Product Killer Sudoku
(Eingestellt am 24. Juli 2020, 13:13 Uhr von emmettcito)
Es gelten die üblichen Sudoku-Regeln. Alle Ziffern in Käfigen summieren sich zum Produkt der größten und kleinsten Ziffer im Käfig. Ziffern dürfen sich innerhalb der Käfige nicht wiederholen. Mit einem Strich verbundene Zellen dürfen nicht aufeinanderfolgende Ziffern enthalten.
Lösungscode: 3rd and 6th rows
Kommentare
am 25. Juli 2020, 00:51 Uhr von henrypijames
After filling all but one cage with candidates, I got stuck and had to bifurcate. Would love to know the logical path there.
am 24. Juli 2020, 19:52 Uhr von RockyRoer
Yikes... finished to find an unresolvable 56 pair. Returned to re-read directions. NON-consecutive. Grr... I read that wrong. My bad.
But I think the 1-cell cage, after the proper explanation, was on point and on theme and should stay that way.
am 24. Juli 2020, 19:40 Uhr von SenatorGronk
Nice puzzle.
I know you probably wanted to avoid having any starting digits in the grid, but I think it'd be preferable in this case so you could avoid the extra explanation for the 1-cell cage.
am 24. Juli 2020, 18:29 Uhr von emmettcito
@RockyRoer When I began setting this the first thing I did was computer test all possible combinations and found that 6 or more digits in a cage is impossible. It is also not to difficult to prove that fact without use of a computer.
am 24. Juli 2020, 18:15 Uhr von FlareglooM
Nice one, thank you for the puzzle :).
am 24. Juli 2020, 17:29 Uhr von emmettcito
@RockyRoer there is actually only one digit that the single cell cage can be, as the one number is both the highest and lowest digit in that cell, which means that the sum of that cage must be that digit squared. I perhaps should have been a little clearer about that
Also for anyone who is stuck here is a HINT: there are not many valid combinations of digits that can fit into the cages and finding those combinations is easier than you think it is.
