When describing the X-Wing and Swordfish on our strategy page we introduced a good deal of logic. Simple Colors uses only two different colors.


Sudokuwiki Org Single S Chains

I had a lot of fun writing this section.

Simple coloring sudoku strategy. This is the real meat of the game. X-Colors Uses only 2 colors but also takes the implications for each color into account. Some of the techniques are hard to follow at first and even harder to spot in a puzzle.

Thinking clearly about coloring involves thoughtful partioning of native strong sets. This is a vital trick and we will use it to build some very sophisticated rules. Advanced Sudoku Strategies - Coloring Simple Colors Uses only 2 colors to form a single color cluster.

The reason is that I just love the logic in these techniques. The red square in the above image is the pivot. BoxLine Reduction Intersection Removal Strategy Simple Coloring Singles Chains Strategy X-Wing Strategy X-Wing is a strategy in which you find a candidate that appears twice in two different rows and those appearances are both in the same column OR the candidate appears twice in two different columns and those appearances are.

For each strong connection make one candidate one color and the other candidate another color and make sure these colors match up as strong connections linked together. The tactics involved looking beyond one or two groups of squares in isolation in order to tackle interlocking groups. So if one square contains eight of those colors it is easy to identify which ball should go in the final cell.

How to use Simple Coloring. Both these strategies rely on looking at pairs of squares. The Sudoku Strategy page explains most but not all of the simpler pattern-matching techniques.

Color Appears Twice in a Unit. You have nine colors. Demonstration and explanation of how to use Two Colors to map out a network of Conjugate Pairs and then eliminate Candidates that are proven to be False by.

When to use Simple Coloring. Many solvers would use multi-coloring for the elimination above. SIMPLE COLORING TWICE IN A UNIT.

Sudoku - Basic Techniques. Color Trap A technique that uses. Y-Wing starts with a square that contains exactly two candidates.

Multi-Colors Supercoloring Uses multiple colors 4 6 or a higher multiple of 2 to form multiple color clusters. Sudoku Dragon has six different colors available for use and the color allocation can be undone and re-done just like setting square possibilities. Simple Colouring or Chains.

This strategy looks for a cell in the puzzle that is not in the conjugate pair tree but is in the same unit as a cell of each color in the colored tree of conjugate pairs. The Simple Coloring Type 1 example in Figure 1 shows a colored tree of. Simple Coloring also known as Singles Chains is a strategy that allows you to eliminate candidates by looking for contradictions.

First look for cells in which only one color can fit. When a row column or box contains only 2 candidates for a digit one of them must be true and the other must be false. Simple Colors Simple Colors is a subtype of coloring which only uses 2 colors.

You can use Y-Wing if each of the two candidates in the pivot forms a conjugate pair in two different units. Starting with one cell of a conjugate pair the colors are applied until no colored cell has a conjugate partner cell left. Hence the other color is the solution.

In most cases two colors is quite enough. Many of the more interesting and advanced strategies use links or chains of conjugate pairs candidates that occur just twice in a row column or box. Here are some tips to get you started.

The two end points of the conjugate pairs are sometimes referred to as. All the candidates for digit 3 are highlighted. To use the coloring technique first color-in all these strong connections for a given candidate.

After that the grid is scanned for one of two possible contradictions. In fact one color is enough for the elimination above. All candidates with this color can be eliminated.

Weak Colors Extends Simple-Colors by the use of hinge linkages. How it works 1 The following example demonstrates the principle. Color marking For really tricky puzzles you may need to mark squares to let you see patterns to help solve them.

Any grouping of puzzle possibilities that contains at least one item that must be true. To start with lets look at a. These candidates have a strong link.

Weve been sent a NYT hard puzzle - but it turns out not to be too hard after all. This square is sometimes called a pivot or hinge. Simple Coloring Type 1.

Brown white green blue pink yellow red grey and purple. Techniques explained here include. If two Nodes in the Chain belong to the same region Row Column or Square and if they have the same color then this color can not be the solution because a candidate can not be the solution for two cells in the same region.

Opposite Colors in the Same Unit. Of course the game isnt always so simple. But with some practice youll be.


Coloring Sudoku Solving Techniques


Hodoku Solving Techniques Coloring Simple Colors Multi Colors Color Wrap Color Trap


Sudoku Simple Coloring Strategy Explained


Simple Coloring Singles Chains Strategy Sudoku


Sudoku Simple Coloring Strategy Explained


Simple Coloring Singles Chains Strategy Sudoku