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Sudoku Lösen Strategie


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Sudoku Lösen Strategie

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Sudoku Lösen Strategie How Is Sudoku Played? Video

Controversial But Useful Sudoku Strategies Unique Rectangles Explained

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If found, the solver looks for a 2. If found, the solve looks for 3 and so on. If a numeral cannot be found in the row, then is must be the numeral in the last open square of the row.

Another time to use brute force is when at an impasse stymied. It is sometimes useful to try brute force to overcome the impasse and continue solving the puzzle.

If there are only two or three open squares in a row, column or sector, it may work and the solution may progress again.

Also at impasse, it sometimes can be visually detected that a particular location may be a candidate for a brute force analysis. As the solver becomes acquainted with more complex techniques, the solver is less likely to be willing to endure the tedium, and will consider brute force at an impasse only as a last resort.

And unfortunately, It seldom succeeds. Here is the method I use when starting a new puzzle. By projecting particular rows and columns, that contain the same numeral, into a target sector, a single position in the target sector, where that numeral can occur, can sometimes be visually identified.

It is a mental construction and is best explained visually. Figure 8 — Projecting rows that contain a 2 to the right. The 2 is entered to the grid.

So next, I try projecting two columns down into the lower right target sector see Figure 9. Unfortunately, there are two locations where a numeral 2 can occur two shaded green.

I make a mental note of that. If I find another 2 in one of these two rows later, I can determine which of these two locations has the 2 in it, just from memory.

Figure 9 — Projecting columns that contain a 2 down. Figure 10 — Projection quickly finds two more locations. Projecting the last location found with another column down , finds another solution digit in the middle bottom sector see Figure The row that it is in, is a row where I made the mental note from before.

Thus, I have demonstrated the wisdom to continue projecting with numerals that have been found recently. The time to remember things is shortened.

Figure 11 — The mental note pays off. At this point in solving the puzzle, we have found the numeral 2 in eight of the nine sectors.

The projection method will always find the remaining location in the last sector see Figure Figure 12 - Finding the ninth of a numeral in the last sector.

There is always only one square. For this puzzle, I never consider a 2 again. Arbitrarily, I use numeral 4 in the projection technique next.

In this example, the 4 was nearby in the last target sector, and very little thought is given to selecting the numeral to project.

As an exercise, the reader is encouraged to try the projection method with these four numerals. I tend to be a visual thinker.

Many people have that tendency. After a little practice, this visual technique becomes very quick and does not require a lot of brain power.

Note that in this example after completely filling several numerals, there exists a sector and a row shaded yellow that have only one open square see Figure It is extremely easy to apply brute force to fill these two open squares shaded green.

Figure 14 — Only one open square in a sector and one in a row. Figure 15 — Brute force will work again. Continuing in this example, since the last numeral discovered was the 7, we apply the projection method using 7 and completely fill all that can be that numeral.

This leaves only 5, 6, and 8. The strategy of alternating between visual projection and brute force, fills the rest even easier than before.

No other technique is needed. A solver can gain proficiency at this technique and puzzles with the difficulty of this example will quickly become less than challenging.

By using this alternating method, it can become almost mindless or robotic to fill Sudoku puzzles of lower caliber. Some find this activity of solving Sudoku puzzles, without intense reasoning, comforting or relaxing.

Kraken Fish A fish pattern with indirect connections to a candidate which can be eliminated. This article is licensed under the GNU Free Documentation License.

It uses material from the Sudopedia article. It really is dependent on what you like best, but in the end, they are still not the exact same thing.

There are a huge amount of variations on the basic 9x9 grid version of Sudoku. You can do puzzles that change the grid size to 6x6 or even 25x There are also other variations like Sudoku-X which adds in the factor of diagonals making it even more similar to a Magic Square.

In Sudoku Even-Odd you have shaded squares that must have either an even or an odd number, depending on the rules of that particular puzzle.

In all variants the basic rules usually remain the same, they just add on some extra rules to increase the level of challenge for the avid Sudoku player to enjoy something new.

