LPO Color Trial on the HM Easter Monster


LPO pattern analysis is enlisted in the primary color trial of Hanson and Marans’ Easter Monster.

HMEM final clustersTwo clusters have been constructed by linking the 4/6 slink loops of W and S boxes along with the 3/7 slink loops of the SW and C boxes. Sysudoku prefers Medusa coloring to H & M strong link chains as a representation of the slink field.

The new red/orange cluster traps four candidates and expands further, but the 3 and 7 candidates and blue/green cluster is unaffected.

HMEM clustersWe drop the slink marking of the loops, since the slink information is now completely represented in the coloring.

From this point, Hanson and Barans found red vs orange trials to be “relatively straightforward checking, including almost-locked pair analysis” to decide on red and find the solution. I think we’d better find out how hard that is with Sysudoku tools, starting with an orange trial. I’ll leave it to a sysudokie reader to tell us where the ALS pair removals are.

HMEM 3746 patternsI’ll start with a pattern analysis of 3, 7, 4 and 6. I freeformed six patterns each for 3, 7 and 6. Fortunately for 4, there were only two. Thus on an orange or red trial, cells can be reserved for the sole 4 pattern. The reservations on behalf of 4 are marked on the other panels, revealing the patterns that these reservations eliminate.

On our orange trial we can eliminate:

3 blue short dashed,

3 green short dashed,

7 blue long dashed,

7 blue short dashed,

7 green short dashed and 7 green long dashed.

On a red trial, we can eliminate 3 blue solid, 3 greenshort dashed, 3 green long dashed, 7 blue long dashed and 7 green solid.

HMEM orange trial patternsAs patterns depart on the orange trial, orphans are created.

 

 

 

 

HMEM orange 2 7sBetween traps and orphans, blue/green fills out in 7.

 

 

 

 

 

 

 

 

HMEM orange 6 patsOf the three 6-patterns allowed by orange, the green solid is rejected by both blue and green, leaving orphans 6r2c1 and r3c9. 6r3c1 is confirmed, expanding blue/green.

 

 

 

 

 

HMEM orange bg to 2 8

 

The expansion brings in 8 and 2, but the new blue 2r7c1 goes too far, stripping cell r7c2 of all candidates. Suddenly orange is defended only by green.

HMEM 2 kills blue

 

 

 

 

 

 

 

 

HMEM green fishGreen is given the orange 6 pattern, and does its best, delivering a load of fish. A 1-wing and a 9-swordfish, specifically.

The 1-wing, in particular generates a series of unfortunate events for orange.

 

 

 

 

HMEM orange rejectedThe W naked pair 28 confirms W1, which turns on C8, C5, and C1. C5 enables the S naked pair 29 to strip a 2, and it strips a 5, from r1c5. And C1? It confirms E1, rejecting the long dashed pattern and with it, the last remaining candidate in r1c5.

So we have accomplished H & M’s “relatively simple matter” getting us to the orange color wrap. Next time, we’ll use it to get to the solution of the HM Easter Monster.

Or maybe you’re not going to wait that long. Be my guest.

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About Sudent

My real name is John Welch. I'm a happily married, retired professor (computer engineering), timeshare traveling, marathon running father of 3 wonderful daughters and granddad to 7 fabulous grandchildren. The blog is about Sudoku solving. It covers how to start, basic solving to find candidates efficiently, and advanced solving methods in an efficient order of battle. It is about human solving methods, not computer solving.
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