Das Sudoku ist gelöst, wenn alle Kästchen korrekt ausgefüllt wurden. Geschichte: Sudokus sind eine Variante der lateinischen Quadrate, wobei schon aus der Zeit. Sudoku Techniken - In jeder Spalte, Zeile und jedem Quadrat darf jede Zahl von 1 bis 9 nur einmal vertreten sein. Wenn man es nicht gewohnt ist, kann einem Sudoku wie eine echte Herausforderung erscheinen. Diese fünf Tips helfen absoluten Anfängern ganz einfach.
Sudoku TechnikenSudoku Techniken - In jeder Spalte, Zeile und jedem Quadrat darf jede Zahl von 1 bis 9 nur einmal vertreten sein. Das Sudoku ist gelöst, wenn alle Kästchen korrekt ausgefüllt wurden. Geschichte: Sudokus sind eine Variante der lateinischen Quadrate, wobei schon aus der Zeit. Denn besser werden Sie auf jeden Fall – nach der Lektüre dieser einzigartigen. Tipps und Tricks. Page 7. Tipp 3. Tipp 2. In den beiden Zeilen 5 und 7.
Tipps Sudoku Table of Contents VideoHow To Do Hard Sudokus In 10 Minutes
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A technique that you may have learned with easier sudoku puzzles is One Choice or "What Fits? If you wish to go looking for a cell where that technique might be used, remember that it is not the total number of digits appearing that matters—it is the number of different digits that counts.
So, rather than looking for a cell in a block with 4 digits, in a row with 6 digits, and in a column with 5 digits all of which may use the same digits , you may have better luck checking out a cell at the intersection of a row with 3 digits, a column with 3 other digits, and in a block that has 2 still unused digits, as long as those digits are different from one another.
Twinning or triplets or quads is another technique that is used often in the next levels of sudoku. This concept works in two ways.
One is known as a "naked pair. For example, 1 and 9. Since there are two cells and only two digits the same two , then one of the digits must belong to one of the cells and the other digit must belong to the other cell.
But even before you determine which cell takes the 1 and which one takes the 9, you already know that the 1 and 9 cannot go anywhere else in that region.
So if these twin cells are in the same block, then the 1 and the 9 cannot go in any other cell within that block. If the twin cells are in the same row, then the 1 and 9 cannot go in any other cell within that row; the same is true if the twin cells are in the same column.
If you have penciled in any candidates, then you can use this principle of twinning to eliminate the twin digits from other cells in the same region , if they have shown up elsewhere.
Or you can avoid placing them in there in the first place, as you notice in the picture here. In that case, placing the candidates in Block 9 shows that only the 5 and 9 can be used in the empty cells.
Since they are both in the same row, then neither 5 nor 9 can appear as a candidate in any other cell within that row. If you first filled in the candidates for Row 8 of Block 8, you could include the 9 in cells 84 and 86 - initially.
But then, upon completing Block 9 or completing Row 9 of Block 8, you would see a Twin Pair a Naked Pair containing a 9; that tells you that the 9 could not be used either in cell 84 or The second way that twinning works a "Hidden Pair"—not shown here happens in a situation when other digits occur in the same cells as the twin digits, but those two digits appear only in two cells in that region row, column, or block.
In that case, all the other digits can be eliminated from those two cells. As an example, let's say that the candidates in cell 57 are 1, 4, 6, 7, and 8, and the candidates in cell 59 are 1, 2, 5, 8, and 9.
You see that 1 and 8 appear in both of these cells, which are in row 5. As you check across that row, you see that no other cells offer 1 or 8 as a candidate.
In other words, even though other candidates appear to be possible in cells 57 and 59, the 1 and the 8 have no other possible homes in row 5.
Therefore, you can eliminate all other digits as candidates for those two cells. When you do that, even though you still may not know where the 1 and the 8 go, you will eliminate theoretical placement for those other digits, and that may lead to the certainty of where to place them.
