Logic Masters Deutschland e.V.

Authors: Tea StarLove and The Pi Guy

Rules

Normal Sudoku rules DON'T apply. Place the digits 1-9 such that no row, column, box, or cage contains a repeated VALUE.

Digit values
• The digit 1 has a value of either 1 or 10.
• The digit 5 has a value of either 5 or 15.
• The digits 1 and 5 appear 8 times for each of their respective values.
• All other digits have a value equal to their digit and appear 7 times each.

Other clues (XV, White Dots, Cage)
• The values of adjacent cells marked with an X sum to 10 (standard rules). EXACTLY ONE X CLUE IS MISSING.
• The values of adjacent cells marked with a V sum to either 5 or 15. Not all V clues are necessarily given.
• The values of adjacent cells marked with a white dot have a difference of 1. Not all dots are necessarily given.
• The values in the cage sums to the number in the top left of that cage.

Mod 15
In this puzzle, all sums that are more than 15 and can be written as x plus a multiple of 15 simplify to x, where x is a number from 1-15. Below are some examples:

• 6 + 10 = 16. 16 can be written as 1 + 15, so the sum simplifies to 1.
• 6 + 7 + 8 + 9 = 30. 30 can be written as 15 + 15, so the sum simplifies to 15.
• 3 + 6 + 7 + 8 + 9 = 33. 33 can be written as 3 + 30, so the sum simplifies to 3.

Note: Solvers may find it easier to use ‘A’ and ‘F’ for the values of 10 and 15, just remember to convert them back into 1 and 5 at the end of the puzzle!

Solve on SudokuPad.