How many versions of Sudoku are there?

How many versions of Sudoku are there?

There are 6,670,903,752,021,072,936,960 possible solvable Sudoku grids that yield a unique result (that’s 6 sextillion, 670 quintillion, 903 quadrillion, 752 trillion, 21 billion, 72 million, 936 thousand, 960 in case you were wondering).

Can you have two Sudoku solutions?

A Sudoku puzzle can have more than one solution, but in this case the kind of logical reasoning we described while discussing solving strategies may fall short. It is important to note that this is not the same as stating that if a Sudoku of rank n has n2-1 distinct digits in the givens, then it is well-formed.

What is symmetrical Sudoku?

Symmetry in Sudoku usually refers to the pattern of givens in the initial grid. Some Sudoku Variations, like Killer and Jigsaw, can have symmetry in the additional constraints. There are several types of symmetry. The type depends on the operation that results in the same pattern.

What is the difference between Sudoku and Killer Sudoku?

Killer Sudoku is a mix of Sudoku and Kakuro. Your goal is the same as in regular sudoku: fill every row, column and 3×3 region with the numbers 1-9 once. The difference is how you arrive at those numbers. In killer sudoku, no numbers will be filled in at the start.

Are all Sudoku symmetrical?

Most sudoku puzzles that you see – although not all – contain symmetry. Sepcifically, they tend to contain rotational symmetry such that if the puzzle is rotated 180 degrees it looks the same.

How many 4×4 sudoku puzzles are possible?

Your students could now be asked to find all the sixteen possible arrangements with the digits 1, 2, 3, 4 in that order across the top row. Then they should show that the top row can be rearranged in 4! = 24 different ways. Hence the total possible 4×4 Sudoku Latin squares is 16 x 24 = 384.

Which is harder Sudoku or Killer Sudoku?

Despite the name, the simpler killer sudokus can be easier to solve than regular sudokus, depending on the solver’s skill at mental arithmetic; the hardest ones, however, can take hours to crack.