Arithmetic Progression
(Published on 15. May 2023, 19:56 by Prof.Dori)
Arithmetic Progression
Rules:
Normal sudoku rules apply. Each of the digit 5 on the grid has exactly one digit N around it (orthogonally and diagonally), N must be determined by the solver. Each box is identical to exactly two other boxes (which boxes are identical must be determined by the solver). Numbers of the sum of each cage forms an arithmetic progression in some order (an arithmetic progression is when each two adjacent numbers differ by the same number, e.g. 1,7,13,19,25,31,37,43 is an arithmetic progression since it differs by 6, also not neccesarily the order of cages represent that order of the arithmetic progression). Exactly one of the cages starting from the bottom being the lowest digit are consecutive digits. And finally each two cells orthogonally connected on a cage can't differ by 4.
P.S. The rule of not having difference of 4 for the cells orthogonally connect applies only if they are on the same cage. And also for the rule of 'exactly one of the cages starting from the bottom being the lowest digit are consecutive digits' means that e.g. if the cage 5 is that cage it could be 12345 or 45678 etc, in that order from bottom to top and it means only for the cages with at least 2 cells.
Solution code: Row 4 followed by row 5.
Comments
on 7. July 2023, 16:08 by Prof.Dori
Clarifying the rules.
on 16. May 2023, 09:48 by StefanSch
Die Regeln passen nicht zur akzeptierten Lösung. Der Satz "Exactly one of the cages starting from the bottom being the lowest digit are consecutive digits." muss so interpretiert werden, dass es außer dem Käfig in R9C1 genau einen Käfig gibt, dessen Zahlen von unten nach oben eine aufsteigende Folge aufeinanderfolgender Zahlen bilden (z.B 2-3-4-5-6, aber nicht 2-4-3-5-6 oder 2-3-4-7-9).
