## Consecutive Manhattan Sudoku

(Eingestellt am 27. Juni 2020, 00:26 Uhr von Madmahogany)

This is a variant on the anti-taxicab restriction I introduced in my Partial Manhattan Sudoku. After that puzzle was featured on CTC, I was very happy to see people experimenting with the restriction. I had realized that I would require computer assistance to make a complete Manhattan sudoku (since the Partial Manhattan Sudoku was the furthest extent I could reach by hand). I am very grateful to the people on the CTC Discord server, particularly RealShaggy, for finding completed grids with the restriction.

Now, there are examples of anti-taxicab sudokus, such as this one by JGLP. I wanted to introduce some more interplay between the digits. Thus, I made this consecutive sudoku with that restriction. The solution was generated by RealShaggy. Now, onto the puzzle!

Normal Sudoku X rules apply (that is, diagonals contain the digits 1-9 exactly once). If two consecutive digits are adjacent in the completed grid, the edge between them is marked with a white circle. Similarly, if two digits along the two main diagonals are consecutive, they have been separated by a grey dot. All possible white and grey dots are provided.

Additionally, there is an anti-taxicab restriction. That is, if two cells contain the same digit, the taxicab distance (minimum number of orthogonal moves from point A to point B) cannot be equal to that digit. For example, if there is a 4 in R3C4, then there cannot be a 4 in R2C7, since it takes a minimum of 4 moves to go from R3C4 to R2C7.

Here is a Penpa-edit link to try it out online. Hope you enjoy it!

Lösungscode: Row 8, followed by Column 9

Zuletzt geändert am 27. Juni 2020, 11:25 Uhr

Gelöst von stefliew, dm_litv, Bismuth, Richard, NikolaZ, Julianl, pandiani42, saskia-daniela, cdwg2000, marcmees, BrumBrum, MD1729, ThePuzzler, Jesper, Jat, Prongs, Mody, AziziA, Schlagenheim, ch1983, Greg, ... zorant, henrypijames, SirWoezel, MatthewDonovan, chickenspeed19, tc327, rimodech, mse326, pdebruine, elspood, geronimo92, anu_chakravarti, Saskia, bob, MavericksJD, SKORP17, derwolf23, matter
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### Kommentare

am 27. Juni 2020, 11:25 Uhr von Madmahogany
@panthchesh The Penpa link should be working now

am 27. Juni 2020, 11:25 Uhr von Madmahogany

am 27. Juni 2020, 11:02 Uhr von Madmahogany
@BigTiger sorry for the confusion. It is as @stefliew says, all the consecutive adjacent digits are marked with circles.

am 27. Juni 2020, 10:24 Uhr von Madmahogany

am 27. Juni 2020, 10:19 Uhr von Madmahogany
Updated Penpa link and rule clarification

am 27. Juni 2020, 05:03 Uhr von panthchesh

am 27. Juni 2020, 02:44 Uhr von Big Tiger
Ahh, so "if two >consecutive< digits are adjacent"...

Zuletzt geändert am 27. Juni 2020, 01:49 Uhr

am 27. Juni 2020, 01:49 Uhr von stefliew
If two consecutive digits are adjacent orthogonally, there is a white circle between them. If two consecutive digits along the main diagonals are adjacent diagonally, there is a grey circle between them.

am 27. Juni 2020, 01:25 Uhr von Big Tiger
I'm stuck on "If two digits are adjacent" ... EVERY digit is adjacent to another on this. Clarification of this particular rule?

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Lösungscode: