The New Sudoku Players' Forum

by **Eioru** » Sat Mar 03, 2007 7:09 pm

I try to find the best sample that means total of the methods rating is the highest than others. ver 1.1.5
(refer to Sudoku Explainer)

Code: Select all: 1.0 Single 1.2 Hidden Single in box 1.5 Hidden Single in line 1.7 Direct Pointing 2.0 Direct Hidden Pair 2.3 Naked Single 2.5 Direct Hidden Triplet 2.6 Pointing 2.8 Claiming 3.0 Naked Pair 3.2 X-Wing 3.4 Hidden Pair 3.6 Naked Triplet 3.8 Swordfish 4.0 Hidden Triplet 4.2 XY-Wing 4.4 XYZ-Wing ------------------------------------------------------------------------------------- 4.5 UR Types 1, 2, 4 4.5 UR Type 3 with hidden pair 4.6 UR Type 3 with naked pair 4.6 UR Type 3 with hidden triplet 4.7 UR Type 3 with naked triplet 4.7 UR Type 3 with hidden quad 4.8 UR Type 3 with naked quad ------------------------------------------------------------------------------------- 4.6 UL Types 1, 2, 4 (6 cells) 4.7 UL Types 1, 2, 4 (8 cells) 5.0 UL Types 1, 2, 4 (10 cells) ...can be 4.8 5.0 UL Types 1, 2, 4 (12 cells) ...can be 4.9 5.0 UL Types 1, 2, 4 (14 cells) 5.0 UL Types 1, 2, 4 (16 cells) ...can be 5.1 ------------------------------------------------------------------------------------- 4.6 UL Type 3 with hidden pair (6 cells) 4.7 UL Type 3 with hidden pair (8 cells) 4.69 UL Type 3 with hidden triplet (6 cells) 4.8 UL Type 3 with hidden triplet (8 cells) 4.8 UL Type 3 with hidden quad (6 cells) 4.9 UL Type 3 with hidden quad (8 cells) ------------------------------------------------------------------------------------- 4.69 UL Type 3 with naked pair (6 cells) 4.8 UL Type 3 with naked pair (8 cells) 5.1 UL Type 3 with naked pair (10 cells) ...can be 4.9 5.1 UL Type 3 with naked pair (12 cells) ...can be 5.0 4.8 UL Type 3 with naked triplet (6 cells) 4.9 UL Type 3 with naked triplet (8 cells) 4.89 UL Type 3 with naked quad (6 cells) ?.? UL Type 3 with naked quad (8 cells) ...might be 5.0? ------------------------------------------------------------------------------------- 5.0 Naked Quad 5.2 Jellyfish 5.4 Hidden Quad 5.6 Bivalue Universal Graves Type 1 5.7 Bivalue Universal Graves Type 2 5.7 Bivalue Universal Graves Type 4 5.8 Bivalue Universal Graves Type 3 with naked pair 5.9 Bivalue Universal Graves Type 3 with naked triplet 6.0 Bivalue Universal Graves Type 3 with naked quad 6.1 Bivalue Universal Graves Type 3 with naked set(5) 6.2 Aligned Pair Exclusion ------------------------------------------------------------------------------------- 6.5 Bidirectional X-Cycle (6 cells) 6.6 Bidirectional X-Cycle (8 cells) ------------------------------------------------------------------------------------- 6.6 Turbot Fish 6.6 Forcing X-chain (5-6 nodes) 6.69 Forcing X-Chain (7-8 nodes) 6.8 Forcing X-Chain (9-12 nodes) 6.9 Forcing X-Chain (13-16 nodes) ------------------------------------------------------------------------------------- 6.5 Bidirectional Y-cycle (3 cells) 6.6 Bidirectional Y-cycle (4 cells) 6.7 Bidirectional Y-cycle (5 cells) 6.8 Bidirectional Y-cycle (6-7 cells) 6.9 Bidirectional Y-cycle (8-9 cells) 7.0 Bidirectional Y-cycle (10-13 cells) 7.0 Bidirectional Cycle (6 nodes) 7.1 Bidirectional Cycle (8 nodes) 7.2 Bidirectional Cycle (10 nodes) 7.3 Bidirectional Cycle (12 nodes) ------------------------------------------------------------------------------------- 7.0 Forcing Chain (5 nodes) 7.1 Forcing Chain (7 nodes) 7.2 Forcing Chain (9 nodes) 7.3 Forcing Chain (11-13 nodes) 7.4 Forcing Chain (15-17 nodes) 7.5 Forcing Chain (19-25 nodes) 7.6 Forcing Chain (27-more nodes) ------------------------------------------------------------------------------------- 7.5 Aligned Triplet Exclusion 7.6 Nishio Forcing Chain (5-6 nodes) 7.7 Nishio Forcing Chain (7-8 nodes) 7.8 Nishio Forcing Chain (9-12 nodes) 7.9 Nishio Forcing Chain (13-16 nodes) 8.0 Nishio Forcing Chain (17-24 nodes) 8.1 Nishio Forcing