How fast is Sudoku algorithm?

In one case, a programmer found a brute force program required six hours to arrive at the solution for such a Sudoku (albeit using a 2008-era computer). Such a Sudoku can be solved nowadays in less than 1 second using an exhaustive search routine and faster processors.

What is the time complexity of Sudoku algorithm?

Time Complexity:

The time complexity for solving sudoku using backtracking is tricky to calculate. The worst case time complexity is equal to the number of possible board configurations which is 9^81. This can be even boiled down to 9^k where k is the number of empty cells in the initial board configuration.

How fast can the average person 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.

Is there an algorithm for Sudoku?

The interesting fact about Sudoku is that it is a trivial puzzle to solve. The reason it is trivial to solve is that an algorithm exists for Sudoku solutions. The algorithm is a tree-based search algorithm based on backtracking in a tree until a solution is found.

What is the most efficient algorithm for solving Sudoku?

The stochastic algorithm is our most efficient algorithm for solving sudoku puzzles, in that it solves them the fastest with the fewest steps.

How To Do Hard Sudokus In 10 Minutes

Is Sudoku a math or logic?

Sudoku is a logic-based puzzle. It is a type of constraint satisfaction problem, where the solver is given a finite number of objects (the numerals 1-9) and a set of conditions stating how the objects must be placed in relation to one another.

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).

How do people solve Sudoku so quickly?

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.”

What is the fastest Sudoku time ever?

A Sudoku Master from China Wang Shiyao solved 9x9 sudoku grid in 54.44 seconds at the World Sudoku & Puzzle Championship held in Prague. However...

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.

Is 7 minutes good for Sudoku?

The good sudoku time is one where one is able to solve a complex sudoku game which is in itself a combination of 5 or more sudokus. From the competition point of view, the lesser time one takes the better it is. For very hard say 5 to 7 minutes should be great.

Is there 16 * 16 Sudoku?

16 x 16 sudoku puzzles work just the same as regular 9 x 9 sudoku puzzles, but they are, well, a lot bigger! Infact whereas a normal sudoku has 81 squares in it, a 16x16 sudoku has 256 squares in it, so you get a lot more puzzle for your money.

Is there a Guinness World Record for Sudoku puzzles?

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! 8.

What is the hardest Sudoku game?

Expert Sudoku is a game for experienced Sudoku players with a very high level of difficulty. 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.

What happens if I solve a Sudoku daily?

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 swordfish technique in Sudoku?

A Swordfish is a 3 by 3 nine-cell pattern where a candidate is found on three different rows (or three columns) and they line up in the opposite direction. Eventually we will fix three candidates somewhere in those cells which excludes all other candidates in those units.

Does Sudoku improve memory?

Playing a timed version of Sudoku can help develop your memory. Once you get the knack for playing the game, you remember the strategies you used to solve the puzzle. You become sharper in identifying the patterns and practical solutions, and this can decrease the time you take to solve the game.

What is the hidden triple rule in Sudoku?

"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.

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 4 cell rule?

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. The clues are in the form of sets of four special clue-numbers.

Is Sudoku a high IQ game?

Practising a game like sudoku or using a brain training app might make you better at it but it won't boost your IQ or general brain power, a study claims. And instead, researchers suggest people exercise more, socialise and make sure they get enough sleep if they want their mind to be sharper.

Is Sudoku an IQ game?

Sudoku is a great example of a game of logical thinking skills that helps evaluate one's cognitive ability. If you're looking for how to challenge your brain or how to test your IQ, then you've come to the right place.

Is Sudoku related to 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 is the most addictive puzzle since Sudoku?

Invented by Japanese mathematics teacher Tetsuya Miyamoto in 2004, KenKen is an elegant and rich logic puzzle with a few easy-to-understand rules, which helps explain why New York Times Puzzle Editor Will Shortz called it “The most addictive puzzle since Sudoku.”

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).