Logic Masters Deutschland e.V.

Title: 3D XV Kropki
Type: Sudoku
Link: Penpa+ link to 3D XV Kropki Sudoku You may use Normal/Large/Medium/Small Blue, Green, or Red numbers in any combination.
Link: F-puzzles link to 3D XV Kropki Sudoku
Link: CTC link to 3D XV Kropki Sudoku
Variants: 3D, XV, Kropki pairs, Killer Cages

1) Normal Sudoku

• Place the digits 1 through 9 once each in every row, column, and box.

2) 3D

• D,R, and C represent 3 numbers.
• D is a digit. R and C are the row and column that that digit is in.
• D = (R,C) suppose 6 is in (3,9)
• R now becomes the "new" digit in Row "C" and Column "D".
• R = (C,D) now 3 is in (9,6)
• C is the final "new" digit in Row "D" and Column "R"
• C = (D,R) and 9 is in (6,3)

• 3.1) Two adjacent cells around a V sum to 5. Not all V's are given.
• 3.2) Two adjacent cells around an X sum to 10. Not all X's are given.

4) Kropki pairs

• 4.1) Two adjacent cells around a white dot have digits that are consecutive. Not all white dots are given.
• 4.2) Two adjacent cells around a black dot have digits that are in a ratio of 1 to 2. Not all black dots are given.

5) Killer Cages

• 5.1) Digits in a cage sum to the total in the top left corner of the cage.
• 5.2) Digits cannot repeat withing a cage.