Is it not allowed to repeat numbers in the diagonal in the 4x4 Sudoku game?

The short answer is: no.

However, unless you are playing this particular variant, or any other variants with a diagonal rule, you do not need to worry about the diagonals. Trying to ensure that the numbers 1 through 9 only appear once in every diagonal is likely to make regular sudoku puzzles unsolvable as well.

Can you have the same numbers diagonally in Sudoku?

Any two cells in a diagonal will share neither the same row or column and are therefore form opposite sides of a rectangle. The other two corners can't contain the same candidate as Pair on the diagonal.

Sudoku is defined by Merriam-Webster as a 9-by-9 grid puzzle in which the grid is divided into 3-by-3 boxes. Every row, column and box must contain the numbers one through nine, no repeats.

Can we repeat numbers in Sudoku in row and column?

Sudoku is played on a grid of 9 x 9 spaces. Within the rows and columns are 9 “squares” (made up of 3 x 3 spaces). Each row, column and square (9 spaces each) needs to be filled out with the numbers 1-9, without repeating any numbers within the row, column or square.

The numbers 1–9 must appear exactly once in the diagonals from each corner. The 2 main diagonals are 9 squares long. One runs from the top left to the bottom right corners, and the other goes from the top right to the bottom left corners. No other diagonal in the puzzle follows these constraints.

The rules for sudoku are simple. A 9×9 square must be filled in with numbers from 1-9 with no repeated numbers in each line, horizontally or vertically. To challenge you more, there are 3×3 squares marked out in the grid, and each of these squares can't have any repeat numbers either.

Last possible number is a simple strategy that is suitable for beginners. It is based on finding the missing number. To find the missing number you should take a look at the numbers that are already exist in the 3x3 block you are interested in, and in the rows and columns connected with it.

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. There are examples of rank-3 Sudoku puzzles with 17 givens that are well-formed.

Sudoku is a number puzzle consisting of a 9 x 9 grid in which some cells contain clues in the form of digits from 1 to 9. The solver's jobs is to ﬁll in the remaining cells so that each row, column and 3×3 box in the grid contains all nine digits. There's another unwritten rule: the puzzle must have only one solution.

Normal sudoku rules apply: Each row, column, and region indicated by thick borders in the grid must contain the digits 1 to 9 once each. 159: Digits in column 1 indicate the column in which the digit 1 appears in that row (e.g. if r4c1 is a 6, r4c6 is a 1).

Now Gary McGuire, a mathematician at University College Dublin, has come up with what he says is a proof that finds the minimum number of clues, or starting digits, needed to complete the game is 17.

"Hidden triples" applies when three cells in a row, column, or 3x3 block contain the same three Notes. These three cells also contain other candidates, which may be removed from them.

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 4x4 Sudoku Latin squares is 16 x 24 = 384.

The easiest way starting a Sudoku puzzle is to scan rows and columns within each triple-box area, eliminating numbers or squares and finding situations where only a single number can fit into a single square. The scanning technique is fast and usually sufficient to solve easy puzzles all the way to the end.

What is the highest number used in a Sudoku puzzle?

In classic Sudoku, the objective is to fill a 9 × 9 grid with digits so that each column, each row, and each of the nine 3 × 3 subgrids that compose the grid (also called "boxes", "blocks", or "regions") contain all of the digits from 1 to 9.

Sudoku is a logic puzzle, which exercises the left hemisphere of the brain. Doing Sudoku puzzles is fundamentally satisfying because it helps us “flex the muscles” in a part of our brain that might not always get a lot of use during our everyday lives.

As an application one has the Uniqueness Argument: Whenever one has a nonempty set of initially open cells, and two candidates at each of those cells, such that among these candidates each value occurs zero or two times in each row, column and block, then the actual solution differs in at least one cell from both ...