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Børge
 Post subject: Regular Samurai #21
PostPosted: Mon Sep 15, 2008 4:33 pm 
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Posts: 868
There are four difficulties to choose from.
All four puzzles have the same solution.

A) Novice
B) Apprentice (mainstream edition).
C) Master (27 Intersections, 6 Naked Pairs, 2 Naked Triplets, 1 Skyscraper in g2, 1 Turbot Fish in g4). The Skyscraper and the Turbot Fish are required in different grids.
D) Grand Master (36 Intersections, 7 Naked Pairs, 1 Naked Triplet, 1 Uniqueness Test 1 in g2, 1 Turbot Fish in g4, 1 Finned X-Wing in g2, 1 Uniqueness Test 3 in g2, 1 XY-Chain up to 5 links in g4).

I will post a second post with a mini-mini Walktrough of the Master level puzzle, including a detailed explanation of the Turbot Fish (which also is an X-Chain).



Regular Samurai #21A (Novice)

Rating based on required solving techniques:  Moderate

Image

008004000407100600000500000000005090090000080010030405003800000000000000009047000
590000000001020050000800001004000002006003010000500890000270040000000007000086200
000704000000090000000001000080040030006003100002005004000010000000007000000000000
900000000000248000800000000400000100053807000000650038004093010005400007001000000
000080009000600050000000600002718000003000540080000700000002060010004000600001304



Regular Samurai #21B (Apprentice)

Rating based on required solving techniques:  Tough

Image

008000000407100600000500000000005090090000080010030405003800000000000000009047000
590000000001020050000800001004000002006003510000500890000070040000000007000086200
000704000000090000000001000080040030006003100002005004000010000000007000000000000
900000000000208000800000000400000105053807000000650038004093010005400007001000000
000080009000600050000000600002018000003000540080000700000002060010004000600001304



Regular Samurai #21C (Master)

Rating based on required solving techniques:  Extra Hard

Image

008000000407100600000500000000005090090000080010030405003800000000000000009047000
590000000001020050000800001004000002006003010000500890000070040000000007000086200
000704000000090000000001000080040030006003100002005004000010000000007000000000000
900000000000248000800000000400000100053807000000650038004093010005400007001000000
000080009000600050000000600002018000003000540080000700000002060010004000600001304



Regular Samurai #21D (Grand Master)

Rating based on required solving techniques:  Ultra Hard

Image

008000000407100600000500000000005090090000080010030405003800000000000000009047000
590000000001020050000800001004000002006003010000500890000070040000000007000086200
000704000000090000000001000080040030006003100002005004000010000000007000000000000
900000000000040000800000000400000100053807000000650030004093010005400007001000000
000080009000600050000000600002718000003000540080000700000002060010004000600001304

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Last edited by Børge on Mon Sep 15, 2008 5:55 pm, edited 1 time in total.

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Børge
 Post subject: Re: Regular Samurai #21
PostPosted: Mon Sep 15, 2008 4:35 pm 
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Here a mini-mini Walktrough of the Master level puzzle, including a detailed explanation of the Turbot Fish (which also is an X-Chain).
Hidden Text:
What I like about this puzzle is that the Skyscraper and the Turbot Fish both are needed early on, making them pretty difficult to find :twisted:
The Skyscraper is on 7 in g2:r14 (green cells). The Turbot Fish is on 6 in g4 (blue cells).

Image


Here a detailed explanation of the Turbot Fish on 6 (which also is an X-Chain on 6):
g4:r7c9 must be either 2 or 6.

1) Assume g4:r7c9 = 2
=> g4:r7c1 = 6 (only other pencil 6 in r7) [strong link]
=> g4:r5c1 <> 6 [weak link]
=> g4:r4c2 = 6 (only other pencil 6 in n4) [strong link]
=> g4:r4c9 <> 6 [weak link]

2) Assume g4:r7c9 = 6
=> g4:r4c9 <> 6 [weak link]

CONCLUSION: Regardless which of the values 2 and 6 g4:r7c9 takes, g4:r4c9<>6.

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