The SUPERIOR THREAD (Second collection)

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

The SUPERIOR THREAD (Second collection)

Postby tarek » Tue Jan 09, 2007 3:18 pm

Following several successful threads aiming at collecting puzzles with similar qualities in one place, this thread will follow the prvious "Superior thread".

The qualities of the puzzles submitted should essentially be the same as the last thread but few extra constraints will be in force. aiming at EASIER to spot techniqies for Pen & paper solvers.

So, tougher job for compilers, more enjoyable puzzle to solve

Code: Select all
The SUPERIOR THREAD (Second collection) Rules:
1. Valid vanilla 9*9 sudoku
2. Symmetric (I-VII)
3. Minimal
4. Solved using the following set of techniques (gsf's -qFNBT2H2T3W2H3-G):
   4.1. Singles (Hidden/Naked)
   4.2  Box-Line/Line-Box interactions
   4.3. Doubles (Hidden/Naked)
   4.4. Triples (Hidden/Naked)
   4.5. X-Wings
5. At least 1 of the following techniques is required:
   5.1. Naked triple
   5.2. Hidden triple
   5.3. X-Wing
6. Regarding non-single moves in the solution:
   6.1. Each is followed by Single(s) (4.1)
   6.2. NO alternative non-single move (4.2,4.3,4.4,4.5) is simultaneously present
   6.3. NO other move (4.1,4.2,4.3,4.4,4.5) is simultaneously present

Eligible puzzles will be posted in this head post either in graphic or line formats following a chronological order. After a certain period of time, 100 puzzles will be picked out and presented as the 100 superiors leaving the rest as line format puzzles in small fonts. the puzzles will be picked according to a weighting system which has not been finalised yet but essentially should be biased towards hidden triples 1st & x-wings 2nd .... the number/variety of non single moves and puzzle design may be considered.

This is a list in chronological order of Superior 2 eligible puzzles in line & graphic formats:

Code: Select all
tarek 0001
000900371000005060000180050908000000002003008060078009600000003287000005500061480
 . . . | 9 . . | 3 7 1 
 . . . | . . 5 | . 6 . 
 . . . | 1 8 . | . 5 . 
-------+-------+------
 9 . 8 | . . . | . . . 
 . . 2 | . . 3 | . . 8 
 . 6 . | . 7 8 | . . 9 
-------+-------+------
 6 . . | . . . | . . 3 
 2 8 7 | . . . | . . 5 
 5 . . | . 6 1 | 4 8 . 

tarek 0002
080000000201900065040000900090006047000005100000270090008050004060308009050100780
 . 8 . | . . . | . . . 
 2 . 1 | 9 . . | . 6 5 
 . 4 . | . . . | 9 . . 
-------+-------+------
 . 9 . | . . 6 | . 4 7 
 . . . | . . 5 | 1 . . 
 . . . | 2 7 . | . 9 . 
-------+-------+------
 . . 8 | . 5 . | . . 4 
 . 6 . | 3 . 8 | . . 9 
 . 5 . | 1 . . | 7 8 . 

tarek 0003
500609008000000000064000790070010020008000300090374010000050000050901070430000085
 5 . . | 6 . 9 | . . 8 
 . . . | . . . | . . . 
 . 6 4 | . . . | 7 9 . 
-------+-------+------
 . 7 . | . 1 . | . 2 . 
 . . 8 | . . . | 3 . . 
 . 9 . | 3 7 4 | . 1 . 
-------+-------+------
 . . . | . 5 . | . . . 
 . 5 . | 9 . 1 | . 7 . 
 4 3 . | . . . | . 8 5 

tarek 0004
040007300020000046001080005003216000070004000009875000006050004090000068050002700
 . 4 . | . . 7 | 3 . . 
 . 2 . | . . . | . 4 6 
 . . 1 | . 8 . | . . 5 
-------+-------+------
 . . 3 | 2 1 6 | . . . 
 . 7 . | . . 4 | . . . 
 . . 9 | 8 7 5 | . . . 
-------+-------+------
 . . 6 | . 5 . | . . 4 
 . 9 . | . . . | . 6 8 
 . 5 . | . . 2 | 7 . . 
 
gsf 0004
300007000010800000050640280000030008009201500600080000024069030000008040000400006
 3 . . | . . 7 | . . . 
 . 1 . | 8 . . | . . . 
 . 5 . | 6 4 . | 2 8 . 
-------+-------+------
 . . . | . 3 . | . . 8 
 . . 9 | 2 . 1 | 5 . . 
 6 . . | . 8 . | . . . 
-------+-------+------
 . 2 4 | . 6 9 | . 3 . 
 . . . | . . 8 | . 4 . 
 . . . | 4 . . | . . 6 
 
gsf 0005
904050001020013008000000700010400009009607200200001030005000000600170080300060407
 9 . 4 | . 5 . | . . 1 
 . 2 . | . 1 3 | . . 8 
 . . . | . . . | 7 . . 
-------+-------+------
 . 1 . | 4 . . | . . 9 
 . . 9 | 6 . 7 | 2 . . 
 2 . . | . . 1 | . 3 . 
-------+-------+------
 . . 5 | . . . | . . . 
 6 . . | 1 7 . | . 8 . 
 3 . . | . 6 . | 4 . 7 

gsf 0010
780060000006030000030400028500100000002000300000007006450008010000010700000020049
 7 8 . | . 6 . | . . . 
 . . 6 | . 3 . | . . . 
 . 3 . | 4 . . | . 2 8 
-------+-------+------
 5 . . | 1 . . | . . . 
 . . 2 | . . . | 3 . . 
 . . . | . . 7 | . . 6 
-------+-------+------
 4 5 . | . . 8 | . 1 . 
 . . . | . 1 . | 7 . . 
 . . . | . 2 . | . 4 9 

gsf 0011
000400089050009203000000400042090800000206000001030560007000000508700020390005000
 . . . | 4 . . | . 8 9 
 . 5 . | . . 9 | 2 . 3 
 . . . | . . . | 4 . . 
-------+-------+------
 . 4 2 | . 9 . | 8 . . 
 . . . | 2 . 6 | . . . 
 . . 1 | . 3 . | 5 6 . 
-------+-------+------
 . . 7 | . . . | . . . 
 5 . 8 | 7 . . | . 2 . 
 3 9 . | . . 5 | . . . 

gsf 0012
409000308030208060000000000002306700010000080003801400000000000060702050305000104
 4 . 9 | . . . | 3 . 8 
 . 3 . | 2 . 8 | . 6 . 
 . . . | . . . | . . . 
-------+-------+------
 . . 2 | 3 . 6 | 7 . . 
 . 1 . | . . . | . 8 . 
 . . 3 | 8 . 1 | 4 . . 
-------+-------+------
 . . . | . . . | . . . 
 . 6 . | 7 . 2 | . 5 . 
 3 . 5 | . . . | 1 . 4 

gsf 0013
000080510000006400280050000001960050050000040090024600000010023003600000018030000
 . . . | . 8 . | 5 1 . 
 . . . | . . 6 | 4 . . 
 2 8 . | . 5 . | . . . 
-------+-------+------
 . . 1 | 9 6 . | . 5 . 
 . 5 . | . . . | . 4 . 
 . 9 . | . 2 4 | 6 . . 
-------+-------+------
 . . . | . 1 . | . 2 3 
 . . 3 | 6 . . | . . . 
 . 1 8 | . 3 . | . . . 

gsf 0014
000006100040500097000020300003168050000000000010294800008030000250009010001400000
 . . . | . . 6 | 1 . . 
 . 4 . | 5 . . | . 9 7 
 . . . | . 2 . | 3 . . 
-------+-------+------
 . . 3 | 1 6 8 | . 5 . 
 . . . | . . . | . . . 
 . 1 . | 2 9 4 | 8 . . 
-------+-------+------
 . . 8 | . 3 . | . . . 
 2 5 . | . . 9 | . 1 . 
 . . 1 | 4 . . | . . . 

