Logic Masters Deutschland e.V.

Normal 6x6 sudoku rules apply. Place the digits 1 - 6 once in every row, column and bold outlined box.

Digits separated by a Long Knights move (3 squares horizontally and 1 square vertically, or 3 squares vertically and 1 square horizontally) cannot contain the same digit.

Digits separated by a white dot are consecutive. Digits separated by a black dot are in a 2 to 1 ratio.

Digits in the cage add up to total shown.

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Hint from the author: I know that a lot of people will struggle with this puzzle so I have included a hint below in white text. Please try the puzzle, and if you cannot solve it then you can highlight the area below to see the logical break-in.

Here is the logic for the break-in.

The Long Knights move restricts where digits in column 2 can be placed in column 5.

Place a digit X in R1C2.

X must then go into R2C4 or R2C6 by sudoku and the Long Knights constraint.

X must also go in R3C1 or R3C3 by sudoku and the Long Knights constraint.

But those squares are also a Long Knights move apart (R2C4/R3C1 or R2C6/R3C3). This means that X must be in either R2C4 and R3C3 or R2C6 and R3C1.

Both of these options prevent X from being placed in R4C4 and R4C6 (by a Long Knights move and normal sudoku).

This means that X must always be placed in R4C5. Therefore R1C2 and R4C5 are the same digit.

Repeat this same logic for R1C5. R6C2 and R6C5 and you will see how columns 2 and 5 are related to each other and how the Kropki dots impact each other.

You can also use this logic on my earlier puzzle '6x6 Long Knights' and see how much easier it is.

I hope this helps you to enjoy the puzzle.