Chain (25-36 nodes) ------------------------------------------------------------------------------------- 8.2 Multiple (7-8 nodes) Region Forcing Chains 8.3 Multiple (9-12 nodes) Cell/Region Forcing Chains 8.4 Multiple (13-16 nodes) Cell/Region Forcing Chains 8.5 Multiple (17-24 nodes) Cell/Region Forcing Chains 8.6 Multiple (25-36 nodes) Cell/Region Forcing Chains ------------------------------------------------------------------------------------- 8.6 Dynamic (5-6 nodes) Cell/Region Forcing Chains 8.7 Dynamic (7-8 nodes) Cell/Region Forcing Chains 8.8 Dynamic (9-12 nodes) CRCD Forcing Chains 8.9 Dynamic (13-16 nodes) CRCD Forcing Chains 9.0 Dynamic (17-24 nodes) CRCD Forcing Chains 9.1 Dynamic (25-36 nodes) CRCD Forcing Chains 9.2 Dynamic (37-48 nodes) CRCD Forcing Chains 9.3 Dynamic (49-72 nodes) CRCD Forcing Chains 9.4 Dynamic (73-96 nodes) CRCD Forcing Chains ------------------------------------------------------------------------------------- 9.3 Dynamic + (9-12 nodes) CRCD Forcing Chains 9.4 Dynamic + (13-16 nodes) CRCD Forcing Chains 9.5 Dynamic + (17-24 nodes) CRCD Forcing Chains 9.6 Dynamic + (25-36 nodes) CRCD Forcing Chains 9.7 Dynamic + (37-48 nodes) CRCD Forcing Chains 9.8 Dynamic + (49-72 nodes) CRCD Forcing Chains 9.9 Dynamic + (73-96 nodes) CRCD Forcing Chains 10.0 Dynamic + (97-144 nodes) CRCD Forcing Chains 10.1 Dynamic + (145-192 nodes) CRCD Forcing Chains ------------------------------------------------------------------------------------- 10.0 Dynamic + Forcing Chains (17-24 nodes) CRCD Forcing Chains 10.1 Dynamic + Forcing Chains (25-36 nodes) CRCD Forcing Chains 10.2 Dynamic + Forcing Chains (37-48 nodes) CRCD Forcing Chains 10.3 Dynamic + Forcing Chains (49-72 nodes) CRCD Forcing Chains 10.4 Dynamic + Forcing Chains (73-96 nodes) CRCD Forcing Chains 10.5 Dynamic + Forcing Chains (97-144 nodes) CRCD Forcing Chains 10.6 Dynamic + Forcing Chains (145-192 nodes) CRCD Forcing Chains 10.7 Dynamic + Forcing Chains (193-288 nodes) CRCD Forcing Chains 10.8 Dynamic + Forcing Chains (289-384 nodes) CRCD Forcing Chains ------------------------------------------------------------------------------------- 10.9 Dynamic + Multiple Forcing Chains (73-96 nodes) CRCD Forcing Chains 11.0 Dynamic + Multiple Forcing Chains (97-144 nodes) CRCD Forcing Chains 11.1 Dynamic + Multiple Forcing Chains (145-192 nodes) CRCD Forcing Chains 11.2 Dynamic + Multiple Forcing Chains (193-288 nodes) CRCD Forcing Chains 11.3 Dynamic + Multiple Forcing Chains (289-384 nodes) CRCD Forcing Chains 11.4 Dynamic + Multiple Forcing Chains (385-576 nodes) CRCD Forcing Chains ------------------------------------------------------------------------------------- 11.4 Dynamic + Dynamic Forcing Chains (73-96 nodes) CRCD Forcing Chains 11.5 Dynamic + Dynamic Forcing Chains (97-144 nodes) CRCD Forcing Chains 11.6 Dynamic + Dynamic Forcing Chains (145-192 nodes) CRCD Forcing Chains 11.7 Dynamic + Dynamic Forcing Chains (193-288 nodes) CRCD Forcing Chains 11.8 Dynamic + Dynamic Forcing Chains (289-384 nodes) CRCD Forcing Chains 11.9 Dynamic + Dynamic Forcing Chains (385-576 nodes) CRCD Forcing Chains 12.0 Dynamic + Dynamic Forcing Chains (577-more nodes) CRCD Forcing Chains

[Sep. 18, 2007]
Change some scores. Delete Dynamic(++).
[Aug.7, 2008]
Add score to 12.0. Thanks Mike Barker's.

