Logic Masters Deutschland e.V.

I was thinking whether I can construct an ambiguity puzzle which makes use of all 7 sudoku variants that appear as lines on the grid. It worked out very nicely and I got this puzzle. I hope you enjoy it. Your comments and ratings are highly appreciated!

RULES: Normal sudoku rules apply. Each grey line obeys exactly 2 of the 7 rules listed below, and each rule is used on the grey lines at least once (i.e. one of them is used twice and the others are used once). The grey circle contains an odd digit.

Solve on CTC app

Solve on f-puzzles

1) Arrow rule: The digit on one end of the line is equal to the sum of the remaining digits on the line. Digits may repeat on these lines if allowed by the other rules.

2) Between line rule: The digits on the line (except for the endpoints) must be strictly between the digits on the endpoints. Digits may repeat on these lines if allowed by the other rules.

3) German whispers line rule: Adjacent digits along the line must have a difference of at least 5. Digits may repeat on these lines if allowed by the other rules.

4) Lockout line rule: Digits on the endpoints of the line must have a difference of at least 4, and the remaining digits on the line cannot be between or equal to the digits on the endpoints. Digits may repeat on these lines if allowed by the other rules.

5) Palindrome rule: Digits along the line read the same from either direction.

6) Renban line rule: The line contains a set of consecutive, non-repeating digits in any order.

7) Thermometer rule: Digits strictly increase from one end to the other end of the line.