How many different Sudoku grids 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). That's way more than the number of stars in the universe.

How many possible Sudoku grids are there?

There are exactly 6, 670, 903, 752, 021, 072, 936, 960 possible solutions to Sudoku (about 10^21) . That's far more than can be checked in a reasonable period of time. But as luck would have it, it's not necessary to check them all. Various symmetry arguments prove that many of these grids are equivalent.

How many different possible 9x9 Sudoku grids are there?

They discovered that the number of possible 9 by 9 Sudoku grids is N=6670903752021072936960 which is approximately 6.671×10²¹.

How many fields are there in Sudoku?

The standard version of Sudoku consists of a 9×9 square grid containing 81 cells. The grid is subdivided into nine 3×3 blocks. Some of the 81 cells are filled in with numbers from the set {1,2,3,4,5,6,7,8,9}.

Are there different levels of Sudoku?

Progress through the levels of 1) Very Easy; 2) Easy; (3) Medium; (4) Hard; and (5) Harder for 9 x 9 puzzle grids, as well as 16 x 16, too. Whether you are a beginner or a seasoned player, you will enjoy all the fun that awaits your brain when you purchase this series of Sudoku puzzle books.

The Sudoku Grid | Sudoku For Beginners Masterclass

Which level of Sudoku is the hardest?

Expert level Sudoku

This hardest Sudoku puzzle is characterized by the fact that only a few numbers are shown in the Sudoku square, which consists of 9 small squares, where the cells are located 3x3.

Is Sudoku good for the brain?

Sudoku keeps your brain active and reduces the risk of Alzheimer's, a most common cause of dementia that affects a person's thinking and behavioural skills. Stimulates your mind: The game works on your logical thinking process as you are absorbed in solving a puzzle and eventually improve your number skills.

What is the 45 rule in Sudoku?

The 45 rule is a basic solving-technique in Killer Sudoku. Each house (row, column, nonet) must add to 45 (the sum of the digits 1 through 9).

What is the rule of 3 Sudoku?

If three candidates can be found in only the same three Cells of a region (Row, Column or Square), then one of these candidates is the solution for the first of these Cells, a second one is the solution for the second Cell and the last candidate is the solution for the third Cell.

Can you solve Sudoku mathematically?

In fact, mathematical thinking in the form of logical deduction is very useful in solving Sudokus. The most basic strategy to solve a Sudoku puzzle is to first write down, in each empty cell, all possible entries that will not contradict the One Rule with respect to the given cells.

What's the trick to solving Sudoku?

There are more than a few techniques to solve a Sudoku puzzle, but per Conceptis Puzzles, the easiest way to a Sudoku solution 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.” If you're looking to ...

What is the last possible number rule in Sudoku?

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.

What is the one rule in Sudoku?

Sudoku Rule № 1: Use Numbers 1-9

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.

What is the quadruple rule Sudoku?

Rules of Quadruple Sudoku

The object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 (one number per cell) so that each row, each column, and each of the nine 3x3 boxes contains all the nine different numbers 1 through 9.

What is the highest number used on a Sudoku grid?

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.

What is the 159 rule in Sudoku?

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).

What is an evil Sudoku puzzle?

What is Sudoku Evil? Sudoku evil is a 9×9 grid sudoku puzzle with the highest possible level of difficulty. It's an advanced level only for experienced sudoku solvers.

Can you play too much Sudoku?

Sudoku is good for the mind – that is undisputed – but should be practiced in moderation. If you find that Sudoku is taking away from your life rather than adding to it, that is when it becomes an unhealthy addiction. If Sudoku is merely adding value and fun to your life, you're suffering from a healthy addiction.

Is 6 minutes good for Sudoku?

5 minutes is more than enough time to jump start your brain, re-evaluate your Sudoku strategy, and develop a new perspective on how to view the Sudoku grid. So “take 5” and give yourself a new chance at solving Sudoku puzzles!

What is the average Sudoku time?

It is believed that the average Sudoku player spends approximately 20 minutes solving a typical Sudoku puzzle. For very hard puzzles, that number can be much higher. While the game itself can be challenging and complex, several strategies can be used successfully to find the solution.

Can you solve Sudoku without guessing?

The short answer is yes. Every proper Sudoku puzzle can be solved without ever having to make a guess. Another way of thinking about it is that every Sudoku puzzle can be solved logically. Even though it may require highly complicated solving techniques you're not familiar with.

Do Sudoku players have high IQ?

From this case study it can be concluded that an individual who is skilled at solving Sudoku puzzles likely has a high general IQ. The results of the weak correlation between Sudoku scores and the WAIT test indicates that in some cases a high Sudoku doesn't necessarily mean a high general IQ.

What kind of person is good at Sudoku?

Orderly, Methodical Mind

The best Sudoku players know how to cut through the visual clutter of a Sudoku grid and start scanning immediately for the most valuable clues and information that they need – they know how to apply a process to the Sudoku grid where they can see which places are the most promising.

Does Sudoku fight dementia?

“Just sitting down and doing Sudoku isn't probably going to be the one key thing that's going to prevent you from developing Alzheimer's disease,” she said. Moreover, doing only one type of puzzle or another is not the key either. The brain needs to be exercised, just like any other muscle in the body.