gsf 0015
200004970040600802000700000400009320000050000089200001000001000305002060092800003
 2 . . | . . 4 | 9 7 . 
 . 4 . | 6 . . | 8 . 2 
 . . . | 7 . . | . . . 
-------+-------+------
 4 . . | . . 9 | 3 2 . 
 . . . | . 5 . | . . . 
 . 8 9 | 2 . . | . . 1 
-------+-------+------
 . . . | . . 1 | . . . 
 3 . 5 | . . 2 | . 6 . 
 . 9 2 | 8 . . | . . 3 

gsf 0016
200640900600030000007001030000000689009203100456000000070900300000020007002076005
 2 . . | 6 4 . | 9 . . 
 6 . . | . 3 . | . . . 
 . . 7 | . . 1 | . 3 . 
-------+-------+------
 . . . | . . . | 6 8 9 
 . . 9 | 2 . 3 | 1 . . 
 4 5 6 | . . . | . . . 
-------+-------+------
 . 7 . | 9 . . | 3 . . 
 . . . | . 2 . | . . 7 
 . . 2 | . 7 6 | . . 5 

gsf 0017
006030500010000070004708300500403008040000030100805007009604700020000010001050800
 . . 6 | . 3 . | 5 . . 
 . 1 . | . . . | . 7 . 
 . . 4 | 7 . 8 | 3 . . 
-------+-------+------
 5 . . | 4 . 3 | . . 8 
 . 4 . | . . . | . 3 . 
 1 . . | 8 . 5 | . . 7 
-------+-------+------
 . . 9 | 6 . 4 | 7 . . 
 . 2 . | . . . | . 1 . 
 . . 1 | . 5 . | 8 . . 

gsf 0018
004301900070050060000906000008405100400010005003207400000708000080040010007109200
 . . 4 | 3 . 1 | 9 . . 
 . 7 . | . 5 . | . 6 . 
 . . . | 9 . 6 | . . . 
-------+-------+------
 . . 8 | 4 . 5 | 1 . . 
 4 . . | . 1 . | . . 5 
 . . 3 | 2 . 7 | 4 . . 
-------+-------+------
 . . . | 7 . 8 | . . . 
 . 8 . | . 4 . | . 1 . 
 . . 7 | 1 . 9 | 2 . . 

gsf 0019
090050010720000046006407500600504001000000000900201003002706100410000067060040050
 . 9 . | . 5 . | . 1 . 
 7 2 . | . . . | . 4 6 
 . . 6 | 4 . 7 | 5 . . 
-------+-------+------
 6 . . | 5 . 4 | . . 1 
 . . . | . . . | . . . 
 9 . . | 2 . 1 | . . 3 
-------+-------+------
 . . 2 | 7 . 6 | 1 . . 
 4 1 . | . . . | . 6 7 
 . 6 . | . 4 . | . 5 . 

gsf 0020
005000600800000003016504290100809002009060100600301004067208430400000005003000700
 . . 5 | . . . | 6 . . 
 8 . . | . . . | . . 3 
 . 1 6 | 5 . 4 | 2 9 . 
-------+-------+------
 1 . . | 8 . 9 | . . 2 
 . . 9 | . 6 . | 1 . . 
 6 . . | 3 . 1 | . . 4 
-------+-------+------
 . 6 7 | 2 . 8 | 4 3 . 
 4 . . | . . . | . . 5 
 . . 3 | . . . | 7 . . 

gsf 0021
030406020401000605080000030017504860000000000048207510060000080809000301050908040
 . 3 . | 4 . 6 | . 2 . 
 4 . 1 | . . . | 6 . 5 
 . 8 . | . . . | . 3 . 
-------+-------+------
 . 1 7 | 5 . 4 | 8 6 . 
 . . . | . . . | . . . 
 . 4 8 | 2 . 7 | 5 1 . 
-------+-------+------
 . 6 . | . . . | . 8 . 
 8 . 9 | . . . | 3 . 1 
 . 5 . | 9 . 8 | . 4 . 

gsf 0022
007000200100040007068127340000302000002485900000901000045719630700030009009000700
 . . 7 | . . . | 2 . . 
 1 . . | . 4 . | . . 7 
 . 6 8 | 1 2 7 | 3 4 . 
-------+-------+------
 . . . | 3 . 2 | . . . 
 . . 2 | 4 8 5 | 9 . . 
 . . . | 9 . 1 | . . . 
-------+-------+------
 . 4 5 | 7 1 9 | 6 3 . 
 7 . . | . 3 . | . . 9 
 . . 9 | . . . | 7 . . 

gsf 0023
580304019010050030300000004130205087000000000470601025800000003040010060760408052
 5 8 . | 3 . 4 | . 1 9 
 . 1 . | . 5 . | . 3 . 
 3 . . | . . . | . . 4 
-------+-------+------
 1 3 . | 2 . 5 | . 8 7 
 . . . | . . . | . . . 
 4 7 . | 6 . 1 | . 2 5 
-------+-------+------
 8 . . | . . . | . . 3 
 . 4 . | . 1 . | . 6 . 
 7 6 . | 4 . 8 | . 5 2 

Ocean 0001
000001020000030004500000600000600740003000500081003000008000001900040000050700000
 . . . | . . 1 | . 2 . 
 . . . | . 3 . | . . 4 
 5 . . | . . . | 6 . . 
-------+-------+------
 . . . | 6 . . | 7 4 . 
 . . 3 | . . . | 5 . . 
 . 8 1 | . . 3 | . . . 
-------+-------+------
 . . 8 | . . . | . . 1 
 9 . . | . 4 . | . . . 
 . 5 . | 7 . . | . . . 

Ocean 0002
100000200000003405005600000200010000070000010000030006000002700806500000009000003
 1 . . | . . . | 2 . . 
 . . . | . . 3 | 4 . 5 
 . . 5 | 6 . . | . . . 
-------+-------+------
 2 . . | . 1 . | . . . 
 . 7 . | . . . | . 1 . 
 . . . | . 3 . | . . 6 
-------+-------+------
 . . . | . . 2 | 7 . . 
 8 . 6 | 5 . . | . . . 
 . . 9 | . . . | . . 3 

Ocean 0003
000000012030000400001005000000067004008000500200310000000200800004000090610000000
 . . . | . . . | . 1 2 
 . 3 . | . . . | 4 . . 
 . . 1 | . . 5 | . . . 
-------+-------+------
 . . . | . 6 7 | . . 4 
 . . 8 | . . . | 5 . . 
 2 . . | 3 1 . | . . . 
-------+-------+------
 . . . | 2 . . | 8 . . 
 . . 4 | . . . | . 9 . 
 6 1 . | . . . | . . . 

daj95376 0001
003604000280090000400580300008000096000805000360000800004058001000010074000709200
 . . 3 | 6 . 4 | . . . 
 2 8 . | . 9 . | . . . 
 4 . . | 5 8 . | 3 . . 
-------+-------+------
 . . 8 | . . . | . 9 6 
 . . . | 8 . 5 | . . . 
 3 6 . | . . . | 8 . . 
-------+-------+------
 . . 4 | . 5 8 | . . 1 
 . . . | . 1 . | . 7 4 
 . . . | 7 . 9 | 2 . . 

Anonymous 0001
000903000060745030003000700320000089050020040180000052006000500070639020000508000
 . . . | 9 . 3 | . . . 
 . 6 . | 7 4 5 | . 3 . 
 . . 3 | . . . | 7 . . 
-------+-------+------
 3 2 . | . . . | . 8 9 
 . 5 . | . 2 . | . 4 . 
 1 8 . | . . . | . 5 2 
-------+-------+------
 . . 6 | . . . | 5 . . 
 . 7 . | 6 3 9 | . 2 . 
 . . . | 5 . 8 | . . . 

