add all the even digits together and all the odd digits together (if there are none, the sum is 0). The value in the top-left corner of a cage indicates the difference between the two sums inside it.
  4. Along arrows, add all the even digits together and all the odd digits together (if there are none, the sum is 0). The value in a circle indicates the difference between these two sums along arrows that extend from it. If an arrow branches, that means there are separate, overlapping arrows.

Click on the images or text to solve. Alternatively, you can solve all four at once using this link: SudokuPad. Have fun solving!