Triplets and beyond work in the same two ways, but with a slight variation. In those cases, it is not necessary that all three digits appear in all three cells.
For example, let's say you see a row that contains a cell with 6 and 7 as the only candidates; two other cells in the same row contain only 6, 7, and 8.
That makes up a triplet. The 6, 7, and 8 must go in those three cells but the 8 cannot go in the first one mentioned.
That also tells you that those three digits cannot be used in any other cells in that row. But it could also be true that one of the cells contains only 6 and 7; a second one in the same row contains only 7 and 8; and a third one still in the same row contains only 6 and 8.
That is also a triplet. Those three digits must be used in that row only in those three cells, but limited as indicated.
Finally, one last technique to mention is that of Forced Choice aka a Forced Chain. In this situation, you have completed all the cells that you can determine with certainty; then you have penciled in the candidates in the remaining cells, keeping aware of Twinning, etc.
You want to pencil in all candidates, but only the ones that are truly possible. After using the penciled-in candidates to solve additional entries with certainty, you can use the Forced Choice technique.
With this, you choose one cell which contains only two candidates, and you select one of them as your "choice.
Since you don't know yet whether that choice is correct, use some method of "choosing" that will alert you to the choice without erasing the other candidate.
If lines are drawn along the rows and columns, connecting the squares involved, they can form two rectangles, connected at the corners.
This resembles the wings of a biplane, separated by struts. A swordfish is found when for three rows, there are two or three possible squares in which a particular number can be placed, and for all three rows these squares lie in the same three columns.
In this case, this particular number can be eliminated as a possibility for all other squares in those three columns. To give you a good chance of spotting the swordfish you should enter all the pencil marks in the grid as shown here.
There are no easy routes to spotting the swordfish pattern. So, try focusing on just one number in turn as you scan your pencil marks in rows and columns.
Look along each of the rows in turn, noting each one that contains only two or three squares with the current number as a possibility.
Then, look to see if there are three rows where the squares all fall into three columns. If nothing is found, try again with the columns in place of the rows.
In Fig. Dies ist die einfachste Methode, um an eine gesuchte Zahl zu kommen — das kennen Sie. Suchen Sie nach der 8 im oberen linken 3x3-Block im Sudoku links.
Die Felder mit den dunkelblauen Pfeilen kommen wegen der 8en in derselben Spalte bzw. Zeile nicht in Frage: Bleibt nur noch das Feld M1 - hier kommt eine 8 hinein.
Diese Methode ist genauso einfach. Suchen Sie eine Zahl in einer Spalte oder Zeile. Im Beispiel Sudoku oben fehlt die 5 in Zeile X. Anhand der gepunkteten Pfeile sehen Sie, wo keine 5 mehr hin kann.
Es bleibt nur ein Feld übrig: M2 — hier kommt eine 5 hinein! Eigentlich auch ganz einfach, doch viele haben es noch nie probiert.
Zählen Sie ein einzelnes Kästchen durch auf der Suche nach einer Zahl. Alle berührten Zahlen dürfen nicht in dieses Feld. Berührt werden: 1, 2, 3, 4, 5, 6, 7 und 8.
Look at the rows that feed into that row or square — sometimes you will be able to eliminate one number or the other, and can quickly fill in the gaps.
If a number already exists in a row or square, then that number cannot be placed again. For example, if the top row of a Sudoku puzzle already has the numbers 1, 7, 8, 5, 9 and 2, this means that the row still needs numbers 3, 4, and 6.
Look in the nearby rows within the same squares to see if you can rule out any of those three missing numbers.
What do I know now, as a result of having placed that number? Every single time you place a number, it gives you an opportunity to potentially place more numbers in nearby rows and squares depending on which other numbers in those places are already known.
This is one of the most satisfying aspects of playing Sudoku — every step in solving the puzzle leads you closer to the conclusion. Sudoku is a fun and intellectually stimulating game because it exercises the part of the brain that craves logic, order and a natural progression toward a satisfying conclusion.