Anonymous 0002
600030004002709600080040020090000060305000701010000040060020050009406100200050006
 6 . . | . 3 . | . . 4 
 . . 2 | 7 . 9 | 6 . . 
 . 8 . | . 4 . | . 2 . 
-------+-------+------
 . 9 . | . . . | . 6 . 
 3 . 5 | . . . | 7 . 1 
 . 1 . | . . . | . 4 . 
-------+-------+------
 . 6 . | . 2 . | . 5 . 
 . . 9 | 4 . 6 | 1 . . 
 2 . . | . 5 . | . . 6 

Anonymous 0003
500000006003000200080207050006859300000702000007346100060408020002000500100000008
 5 . . | . . . | . . 6 
 . . 3 | . . . | 2 . . 
 . 8 . | 2 . 7 | . 5 . 
-------+-------+------
 . . 6 | 8 5 9 | 3 . . 
 . . . | 7 . 2 | . . . 
 . . 7 | 3 4 6 | 1 . . 
-------+-------+------
 . 6 . | 4 . 8 | . 2 . 
 . . 2 | . . . | 5 . . 
 1 . . | . . . | . . 8 

Anonymous 0004
106000302000602000400030007050070020004301600030050010300010006000207000902000508
 1 . 6 | . . . | 3 . 2 
 . . . | 6 . 2 | . . . 
 4 . . | . 3 . | . . 7 
-------+-------+------
 . 5 . | . 7 . | . 2 . 
 . . 4 | 3 . 1 | 6 . . 
 . 3 . | . 5 . | . 1 . 
-------+-------+------
 3 . . | . 1 . | . . 6 
 . . . | 2 . 7 | . . . 
 9 . 2 | . . . | 5 . 8 

Ocean 0004
000000120100000300450006000007809000000000000000703900000200081006000005073000000
 . . . | . . . | 1 2 . 
 1 . . | . . . | 3 . . 
 4 5 . | . . 6 | . . . 
-------+-------+------
 . . 7 | 8 . 9 | . . . 
 . . . | . . . | . . . 
 . . . | 7 . 3 | 9 . . 
-------+-------+------
 . . . | 2 . . | . 8 1 
 . . 6 | . . . | . . 5 
 . 7 3 | . . . | . . . 
 
ab 0007
007105900000060000100309004906700402010000050304008607200607005000090000009501700
 . . 7 | 1 . 5 | 9 . . 
 . . . | . 6 . | . . . 
 1 . . | 3 . 9 | . . 4 
-------+-------+------
 9 . 6 | 7 . . | 4 . 2 
 . 1 . | . . . | . 5 . 
 3 . 4 | . . 8 | 6 . 7 
-------+-------+------
 2 . . | 6 . 7 | . . 5 
 . . . | . 9 . | . . . 
 . . 9 | 5 . 1 | 7 . . 

ab 0008
000000000057201360040905020038100540000000000010306870080009030076803150000000000
 . . . | . . . | . . . 
 . 5 7 | 2 . 1 | 3 6 . 
 . 4 . | 9 . 5 | . 2 . 
-------+-------+------
 . 3 8 | 1 . . | 5 4 . 
 . . . | . . . | . . . 
 . 1 . | 3 . 6 | 8 7 . 
-------+-------+------
 . 8 . | . . 9 | . 3 . 
 . 7 6 | 8 . 3 | 1 5 . 
 . . . | . . . | . . . 

ab 0009
700006000006050900003704500065000300400308009009000410007509100004060700000400003
 7 . . | . . 6 | . . . 
 . . 6 | . 5 . | 9 . . 
 . . 3 | 7 . 4 | 5 . . 
-------+-------+------
 . 6 5 | . . . | 3 . . 
 4 . . | 3 . 8 | . . 9 
 . . 9 | . . . | 4 1 . 
-------+-------+------
 . . 7 | 5 . 9 | 1 . . 
 . . 4 | . 6 . | 7 . . 
 . . . | 4 . . | . . 3 

gsf 0026
047300800000010050013208000000100005001502600700003000000405160090060000004001270
 . 4 7 | 3 . . | 8 . . 
 . . . | . 1 . | . 5 . 
 . 1 3 | 2 . 8 | . . . 
-------+-------+------
 . . . | 1 . . | . . 5 
 . . 1 | 5 . 2 | 6 . . 
 7 . . | . . 3 | . . . 
-------+-------+------
 . . . | 4 . 5 | 1 6 . 
 . 9 . | . 6 . | . . . 
 . . 4 | . . 1 | 2 7 .

tarek 0005
010004003700900050003070000030000006004000700500000090000050800060003004900800010
 . 1 . | . . 4 | . . 3 
 7 . . | 9 . . | . 5 . 
 . . 3 | . 7 . | . . . 
-------+-------+------
 . 3 . | . . . | . . 6 
 . . 4 | . . . | 7 . . 
 5 . . | . . . | . 9 . 
-------+-------+------
 . . . | . 5 . | 8 . . 
 . 6 . | . . 3 | . . 4 
 9 . . | 8 . . | . 1 . 

tarek0006
600090000007008040010200500004000070800000004050000900003004080090600200000050001
 6 . . | . 9 . | . . . 
 . . 7 | . . 8 | . 4 . 
 . 1 . | 2 . . | 5 . . 
-------+-------+------
 . . 4 | . . . | . 7 . 
 8 . . | . . . | . . 4 
 . 5 . | . . . | 9 . . 
-------+-------+------
 . . 3 | . . 4 | . 8 . 
 . 9 . | 6 . . | 2 . . 
 . . . | . 5 . | . . 1 

tarek0007
500090000080002900004300070007000020300000009090000800060007200002500030000080006
 5 . . | . 9 . | . . . 
 . 8 . | . . 2 | 9 . . 
 . . 4 | 3 . . | . 7 . 
-------+-------+------
 . . 7 | . . . | . 2 . 
 3 . . | . . . | . . 9 
 . 9 . | . . . | 8 . . 
-------+-------+------
 . 6 . | . . 7 | 2 . . 
 . . 2 | 5 . . | . 3 . 
 . . . | . 8 . | . . 6 

tarek0008
800020000040600700002005030070000800500000001003000020080100400007003050000060007
 8 . . | . 2 . | . . . 
 . 4 . | 6 . . | 7 . . 
 . . 2 | . . 5 | . 3 . 
-------+-------+------
 . 7 . | . . . | 8 . . 
 5 . . | . . . | . . 1 
 . . 3 | . . . | . 2 . 
-------+-------+------
 . 8 . | 1 . . | 4 . . 
 . . 7 | . . 3 | . 5 . 
 . . . | . 6 . | . . 7 

tarek0009
800030000070005800001900060009000020400000009050000300030007500006200010000050002
 8 . . | . 3 . | . . . 
 . 7 . | . . 5 | 8 . . 
 . . 1 | 9 . . | . 6 . 
-------+-------+------
 . . 9 | . . . | . 2 . 
 4 . . | . . . | . . 9 
 . 5 . | . . . | 3 . . 
-------+-------+------
 . 3 . | . . 7 | 5 . . 
 . . 6 | 2 . . | . 1 . 
 . . . | . 5 . | . . 2 

tarek0010
004003005010060000800700300005000002040000010700000800003002004000080090600900700
 . . 4 | . . 3 | . . 5 
 . 1 . | . 6 . | . . . 
 8 . . | 7 . . | 3 . . 
-------+-------+------
 . . 5 | . . . | . . 2 
 . 4 . | . . . | . 1 . 
 7 . . | . . . | 8 . . 
-------+-------+------
 . . 3 | . . 2 | . . 4 
 . . . | . 8 . | . 9 . 
 6 . . | 9 . . | 7 . . 

tarek0011
800500090040001002003060000900000070001000900060000003000030400700900080030006001
 8 . . | 5 . . | . 9 . 
 . 4 . | . . 1 | . . 2 
 . . 3 | . 6 . | . . . 
-------+-------+------
 9 . . | . . . | . 7 . 
 . . 1 | . . . | 9 . . 
 . 6 . | . . . | . . 3 
-------+-------+------
 . . . | . 3 . | 4 . . 
 7 . . | 9 . . | . 8 . 
 . 3 . | . . 6 | . . 1 


This is a list in chronological order of puzzles that fulfilled Superior 2 requirements apart from the minimality constraint:

gsf 0024 073905240000103000080000090931246758050000060862517934020000010000401000017302580
daj95376 0002 004251000050000013007009004000600090002090700090008000800700600420000050000543100
daj95376 0003 920870006014900070007000003490700000000060000000003029100000900070002150300047082
daj95376 0009 201080070000004200060000800980140056105060402640029087009000040008400000010090708


