A well-formed Sudoku puzzle is one that has a unique solution. This is because if we had a rank-n puzzle where only n2-2 symbols were used and we found a solution, then interchanging the places of the two symbols missing from the givens would result in another, different solution.
What is the deadly pattern in Sudoku?
A deadly pattern is a set of cells whose candidates form a pattern that causes the puzzle to have multiple solutions. Deadly patterns can never be encountered while solving a proper (uniquely-solvable) Sudoku. It is a matter of debate as to whether a Sudoku must have a unique solution.
Is there a mathematical formula for sudoku?
For example, in the first and fourth columns beginning from the left of the 9×9 grid, we can form the following equations: m+n=a, g+n+f=g+c. In the second and last rows beginning from the top of the 9×9 grid, the following equations can be formed: b+g+f=a+g, e+n+m=a+b+d.
Is there any formula for sudoku?
For the second Sudoku, we have the following 10 equations: m+n=a. g+n+f=g+c⟹n+f=c. g+d=n….Sudoku 2.
| Letter | Number |
|---|---|
| f | 2 |
| g | 3 |
| m | 5 |
| n | 4 |
Can a Sudoku solution lead to a unique rectangle?
If the sudoku has only one solution, any situation that could lead to a Unique Rectangle must be avoided. The two (valid) solutions to the UR above: A common mistake when looking for URs is to violate the “2 blocks” rule (see the Sudopedia article for an example).
Can a 2 be a deadly pattern in Sudoku?
Because if that cell is a 2, it would force the others to form the deadly pattern. If that cell is a 3, it would force the others to form the deadly pattern. Therefore, neither deadly pattern number can be correct for that cell.
How is swapping within a box used in Sudoku?
In example A, swapping within the box does not change the content of that box. For all Unique Rectangles we are going to look for potential deadly patterns and take advantage of them. This means one of the corners could become a deadly pattern if certain candidates were removed.
What’s the difference between Type 2 and 4 in Sudoku?
The Type 4 technique is only a variation of Type 2. A combination of the two strategies is also possible. As with the Type 2, the player finds the same pattern breaker in two different cells that share a column or row, but the Type 4 technique, these also need to share the same block.
