Mit der Zeit solltet ihr euch allerdings Tipps zu weiteren Techniken einholen, die euch erlauben, schwierigere Sudoku-Rätsel zu lösen. Sudoku 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.
9 Profi-Tipps, um schwere Sudokus schneller zu lösenWenn man es nicht gewohnt ist, kann einem Sudoku wie eine echte Herausforderung erscheinen. Diese fünf Tips helfen absoluten Anfängern ganz einfach. Das Sudoku ist gelöst, wenn alle Kästchen korrekt ausgefüllt wurden. Geschichte: Sudokus sind eine Variante der lateinischen Quadrate, wobei schon aus der Zeit. 9 Profi-Tipps, um schwere Sudokus schneller zu lösen. Tricks vom Sudoku-Meister Stefan Heine. Schwere Sudokus lassen sich zwar auch mit reiner Logik lösen.
Tipps Sudoku Cómo hacer sudokus Video'Hard' sudoku made easy - with this simple method
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.
You may decide to underline your choice, draw a circle around it, or lightly pencil-slash through the unselected one, for example. When you have chosen one of the candidates, check other cells in the same row, column, and block, to see which candidates are forced because of the choice you made, and then mark them similarly.
Remember that you don't know yet whether these choices are correct; you are essentially following a hypothesis to its inevitable conclusion.
You will either come to some point where a choice contradicts another one by selecting a candidate that had previously been selected in another cell in the same region , or you might solve the entire puzzle.
A third, unpleasant, possibility is that the puzzle is so complex that you can neither solve it nor find a contradiction.
No region can contain any duplicate digits. In a sudoku region each digit appears exactly once. For example, if a digit appears in a row, it cannot be in any other cell in the row.
Likewise, each digit can appear in a cage only once. If a digit is in a cage, it cannot appear in that cage again. Rule of Necessity This rule can be applied to sudoku regions i.
In the former case, each region must contain all the digits one to nine. Now, no more squares can be solved with these techniques; you are stuck.
Consider where you might place the 7 on the third and seventh rows highlighted. You know it must be placed once, and only once, on each of these rows.
Here, the only squares with the 7 as a possibility are in the first and last columns. It is a fact that you cannot place the 7 in the first column square of both the highlighted rows at the same time.
Neither can you place them both in the last column. Therefore, they must be placed in diagonally opposite corners: one 7 in the first column; one 7 in the last.
So, there are two possible ways of placing the 7; how does this help you solve anything? Well, you have established that the 7 for the first column must be in one of the two highlighted rows; not in any other squares in this column.
Now you can cross out the 7 pencil mark from all other squares in the first column. Using the same logic in the last column, you can also eliminate the 7 as a possibility from all squares which are not in either highlighted row Fig.
No debes olvidar que un movimiento es incorrecto si:. Una vez que se domina, el sudoku es un divertido juego de puzle. Sin embargo, aprender a hacer sudokus puede resultar un poco intimidante para los principiantes.