This is a list in chronological order of puzzles that did not meet superior 2 requirements but were superior 1 eligible:

ab 0001 007050400000304000800060003760000020201000508050000097400030009000801000005070600
ab 0002 020098000040670100000500020002000075007000600430000200060007000009053080000980050
gsf 0001 040010005900062013000000800002003050000579000030100400004000000750280006200050040
gsf 0002 000008000002100390005030021570000200900603008003000049240010700039002100000300000
gsf 0003 074901380091000420000050000020395040000000000060284070000010000037000810012803750
gsf 0006 060000002000230060800405000001950200070000040002013900000107005030042000200000010
gsf 0007 017040600600100020030005009000590001000000000200038000300800010020004003008010740
gsf 0008 040200000063000800508030100400600510870000032015004009002040301001000740000005080
gsf 0009 700000004002050900800004070049300000008601500000002310030200007007040800600000001
daj95376 0004 603091004001800690009046000028000100000000000006000920000910300012004800800350401
ab 0003 020000500309806000600420000007210000006000100000039800000068005000103402005000060
ab 0004 400200000000048500080001700005700940000803000092004600001500030008320000000009006
ab 0005 000930005000200000050080600100002000080000901006400057008600000290050300070004000
daj95376 0005 000800070820700010006009008600500100052107380003006007300900800060003092090008000
daj95376 0006 005000072900700500020500008670800010240000056050009037800006020002007003530000700
daj95376 0007 040705038030028051800000000000600012071050680650001000000000003460130020310502060
daj95376 0008 095008200800400000740030096000000083010040050530000000170050024000004001004100370
ab 0006 200380006080600090000001000003906081400000003610208700000700000060009020900052007


tarek
Last edited by tarek on Mon Dec 17, 2007 7:14 pm, edited 13 times in total.
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Postby tarek » Tue Jan 09, 2007 3:18 pm

My first puzzles to be submitted are easy examples of eligible puzzles (I hope):
Code: Select all
 . . . | 9 . . | 3 7 1 
 . . . | . . 5 | . 6 . 
 . . . | 1 8 . | . 5 . 
-------+-------+------
 9 . 8 | . . . | . . . 
 . . 2 | . . 3 | . . 8 
 . 6 . | . 7 8 | . . 9 
-------+-------+------
 6 . . | . . . | . . 3 
 2 8 7 | . . . | . . 5 
 5 . . | . 6 1 | 4 8 . 

 . 8 . | . . . | . . . 
 2 . 1 | 9 . . | . 6 5 
 . 4 . | . . . | 9 . . 
-------+-------+------
 . 9 . | . . 6 | . 4 7 
 . . . | . . 5 | 1 . . 
 . . . | 2 7 . | . 9 . 
-------+-------+------
 . . 8 | . 5 . | . . 4 
 . 6 . | 3 . 8 | . . 9 
 . 5 . | 1 . . | 7 8 . 

 5 . . | 6 . 9 | . . 8 
 . . . | . . . | . . . 
 . 6 4 | . . . | 7 9 . 
-------+-------+------
 . 7 . | . 1 . | . 2 . 
 . . 8 | . . . | 3 . . 
 . 9 . | 3 7 4 | . 1 . 
-------+-------+------
 . . . | . 5 . | . . . 
 . 5 . | 9 . 1 | . 7 . 
 4 3 . | . . . | . 8 5 

 . 4 . | . . 7 | 3 . . 
 . 2 . | . . . | . 4 6 
 . . 1 | . 8 . | . . 5 
-------+-------+------
 . . 3 | 2 1 6 | . . . 
 . 7 . | . . 4 | . . . 
 . . 9 | 8 7 5 | . . . 
-------+-------+------
 . . 6 | . 5 . | . . 4 
 . 9 . | . . . | . 6 8 
 . 5 . | . . 2 | 7 . . 


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Why bother?

Postby Red Ed » Tue Jan 09, 2007 8:56 pm

I'm sure that this will be another successful thread in terms of number of posts, but what is to become of it? There was talk of the original Superior thread yielding a book. Did it? Or, like that thread, are these puzzles just a throwaway (but fun!) test of our ingenuity?
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Postby tarek » Wed Jan 10, 2007 10:11 am

Well I hope it would be popular........

The challenge is for puzzle compilers (The Geniuses:D )

The idea with the book did not materialise.... I had some correspondance with Wayne earlier in 2006 but no conclusion was reached. I am currently finalising a small sudoku puzzle book of my own (just to prove that I can), & I'm happy to take part & put some effort into making one that has all of the listed puzzles, the problem is where would you put the final product so that everyone would get it for free:(:!:

For this thread, the idea -as always- is fun & challenge.......the challenge is tough... & i would like to see how many non single moves can be achieved with all the hurdles outlined......

At the end ..... A definite beauty.........

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Postby ab » Wed Jan 10, 2007 5:59 pm

Ok here's my first puzzle:
Code: Select all
 . . 7 | . 5 . | 4 . .
 . . . | 3 . 4 | . . .
 8 . . | . 6 . | . . 3
 ------+-------+------
 7 6 . | . . . | . 2 .
 2 . 1 | . . . | 5 . 8
 . 5 . | . . . | . 9 7
 ------+-------+------
 4 . . | . 3 . | . . 9
 . . . | 8 . 1 | . . .
 . . 5 | . 7 . | 6 . .



Your third puzzle seems to fail your criterion. My solver places two singles after the triple:!:

If your puzzle qualifies, then I'll also submit this beauty:
Code: Select all
 . 2 . | . 9 8 | . . .
 . 4 . | 6 7 . | 1 . .
 . . . | 5 . . | . 2 .
 ------+-------+------
 . . 2 | . . . | . 7 5
 . . 7 | . . . | 6 . .
 4 3 . | . . . | 2 . .
 ------+-------+------
 . 6 . | . . 7 | . . .
 . . 9 | . 5 3 | . 8 .
 . . . | 9 8 . | . 5 .


three non single placements, but you can use a naked par or two hidden pairs on one move and you can use pointing or claiming on another. claiming is followed by one single, but pointing is followed by two:(
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Postby daj95376 » Wed Jan 10, 2007 6:11 pm

I'm glad to see that others are having issues with the spaghetti of restrictions on puzzles in this thread.
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Postby tarek » Wed Jan 10, 2007 6:20 pm

ab wrote:Your third puzzle seems to fail your criterion. My solver places two singles after the triple

hmm,, my mistake in not wording it properly, single refers to the technique & not the number of placements......it just means that every non single move should be preceeded & followed by singles. I've edited that part in the head post to remove ambiguity.

daj95376 wrote:I'm glad to see that others are having issues with the spaghetti of restrictions on puzzles in this thread.
better than sushi:D

Just to remind eveyone that EACH non single move MUST be rquired AND MUST be preceeded & followed by singles.the non single moves include box-line reductions...... so a succession of non single moves renders the puzzle "non-eligible".

