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Sudoku LГ¶sen Strategie Sudoku Games Video'Hard' sudoku made easy - with this simple method We all do. It may seem impossible to you to solve anything but the most simple Sudoku puzzles. Well I have some good news. Apply these Sudoku tips and you will solve most Sudoku puzzles. To solve the hardest puzzles and games, use advanced strategies such as X-Wing, XY-Wing, and Swordfish. There are two ways to approach the Sudoku Solving process. Alternate pairs With version , Sudoku Dragon now supports the Alternate Pair strategy, letting it spot and explain the use of X-Wing and Swordfish in any Sudoku puzzle. Read More There are only a few strategies that you need to master in order to solve all Sudoku puzzles. Captchas LГ¶sen von Google, Facebook, Bing, Hotmail, SolveMedia, Yandex, fair[/url] [url=deltamisteri.com ]my I'm trying to get my blog to rank for some targeted keywords but I'm not seeing скачать fifa а также [url=deltamisteri.com]cardona fifa 15[/ url]. under what catagory does prozac show up in a. Exklusive WagestГјck verliebenвЂ¦ Singlereisen ab 30, Telefonbeantworter 40 oder Singlereisen Telefonbeantworter 50 aufgeteilt. Das kostenlose nicht Liierter bГ¶rsen oder aber KontaktbГ¶rsen super coeur zu tun sein herausstellen immer wieder unabhГ¤ngige Tests bei SinglebГ¶rsenvergleichsportalen. We need another Sudoku puzzle strategy. The third Sudoku strategy you need is learning the art of candidate elimination. Sudoku Strategy - Candidate Elimination. In order to effectively use the candidate elimination strategies, you will need to find all of the possible candidates for each blank cell in your Sudoku puzzle.
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.
I sometimes do this myself. It can clear my mind or I can unwind after a period of intense contemplation. Also, one can fill enormous amounts of time, oblivious to its ultimate duration.
It can be an excellent nullification or numbing waste, while suffering from things like modern air travel. But we are not here for basket weaving, Watson.
Challenges of the mind and more complex logic are our interests here. A more complicated technique that is sort of a simultaneous combination of brute force and projection is the next approach to be demonstrated.
First, we will introduce some new nomenclature. Since the basic rules of Sudoku are similar for rows, columns and sectors, the logic that applies to one, for example rows, often applies to both of the others i.
Having symmetry in the rules is a benefit. To avoid always referring to them individually when we mean all three, we give the three structures a common name.
Rows, columns and sectors are all types of a Sudoku Class or just a class. So, if a rule applies to any class, the meaning is it applies to rows, columns and sectors.
Or, there is a singular possibility. This shorthand should help. And, when a condition where only one open square exists in a class, the technique switches to brute force to find the last entry of that class.
As before we start by employing the alternation method. By using the alternation method, we only completely place the numerals 3 and 7.
Figure 16 — More difficult puzzle. With only the alternation method, the solver is stymied. Figure 17 — Brute force candidates and the map of possibilities.
Because a numeral can only appear once in a class, and there is the same number of numerals as the number of positions of a class, then all of the numerals must occur in the class.
Figure 18 — Analyze a single row looking for every numeral. Since all of the numerals must occur, we start with the numeral 1 and look for positions in the row of interest that can have a 1.
If there is only one position, we have an entry. If the numeral already occurs in the row, we skip it and try the next. It can sometimes help to start from 9 in many situations.
All four open squares in the row can contain a 1. Nothing has been determined and we try the next numeral in order, which is the 2. Figure 19 — 1 can be in four locations.
Excluding the shared squares, the numeral 2 can only be in one square shaded green of the row see Figure Figure 22 — Only one place for a 9 in this column.
Using the alternation method does not find another entries either. We choose one of them, the leftmost column, to be next with the new technique see Figure Figure 23 — Next column to try the only once in a class technique.
Starting with 1, we find a singular possibility in the square shaded green of the top left sector see Figure Figure 24 — With only two locations open in the column, 1 can be in only one.
The alternation method fills five more entries see Figure However, in this situation we are at an impasse, none of the methods find any more entries.
A new method is necessary to continue. Figure 25 — Five more entries found. Notice this row shaded yellow in the example puzzle below see Figure It has only two open squares and both of them are shared by one sector.
Fish The term fish is now accepted by most players as a name for all single-digit solving techniques which eliminate candidates by comparing sets of rows and columns.
Aliases are seafood and sealife. Advanced Sudoku Strategies - Fish X-Wing 2 rows vs. 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.
Some strategies are more difficult to master than others. Some strategies are meant for advanced players while others are great for beginners.
Try not to get stuck on one specific strategy. Something is bound to help. Illustration Of A Naked Pair As you can see each cell highlighted has 2 possible numbers.
This strategy is based on looking at the puzzle and deciding which numbers are the only possibility for a specific cell. In a naked pair, you know you have 2 possible numbers that will be able to work in the pair, but you have yet to figure out which will go where.
If you know the naked pair has either a two or a six as the possible answer, check to see where those numbers are used already.
Naked pairs do not have to align within the grid. They can be naked pairs and be scattered within the square too. No matter where they fall the point of the strategy is that you know there are only 2 possible numbers that can be placed in those cells and that you need to use the process of elimination to find the right one.
This same idea can also be applied to what more advanced players will call naked triplets or threes and naked quads. Example of how hidden pairs can distort the true options for a cell.
This is a great way to open up your grid and get a good feel for where to place numbers. The hidden pair strategy is a way to eliminate clusters of numbers from two cells which leaves you with simple options for the rest of the cells.
Then look through your square, columns, and rows to rule out those numbers as options. In the above example, you can see that the hidden pair appears to have a multitude of options.
But if we apply the rule of looking through columns and rows we can see that the actual value of those cells is limited to being either a 6 or 7.
Again, this strategy can be used in triplets or quads but that could take more practice. If the numbers are aligned in the same column or row they are called a pointing pair.
The pointing pair tells you the number must be used in that line and can be ruled out from other possible cells. This is another strategy to help eliminate possibilities and make the entire puzzle more easily solved.
Are you noticing a theme with these strategies? Intersection removal is no exception to that line of thinking. If any number occurs as a possibility two or three times in any one unit row, square, or column you can then remove that number from any intersecting other units.
The key to using this strategy is to really fully understand what a unit is in the game. If the pair or triplet of numbers intersects with another row, column or square it can be eliminated as a possibility for that intersecting unit.
Another way to methodically use the process of elimination to get to the final result. This one just takes a little more focus on the entire grid than previous strategies mentioned.
Take a look at your rows and see if there are any pencil marks that are exactly the same in two spots. Match up that row with another row that mirrors it.
The pencil marks must be exactly the same in the same two spots. You can see an example below to get a better idea.
As you can see, the parallel rows create an X giving this strategy its name. 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.
During the game, and when facing the prospect of a deadly pattern, the player must check if one of those four cells has any other candidates to them.