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Example 2. Chains start at conjugate.

300270005004006000050000000200004093900000006030100008003000020000300500600081937

After making basic moves the puzzle is as shown in the diagram. In this e ...

2 Chain Logic Rules

I am a big fan of 2-chain logic, primarily because it can result in a lot of cell eliminations. It can also result in forcing but that topic is well covered in all of the solv ...

000400150001095040005012030009000004000526000800000600070100400000050700013008000

After making basic moves the puzzle is as shown in the diagram. At this point I look for the most powerful advance ...

Thanks Don,
I learned a lot about ALS's from your tutorial. Also thanks to everyone else for your helpful comments.

Hi Paul,
First of all, let me say that Allan Barker initiated the Death Blossom. I have been able to contact him in the past to ask questions at his site Sudokuone.com and he is very gracious about ...

I apologize Ron, My Bad. I now clearly see that the conjugate linkage is redundant. So your way is better. I will say that this is the most powerful singly-linked ALS-XZ I have ever seen. Because ...

Thanks for your reply Ron. I still think that 1 move is better than 2 but I respect your opinion. In a sense, the conjugate linked ALS's are quasi or psuedo ALS-XZ's since the 2 ALS's have the same ...

200041000306000500000500090021000000040126080000000200070008000002000703000470806

After basic moves the puzzle is as shown in the diagram. The 2 ALS's are labeled A and B in Box 1 and 3. The 1 gr ...

Good moves Ron. I could argue that 1 move is better than 2, but that is a matter of opinion. Actually the ALS-XZ I was originally looking at was (1459)r2c578 and (249)r8c38, rcd=9.

083000070200300008000009060000070630001000900030060000070200000800005006090000140

After a single basic move the puzzle is as shown in the diagram below. The pivot for the death blossom is labeled ...

000000200500800610100004000001690003007083900200047006005300008012008007006000000

After making basic moves the puzzle is as shown in the diagram below. The 4 cells in the almost hidden XY-Ring iar ...

Hi DAJ aqnd Asellus.
Asellus, the relationship between the two eliminations is that they are both dependent on the fact that r7c2 inclusive-or r6c9 = 9. If this were not true, neither elimination ca ...

000002090070000504050009000004290080600030002020070100000800050501920060080400000

After basic moves the puzzle is as shown in the diagram below. The 9 ER cells are marked with * and the 156 extens ...

I have found several examples of this technique and not all of them are extended. A multidigit X-Wing consist of 4 cells with 4 conjugate digits. This basic technique uses 4 cells with 3 conjugate di ...

After reviewing my notes I had listed the candidates in r1c6 as 24 rather than 247 which means that this post is wrong. This is why you can't find the CNL, Ron. I apologize for this and would like t ...

Some time ago, I gave an example of a 2 digit discontinuous NL pattern(S-Wing) which is also a 3 digit continuous NL. This example illustrates that the inverse can also be true. In this case a 3 dig ...

Hi keith,
Here is the original puzzle with no basic moves. I will try to include this with any future posts.

+----------------------+---------------------+------------------------+
| 348 9 ...

The cells in a 23 S-Wing are labeled *. The extension is labeled #.
The pivot at r8c3 results in either r3c1=2 or r5c1 =3 and r1c1=4. This => that r3c1<>34.

Extended S-Wing Example
...

The extended M-Ring in the example has forcing path cells denoted by *. These paths are: (2)r3c7-r9c7=(2)r9c5 and (8)r3c7-r13c9=(8)r7c9-r9c78=(8)r9c5. This proves that r3c7=r9c5 = 28 => r3c7<& ...

Hi Ted,
If you are having trouble finding more information on this it could be because you are using the wrong terminology. The correct terminology is continuous nice loop, which is often called con ...