What is the best time complexity for Sudoku?

The general problem of solving Sudoku puzzles on n^2×n^2 grids of n×n blocks is known to be NP-complete. The runtime complexity of any algorithm solving Sudoku is thus at least exponential in n. For a normal Sudoku (n = 3) this means O(N^3) is perfectly reasonable.

What is the time complexity to solve 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).

Which algorithm is best for Sudoku?

Modelling Sudoku as an exact cover problem and using an algorithm such as Knuth's Algorithm X and his Dancing Links technique "is the method of choice for rapid finding [measured in microseconds] of all possible solutions to Sudoku puzzles." An alternative approach is the use of Gauss elimination in combination with ...

What complexity class is Sudoku?

All proper Sudoku puzzles come with a guarantee that the puzzle has a unique solution, so they belong to the UniqueP complexity class.

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.

Python Sudoku Solver - Computerphile

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 smartest way to play Sudoku?

What is the fastest time to solve easy Sudoku?

According to Guinness World Records, the fastest time to complete a “Very Easy” difficulty Sudoku puzzle was 1 minute 23.93 seconds. The record was set on May 20, 2006 by Thomas Snyder, an American Sudoku champion. How does Thomas Snyder solve Sudoku puzzles so fast, and how can you solve Sudoku puzzles faster?

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.

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.

Is Sudoku always 9 * 9?

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 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 rule of 2 Sudoku?

Rule 2 - Each column must contain the numbers from 1 to 9, without repetitions. The Sudoku rules for the columns on the grid are exactly the same as for the rows. The player must also fill these with the numbers from 1 to 9, making sure each digit occurs only once per column.

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.

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

The average person takes more than a few minutes to solve a Sudoku. It requires patience, time, and attention. If you're not very patient by nature, you will likely find yourself very disappointed and annoyed with the game.

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 math?

Sudoku can serve as a cornerstone of active learning. It will allow the brain to develop the neural pathways necessary to extend the decision-making process and allow mathematical concepts to rise to consciousness thereby students can solve problems.

What are the 3 rules of Sudoku?

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 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).

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 secret to winning Sudoku?

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. If a cell ends up having only one possible entry, it is a "forced" entry that you should fill in.