Cascade of Eliminations for a Single Digit

Everything about Sudoku that doesn't fit in one of the other sections

Cascade of Eliminations for a Single Digit

Postby daj95376 » Thu Jan 25, 2007 4:37 am

How about a single-digit Chain/Loop in <2> that results in 7 assignments and 23 eliminations in <2> ... followed by the puzzle solving in Singles.

Code: Select all
1..45.7..4..7.9.1.9.8..3..4...97...5.........8...15...7..6..5.3.9.5.8..7..5.97..8

 *--------------------------------------------------------------------*
 | 1      236    236    | 4      5      26     | 7      8      9      |
 | 4      5      26     | 7      8      9      | 3      1      26     |
 | 9      7      8      | 1      26     3      | 26     5      4      |
 |----------------------+----------------------+----------------------|
 | 236    12346  12346  | 9      7      246    | 8      2346   5      |
 | 5      2346   79     | 8      236    246    | 2469   23467  1      |
 | 8      2346   79     | 23     1      5      | 2469   23467  26     |
 |----------------------+----------------------+----------------------|
 | 7      8      24     | 6      24     1      | 5      9      3      |
 | 236    9      12346  | 5      234    8      | 1246   246    7      |
 | 236    12346  5      | 23     9      7      | 1246   246    8      |
 *--------------------------------------------------------------------*

Code: Select all
(2) ![r2c9] => [r2c3] => ![r7c3] => [r7c5] => ![r9c4] => [r6c4] => ![r6c9] => [r2c9]
     => [r1c2],[r3c5],[r4c1],[r5c6],[r7c3],[r9c4] =>
     total of 7 assignments and 23 eliminations in <2>

Anyone have a longer cascade of eliminations for a single digit?
daj95376
2014 Supporter
 
Posts: 2624
Joined: 15 May 2006

Postby StrmCkr » Thu Jan 25, 2007 7:01 am

removed
Last edited by StrmCkr on Sat Dec 13, 2014 6:38 am, edited 1 time in total.
Some do, some teach, the rest look it up.
User avatar
StrmCkr
 
Posts: 625
Joined: 05 September 2006

Re: Cascade of Eliminations for a Single Digit

Postby ronk » Thu Jan 25, 2007 1:34 pm

daj95376 wrote:
Code: Select all
(2) ![r2c9] => [r2c3] => ![r7c3] => [r7c5] => ![r9c4] => [r6c4] => ![r6c9] => [r2c9]
     => [r1c2],[r3c5],[r4c1],[r5c6],[r7c3],[r9c4] =>
     total of 7 assignments and 23 eliminations in <2>

Anyone have a longer cascade of eliminations for a single digit?

I can see a purpose in counting the 7 assignments, but what's the reason for counting eliminations caused by cascading naked singles?
ronk
2012 Supporter
 
Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

Re: Cascade of Eliminations for a Single Digit

Postby daj95376 » Thu Jan 25, 2007 5:30 pm

ronk wrote:I can see a purpose in counting the 7 assignments, but what's the reason for counting eliminations caused by cascading naked singles?

The assignment information was just an FYI on which cells caused the eliminations. I thought it would save time and space over marking and including a PM.

I'm not just counting ANY cascade of singles, I'm counting a cascade for a single digit. After this cascade, then a second cascade of singles (for other digits) just happens to solve my puzzle. This second cascade is not a requirement!

I just thought it'd be interesting to see how many eliminations could cascade for a single digit. It seemed like something new to investigate ... and so I'm trying to start a contest.

(Note: You must start with a valid puzzle that has all initial Singles, N-tuples, and Locked Candidates resolved. Any other eliminations must be explained up to when the cascade occurs. No creating dummy PMs that are designed to unravel as a long cascade.)
daj95376
2014 Supporter
 
Posts: 2624
Joined: 15 May 2006


Return to General