ab's beautiful puzzles are non eligible (my mistake probably as mentioned above).........
the 1st puzzle has this
Code: Select all
*--------------------------------------------------------*
| 19    3     7    | 129   5     289  | 4     18    6    |
| 5     129   6    | 3     1289  4    | 2789  178   12   |
| 8     1249  49   | 129   6     7    | 29    5     3    |
|------------------+------------------+------------------|
| 7     6     89   | 159   189   589  | 3     2     4    |
| 2     49    1    | 7     49    3    | 5     6     8    |
| 3     5     48   | 26    248   268  | 1     9     7    |
|------------------+------------------+------------------|
| 4     17    2    | 56    3     56   | 78    178   9    |
| 6     79    3    | 8     29    1    | 27    4     5    |
| 19    8     5    | 4     7     29   | 6     3     12   |
*--------------------------------------------------------*
Eliminating 2 From r2c5 (Row 1 & Box 2 Box-line interaction)
Eliminating 2 From r3c4 (Row 1 & Box 2 Box-line interaction)
*--------------------------------------------------------*
| 19    3     7    | 129   5     289  | 4     18    6    |
| 5     129   6    | 3     189   4    | 2789  178   12   |
| 8     1249  49   | 19    6     7    | 29    5     3    |
|------------------+------------------+------------------|
| 7     6     89   | 159   189   589  | 3     2     4    |
| 2     49    1    | 7     49    3    | 5     6     8    |
| 3     5     48   | 26    248   268  | 1     9     7    |
|------------------+------------------+------------------|
| 4     17    2    | 56    3     56   | 78    178   9    |
| 6     79    3    | 8     29    1    | 27    4     5    |
| 19    8     5    | 4     7     29   | 6     3     12   |
*--------------------------------------------------------*
Eliminating 9 From r2c2 ( XWing in Rows 58)
Eliminating 9 From r3c2 ( XWing in Rows 58)
Eliminating 9 From r2c5 ( XWing in Rows 58)
Eliminating 9 From r4c5 ( XWing in Rows 58)

The box line reduction is a non single move that is not followed by singles & is not required

Note that the output has been modified to show moves in batches.
Puzzle 2 has the following:
Code: Select all
*-----------------------------------------------------------------*
| 17     2      13    | 34     9      8     | 5      6      347   |
| 589    4      358   | 6      7      2     | 1      39     389   |
| 16789  89     1368  | 5      134    14    | 389    2      34789 |
|---------------------+---------------------+---------------------|
| 1689   89     2     | 348    1346   149   | 38     7      5     |
| 189    5      7     | 238    123    19    | 6      4      138   |
| 4      3      168   | 7      16     5     | 2      19     189   |
|---------------------+---------------------+---------------------|
| 58     6      58    | 24     24     7     | 39     139    139   |
| 2      7      9     | 1      5      3     | 4      8      6     |
| 3      1      4     | 9      8      6     | 7      5      2     |
*-----------------------------------------------------------------*
Eliminating 1 From r3c1 (Row 1 & Box 1 Box-line interaction)
Eliminating 1 From r3c3 (Row 1 & Box 1 Box-line interaction)
*-----------------------------------------------------------------*
| 17     2      13    | 34     9      8     | 5      6      347   |
| 589    4      358   | 6      7      2     | 1      39     389   |
| 6789   89     368   | 5      134    14    | 389    2      34789 |
|---------------------+---------------------+---------------------|
| 1689   89     2     | 348    1346   149   | 38     7      5     |
| 189    5      7     | 238    123    19    | 6      4      138   |
| 4      3      168   | 7      16     5     | 2      19     189   |
|---------------------+---------------------+---------------------|
| 58     6      58    | 24     24     7     | 39     139    139   |
| 2      7      9     | 1      5      3     | 4      8      6     |
| 3      1      4     | 9      8      6     | 7      5      2     |
*-----------------------------------------------------------------*
r1c9 Must only have 47 as valid Candidates (47 is a Hidden Double in Column 9)
r3c9 Must only have 47 as valid Candidates (47 is a Hidden Double in Column 9)
r1c9 Must only have 47 as valid Candidates (47 is a Hidden Double in Box 3)
r3c9 Must only have 47 as valid Candidates (47 is a Hidden Double in Box 3)
*--------------------------------------------------------*
| 17    2     13   | 34    9     8    | 5     6     47   |
| 589   4     358  | 6     7     2    | 1     39    389  |
| 6789  89    368  | 5     134   14   | 389   2     47   |
|------------------+------------------+------------------|
| 1689  89    2    | 348   1346  149  | 38    7     5    |
| 189   5     7    | 238   123   19   | 6     4     138  |
| 4     3     168  | 7     16    5    | 2     19    189  |
|------------------+------------------+------------------|
| 58    6     58   | 24    24    7    | 39    139   139  |
| 2     7     9    | 1     5     3    | 4     8     6    |
| 3     1     4    | 9     8     6    | 7     5     2    |
*--------------------------------------------------------*
Eliminating 8 From r3c1 ( XWing in Columns 27)
Eliminating 8 From r3c3 ( XWing in Columns 27)
Eliminating 8 From r4c1 ( XWing in Columns 27)
Eliminating 8 From r4c4 ( XWing in Columns 27)

somebody else may solve it this way
Code: Select all
*-----------------------------------------------------------------*
| 17     2      13    | 34     9      8     | 5      6      347   |
| 589    4      358   | 6      7      2     | 1      39     389   |
| 16789  89     1368  | 5      134    14    | 389    2      34789 |
|---------------------+---------------------+---------------------|
| 1689   89     2     | 348    1346   149   | 38     7      5     |
| 189    5      7     | 238    123    19    | 6      4      138   |
| 4      3      168   | 7      16     5     | 2      19     189   |
|---------------------+---------------------+---------------------|
| 58     6      58    | 24     24     7     | 39     139    139   |
| 2      7      9     | 1      5      3     | 4      8      6     |
| 3      1      4     | 9      8      6     | 7      5      2     |
*-----------------------------------------------------------------*
Eliminating 1 From r3c1 (Row 1 & Box 1 Box-line interaction)
Eliminating 1 From r3c3 (Row 1 & Box 1 Box-line interaction)
*-----------------------------------------------------------------*
| 17     2      13    | 34     9      8     | 5      6      347   |
| 589    4      358   | 6      7      2     | 1      39     389   |
| 6789   89     368   | 5      134    14    | 389    2      34789 |
|---------------------+---------------------+---------------------|
| 1689   89     2     | 348    1346   149   | 38     7      5     |
| 189    5      7     | 238    123    19    | 6      4      138   |
| 4      3      168   | 7      16     5     | 2      19     189   |
|---------------------+---------------------+---------------------|
| 58     6      58    | 24     24     7     | 39     139    139   |
| 2      7      9     | 1      5      3     | 4      8      6     |
| 3      1      4     | 9      8      6     | 7      5      2     |
*-----------------------------------------------------------------*
r1c9 Must only have 47 as valid Candidates (389 is a Naked Triple in Box 3)
r3c9 Must only have 47 as valid Candidates (389 is a Naked Triple in Box 3)
*--------------------------------------------------------*
| 17    2     13   | 34    9     8    | 5     6     47   |
| 589   4     358  | 6     7     2    | 1     39    389  |
| 6789  89    368  | 5     134   14   | 389   2     47   |
|------------------+------------------+------------------|
| 1689  89    2    | 348   1346  149  | 38    7     5    |
| 189   5     7    | 238   123   19   | 6     4     138  |
| 4     3     168  | 7     16    5    | 2     19    189  |
|------------------+------------------+------------------|
| 58    6     58   | 24    24    7    | 39    139   139  |
| 2     7     9    | 1     5     3    | 4     8     6    |
| 3     1     4    | 9     8     6    | 7     5     2    |
*--------------------------------------------------------*
Eliminating 8 From r3c1 ( XWing in Columns 27)
Eliminating 8 From r3c3 ( XWing in Columns 27)
Eliminating 8 From r4c1 ( XWing in Columns 27)
Eliminating 8 From r4c4 ( XWing in Columns 27)

so in addition to the singles issue. the hidden double has a naked triple counterpart.....The counterpart has to be of the level of Quads & above.......This rule is to make sure that a technique is actually required & that no 2 people would solve it differently with the same set of techniques as their arsenal.


Points 1,2 & 3 reflect the eligibility of superior puzzles in the previous superiors thread......... points 4 & 5 take this to a new level.

Tough times.........

tarek
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Postby gsf » Thu Jan 11, 2007 9:48 am

here are a few scraped from some old generated files
I think I got the requirements straight
a currently running generator is having a harder time
the two C26.m (26 clues minimal) are the only absolute minimals in the lot (.M means symmetric minimal)
Code: Select all
#    64 FNBT      C27.M/S2.p/F8.21/N10.33/B1.4.0.1/T1.3.0.1 (FNFNNBNTNFNFNFNFNFNF)

. 4 . | . 1 . | . . 5
9 . . | . 6 2 | . 1 3
. . . | . . . | 8 . .
------+-------+------
. . 2 | . . 3 | . 5 .
. . . | 5 7 9 | . . .
. 3 . | 1 . . | 4 . .
------+-------+------
. . 4 | . . . | . . .
7 5 . | 2 8 . | . . 6
2 . . | . 5 . | . 4 .

