Logic Masters Deutschland e.V.

Title: XV ~=~ VX
Type: Sudoku
Link: CTC App link to XV ~=~ VX Sudoku
Link: F-puzzles link to XV ~=~ VX Sudoku
Variants: XV, Modified VX, XV Lines

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) For an added challenge, the puzzle is solvable without negative XV VX constraints.
• 1.4) 36 is the secret number.

• 2.1) An X either sums or/and 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) All sums of 10 are given.
• ii) All multiplications are given.
• iii) For an added challenge, the puzzle is solvable without negative constraint.
• 2.2) A V either sums or/and 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) All sums of 5 are given.
• ii) Not all inequalities are given.
• iii) For an added challenge, the puzzle is solvable without negative constraint.

3) XV Lines

• 3.1) Along XV lines, the two cells that are equidistant from the center of the line contain digits that sum to 5 or 10.
• 3.2) If a line has an odd number of cells, the middle cell has no restrictions.
• 3.3) The two 21 cell lines (a turquoise and a taupe) have varying colors to easier discern the direction of travel.

4) Notes

• 4.1) When using f-puzzle, the timer may not stop after you complete the puzzle.
• 4.2) When using f-puzzle with error check, some cells may 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)