Chess: What a gourmet fusion cuisine would be if it was Sudoku

#sudoku #SudokuSleuth

Today's Video:

gUBBLOR knows how to fuse his variant rulesets with others exceptionally well, creating a unique fusion of rules that are uniquely his.

This puzzle is a stunning blend of shifter lines and chess lines.

Link to Play:

Shifter Lines 114: Chess by gUBBLOR

Rules:

Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Shifter lines: Adjacent digits within the same box on a shifter line share both parity (even/odd) AND polarity (low/high). Whenever the line enters a new box either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it. Digits may repeat on lines.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. Not all dots are shown.

Chess lines: All shifter lines are also chess lines. Adjacent digits on a line must form a valid chess move by the indicated piece on a 3x3 numpad. Some examples of a given digit and all valid candidates for cells next to it on the line:
- Knight (R3C2+R3C7+R3C9): 3➔48, 7➔26
- King (R6C4+R8C3): 1➔425, 8➔74569
- Bishop (R1C3+R2C3+R6C5): 2➔46, 7➔53
- Rook (R6C2+R8C6): 5➔2468, 9➔7863
- Pawn (R1C7+R3C6): 6➔39, 7➔4, 2➔5
- Queen (R5C2): 3➔125679, 4➔785612

Chapters:

00:00:00 Intro
00:01:03 Rules
00:06:23 Solve
00:27:40 Outro

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[gubblor]

Very nice solve, and thank you for the kind words! I really do hope more chess line puzzles are constructed, they are just fantastic!

[anaayoung]

It seemed hard but it wasn't. I coloured odds and evens this time and it was very doable. The way you solved is smart!

[Sinisest]

21 minutes. Usually i get more stuck with these shifter lines but probably chess helped. These knight lines were interesting like some kind of really restricted white dot.

[steveunderwood]

The description of the lines says they can't have a 5 on them. The examples of using the lines from the chess point of view has lots of 5s.

[mrpokefan]

Over 1 hour hard thinking, but I got it! Thanks Sleuth, what a marvelous puzzle.

[boydegg]

55:18 .... I love chess variant puzzles

[aleksapupovac]

00:55:01 It's actually solvable even if you allow pawns to move diagonally like a capture

[jonbrowne]

Phenomenal solve Sleuth! I didn’t attempt! Brilliant weekend of puzzles! Thank you.🙏

[jdyerjdyer]

A decent 33 minutes and 28 seconds. Probably could have shaved a good ten minutes off if I didn't twice forget that the lines were shifter lines which eliminated quite a few possibilities on each...

[psiphiorg]

The chess lines caused me some difficulty from time to time, especially after I had pencil-marked a line and forgotten about which of (for example) 1 or 3 connects to 7 or 9. I got stuck a few times, and had to go back to each line to see if there was a connection I hadn't noticed. Still quite a fun puzzle! My time today was 32:08, solver number 178.

[khayman]

I'm really struggling with this rule set: chess pieces don't jump, except for Knights! So, how's it legal for r8c6 and r9c6 to be 7 and 9? A Rook cannot jump from 7 to 9 or viceversa???