Code: Select all: #001 1.0 21.0 ...3..9...85.62713.21795.641.2843659.685.9231.391264.789.631572.5328.196.1695734. 21 x Hidden Single #002 1.2 61.0 1...2...4...6.1.....4...5...3.....6.6.......8.2.....9...9...4.....2.3...7...8...2 61 x Hidden Single #003 1.5 64.0 12.3.....3..............4..5..........46..7.....21.....78.9.........5.3........2. 64 x Hidden Single #004 1.7 64.7 ......13.....8...542.......6......2...5.1..........4...7.4.2......6..2..........1 63 x Hidden Single 1 x Direct Pointing #005 2.0 75.0 .7....3.82.9.......4....1.5....65......279......38....5.4....7.......6.91.3....4. 41 x Hidden Single 17 x Direct Hidden Pair #006 2.3 74.3 3.....5.2.........2.5.7.9.....123.....8.5.7.......9.....7.9.6.8.........1.4.....3 46 x Hidden Single 13 x Direct Hidden Pair 1 x Naked Single #007 2.5 72.6 1.2...3...3.....2.4.....5.6....31......572......48....6.9.....4.5.....1...7...2.8 45 x Hidden Single 9 x Direct Hidden Pair 2 x Naked Single 2 x Direct Hidden Triplet #008 2.6 101.8 .3........6..1..4..4..9..2.2....65.......76.......8.....12....8..95....7..8.....3 52 x Hidden Single 4 x Direct Hidden Pair 4 x Naked Single 13 x Pointing #009 2.8 108.1 ...6.9.....1...7...2.....9.8...5...77...4...64...2...8.3.....2...5...3.....4.8... 55 x Hidden Single 4 x Direct Hidden Pair 1 x Naked Single 10 x Pointing 6 x Claiming #010 3.0 117.3 .3..6.....8.....1..9..5..4......75..7....86.......12....59.......64....7..1.....8 53 x Hidden Single 2 x Direct Hidden Pair 3 x Naked Single 2 x Direct Hidden Triplet 14 x Pointing 4 x Naked Pair #011 3.2 109.0 ....2...4.986...1..65.......7...4...5...7...1...3...9...7...82..1...8.3.9...5.... 44 x Hidden Single 12 x Direct Hidden Pair 1 x Naked Single 1 x Direct Hidden Triplet 7 x Pointing 2 x Claiming 2 x Naked Pair 2 x X-Wing #012 3.4 121.7 .6.....4.7..3.8..9...2.7....29...13...........43...6.....8.2...8..6.9..5.1.....7. 54 x Hidden Single 1 x Direct Hidden Pair 2 x Naked Single 1 x Direct Hidden Triplet 15 x Pointing 2 x Naked Pair 4 x Hidden Pair #013 3.6 118.4 59.....3.36.....25....2.......7.1.....1...8.....5.9.......4....97......682.....73 55 x Hidden Single 2 x Direct Hidden Pair 2 x Naked Single 14 x Pointing 1 x Claiming 4 x Naked Pair 1 x Naked Triplet #014 3.8 124.1 1.....6.4.2..7..5.3...........14.....7..58.9....7.9...........3.5..9..2.4.6.....1 52 x Hidden Single 4 x Direct Hidden Pair 3 x Naked Single 6 x Pointing 2 x Naked Pair 6 x Hidden Pair 4 x Swordfish #015 4.0 134.5 41.....7.38.....61....8.......6.4.....7...9.....5.2.......5....2......3773.....14 55 x Hidden Single 3 x Direct Hidden Pair 1 x Direct Hidden Triplet 15 x Pointing 3 x Claiming 2 x Naked Pair 4 x Hidden Pair 1 x Hidden Triplet #016 4.2 142.5 ......12....32......4...56..7......8.3..4...9.....5...8.6...3..1.5.........98.... 54 x Hidden Single 1 x Direct Pointing 6 x Direct Hidden Pair 17 x Pointing 1 x Claiming 2 x Naked Pair 4 x Hidden Pair 1 x Hidden Triplet 1 x XY-Wing #017 4.4 137.2 ......16....27......3...59..8......3.7..2...4.....1...5.1...8..2.9.........36.... 56 x Hidden Single 3 x Direct Hidden Pair 2 x Naked Single 15 x Pointing 4 x Naked Pair 1 x Hidden Pair 1 x Naked Triplet 1 x Hidden Triplet 1 x XY-Wing 1 x XYZ-Wing #018 4.5 130.2 ..5...9.....7.8...4..3.1..7.51...43...........32...16.5..4.2..9...5.6.....6...8.. 53 x Hidden Single 2 x Direct Pointing 1 x Direct Hidden Pair 1 x Naked Single 14 x Pointing 1 x Claiming 5 x Naked Pair 1 x X-Wing 1 x Hidden Pair 1 x XY-Wing 1 x Unique Rectangle type 1 #019 4.6 133.2 1.......2.3.4.5.6.......7....7...2.....3.6.....8...4....2.......9.8.1.3.6.......9 57 x Hidden Single 1 x Direct Hidden Pair 3 x Direct Hidden Triplet 7 x Pointing 5 x Claiming 1 x Naked Pair 4 x Hidden Pair 2 x XYZ-Wing 1 x Unique Rectangle type 4 1 x Unique Loop type 4 #020 4.69 106.9 ....291.....6.....1.6..58..4.1....9.5...8...7.6....5.3..84..6.9.....7.....486.... 52 x Hidden Single 3 x Direct Hidden Pair 1 x Direct Hidden Triplet 5 x Pointing 3 x Naked Pair 1 x X-Wing 1 x Hidden Pair 1 x XY-Wing 1 x XYZ-Wing 1 x Unique Rectangle type 1 1 x Unique Loop type 3 #021 4.7 120.0 1.2...3...4.....5.3.....6.7....31......572......64....7.8.....9.6.....1...9...5.4 47 x Hidden Single 9 x Direct Hidden Pair 2 x Naked Single 5 x Pointing 3 x Naked Pair 2 x Hidden Pair 1 x Swordfish 1 x XYZ-Wing 1 x XY-Wing 1 x Unique Rectangle type 4 1 x Unique Rectangle type 3 #022 4.8 95.6 ..3...7......2....6.9.8.1.4...3.8....34...51....2.5...8.5.9.4.6....6......2...9.. 