Odd/Even Magnetism
(Eingestellt am 25. Dezember 2020, 12:04 Uhr von Tom9257)
Normal sudoku rules apply. The little killer clue indicates the sum of the numbers along that diagonal. Numbers may repeat along the diagonal.
Grey cells are magnetic. Magnetic cells have a polarity. Odd magnetic poles attract even numbers and repulse other odd numbers. Conversely, even magnetic poles attract odd numbers and repulse other even numbers.
If the magnetic cell has an odd polarity, all orthogonally connected cells must be different even numbers. If the magnetic cell has an even polarity, all orthogonally connected cells must be different odd numbers. Diagonally connected magnetic cells share the same polarity (odd or even). If two or more odd polarity magnetic cells share a cell, this cell must be equal to the sum of the two or more adjacent odd magnetic poles. If two or more even polarity magnetic cells share a cell, this cell must be exactly one greater or smaller than the sum of the two or more adjacent even magnetic poles. Not all possible magnetic cells are given.
Lösungscode: Row 2, then column 3. No spaces, 18 digits.
Kommentare
am 8. August 2021, 22:14 Uhr von Hausigel_mod
Labels/Tags changed
am 16. Februar 2021, 20:34 Uhr von Krokant
It's really not that difficult (if you don't ignore the little killer clue), but a lot of fun.
am 26. Dezember 2020, 13:12 Uhr von Tom9257
Revised difficulty rating.
am 26. Dezember 2020, 12:57 Uhr von SirWoezel
Fun puzzle, but definitely not 5 stars for difficulty. My estimate would be between 2 and 3.
am 26. Dezember 2020, 10:02 Uhr von Tom9257
Corrected F-puzzles link to include the corrected rules.
am 26. Dezember 2020, 09:57 Uhr von Tom9257
I corrected the rules to state that when a cell is shared by more than two magnetic cells, it must be the sum of all the magnetic cells or one above/below of all the magnetic cells.
am 26. Dezember 2020, 09:55 Uhr von Tom9257
@TotallyNormalCat
Thank you for your comment. I am sorry for the confusion regarding the rules. I made an error in clarifying the rules. I edited them to be understandable.
I meant to write "if two or more odd/even cells share a cell, it must be the sum of all adjacent magnetic cells". Therefore r6c6 is meant to be the sum of a+b+c+d combined.
@Ragna
My apologies, I have clarified the rules further. There should be only one solution but I have now clarified the rules.
am 26. Dezember 2020, 04:46 Uhr von TotallyNormalCat
[Edit] After understanding the rules, I can confirm it works. Very nice. [/Edit]
Either I misunderstood the rules or this is broke
Lets call r5c6=a, r6c7=b, r7c6=c, r6c5=d
Now lets say x=a+b and y=b+c, x!=y because a!= c
Since d!=b at least one of a+d and d+c will be different from both x and y.
So now we have at least 3 different even sums that all share r6c6, which breaks.
am 26. Dezember 2020, 01:24 Uhr von Ragna
Not only one solved puzzle in this portal. :-((
