Fata Morgana Wrapped in Pink Olive


In this post, the solution of the well known monster Fata Morgana is reached via pattern analysis, on a trial of pink patterns vs olive patterns, a frequently used Sysudoku extreme method.

In the previous post, the orange candidates of a nice loop cluster was confirmed for the exocet base solution 3 and 6. Readers were invited to do their own pink olive freeform analysis of the 1-candidates.

FM 1 pink oliveTwo pink and four olive patterns were found. One orphan candidate was left out of the six possible patterns. In the left panel, the light blue freeforms show failed attempts at complete patterns. The shaded cells designate three candidates in all pink patterns and three in all olive patterns. One of those sets must be true with the true 1-pattern being that color. The other set must be false.

FM 36 pink olive gridOn the grid, candidates included in patterns of only one color are shaded. In a trial, candidates in all patterns of a color are starting clues, and candidates visited only by patterns of the other color are removed. This makes it a trial of one color or the other, pink or olive.

This suggests we may be one or two trials away from a solution. We try pink patterns first.

FM pink remote pairIn the pink trial, the trial trace is extended by a remote pair, as shown here, which confirms NE8.

The trace runs to the solution of Fata Morgana. In the tradition of monster reporting, I’ll not show the solution , but following the trace after NE8 to the solution is easy.

 

 

Next post will close the books on the FM with the olive trial. That’s anti-climactic, I know, but I do it to show what would happen if we happen to choose the olive trial first, and as an example of good practice against multiple solutions.

FM final trace

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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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2 Responses to Fata Morgana Wrapped in Pink Olive

  1. Djino Glibota says:

    whether there is another pink pattern for “1” : r1c8;r3c6;r4c5;r5c2;r6c9;r7c1;r8c4.

    • Sudent says:

      Good question, Djino. The pink and olive colors are associated with freeforms started on one side of the panel. They divide patterns into two groups. The freeforms of the post are West to East. The freeform of your question goes North to South. The pink in that direction is not post pink. It’s just that, the true pattern does have a West to East freeform, and it’s candidates are all the post’s pink or all the post’s olive.

      Now if you do all the freeforms North to South, you may find them divided in a way that enables you to find which group the true pattern is in. The art is to pick the starting side, but there isn’t much science to help you do it.

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