#   805 FNBW      C28.M/S2.p/F11.23/N11.30/B1.3.0.1/W1.2.1 (FNFNFNFNFNNBNWFFFNFNFNFN)

. . . | . . 8 | . . .
. . 2 | 1 . . | 3 9 .
. . 5 | . 3 . | . 2 1
------+-------+------
5 7 . | . . . | 2 . .
9 . . | 6 . 3 | . . 8
. . 3 | . . . | . 4 9
------+-------+------
2 4 . | . 1 . | 7 . .
. 3 9 | . . 2 | 1 . .
. . . | 3 . . | . . .

#   799 FNBW      C32.M/S4.hv/F7.21/N10.28/B1.2.1/W1.6.1 (FNNFNNBNWFNFNFNFNFN)

. 7 4 | 9 . 1 | 3 8 .
. 9 1 | . . . | 4 2 .
. . . | . 5 . | . . .
------+-------+------
. 2 . | 3 9 5 | . 4 .
. . . | . . . | . . .
. 6 . | 2 8 4 | . 7 .
------+-------+------
. . . | . 1 . | . . .
. 3 7 | . . . | 8 1 .
. 1 2 | 8 . 3 | 7 5 .

#   560 FNH       C26.M/S2.p/F14.22/N17.33/H1.2.0.1 (FNFNFNHNNNFNFNFNNFNFNFNFNFNFNFNF)

3 . . | . . 7 | . . .
. 1 . | 8 . . | . . .
. 5 . | 6 4 . | 2 8 .
------+-------+------
. . . | . 3 . | . . 8
. . 9 | 2 . 1 | 5 . .
6 . . | . 8 . | . . .
------+-------+------
. 2 4 | . 6 9 | . 3 .
. . . | . . 8 | . 4 .
. . . | 4 . . | . . 6

#   868 FNHW      C28.M/S2.p/F10.22/N13.31/H1.2.1/W1.4.1 (FNNWFNHNFNFNFNNFNFNFNFNFN)

9 . 4 | . 5 . | . . 1
. 2 . | . 1 3 | . . 8
. . . | . . . | 7 . .
------+-------+------
. 1 . | 4 . . | . . 9
. . 9 | 6 . 7 | 2 . .
2 . . | . . 1 | . 3 .
------+-------+------
. . 5 | . . . | . . .
6 . . | 1 7 . | . 8 .
3 . . | . 6 . | 4 . 7

#    68 FNT       C26.M/S2.p/F10.22/N13.33/T1.1.0.1 (NFNFNNNNFNFFNTNFNFNFNFNF)

. 6 . | . . . | . . 2
. . . | 2 3 . | . 6 .
8 . . | 4 . 5 | . . .
------+-------+------
. . 1 | 9 5 . | 2 . .
. 7 . | . . . | . 4 .
. . 2 | . 1 3 | 9 . .
------+-------+------
. . . | 1 . 7 | . . 5
. 3 . | . 4 2 | . . .
2 . . | . . . | . 1 .

#    75 FNT       C26.m/S2.p/F9.20/N17.35/T1.1.0.1 (NNNNTNFNNFNFNFNFNNNFNFNFNFN)

. 1 7 | . 4 . | 6 . .
6 . . | 1 . . | . 2 .
. 3 . | . . 5 | . . 9
------+-------+------
. . . | 5 9 . | . . 1
. . . | . . . | . . .
2 . . | . 3 8 | . . .
------+-------+------
3 . . | 8 . . | . 1 .
. 2 . | . . 4 | . . 3
. . 8 | . 1 . | 7 4 .

#   129 FNTH      C30/S2.p/F9.22/N12.29/T1.2.0.1/H1.2.1 (FNFNFNNHNTNFNFNFNFNFNFN)

. 4 . | 2 . . | . . .
. 6 3 | . . . | 8 . .
5 . 8 | . 3 . | 1 . .
------+-------+------
4 . . | 6 . . | 5 1 .
8 7 . | . . . | . 3 2
. 1 5 | . . 4 | . . 9
------+-------+------
. . 2 | . 4 . | 3 . 1
. . 1 | . . . | 7 4 .
. . . | . . 5 | . 8 .

#   810 FNTW      C26.M/S2.p/F12.25/N11.30/T1.2.1/W1.4.1 (FNFNFNFFWFFNNTNFNFNFNFNFN)

7 . . | . . . | . . 4
. . 2 | . 5 . | 9 . .
8 . . | . . 4 | . 7 .
------+-------+------
. 4 9 | 3 . . | . . .
. . 8 | 6 . 1 | 5 . .
. . . | . . 2 | 3 1 .
------+-------+------
. 3 . | 2 . . | . . 7
. . 7 | . 4 . | 8 . .
6 . . | . . . | . . 1

#   800 FNW       C24.M/S2.p/F10.19/N11.38/W1.4.1 (NFNFNFNNFNFNWFNFNFNFNF)

7 8 . | . 6 . | . . .
. . 6 | . 3 . | . . .
. 3 . | 4 . . | . 2 8
------+-------+------
5 . . | 1 . . | . . .
. . 2 | . . . | 3 . .
. . . | . . 7 | . . 6
------+-------+------
4 5 . | . . 8 | . 1 .
. . . | . 1 . | 7 . .
. . . | . 2 . | . 4 9

#   793 FNW       C26.M/S2.p/F7.16/N9.39/W1.1.1 (FNFNFNNWNNFNFNFNF)

. . . | 4 . . | . 8 9
. 5 . | . . 9 | 2 . 3
. . . | . . . | 4 . .
------+-------+------
. 4 2 | . 9 . | 8 . .
. . . | 2 . 6 | . . .
. . 1 | . 3 . | 5 6 .
------+-------+------
. . 7 | . . . | . . .
5 . 8 | 7 . . | . 2 .
3 9 . | . . 5 | . . .

#   798 FNW       C26.M/S4.hv/F10.20/N10.35/W1.3.1 (FNFNFNWFFNFNNFNFNFNFN)

4 . 9 | . . . | 3 . 8
. 3 . | 2 . 8 | . 6 .
. . . | . . . | . . .
------+-------+------
. . 2 | 3 . 6 | 7 . .
. 1 . | . . . | . 8 .
. . 3 | 8 . 1 | 4 . .
------+-------+------
. . . | . . . | . . .
. 6 . | 7 . 2 | . 5 .
3 . 5 | . . . | 1 . 4

#   801 FNW       C26.m/S2.p/F11.22/N11.33/W1.3.1 (FNFNNWFNFNFNFNFNFNFNFNF)

. . . | . 8 . | 5 1 .
. . . | . . 6 | 4 . .
2 8 . | . 5 . | . . .
------+-------+------
. . 1 | 9 6 . | . 5 .
. 5 . | . . . | . 4 .
. 9 . | . 2 4 | 6 . .
------+-------+------
. . . | . 1 . | . 2 3
. . 3 | 6 . . | . . .
. 1 8 | . 3 . | . . .

#   797 FNW       C26.m/S2.p/F9.21/N10.34/W1.2.1 (NFNFNFNNWFFNFNFNFNFN)

. . . | . . 6 | 1 . .
. 4 . | 5 . . | . 9 7
. . . | . 2 . | 3 . .
------+-------+------
. . 3 | 1 6 8 | . 5 .
. . . | . . . | . . .
. 1 . | 2 9 4 | 8 . .
------+-------+------
. . 8 | . 3 . | . . .
2 5 . | . . 9 | . 1 .
. . 1 | 4 . . | . . .

