External Sudoku
Die Anregung zu diesem Rätsel kommt von Sudoku Cup #5
Solve online in Penpa+ (thx Nick Sirnov!)
Platziere die Ziffern von 1 bis 9 in jede Zeile, jede Spalte und jeden 3x3-Block. Schreibe außerdem in die grauen Kästchen so die Ziffern 1-7, dass keine Ziffer sich in einer Kante des grauen Quadrates wiederholt. Die Differenz von Ziffern in jedem Paar diagonal benachbarter grauer Kästchen muss mindestens 2 betragen.
Lösungscode: Zeile 1, gefolgt von Spalte 1.
am 10. August 2022, 06:12 Uhr von Richard
Added link and tag for online solving. Thx Nick!
am 29. August 2021, 20:40 Uhr von Nick Smirnov
Penpa:
https://git.io/JEoxP
am 29. August 2021, 13:45 Uhr von Nick Smirnov
@Richard, great, thank you. It seems that I completely misunderstood the rules, lol. I confused the shaded square with a shaded cell (the mistake that even native English speakers frequently do) and thought that each shaded CELL must have different orthogonally adjacent neighbours. That explains why I broke the puzzle and backtracking didn't detect any mistakes.
am 29. August 2021, 12:39 Uhr von Nick Smirnov
@Richard, could you, please, explain me what does this part of the rules mean? No number is repeated within an edge of the shaded square.
Does it mean that, for example, R3C2 must be different from R4C1? And that R4C1 must be different from a digit in the shaded square outside of the grid which has a common edge with R4C1?
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Sure!
See the grey cells as a diamond.
Each of the four diagonal sides of the diamond contains the digits 1-7 exactly once. The difference between two (diagonally) neighbouring digits on the sides of the diamond must be at least two. (I.e. non-consecutive). This rule doesn't affect digits in white cells, also not the ones that touch the diamond shape.
For example: the two remaining digits on the right side outside the grid may not be 3, 4 or 5.
am 31. Januar 2017, 13:29 Uhr von marcmees
nicely constructed