This is one of my sudoku ideas.
Rules: Place a digit from 1 to 9 so that each digit appears exactly once in every row, column and outlined 3x3 region.digits outside show all occurences of digits of which are smaller than their immediate predecessor in that row/column.An '*' indicates there could be any number of such digits in that row/column.
I get no solution.
ReplyDeleteFirst, a minor point. I assume that an empty line of clues gives no information. (As normal clues, the empty row and two empty columns all clue 123456789, which is impossible.) I would prefer that this not be an assumption; rather than being empty, the clue-free lines should have a mark, probably an asterisk or a black square.
Now, R4 gives the positions of seven digits (1.762.983), after which C5 can have five digits placed (...2.7531). Then the clues from all the columns and from R123 cause multiple contradictions, depending on how exactly I approach the puzzle.
One more minor thing: since the first column of 15 is empty, I don't think it's needed.
the Clue outside the first column missed a 5 between 7 and 4.Apologies.This sudoku does have a solution with that correction.
ReplyDeleteActually, there's at least one other problem. I didn't notice it a first, mostly because I was tired.
DeleteAs I said before, R4 must go (1.762.983). So the 3 in R2 can't be in R2C9, meaning R2 must go (.71.42.3.). But then the 6 in C8 can't go anywhere, because it needs to come somewhere before 3 and right after a larger digit.
6 should right after a larger digit? No,you did not get the rule.
DeleteThe rule currently says "digits outside show all occurences of digits of which are smaller than their immediate predecessor in that row/column." My current understanding of the rules lets me conclude, as I've written above, that R2C8 contains a 3. First, is this correct?
DeleteSecond, C8 has a 6 clue above a 3 clue. I assume this means that the 6 in C8 is located in a square above the 3 in C8. Is this correct?
Third, I believe that the presence of the 6 clue in column means the quoted rule applies to it. Does the rule apply to all clues shown, or do some of the clues shown not follow that rule?
Last, I'll repeat your rule again: "digits outside show all occurences of digits of which are smaller than their immediate predecessor in that row/column." I read that to mean "Digits outside the grid are exactly the digits in the row/column, in order, which are less than the digit immediately preceding it (immediately to its left or above it) in the row/column in question." For example, the sequence 1324 would be clued "2," and 4312 would be clued "31." If you answer just one question, let it be this: exactly how are my reading and interpretation of your rule mistaken?
Yes,a '?' symbol in empty rows looks better.
ReplyDeleteThe sudoku ,and your understanding of the rule are correct. My question is ,
ReplyDeleteyou wrote "Actually, there's at least one other problem.But then the 6 in C8 can't go anywhere".Clearly,it means you think the puzzle is incorrect. How?
Well, I've deduced that R2C8 contains 3. The clues for column 8 say that the 6 in C8 is
Delete(1) smaller than its immediate predecessor in C8 (that is, the digit in the square immediately above it), and
(2) positioned somewhere over the 3 in the same column.
By (2), the 6 must be in R1C8. But by (1), 6 must have an immediate predecessor in the column, and thus can't be in R1C8.
(Generally, no column clue can appear in R1 of the same column, and no row clue can appear in C1 of the same row.)
Your deduction is wrong,which means somewhere there was a flaw in your approach.Can you try starting again? For a hint, the three boxes in the right half fill in a little late in the solve.
ReplyDelete@cyrebjr: I've solved this puzzle and it works. If by your statement "R4 gives the positions of seven digits (1.762.983)" you mean that those digits are in precisely those columns (e.g. that the digit 9 appears in column 7), then you are either making a logical error or misunderstanding the rules. Let me clarify the rules by example: if a row in the puzzle were (653942718), the clue appearing to its left would be "53421". Hope this helps.
ReplyDeleteI understood the rules, but I made an error. Got it now.
Delete