Logic Masters Deutschland e.V.

Title: XV Doubler VX
Type: Sudoku
Link: CTC App link to XV Doubler VX Sudoku
Link: F-puzzles link to XV Doubler VX Sudoku
Variants: XV, Modified VX, Little Killer, Doubler

1) Sudoku

• 1.1) Place the digits 0 through 8 once each in every row, column, and box.
• 1.2) When using f-puzzle, the 9 digit represents a zero. Treat the 9 as if the value is zero in all aspects of the puzzle (including mathematical operations and inequalities).
• 1.3) 36 is the secret number.

• 2.1) Constraints on a green dot follow 2.2 and 2.3 below. Red dots are negative constraints and must not follow 2.2 and 2.3 below.
• 2.2) An X either sums or multiplies two adjacent cells (being simultaneously a sum and a multiplication is permitted).
• a) When X acts as a sum, the two cells sum to 10.
• b) When X acts as a multiplication sign, the two cells are multiplied together with their product immediately following to the right for rows or downward for columns. Multiplications cannot have a leading zero. e.g. 4 X 8 0 3 2 is not permitted, but 4 X 5 2 0 is permitted.
• i) Not all sums of 10 are given.
• ii) Not all multiplications are given.
• 2.3) A V either sums or represents an inequality between two adjacent cells (being simultaneously a sum and an inequality is permitted).
• a) When V acts as a sum, the two cells sum to 5.
• b) When V acts as an inequality, the one cell is greater than the other in the direction of the V.
• i) Not all sums of 5 are given.
• ii) Not all inequalities are given.

3) Little Killer

• 3.1) Digits along a indicated diagonal must sum to the total.
• 3.2) Digits may repeat along the diagonal if allowed by normal Sudoku rules.

4) Doubler

• 4.1) There are 9 different doublers, of 0 through 8, in the grid. One in each row, column, and box.
• 4.2) A digit in a doubler cell has double the value when used in little killer and XV/VX constraints, e.g., An 8 in a doubler cell [8] will have the value of 16. [2] has the value of 4...
• 4.3) Examples: [2] V 1 is valid. [4] X 2 = 16 is valid. [4] V 1 is invalid.

5) Notes

• 5.1) When using f-puzzle, the timer will not stop after you complete the puzzle.
• 5.2) When using f-puzzle with error check, some cells will have digits in red although they will be correct.

Examples (0 for CTC/Penpa+, 9 for f-puzzles):
ROW 2--Six multiplied by five equals thirty (6 X 5 3 0/9).
ROW 3--Five summed with zero equals five (5 V 0/9).
ROW 4--Three summed with two equals five, also two multiplied by four equals eight (3 V 2 X 4 8).
COLUMN 1--Six is greater than five, also five is greater than three (6 V 5 V 3).
COLUMN 2--Five is greater than zero but also five summed with zero equals zero (5 V 0/9).
COLUMN 3--Two multiplied by three equals six, also six summed with four equals ten (2 X 3 6 X 4).
COLUMN 4--Seven is greater zero, also two summed with eight equals ten (7 V 0 2 X 8)