48 x Hidden Single 7 x Direct Hidden Pair 2 x Naked Single 1 x Claiming 1 x Naked Triplet 2 x XY-Wing 2 x Unique Rectangle type 1 1 x Unique Loop type 3 #023 4.89 107.6 ...........1.2.3...43.5.61....7.8....79...84....2.3....64.3.19...8.1.5........... 55 x Hidden Single 2 x Direct Hidden Pair 6 x Pointing 2 x Naked Pair 2 x X-Wing 2 x Hidden Pair 1 x XY-Wing 1 x Unique Rectangle type 1 1 x Unique Loop type 3 #024 4.9 127.4 1.2.3.4.5.........4..6.1..7..8...7..7...8...6..1...9..8..9.2..3.........3.7.6.5.8 53 x Hidden Single 2 x Direct Hidden Pair 1 x Direct Hidden Triplet 7 x Pionting 1 x Claiming 5 x Naked Pair 1 x X-Wing 2 x Hidden Pair 1 x Haked Triplet 2 x XY-Wing 1 x Unique Loop type 1 1 x Unique Loop 8 type 3 #025 5.0 110.7 ...........1.2.3...45.6.78....3.2....98...15....1.5....74.3.89...9.4.6........... 54 x Hidden Single 1 x Direct Hidden Pair 2 x Naked Single 7 x Pointing 1 x Claiming 1 x Naked Pair 2 x X-Wing 3 x Hidden Pair 1 x Unique Rectangle type 4 1 x Naked Quad #026 5.1 88.9 ...123......4.5.....3...6..47.....353.......225.....61..7...5.....2.8......379... 50 x Hidden Single 4 x Direct Hidden Pair 3 x Direct Hidden Triplet 4 x Pointing 1 x X-Wing 1 x Unique Loop 8 type 1 1 x Unique Loop 10 type 3 #027 5.2 122.7 .7......991.....64....5.......3.8.....8...3.....1.2.......4....16.....4232.....76 57 x Hidden Single 1 x Direct Hidden Pair 1 x Naked Single 15 x Pointing 1 x Claiming 3 x Hidden Pair 1 x XY-Wing 1 x Jellyfish #028 5.4 78.7 6.214..7.8.......4.4..8..1....85....1..2.4......96.....8..2..6.7.......92.673..4. 50 x Hidden Single 4 x Direct Hidden Pair 3 x Pointing 1 x Claiming 1 x Unique Rectangle type 1 1 x Hidden Quad #029 5.6 134.8 ...........1.2.3...45.6.78....4.1....87...51....5.9....62.4.83...3.9.6........... 51 x Hidden Single 1 x Direct Pointing 2 x Direct Hidden Pair 2 x Naked Single 1 x Direct Hidden Triplet 8 x Pointing 1 x Naked Pair 3 x X-Wing 2 x Hidden Pair 1 x Naked Triplet 1 x Hidden Triplet 4 x XY-Wing 1 x BUG type 1 #030 5.7 127.6 .2....4.....72...53..18.....45.......91....7.......68......5..7....39.....6....3. 57 x Hidden Single 2 x Direct Hidden Pair 1 x Direct Hidden Triplet 14 x Pointing 4 x Hidden Pair 1 x XYZ-Wing 1 x Unique Rectangle type 2 1 x BUG type 4 #031 5.8 131.7 ......45....74......9...38..7......9.4..6...1.....8...6.8...9..5.3.........21.... 57 x Hidden Single 2 x Direct Pointing 2 x Direct Hidden Pair 10 x Pointing 4 x Naked Pair 1 x Hidden Pair 2 x Naked Triplet 2 x XY-Wing 1 x Unique Rectangle type 1 1 x BUG type 3 #032 5.9 106.0 ......12....34......5...67..6......8.4..9...5.....1...7.1...8..2.3.........53.... 49 x Hidden Single 3 x Direct Pointing 9 x Direct Hidden Pair 7 x Pointing 1 x Naked Pair 2 x Hidden Pair 1 x BUG type 3 #033 6.0 100.1 ..46......1...85..9......7.5..2...6.....5.....7......8.6......1..19...2......73.4 59 x Hidden Single 1 x Naked Single 2 x Pointing 1 x Claiming 1 x Hidden Pair 1 x Naked Triplet 1 x Swordfish 2 x XY-Wing 1 x BUG type 1 1 x BUG type 3 #034 6.1 82.3 ..8...3.....5.4...4....1..2.19...85...........53...62.1..4.8..7...9.6.....7...9.. 54 x Hidden Single 4 x Direct Hidden Pair 1 x Pointing 2 x Naked Pair 1 x BUG type 1 1 x BUG type 3 #035 6.2 116.2 ..1...2......1....3.2.4.5.6...4.7....83...97....1.9...4.9.5.3.2....2......5...6.. 46 x Hidden Single 9 x Direct Hidden Pair 2 x Naked Single 2 x Pointing 1 x Claiming 3 x Naked Pair 1 x X-Wing 1 x Naked Triplet 1 x XYZ-Wing 1 x XY-Wing 2 x Unique Rectangle type 4 1 x Aligned Pair Exclusion #036 6.5 119.5 .......4.89.2..5...2..35..9..1.7.6...4...6..7..8.1.3...1..54..325.9..4.........7. 51 x Hidden Single 2 x Direct Hidden Pair 1 x Naked Single 2 x Pointing 1 x Naked Pair 1 x X-Wing 3 x Hidden Pair 1 x Naked Triplet 2 x XYZ-Wing 1 x XY-Wing 1 x Unique Rectangle type 3 3 x Bidirectional X-Cycle #037 6.6 157.6 ...873..2..6..93.............4....9.26.....4171.....68...........24378.....562... 