#   791 FNW       C27.M/S2.p/F7.19/N8.35/W1.2.1 (FNNFNNWFNFNFNFNF)

2 . . | . . 4 | 9 7 .
. 4 . | 6 . . | 8 . 2
. . . | 7 . . | . . .
------+-------+------
4 . . | . . 9 | 3 2 .
. . . | . 5 . | . . .
. 8 9 | 2 . . | . . 1
------+-------+------
. . . | . . 1 | . . .
3 . 5 | . . 2 | . 6 .
. 9 2 | 8 . . | . . 3

#   805 FNW       C28.M/S2.p/F11.20/N13.33/W1.2.1 (FNFNFNNNNNNFWFNFFFNFNFNFN)

2 . . | 6 4 . | 9 . .
6 . . | . 3 . | . . .
. . 7 | . . 1 | . 3 .
------+-------+------
. . . | . . . | 6 8 9
. . 9 | 2 . 3 | 1 . .
4 5 6 | . . . | . . .
------+-------+------
. 7 . | 9 . . | 3 . .
. . . | . 2 . | . . 7
. . 2 | . 7 6 | . . 5

#   802 FNW       C28.M/S4.hv/F10.17/N12.36/W1.1.1 (NNFNFNFNWFNFNFNFNFNFNFN)

. . 6 | . 3 . | 5 . .
. 1 . | . . . | . 7 .
. . 4 | 7 . 8 | 3 . .
------+-------+------
5 . . | 4 . 3 | . . 8
. 4 . | . . . | . 3 .
1 . . | 8 . 5 | . . 7
------+-------+------
. . 9 | 6 . 4 | 7 . .
. 2 . | . . . | . 1 .
. . 1 | . 5 . | 8 . .

#   801 FNW       C29.M/S4.hv/F11.26/N11.26/W1.4.1 (FNFNFFNNNFNNWFFNFNFNFNF)

. . 4 | 3 . 1 | 9 . .
. 7 . | . 5 . | . 6 .
. . . | 9 . 6 | . . .
------+-------+------
. . 8 | 4 . 5 | 1 . .
4 . . | . 1 . | . . 5
. . 3 | 2 . 7 | 4 . .
------+-------+------
. . . | 7 . 8 | . . .
. 8 . | . 4 . | . 1 .
. . 7 | 1 . 9 | 2 . .

#   800 FNW       C30.M/S4.hv/F10.16/N11.35/W1.2.1 (NFNFNFNWNFNFNFNFNFNFNF)

. 9 . | . 5 . | . 1 .
7 2 . | . . . | . 4 6
. . 6 | 4 . 7 | 5 . .
------+-------+------
6 . . | 5 . 4 | . . 1
. . . | . . . | . . .
9 . . | 2 . 1 | . . 3
------+-------+------
. . 2 | 7 . 6 | 1 . .
4 1 . | . . . | . 6 7
. 6 . | . 4 . | . 5 .

#   798 FNW       C31.M/S4.hv/F10.22/N10.28/W1.3.1 (FNFNFNFNFNWFNFNFNFNFN)

. . 5 | . . . | 6 . .
8 . . | . . . | . . 3
. 1 6 | 5 . 4 | 2 9 .
------+-------+------
1 . . | 8 . 9 | . . 2
. . 9 | . 6 . | 1 . .
6 . . | 3 . 1 | . . 4
------+-------+------
. 6 7 | 2 . 8 | 4 3 .
4 . . | . . . | . . 5
. . 3 | . . . | 7 . .

#   798 FNW       C32.M/S4.hv/F10.19/N10.30/W1.6.1 (FNFNFWFNFNNFNFNFNFNFN)

. 3 . | 4 . 6 | . 2 .
4 . 1 | . . . | 6 . 5
. 8 . | . . . | . 3 .
------+-------+------
. 1 7 | 5 . 4 | 8 6 .
. . . | . . . | . . .
. 4 8 | 2 . 7 | 5 1 .
------+-------+------
. 6 . | . . . | . 8 .
8 . 9 | . . . | 3 . 1
. 5 . | 9 . 8 | . 4 .

#   798 FNW       C33.M/S4.hv/F10.21/N10.27/W1.4.1 (FNFNFNWFFNNFNFNFNFNFN)

. . 7 | . . . | 2 . .
1 . . | . 4 . | . . 7
. 6 8 | 1 2 7 | 3 4 .
------+-------+------
. . . | 3 . 2 | . . .
. . 2 | 4 8 5 | 9 . .
. . . | 9 . 1 | . . .
------+-------+------
. 4 5 | 7 1 9 | 6 3 .
7 . . | . 3 . | . . 9
. . 9 | . . . | 7 . .

#   798 FNW       C34.M/S4.hv/F10.17/N10.30/W1.3.1 (FNFNFNFNFNWFNFNFNFNFN)

5 8 . | 3 . 4 | . 1 9
. 1 . | . 5 . | . 3 .
3 . . | . . . | . . 4
------+-------+------
1 3 . | 2 . 5 | . 8 7
. . . | . . . | . . .
4 7 . | 6 . 1 | . 2 5
------+-------+------
8 . . | . . . | . . 3
. 4 . | . 1 . | . 6 .
7 6 . | 4 . 8 | . 5 2

#   787 FNW       C40/S4.hv/F7.20/N6.21/W1.7.1 (FNFNWFNFNFNFNF)

. 7 3 | 9 . 5 | 2 4 .
. . . | 1 . 3 | . . .
. 8 . | . . . | . 9 .
------+-------+------
9 3 1 | 2 4 6 | 7 5 8
. 5 . | . . . | . 6 .
8 6 2 | 5 1 7 | 9 3 4
------+-------+------
. 2 . | . . . | . 1 .
. . . | 4 . 1 | . . .
. 1 7 | 3 . 2 | 5 8 .
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Postby Ocean » Thu Jan 11, 2007 12:33 pm

These were found in a collection of minimal 20s with 180 degrees rotational symmetry.
They can be solved with one non-single technique, so not sure if that qualifies as hard.

#
000001020000030004500000600000600740003000500081003000008000001900040000050700000 #MR20/XW@54
100000200000003405005600000200010000070000010000030006000002700806500000009000003 #MR20/XW@54
000000012030000400001005000000067004008000500200310000000200800004000090610000000 #MR20/XW@55 (has UR)
#
[Edit: Some of the originally supplied puzzles were removed after manually checking them versus the given constraints. Hopefully the remaining puzzles are ok.]
Last edited by Ocean on Thu Jan 11, 2007 7:41 pm, edited 1 time in total.
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Postby gsf » Thu Jan 11, 2007 6:07 pm

due to a batching bug that allowed some moves within an iteration to clobber other moves
I'm retracting 3 of my submissions
e.g., finding a naked triple clobbered a related hidden triple in the same row/col/box
here are the 3 puzzles with pencilmarks at the point where superior2 is not met
Code: Select all
# 1

 36    4   367 |3789   1   78  | 269  269   5
  9    8    5  |  4    6    2  |  7    1    3
 136   2  1367 | 379  39    5  |  8   69    4
---------------+---------------+---------------
 168   7    2  | 68    4    3  | 16    5    9
  4   16   168 |  5    7    9  |1236 2368  128
  5    3    9  |  1    2   68  |  4   678  78
---------------+---------------+---------------
1368  169   4  |3679  39   167 |  5  2378 1278
  7    5   13  |  2    8    4  | 139  39    6
  2   169 1368 |3679   5   167 | 13    4   178


[1]      naked  b/3 {139}  [87][88][97]
         hidden b/3 {278}  [78][79][99]
     D   {3} 2 > 1

# 7

  589     1      7   |  239     4     239  |   6     358    58
   6     589    59   |   1     78     379  | 3458     2    4578
   4      3      2   |  67     678     5   |   1     78      9
---------------------+---------------------+---------------------
  78     468    36   |   5      9     267  | 2348   3678     1
 5789   45689  3569  | 2467    267     1   |234589 356789 245678
   2    4569     1   |  467     3      8   |  459   5679   4567
---------------------+---------------------+---------------------
   3      7      4   |   8     256    269  |  259     1     256
   1      2     569  |  679    567     4   |  589   5689     3
  59     569     8   | 2369     1    2369  |   7      4     256


