Logic Masters Deutschland e.V.

This puzzle was uses the excellent constraint invented in Lake’s puzzle Ace is high. It also uses the delightful difference lines by the masterful Marty Sears, as seen in Different Differences. I hope you enjoy it!

Tracking the differences along the long lines can be tricky. I personally used centermarks for candidates and cornermarks for differences on those lines. There is also a solving technique for symmetrical puzzles which involves selecting one of the potential states and ignoring the given asymmetry until the end. I have no objection to this puzzle being solved that way, though the puzzle can be definitely solved without using it.

Rules:

• Sudoku: Place the digits 1-9 once each in every row, column, and 3x3 box.
• Aces High?: The digit 1 counts as either value 1 or value 10 for each dot and line segment in the grid. Any digit 1 can simultaneously have the value of 1 and 10 for different dots or line segments.
• Different Differences: Every pair of adjacent digits on a peach line must differ by a different amount. If two digits are joined by more than one line segment, each segment must have a different difference.
• For example, if there's a 3 next to a 5 on the line, there can't be a 7 next to a 9 anywhere on the same line. However, if allowed by other rules, a 1 could be next to two 4's, counting as a 1 for one and a 10 for the other.
• Kropki Pairs: Digits separated by a black dot must be in a 2:1 ratio. Not all black dots are necessarily given.

Streamers have permission to use this puzzle.

Play in SudokuPad