There are tons of easily found variations of Sudoku you can try out once you master the basics and understand the strategies talked about as you keep reading.

Sudoku puzzles come prefilled with numbers in some of the cells. They are ranked by a difficulty level which corresponds with how many numbers come pre-filled in the puzzle.

The higher the difficulty the fewer prefilled numbers you will have. The ratings go from one star easiest to five stars hardest.

Just like any other muscle your brain benefits from a good workout. If you find yourself doing mundane tasks daily Sudoku could be a way to sharpen your mind a little.

It forces you to really think and plan. It gives you something to take all of your attention off of stressful days or worries.

Sudoku has also been linked to declines in the potential for dementia to progress and has helped patients with mental health issues regain some normal daily function abilities.

How Sudoku can help your brain is really just about keeping your brain going and your mind sharp. Starting your puzzle is sometimes a key part of making sure you solve the whole thing in the end.

Because the puzzles are partially filled it can be difficult to make the first move. The best strategy here is to use the process of elimination.

See picture below. The number has already been used in the square. It also cannot be used in the column of the square below it because it has been prefilled there too.

That leaves you with only one option. The bottom left. This is how the process of elimination strategy works. Always remember columns and rows matter too.

Strategically eliminating possible moves is the best way to start your game. This is a technique slightly the opposite of what you just read about.

With crosshatching, you start by focusing on one 3x3 square and filling it in with the numbers needed. Crosshatching can be especially useful for brand new Sudoku players who are overwhelmed with an entire grid to fill.

The downfall is that you could find yourself going back to correct a lot of errors as the puzzle gets more filled in. There are definite ways to solve the puzzle.

You might be able to guess and get a lucky right answer, but in general yes, sudoku is solved without guessing. Instead of guessing use strategic thoughtful moves.

Guessing will not improve your game skills or chances of winning. When it comes to sudoku the best strategy is going to be the one that makes the most sense to you.

Move on to the next strategy or combine several to get the puzzle solved. To apply a simple forcing chain, there must be cells with only two candidates in the grid.

The player picks one and begins testing the changes to puzzle when applying each of the two digits in that cell. The goal is to find if there is a cell that would bear the same result whichever digit is used.

If so, that will safely be the solution for it. In this example, the top highlighted cell with the candidates 1 and 2 was used to apply the forcing chains technique.

When testing for both digits, the player finds that the outcome for the highlighted cell with candidates 5 and 7 is always 5. Therefore, this digit will be the solution for that particular cell.

Note that when testing for number 1, the player could also have made a chain by going right to the cell with 1 and 4 as candidates.

The chain would be longer, but the result is the same. Out of the advanced Sudoku strategies, the forcing chains method is usually a last resort as the chains can be very long and complicated and they do not always produce results.

The XY-Wing is a strategy to remove candidates. It can be applied when there are three cells in the grid, each with only a pair of candidates that share at least one digit among them e.

With a bit of mental effort, the player can picture a Y when connecting them, with one cell working as the stem and the remaining as the branches.

The next step is to trace lines in each row and column of the cells to form a square or rectangle. If any of the shared digits are candidates within the lines connecting the cells or at an intersection point, they can be safely removed.

In the example above, the stem cell contains the digits 2 and 9 highlighted in orange and connects to the branches, each with one of these digits as candidates purple squares.

If any of the cells on the red paths contained one candidate shared by the cells on the extremities of the lines, it could be eliminated, but this is not the case.

However, the cell at the intersection of both branches of the Y contains a shared digit by both number 1 , allowing the player to eliminate it as a candidate to that cell.

Any Sudoku puzzle must have only one possible solution. However, at the most extreme levels, the players might find themselves with two.

This pattern happens when there 4 cells with the same pair of candidates facing each other. To avoid having multiple solutions, the player must apply the strategy of the unique rectangle.

Zu stГrken und Sudoku LГ¶sen Strategie zu generieren. - Photo Gallery

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