52 x Hidden Single 3 x Direct Hidden Pair 1 x Naked Single 12 x Pointing 2 x Claiming 4 x Naked Pair 1 x XYZ-Wing 1 x XY-Wing 1 x Unique Rectangle type 1 1 x Unique Rectangle type 3 1 x Hidden Quad 1 x BUG type 1 3 x Turbot Fish #038 6.69 152.0 ..3...8.....569...2.......1.9.4...7..7.....1..4.3.5.6.6.......5...218.....7...3.. 56 x Hidden Single 1 x Direct Hidden Pair 1 x Direct Hidden Triplet 10 x Pointing 2 x Claiming 5 x Naked Pair 1 x X-Wing 1 x Hidden Triplet 1 x Unique Rectangle type 1 3 x Turbot Fish 2 x Forcing X-Chain #039 6.7 151.1 ..8....5..6..2....4..7..6....4..8..9....1..2..2....3..9..4....3..1.......5..6..1. 58 x Hidden Single 2 x Direct Hidden Pair 5 x Pointing 2 x Hidden Pair 1 x Naked Triplet 3 x XY-Wing 7 x Turbot Fish 1 x Bidirectional Y-Cycle #040 6.8 178.0 ..1..3.5.7..4..9...3......44...2..8....9.5....8..7...6.......4...2..6..1.6.7..2.. 57 x Hidden Single 1 x Direct Hidden Pair 9 x Pointing 1 x Claiming 2 x Naked Pair 1 x X-Wing 1 x Hidden Pair 3 x Naked Triplet 3 x XY-Wing 1 x XYZ-Wing 1 x Unique Rectangle type 1 2 x Turbot Fish 1 x Forcing X-Chain 4 x Bidirectional Y-Cycle #041 6.9 155.6 1....2.3...24..5...6..3...7.2.....1...8.5...39.....8...4...96..6..7....8..9.1..5. 49 x Hidden Single 4 x Direct Hidden Pair 3 x Naked Single 6 x Pointing 3 x Naked Pair 2 x Naked Triplet 1 x Swordfish 1 x XYZ-Wing 1 x BUG type 1 1 x Aligned Pair Exclusion 5 x Turbot Fish 1 x Bidirectional Y-Cycle #042 7.0 152.2 ......12....34......5...67..4......5.8..2...9.....6...1.7...4..8.6.........19.... 55 x Hidden Single 3 x Direct Hidden Pair 3 x Naked Single 12 x Pointing 2 x Claiming 1 x Naked Pair 1 x X-Wing 2 x Hidden Pair 1 x XY-Wing 1 x XYZ-Wing 1 x BUG type 4 1 x Turbot Fish 1 x Forcing X-Chain 1 x Bidirectional Y-Cycle #043 7.1 271.4 3...1...6.5.9...2...........9.2.6.1.5.......4.8...9.5...........2.6.4.8.7...3...1 54 x Hidden Single 3 x Naked Single 1 x Direct Hidden Triplet 7 x Pointing 3 x Naked Pair 1 x X-Wing 3 x Hidden Pair 1 x Naked Triplet 2 x Swordfish 2 x XYZ-Wing 2 x XY-Wing 1 x Unique Loop type 1 2 x Turbot Fish 2 x Forcing X-Chain 2 x Bidirectional Cycle 13 x Forcing Chain #044 7.2 320.6 3...1...6.5.9...2...........9.2.....5.......4.8.7.9.5...........2.6.4.8.7...3...1 57 x Hidden Single 3 x Naked Single 7 x Pointing 3 x Naked Pair 4 x Hidden Pair 2 x Naked Triplet 3 x Swordfish 1 x XYZ-Wing 2 x Bidirectional Y-Cycle 1 x Turbot Fish 3 x Bidirectional Cycle 21 x Forcing Chain #045 7.3 395.9 6..5..7......4......5..9..42..7..1...4.....3...8..5..67..1..2......3......3..8..5 58 x Hidden Single 1 x Direct Hidden Triplet 5 x Pointing 2 x Claiming 5 x Naked Pair 2 x X-Wing 2 x Hidden Pair 2 x Naked Triplet 2 x Swordfish 2 x XY-Wing 1 x Turbot Fish 1 x Bidirectional Y-Cycle 5 x Bidirectional Cycle 30 x Forcing Chain #046 7.4 430.3 3...1...6.5.9.3.2...........9.2.....5.......4.8.7.9.5...........2.6...8.7...3...1 58 x Hidden Single 1 x Direct Hidden Pair 1 x Naked Single 5 x Pointing 1 x Claiming 4 x Naked Pair 2 x X-Wing 5 x Hidden Pair 1 x Naked Triplet 3 x Swordfish 1 x XY-Wing 2 x Bidirectional Y-Cycle 3 x Turbot Fish 3 x Bidirectional Cycle 34 x Forcing Chain #047 7.5 395.8 ..19......5...76..2......8.4..8...9.....5.....6...1..3.7......5..93...7......61.. 60 x Hidden Single 6 x Pointing 4 x Naked Pair 4 x Hidden Pair 1 x Naked Triplet 3 x Swordfish 2 x Turbot Fish 3 x Bidirectional Cycle 33 x Forcing Chain 1 x Aligned Triplet Exclusion #048 7.6 363.2 ...8..5......3..9...2..5..78..5..9...7..6..4...4..1..29..6..8...6..7......1..4... 56 x Hidden Single 1 x Naked Single 2 x Pointing 2 x Naked Pair 2 x X-Wing 4 x Hidden Pair 1 x Naked Triplet 1 x Swordfish 1 x XY-Wing 2 x XYZ-Wing 1 x Unique Rectangle type 4 3 x Turbot Fish 2 x Forcing X-Chain 1 x Bidirectional Cycle 27 x Forcing Chain 1 x Nishio Forcing Chains #049 7.7 269.2 ...........1.2.3...43.5.26....2.6....67...81....8.9....15.4.63...2.9.7........... 