[1]      naked  b/3 {678}  [25][34][35]
         hidden b/3 {239}  [14][16][26]
     D   {3} 2 > 1

# 8

  1     4     7   |  2    568    68  |  9     56    3
  29    6     3   |14579  159   179  |  8     25    47
  5     29    8   | 479    3    679  |  1     26    47
------------------+------------------+------------------
  4     23    9   |  6     7     23  |  5     1     8
  8     7     6   | 159   159    19  |  4     3     2
  23    1     5   |  38    28    4   |  6     7     9
------------------+------------------+------------------
  67    5     2   |  78    4    678  |  3     9     1
 369    8     1   |  39   269    23  |  7     4     5
 379    39    4   | 1379   19    5   |  2     8     6


[1]      naked  c/3 {159}  [25][55][95]
         hidden c/3 {268}  [15][65][85]
     D   {3} 2 > 1

I added -qsuperior2 to the 2007-01-11 solver
which translates to
Code: Select all
-q'{[B+]T1H1}{[B?]BT2H2}{[B1]T3W2H3}-G' -e'V&&S'

[...] are options within {...} constraint groups
B means batch moves within the group
+ means the group must supply 1 or more moves per application and at least one move per solution
? means the group must supply 0 or 1 moves per application
1 (in the third group) means the group must supply exactly one move per application

the groups are applied left-to right
when a group supplies a move then the next group applied is the leftmost

-G means no guessing (backtracking), so if the last group fails to supply a move then
the puzzle is not solvable with the given constraints

a + in the first group requires that first group moves separate all other group moves

I believe this captures the superior-2 description
(if you haven't noticed, the challenge for me in these great puzzle challenges is as much
coding the constraints as it is finding the puzzles)

the -v deadend trace
Code: Select all
    D   {3} 2 > 1

means that group {3} provided 2 moves which exceeded the limit of 1
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Postby tarek » Fri Jan 12, 2007 1:06 am

I will look into Ocean's & gsf's puzzles more closely very soon hopefully........

But just to re-itertae.....

The idea of this collection focuses on 2 points.
1. singles before & after a non single move: The idea is to make it easier to spot any non single move for the pen & pencil solver........

2. a reproducable solution path for non single moves. [a motorway with no exits. No cul-de-sac branches, no side roads, no short cuts]

The easiest way to have this is to have only one non single move that solves the puzzle..... that move being a ONE possible triple(with a quad+ counterpart) or ONE x-wing.

gsf & his brilliant endless parameters made it possible to create virtually any puzzle to satisfy point 1(I'm not sure if everybody is aware how GREAT this is)

*Point 2 makes it difficult for non sigles moves like box-like eliminations to survive the onslaught of subsets & x-wings(The box line eliminations in gsf's puzzles are not required because you can bypass them with x-wing), is it possible to miss a box-line elimination and find the more difficult x-wing?

*Should we then forget about box-line eliminations all together and relax the REQUIRED bit when a box line elimination is made. or should we try to make puzzles with no box line eliminations & avoid all of this, OR should we find that elusive box line elimination that can't be crushed by subsets & x-wings?

*Some hidden doubles can be part of hidden triples. one of gsf's puzzles that had 2 non single moves had this, can someone miss the hidden double & go for the hidden triple?

I'll post the examples of what I mean tomorrow.

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Postby gsf » Fri Jan 12, 2007 1:27 am

tarek wrote:*Some hidden doubles can be part of hidden triples. one of gsf's puzzles that had 2 non single moves had this, can someone miss the hidden double & go for the hidden triple?

there may have to be an ordering to disambiguate
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Postby daj95376 » Fri Jan 12, 2007 4:54 am

Do these X-Wings qualify for this thread?

Code: Select all
..36.4...28..9....4..58.3....8....96...8.5...36....8....4.58..1....1..74...7.92..
..4251....5.....13..7..9..4...6...9...2.9.7...9...8...8..7..6..42.....5....5431..
92.87...6.149...7...7.....349.7.........6.........3.291.....9...7...215.3...47.82
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Postby gsf » Fri Jan 12, 2007 5:18 am

daj95376 wrote:Do these X-Wings qualify for this thread?

they pass my constraints -- still not sure if they totally encapsulate the intent

here are 4 nice fully symmetric entries I found in puzzles scraped from the forums over the
past few years -- no attribution except that they are not mine
Code: Select all
# forum 1   798 FNW       C29.M/S8.f/F10.27/N10.25/W1.5.1 (NFNFNFNFNFWFNNFNFNFNF)

. . . | 9 . 3 | . . .
. 6 . | 7 4 5 | . 3 .
. . 3 | . . . | 7 . .
------+-------+------
3 2 . | . . . | . 8 9
. 5 . | . 2 . | . 4 .
1 8 . | . . . | . 5 2
------+-------+------
. . 6 | . . . | 5 . .
. 7 . | 6 3 9 | . 2 .
. . . | 5 . 8 | . . .

# forum 2   802 FNW       C28.M/S8.f/F10.17/N12.36/W1.5.1 (NNNFNNWFFNFNFNFNFNFNFNF)

6 . . | . 3 . | . . 4
. . 2 | 7 . 9 | 6 . .
. 8 . | . 4 . | . 2 .
------+-------+------
. 9 . | . . . | . 6 .
3 . 5 | . . . | 7 . 1
. 1 . | . . . | . 4 .
------+-------+------
. 6 . | . 2 . | . 5 .
. . 9 | 4 . 6 | 1 . .
2 . . | . 5 . | . . 6

# forum 3   802 FNW       C28.M/S8.f/F10.19/N12.34/W1.4.1 (FNNNFNFNFNWFNNFNFNFNFNF)

5 . . | . . . | . . 6
. . 3 | . . . | 2 . .
. 8 . | 2 . 7 | . 5 .
------+-------+------
. . 6 | 8 5 9 | 3 . .
. . . | 7 . 2 | . . .
. . 7 | 3 4 6 | 1 . .
------+-------+------
. 6 . | 4 . 8 | . 2 .
. . 2 | . . . | 5 . .
1 . . | . . . | . . 8

# forum 4   794 FNW       C28.M/S8.f/F8.19/N9.34/W1.1.1 (FNFNNFNFNWFNFNFNFN)

1 . 6 | . . . | 3 . 2
. . . | 6 . 2 | . . .
4 . . | . 3 . | . . 7
------+-------+------
. 5 . | . 7 . | . 2 .
. . 4 | 3 . 1 | 6 . .
. 3 . | . 5 . | . 1 .
------+-------+------
3 . . | . 1 . | . . 6
. . . | 2 . 7 | . . .
9 . 2 | . . . | 5 . 8
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Postby daj95376 » Fri Jan 12, 2007 7:44 am

Code: Select all
6.3.91..4..18..69...9.46....28...1.............6...92....91.3...12..48..8..35.4.1

# after Singles, Hidden Triple, Singles
#
# 1) Naked Pair <47> in [r6] followed by Singles to completion
#
# 2) Naked Pair <67> in [c5] followed by
#    Naked Pair <47> in [r6] followed by Singles to completion
#
# I won't even mention possible Locked Candidates
 *--------------------------------------------------*
 | 6    57   3    | 257  9    1    | 25   8    4    |
 | 24   45   1    | 8    23   35   | 6    9    7    |
 | 27   8    9    | 257  4    6    | 25   1    3    |
 |----------------+----------------+----------------|
 | 9    2    8    | 4    67   57   | 1    3    56   |
 | 1    3    5    | 26   268  9    | 7    4    68   |
 | 47   47   6    | 1    378  357  | 9    2    58   |
 |----------------+----------------+----------------|
 | 5    6    4    | 9    1    8    | 3    7    2    |
 | 3    1    2    | 67   67   4    | 8    5    9    |
 | 8    9    7    | 3    5    2    | 4    6    1    |
 *--------------------------------------------------*

Case (1) should be acceptable for this thread. Case (2) shouldn't be acceptable for this thread.

Now I see why posted puzzles contain just the one necessary technique to qualify. It's annoying to cross-check every possible permutation of techniques when subordinate techniques occur.
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