Vudoku is a variant of the classic Sudoku puzzle, which incorporates arithmetic into the traditional number-placing logic game. In addition to adhering to the standard Sudoku rules, players must also consider the mathematical relationship between certain numbers in the grid, specifically those positioned in a "V" shape.
- Standard Sudoku Rules:
- Each row, column, and specified region must contain all of the numbers from 1 to 9, without repetition.
- A number cannot appear more than once in a row, column, or specified region.
- Vudoku-Specific Rule:
- The number at the vertex of each marked "V" must be either the sum or the difference of the other two numbers of the "V".
Additional Rules (if needed)
- The "V" shapes may overlap with each other, and in such cases, the vertex number must satisfy the Vudoku condition for all overlapping Vs.
- The Vs can be located anywhere on the board and can be of any orientation (upward, downward, leftward, or rightward).
Basic Solving Tips
- Identify Constraints:
- Begin by identifying the numbers that are already provided in the grid and use them to determine the possible values for other cells, considering both Sudoku and Vudoku rules.
- Focus on the Vs:
- Pay special attention to the Vs, as they provide additional constraints and can often help you deduce the values of other cells more quickly.
- Use Elimination:
- Use the process of elimination to identify where numbers cannot go, thereby narrowing down the possibilities for each cell.
- Look for Certainties:
- Always place a number if you are certain of its position, and use it to further deduce the positions of other numbers.
- Consider All Possibilities:
- For the Vudoku-specific rule, always consider both the sum and difference possibilities and check which one adheres to the existing grid without violating any rules.