51 x Hidden Single 2 x Direct Hidden Pair 4 x Naked Single 7 x Pointing 1 x Naked Pair 3 x X-Wing 3 x XY-Wing 1 x XYZ-Wing 2 x Bidirectional Y-Cycle 2 x Turbot Fish 17 x Forcing Chain 1 x Nishio Forcing Chains #050 7.8 370.2 1.....6.4.2..7..5.3............4.....7.581.9....7.9...........3.5..9..2.4.6.....1 57 x Hidden Single 6 x Pointing 2 x Claiming 3 x Naked Pair 2 x Hidden Pair 2 x Swordfish 1 x Hidden Triplet 1 x Naked Quad 1 x Jellyfish 1 x Turbot Fish 2 x Forcing X-Chain 18 x Forcing Chain 2 x Bidirectional Cycle 10 x Aligned Triplet Exclusion 2 x Nishio Forcing Chains #051 7.9 327.1 .....67.....1...56.4..9......6..2..8..2...1..3..5..9......6..4.71...8.....82..... 58 x Hidden Single 1 x Direct Hidden Pair 8 x Pointing 2 x Claiming 3 x Naked Pair 2 x X-Wing 1 x Hidden Pair 1 x Naked Triplet 1 x Hidden Triplet 1 x XY-Wing 1 x Bidirectional X-Cycle 2 x Turbot Fish 1 x Bidirectional Y-Cycle 3 x Bidirectional Cycle 15 x Forcing Chain 2 x Aligned Triplet Exclusion 5 x Nishio Forcing Chains #052 8.0 379.4 ..12......3...45..6......7.7..8...1...........4...3..9.5......4..87...6......93.. 58 x Hidden Single 1 x Direct Hidden Pair 1 x Naked Single 2 x Pointing 7 x Naked Pair 1 x X-Wing 5 x Hidden Pair 1 x Naked Triplet 2 x Swordfish 2 x Turbot Fish 4 x Forcing X-Chain 2 x Bidirectional Y-Cycle 1 x Bidirectional Cycle 20 x Forcing Chain 7 x Nishio Forcing Chains #053 8.1 336.2 ......7.9.5...9.127..2.......5..4.3.9...8...4.4.1..5.......3..761.9...5.8.7...... 54 x Hidden Single 2 x Naked Single 6 x Pointing 3 x Claiming 2 x Hidden Pair 1 x Naked Triplet 1 x Turbot Fish 3 x Forcing X-Chain 28 x Forcing Chain 1 x Bidirectional Cycle 1 x Nishio Forcing Chains #054 8.2 500.2 ..12......3...45..6......7.7..6...2...........8...3..4.4......5..21...6......83.. 58 x Hidden Single 2 x Naked Single 1 x Direct Hidden Triplet 5 x Pointing 3 x Claiming 3 x Naked Pair 1 x X-Wing 1 x Naked Triplet 2 x Swordfish 1 x XY-Wing 1 x Forcing X-Chain 4 x Bidirectional Cycle 43 x Forcing Chain 1 x Nishio Forcing Chains 4 x Region Forcing Chains #055 8.3 461.1 6...5...2.8.1.3.9...............5.8.2.......5.3.9.4.1...........9...8.5.1...7...6 54 x Hidden Single 5 x Naked Single 4 x Pointing 2 x Claiming 4 x Naked Pair 1 x X-Wing 3 x Hidden Pair 2 x Swordfish 4 x Bidirectional Y-Cycle 3 x Turbot Fish 1 x Forcing X-Chain 5 x Bidirectional Cycle 22 x Forcing Chain 4 x Nishio Forcing Chains 6 x Region Forcing Chains 2 x Cell Forcing Chains #056 8.4 477.7 3...4..7....9..8....2..3..9....2..4.1.....5....6..8....8..1...37..5...1...3...6.. 57 x Hidden Single 1 x Direct Hidden Pair 4 x Pointing 1 x Claiming 5 x Naked Pair 2 x X-Wing 1 x Hidden Pair 1 x Unique Rectangle type 4 1 x BUG type 2 2 x Bidirectional X-Cycle 2 x Turbot Fish 4 x Forcing X-Chain 3 x Bidirectional Y-Cycle 10 x Forcing Chain 4 x Nishio Forcing Chains 19 x Region Forcing Chains 4 x Cell Forcing Chains #057 8.5 558.8 1...4.........83....5....7..9...74..5.......2..29...6..7....8....93...1.....8...5 59 x Hidden Single 1 x Naked Single 6 x Pointing 4 x Claiming 4 x Naked Pair 3 x X-Wing 3 x Hidden Pair 3 x Naked Triplet 1 x Swordfish 2 x Hidden Triplet 1 x XY-Wing 5 x Bidirectional Y-Cycle 5 x Forcing X-Chain 5 x Bidirectional Cycle 29 x Forcing Chain 2 x Nishio Forcing Chains 10 x Region Forcing Chains #058 8.6 531.0 ..1..2..3.3.....4.5...6.2.....4.7..8..7...4..1..9.6.....8.9...2.5.....7.6..7..5.. 56 x Hidden Single 1 x Direct Hidden Pair 3 x Pointing 3 x Claiming 2 x Naked Pair 2 x Hidden Pair 1 x Naked Triplet 1 x Turbot Fish 1 x Bidirectional Cycle 5 x Forcing Chain 8 x Nishio Forcing Chains 7 x Cell Forcing Chains 32 x Region Forcing Chains #059 8.7 527.7 1...5...9.4...7.....6...4.....8...5.5...9...1.7...2.....8...2.....6...7.9...1...6 52 x Hidden Single 7 x Naked Single 5 x Pointing 3 x Claiming 1 x Naked Pair 1 x X-Wing 2 x Hidden Pair 2 x Swordfish 2 x XY-Wing 5 x Bidirectional Y-Cycle 2 x Turbot Fish 1 x Forcing X-Chain 2 x Bidirectional Cycle 18 x Forcing Chain 6 x Cell Forcing Chains 19 x Region Forcing Chains #060 8.8 626.0 ..67......8...92..3......1.6..3...7...........2...8..5.9......4..75...3......28.. 