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Børge
PostPosted: Thu Jan 15, 2009 1:46 pm 
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Joined: Mon Apr 21, 2008 10:32 am
Posts: 868
There are seven puzzles and five difficulties to choose from.
All seven puzzles have the same solution.

A) Novice.
B) Apprentice (mainstream edition).

C) Master (11 Intersections, 1 Uniqueness Test 1 in g4, 1 late Skyscraper in g9, 1 very late XY-X-Chain up to 3 links in g7). Select to view GRID numbers.
The advanced techniques are needed in 3 different grids.
Some vauge none-solving hints:
Hidden Text:
After a mere 10 Intersections and a bunch of N/H-Singles, both the Uniqueness Test 1 and the Skyscraper are visible.
One more Intersection in the right grid together with some N/H-Singles all over, also exposes the XY-X-Chain.

An easier solving path is to use more Intersections, N/H-Singles and a couple of easy Naked Pairs to solve all grids except four.
Now the Uniqueness Test 1 is easier to spot. The puzzle can then be solved further, leaving only two grids unsolved.
Then the easiest is to find the Skyscraper, solve it and the grid it is in.
In the final unsolved grid the XY-X-Chain lurks in the deep.
A mini-mini Walktrough:
Hidden Text:
Image
D) Wizard.
E) Chief Wizard 1. Solvable using logic only? JSudoku needs 1 Recursively Solve, which makes 10 guesses and traverses 10465 nodes.
F) Chief Wizard 2. Solvable using logic only? JSudoku needs 1 Recursively Solve, which makes 25 guesses and traverses 24345 nodes.
G) Chief Wizard 3. Solvable using logic only? JSudoku needs 1 Recursively Solve, which makes 27 guesses and traverses 36433739 nodes.



Regular Clueless Explosion #38A (Novice)

Rating based on required solving techniques:  Moderate

Image

000000025000000000000037400000001008000006000050009060004000009000100000900400500
000000000003006000100000060000007005000000000015060430000000013000005900900608020
106000000000000201040080003000000089900500000400060500000000050300408000000013020
000040030500000006020680400040020080700000000000500704230050000000009200007000800
000000000003004900090100000000000008000003000280900300450000000000006800000070006
000402000000000006000500001000000300400000009300048720000000100001006000080035600
000010000900000005001008390000007900200000000000040003000000006000000000807001024
001000070000000000030900040000000020004003006009000007000006000007000300090001002
000051200000000000006000700000040008000000006031006000000400009000000800078005003



Regular Clueless Explosion #38B (Apprentice)

Rating based on required solving techniques:  Moderate

Image

000000025000000000000037400000001008000006000050009060004000009000100000900400500
000000000003006000100000060000007005000000000015060430000000013000005900900608020
106000000000000201040080003000000089900500000400060500000000000300408000000013020
000040030500000006020680400040020080700000000000500704230050000000009200007000800
000000000003004900090100000000000008000003000280900300450000000000006800000070006
000402000000000000000500001000000300400000009300048720000000100001006000080035600
000000000900000005001008390000007900200000000000040003000000006000000000807001024
001000070000000000030900040000000020004003006009000007000006000007000300090001002
000051200100000000006000700000040008000000006031006000000400009000000800078005003



Regular Clueless Explosion #38C (Master)

Rating based on required solving techniques:  Ultra Hard

Image

307000020000004000000037400000300008100006000050009060004000009000100004000400500
000080370000006000100000060000000005300000000010060430000090003000005900000608020
106300000000000201000080000000100089900500000000060000000000350300408000000013020
000000030500000000020680400600020080000000000000000704230050600000009200007000800
000000001803004000090000007000000200000003000280900300450800000000006800000370000
000402000000800006642000001000000300400000009000040720900700000000006000080000690
000010000900000005001008092600000901000100000005040000000000006000000000807301020
001000070000000000030950048000000020004003006000010007002306000000200300090001000
000051200100000300000000700005040038000000006031006000000400009004300000070005000



Regular Clueless Explosion #38D (Wizard)

Rating based on required solving techniques:  Nightmare

Image

307000020000004000000007400000300008000006000050009060004000009000100000000000500
000080370000006000100000060000000005300000000010060430000090003000005900000608020
106300000000000201000080000000100089900500000000060000000000350300408000000010020
000000030500000000020680400600020080000000000000000704230050600000009200007000800
000000001800004000090000007000000200000003000280900300450800000000006800000370000
000002000000800000642000001000000300400000009000040720900700000000006000080000690
000000000900000005001008092600000901000000000005040000000000006000000000807301020
001000070000000000030950048000000020004003006000010007002306000000200300090001000
000051200000000300000000700005040008000000006031006000000400009004300000070005000



