Logic Masters Deutschland e.V.

This is part 2 in a series of related puzzles. You can see all the puzzles in this series on my website at kammer.xyz/blog/sudoku/photocopied.

You can also visit the logic-masters pages for the other puzzles in the series:

• Photocopied Series #1: Pi
• Photocopied Series #3: Lightning
• Photocopied Series #4: Group Theory

You have been gifted a large collection of puzzles from a friend. You sift through them looking for interesting ones and find photocopies of puzzles from an old book of puzzles, filed under "puzzles with no given digits". The original book is nowhere to be found and the photocopies are in black and white.

In this specific puzzle, to make matters worse, in box 3, a coffee stain has covered 3 cells. You suspect there may have been clues under the stain, but you can't make them out. At least you can make out that there are no lines connecting any of those cells to any of the adjacent uncovered cells (e.g. there is no line connecting R1C8 to R1C7).

You can see the original photocopies on the webpage linked above, but the images are too large to upload here

You assume the original had a unique solution, but can you still reconstruct that solution? The rules below are listed for the entire section of puzzles, so you can't be sure whether all three line types actually exist in any of the puzzles.

• Normal sudoku rules still apply.
• Renban: Digits along a purple line form a set of consecutive digits in any order.
• German whispers: Adjacent digits along a green line have a difference of at least 5 (2 for 4x4 puzzles).
• Equal-sum lines: Box borders divide a blue line into multiple segments which have the same sum. Different lines may have different sums.

Your goal is to figure out what the original solution to each puzzle was. I have transcribed this puzzle and put it on sudokupad for your ease of solving!