57 x Hidden Single 1 x Direct Hidden Pair 3 x Naked Single 6 x Pointing 5 x Claiming 2 x Naked Pair 1 x Hidden Pair 3 x Swordfish 2 x Hidden Triplet 1 x XY-Wing 1 x Turbot Fish 2 x Bidirectional Y-Cycle 3 x Bidirectional Cycle 37 x Forcing Chain 8 x Nishio Forcing Chains 10 x Region Forcing Chains 4 x Cell Forcing Chains 1 x Dynamic Region Forcing Chains #061 8.9 552.0 8...7...5.5.6.2.9.............4.1.2.1.......3.2.8...6...........4.9.6.8.3...1...7 56 x Hidden Single 1 x Direct Hidden Pair 1 x Naked Single 7 x Pointing 2 x Claiming 4 x Naked Pair 1 x X-Wing 5 x Hidden Pair 1 x Swordfish 1 x Hidden Triplet 2 x XYZ-Wing 3 x XY-Wing 2 x Bidirectional Cycle 16 x Forcing Chain 6 x Nishio Forcing Chains 16 x Region Forcing Chains 6 x Cell Forcing Chains 1 x Dynamic Contradiction Forcing Chains 4 x Dynamic Region Forcing Chains #062 9.0 680.0 5...8...3.7.1...5...........3...6.9.1.......4.6.2.9.7...........9...3.2.3...5...8 56 x Hidden Single 1 x Direct Hidden Pair 3 x Naked Single 8 x Pointing 1 x Claiming 2 x Naked Pair 3 x X-Wing 2 x Hidden Pair 1 x Swordfish 3 x XY-Wing 2 x Bidirectional Y-Cycle 6 x Forcing Chain 2 x Nishio Forcing Chains 12 x Region Forcing Chains 15 x Cell Forcing Chains 16 x Dynamic Region Forcing Chains 5 x Dynamic Cell Forcing Chains 7 x Dynamic Contradiction Forcing Chains #063 9.1 782.3 ..........4...7.5...8.1...97.....2....9.3...8.5...6.3....3......6...2.4...1.8...2 59 x Hidden Single 2 x Naked Single 6 x Pointing 1 x Claiming 2 x Naked Pair 5 x Hidden Pair 3 x Swordfish 2 x Hidden Triplet 2 x Bidirectional X-Cycle 2 x Turbot Fish 1 x Forcing X-Chain 28 x Forcing Chain 7 x Nishio Forcing Chains 5 x Cell Forcing Chains 26 x Region Forcing Chains 3 x Dynamic Contradiction Forcing Chains 7 x Dynamic Region Forcing Chains 2 x Dynamic Cell Forcing Chains #064 9.2 773.9 .....1..2.3..2..4.5..6.......6.....7.7..1..3.8.....5..7....5.......3..2...98..6.. 57 x Hidden Single 2 x Naked Single 1 x Direct Hidden Triplet 8 x Pointing 5 x Claiming 4 x Naked Pair 1 x X-Wing 3 x Hidden Pair 1 x Swordfish 6 x Forcing Chain 2 x Bidirectional Cycle 5 x Nishio Forcing Chains 3 x Cell Forcing Chains 10 x Region Forcing Chains 27 x Dynamic Region Forcing Chains 17 x Dynamic Contradiction Forcing Chains 4 x Dynamic Cell Forcing Chains 1 x Dynamic Double Forcing Chains #065 9.3 643.7 7..8......2..6......9..1..42..7..8...5.....1...6..3..94..3..5......2..6......9..3 54 x Hidden Single 1 x Direct Hidden Pair 1 x Naked Single 7 x Pointing 1 x Claiming 3 x Naked Pair 1 x X-Wing 1 x Forcing X-Chain 1 x Bidirectional Y-Cycle 9 x Forcing Chain 1 x Nishio Forcing Chains 8 x Region Forcing Chains 8 x Cell Forcing Chains 25 x Dynamic Contradiction Forcing Chains 9 x Dynamic Region Forcing Chains 3 x Dynamic Cell Forcing Chains #066 9.4 833.1 ..12......3...45..6......7.7..6...2...........8...9..3.5......4..87...6......39.. 59 x Hidden Single 1 x Naked Single 9 x Pointing 3 x Claiming 5 x Naked Pair 1 x X-Wing 2 x Hidden Pair 1 x Swordfish 2 x XY-Wing 1 x Unique Rectangle type 2 1 x Turbot Fish 3 x Bidirectional Cycle 23 x Forcing Chain 1 x Nishio Forcing Chains 7 x Region Forcing Chains 1 x Cell Forcing Chains 12 x Dynamic Region Forcing Chains 30 x Dynamic Contradiction Forcing Chains 1 x Dynamic Double Forcing Chains 5 x Dynamic Cell Forcing Chains #067 9.5 659.7 ..64......8...92..3......1.1..3...6...........7...8..5.5......9..41...2......78.. 