How many possibilities are there for a 9x9 Sudoku?

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

How many combinations of Sudoku are possible?

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 rectangles does a 9x9 grid have?

First looking at the squares:

So there are 204 squares. Then looking at rectangles: There are 9 vertical lines and 9 horizontal lines on the chess board. To form a rectangle you must choose 2 of the 9 vertical lines and 2 of the 9 horizontal lines.

What is the time complexity of 9 by 9 Sudoku?

Time Complexity : O( n ^ m ) where n is the number of possibilities for each square (i.e., 9 in classic Sudoku) and m is the number of spaces that are blank. where T(N) is the running time of the solution for a problem size of N. Solving this recurrence will yield, O(9^M).

What is the total number of rectangles in a Sudoku is 9x9 matrix?

How many sudoku puzzles can you possibly make with a regular 9*9 square? Wiki says: The number of classic 9×9 Sudoku solution grids is 6,670,903,752,021,072,936,960, or around 6.67×1021.

Sudoku Tutorial #40 A must know technique.

How many combinations of 9 squares are there?

Each square has 4 different sides and can be rotated to any side. How many possible combinations are there? 9 tiles with 4 possible states each. 4⁹ = 262,144.

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 Sudoku rule of 1?

Rule 1 - Each row must contain the numbers from 1 to 9, without repetitions. The player must focus on filling each row of the grid while ensuring there are no duplicated numbers. The placement order of the digits is irrelevant. Every puzzle, regardless of the difficulty level, begins with allocated numbers on the grid.

How long does it take the average person to solve a Sudoku puzzle?

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.

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

What is a 9 by 9 grid with numbers?

In its simplest and most common configuration, sudoku consists of a 9 × 9 grid with numbers appearing in some of the squares. The object of the puzzle is to fill the remaining squares, using all the numbers 1–9 exactly once in each row, column, and the nine 3 × 3 subgrids.

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).

Can there be 2 solutions to a Sudoku puzzle?

A well-formed Sudoku puzzle is one that has a unique solution. 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.

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 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 are the 3 rules of Sudoku?

What is the triplet rule in 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.

Do you need high IQ for Sudoku?

Do you need a high IQ for Sudoku? Sudoku does not require a high IQ to solve. It is a game of logic and strategy, not intelligence. So while a high IQ may make it easier to solve difficult puzzles, it is not a requirement.

What is the smartest way to play Sudoku?

What is the fastest Sudoku time easy?

7. The Guinness World Record for the fastest solve of a 'Very Easy' level Sudoku is held by American player Thomas Snyder. He completed the puzzle in a blazing 1 minute and 23.93 seconds!

Is there any formula to solve 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.

What to do when you get stuck in Sudoku?

Check your puzzle for 3 separate rows or columns where a potential digit can only fit into 2 or 3 cells in each. You should be able to connect the cells if you drew lines through the columns and rows. After you connect all of the cells you can erase the potential candidate from any other cells in those rows or columns.

Can Sudoku be bigger than 9x9?

Large Sudoku Puzzles - 16 by 16 Grid [Page 12 of 14])

Sudoku Dragon also supports other larger sizes than the standard 9x9: 10x10; 12x12; 14x14; 15x15 and 20x20 as well as 16x16.