Sudoku is a logic-based, combinatorial number-placement puzzle that was originally known as Number Place.
It is short for ‘digit-single.’
The objective of this classic Sudoku game is to fill a 9-by-9 grid with numbers so that every row, column, and each of the nine 3-by-3 subgrids that make up the grid, also referred to as “blocks,” “boxes,” or “regions,” contains all of the digits from 1 to 9.
The puzzle setter sends a partially completed grid with a single solution for such a well-designed puzzle.
Here are listed some simple coloring strategies of this game to blow up your mind!
Sudoku – Simple Coloring
A Strong Link is a connection between two cells in a Sudoku region or area.
These two Cells are the only ones in the region where a single candidate is generally found.
Assume that if this candidate is not the resolution for Cell 1, it is the resolution for Cell 2, and vice versa.
We can create a Chain of three Cells by placing the mutual Cell in the middle of two Strong Links that share a Cell.
This is not the explanation for that Cell, which is the concept of a Strong Link that requires the candidate in the Cell at one end of the Chain.
It has to be a good answer for the Chain’s next Cell.
As a result, for the same reason, the candidate cannot be the resolution for the third Cell in the Chain.
If we assume that the candidate in the Cell at one end of a Chain is the response for that Cell, it will never be the solution for the middle Cell; hence it must be dismissed.
If we imagine a longer Chain with just Strong Links, the Nodes will move from one state to another.
This approach looks at such sequences and displays those using colors that correspond to their names.
This is because one of the candidates is only present in one of two states. So, unless all contenders of a similar hue are the answer at the same moment, they will not be the response.
SIMPLE COLORING – More than once in a unit:
This color can’t be the solution if two Nodes in this sudoku Chain have the same color and fit into the same area (Column, Row, or Square).
This occurs because a candidate can’t be the answer for two cells in the same region.
As a result, all applicants with this color may be excluded. As a result, the solution takes on a new hue.
Let’s say candidate 2 has double the yellow color in this image’s Row “D.” Candidate 2 could be the answer in these two new cells in Row “D.”
However, if cells in yellow recognized the answer, this is unlikely.
As a result, yellow-colored candidates are unable to be the correct answer in their respective cells.
The green stage will suffice if the yellow stage fails to provide a solution.
SIMPLE COLORING (See more than one dissimilar color):
In this criteria, only one color will be the solution for two candidates who “sees” another Candidate if they both have a place in the same region. These two candidates of dissimilar colors are disinterested, and we don’t know them.
Look at Candidate 5 in B1 in the image when it sees a blue candidate 5 in B6 and another pink candidate 5 in H1 in this scenario.
Candidate 5 in B1 is excluded by one of the two latter, which is the solution for that present Cell.
Sudoku – Multi Coloring
Indifference to Simple Colors, Multi-Colors is another type of coloring in Sudoku that practice more than two colors in the game.
This is a practice that uses only one digit.
The player picks a digit then traces colors to all of the conjugate pairs in the grid.
When one candidate is linked to various conjugate pairings, all of the candidates to which it is connected will have the same color, which can be unlike then one candidate’s color.
After this practice, a group of candidates appears. Each cluster usually has two colors because it can only comprise conjugate pairings. The candidates in the group are color-coded according to their equivalence.
Multiple clusters are utilized in Multi-Colors. This is, however, not considerably different from Simple Colors.
The mainstream players begin coloring to see what kind of results they would get.
If a move is notorious and only requires one cluster, it is referred to as Simple Colors. On the other hand, it is acknowledged as Multi-Colors. It’s not a decent idea to start another time with MC.
This occurs when two candidates are peers in two clusters.
They cannot consider both as true at the same time.
These colors are jointly exclusive in terms of coloration.
We contend there is a fragile link between these candidates in chaining orders. There is also another way to put these clusters together and connect them by a bridge.
Consider the following scenario:
Take an example of A-B and C-D; these are the two conjugate pairs. C is only tangentially related to A.
They are impossible to be true at the same time.
As a result, either B or D must be accurate, although both may be correct.
They’re a matched pair. Any applicant who can see both of them will be eliminated at this point.
Color Wing is another term for this type of motion. X-Chains have the same power as Multi-Colors have.
Image 1 :
Cluster #1’s blue cell (r3c2) observes a brown cell (r5c2) from cluster #2, whereas cluster #2’s blue cell (r2c4) observes a purple cell (r5c4) from cluster #2. Because digit 8 is necessary for either the brown or purple cells, it can be excluded from all blue cells. As a result, you can utilize digit 8 in all green cells.
The blue Cell of Cluster #1 (r1c1) collides with the purple Cell of Cluster #2. (r1c4). This means that digit 2 isn’t present in either the blue or purple cells, meaning that the numeral 2 is present in either the green or brown cells. As a result, the number 2 cannot be present in any cell visible to both green and brown cells. This answers why r4c5’s digit 2 has been erased.
Sudoku – Color Wrap
Color Wrap is a coloring technique that reveals a conflict in one of the parties in a distinct cell, so removing candidates for that party.
Because the opposing party candidates can be placed in their appropriate cells, this is a placement technique rather than an elimination plan.
Color Wrap is a member of the Simple Colors group and Color Trap.
Every coloring move can be easily duplicated via a chain.
However, most players prefer to use colors because it is a more visual strategy. Here’s an illustration:
The choices for digit 1 have all been mentioned.
They’re all part of a large set of conjugate pairings, except for one.
The colors of the two parties in this cluster are green and blue.
All candidates with much the same color are equal, indicating they all have digit 1 or none.
In other words, they are either true or false as a group.
In the example, the blue candidates cannot be valid together since there would be conflicts in row 1, column 5, and box 2.
The only other possibility is that all green hues are correct. Each of the green cells can be filled with the number one.
Sudoku – Color Trap
Color Trap is a coloring strategy that executes knockouts outside a single cluster of only two colors.
This procedure is part of the Simple Colors group and the Color Wrap.
What is the mechanism behind it?
The following example exemplifies the principle:
All The choices for digit 3 have all been highlighted.
Whenever a digit in a row, column, or box has only two options, one of them would be true, and the other must be false.
There is a strong link between these two options.
In terms of coloring, these options constitute a conjugate pair.
Colors can help us recall which candidates are true and which are false at the same time.
In this example, the colors green and blue have been employed.
There are two alternatives for digit 3 in row 9, column 9, and box 9, which are now colored in different directions.
All blue or all green cells must now contain the number 3.
There is no such thing as a “middle ground” when digit 3 appears in both blue and green cells. Cell r2c6 can see both colors. It is unable to back a candidate for the third digit.
That’s all for today. I hope this sheet helped you understand the famous Sudoku color tactics. Have a great day!