Regular Clueless Explosion #38E (Chief Wizard 1)

3 Naked Singles
56 Hidden Singles
57 Intersections
2 Naked Pairs
1 Naked Triplets
4 Hidden Pairs
1 X-Wing
1 Swordfish
5 Two String Kites
9 Empty Rectangles
2 Turbot Fishes
2 Finned Swordfish
4 Grouped Turbot Fishes
1 Y-Wings
2 Uniqueness Test 6
8 XY-X-Chains up to 3 links
4 XY-X-Chains
3 Grouped XY-Chains up to 3 links
8 Grouped XY-Chains
6 ALS-XZ
1 Recursively Solve: Unique solution found with 10 guesses, 10.465 nodes traversed

Rating based on required solving techniques:  Hellish Nightmare   Solvable using logic only?

Image

000000025000000000000037400000001008000006000050009060004000009000000000900400500
000000000003006000100000060000007005000000000015060430000000013000005900900608020
106000000000000200040080003000000089900500000400060500000000000300408000000013020
000040030500000006020680400040020080700000000000500704230050000000009200007000800
000000000003004900090100000000000008000003000280900300450000000000006800000070006
000002000000000000000500001000000300400000009300048720000000000001006000080035600
000000000900000005001008390000007900200000000000040003000000006000000000807001024
001000000000000000030900040000000020004003006009000007000006000007000300090001002
000051200000000000006000700000040008000000006031006000000400009000000800078005003



Regular Clueless Explosion #38F (Chief Wizard 2)

14 Naked Singles
52 Hidden Singles
71 Intersections
3 Naked Pairs
2 Naked Triplets
2 Naked Quads
2 Hidden Pairs
2 Skyscrapers
1 Two String Kites
3 Empty Rectangles
1 Turbot Fishes
1 Finned Swordfish
1 Grouped X-Wing
3 Grouped Turbot Fishes
4 XY-X-Chains up to 3 links
5 XY-X-Chains
1 Grouped XY-Chains up to 3 links
1 Grouped XY-Chains
1 Hidden Unique Rectangle
2 ALS-XZ up to 5 cells
8 ALS-XZ
1 Recursively Solve: Unique solution found with 25 guesses, 24.345 nodes traversed

Rating based on required solving techniques:  Hellish Nightmare   Solvable using logic only?

Image

307000020000004000000007400000300008000006000050009060004000009000100000000000500
000080370000006000100000060000000005300000000010060430000090003000005900000608020
106300000000000201000080000000100089900500000000060000000000350300408000000010020
000000030500000000020680400600020080000000000000000704230050600000009200007000800
000000001800004000090000007000000200000003000280900300450800000000006800000370000
000002000000800000642000001000000300400000009000040720900700000000006000080000600
000000000900000005001008092600000901000000000005040000000000006000000000807301020
001000070000000000030950048000000020004003006000010007002306000000200300090001000
000051200000000300000000700005040008000000006031006000000400009004300000070005000



Regular Clueless Explosion #38G (Chief Wizard 3)

11 Naked Singles
51 Hidden Singles
71 Intersections
2 Naked Pairs
2 Naked Triplets
2 Naked Quads
2 Hidden Pairs
2 Skyscrapers
1 Two String Kites
2 Empty Rectangles
1 Turbot Fishes
1 Finned Swordfish
1 Grouped X-Wing
2 Grouped Turbot Fishes
1 Y-Wings
4 XY-X-Chains up to 3 links
5 XY-X-Chains
1 Grouped XY-Chains up to 3 links
1 Grouped XY-Chains
2 ALS-XZ up to 5 cells
7 ALS-XZ
1 Recursively Solve: Unique solution found with 27 guesses, 36.433.739 nodes traversed

Rating based on required solving techniques:  Hellish Nightmare   Solvable using logic only?

Image

307000020000004000000007400000300008000006000050009060004000009000100000000000500
000080370000006000100000060000000005300000000010060430000090003000005900000608020
106300000000000201000080000000100089900500000000060000000000350300408000000010020
000000030500000000020680400600020080000000000000000704230050600000009200007000800
000000001800004000090000007000000200000003000280900300450800000000006800000370000
000002000000800000642000001000000300400000009000040720900700000000006000080000600
000000000900000005001008092600000901000000000005040000000000006000000000807301020
001000070000000000030950048000000020004003006000010007002306000000200300090001000
000051200000000300000000700005040008000000000031006000000400009004300000070005000

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