56 x Hidden Single 2 x Direct Hidden Pair 1 x Naked Single 7 x Pointing 1 x Claiming 3 x Naked Pair 1 x Hidden Pair 1 x Swordfish 1 x XY-Wing 1 x Bidirectional Cycle 6 x Forcing Chain 6 x Region Forcing Chains 1 x Cell Forcing Chains 6 x Dynamic Cell Forcing Chains 6 x Dynamic Region Forcing Chains 38 x Dynamic Contradiction Forcing Chains #068 9.6 767.4 1.......4.2..8..5...3...6......27....7...4.8....3.......4...1...5..7..2.6.......3 58 x Hidden Single 1 x Naked Single 1 x Pointing 2 x Claiming 2 x Naked Pair 7 x Hidden Pair 1 x Swordfish 3 x XYZ-Wing 1 x XY-Wing 2 x Turbot Fish 1 x Forcing X-Chain 6 x Forcing Chain 4 x Region Forcing Chains 32 x Dynamic Contradiction Forcing Chains 11 x Dynamic Region Forcing Chains 2 x Dynamic Cell Forcing Chains 1 x Dynamic Double Forcing Chains 14 x Dynamic Double Forcing Chains (+) #069 9.7 786.2 1.......2.2..3..4...5...6.....3.7....4..1..3....8.5.....8...5...3..2..9.6.......1 57 x Hidden Single 1 x Direct Hidden Pair 2 x Naked Single 8 x Pointing 1 x Claiming 3 x Naked Pair 3 x X-Wing 4 x Hidden Pair 2 x Naked Triplet 1 x Swordfish 2 x XY-Wing 1 x Bidirectional X-Cycle 5 x Bidirectional Y-Cycle 2 x Turbot Fish 1 x Bidirectional Cycle 12 x Forcing Chain 2 x Nishio Forcing Chains 14 x Region Forcing Chains 3 x Cell Forcing Chains 28 x Dynamic Contradiction Forcing Chains 7 x Dynamic Region Forcing Chains 3 x Dynamic Region Forcing Chains (+) #070 9.8 573.5 6....19...8..3......17....2..2.....7.5.....1.4.....3..3....96......4..8...82....5 57 x Hidden Single 2 x Direct Hidden Pair 4 x Pointing 2 x Naked Pair 3 x X-Wing 5 x Hidden Pair 1 x Naked Triplet 1 x Swordfish 1 x Turbot Fish 2 x Forcing X-Chain 1 x Bidirectional Y-Cycle 3 x Forcing Chain 5 x Nishio Forcing Chains 2 x Region Forcing Chains 1 x Dynamic Cell Forcing Chains 6 x Dynamic Region Forcing Chains 31 x Dynamic Contradiction Forcing Chains 2 x Dynamic Contradiction Forcing Chains (+) #071 9.9 641.5 1...2...3.4.....5...6...7.....5.7...8...6...1...8.9.....7...6...5.....4.3...4...8 58 x Hidden Single 2 x Naked Single 11 x Pointing 5 x Claiming 5 x Naked Pair 5 x Hidden Pair 2 x Naked Triplet 2 x Swordfish 1 x XY-Wing 1 x BUG type 1 1 x Turbot Fish 5 x Bidirectional Y-Cycle 1 x Bidirectional Cycle 13 x Forcing Chain 4 x Region Forcing Chains 2 x Cell Forcing Chains 17 x Dynamic Contradiction Forcing Chains 11 x Dynamic Region Forcing Chains 2 x Dynamic Cell Forcing Chains 2 x Dynamic Contradiction Forcing Chains (+) #072 10.0 627.2 ..1..2....3..4..5.5..6..7....7.....6.1.....8.9.....2....2..1..4.8..3..1....9..5.. 55 x Hidden Single 1 x Direct Hidden Pair 2 x Naked Single 4 x Pointing 2 x Claiming 1 x X-Wing 2 x Hidden Pair 1 x XY-Wing 2 x Turbot Fish 1 x Forcing X-Chain 9 x Forcing Chain 5 x Nishio Forcing Chains 4 x Cell Forcing Chains 3 x Region Forcing Chains 6 x Dynamic Region Forcing Chains 4 x Dynamic Cell Forcing Chains 23 x Dynamic Contradiction Forcing Chains 1 x Dynamic Double Forcing Chains 3 x Dynamic Contradiction Forcing Chains (+) #073 10.1 703.1 1.......2.3.4...5...6...7...5.63........2.......5.4.8...2...6...8...5.3.7.......1 60 x Hidden Single 8 x Pointing 4 x Claiming 2 x Naked Pair 4 x Hidden Pair 1 x Naked Triplet 1 x XYZ-Wing 1 x Turbot Fish 9 x Forcing Chain 3 x Nishio Forcing Chains 6 x Region Forcing Chains 3 x Cell Forcing Chains 2 x Dynamic Cell Forcing Chains 20 x Dynamic Contradiction Forcing Chains 2 x Dynamic Region Forcing Chains 15 x Dynamic Contradiction Forcing Chains (+) 6 x Dynamic Region Forcing Chains (+) #074 10.2 565.8 .1......23.4.......5..6.1.....4....7..8.1..3......95....6..79......3..8.2..9....4 53 x Hidden Single 1 x Direct Hidden Pair 4 x Naked Single 4 x Pointing 1 x Naked Pair 1 x XY-Wing 1 x XYZ-Wing 2 x Turbot Fish 6 x Forcing Chain 1 x Nishio Forcing Chains 4 x Region Forcing Chains 7 x Dynamic Region Forcing Chains 14 x Dynamic Cell Forcing Chains 14 x Dynamic Contradiction Forcing Chains 6 x Dynamic Contradiction Forcing Chains (+) 1 x Dynamic Region Forcing Chains (+ Forcing Chains) #075 10.3 609.9 .1......23.4.......5..4.6.....5....7..6.8..9......73....9..41......6..8.2..3....5 49 x Hidden Single 1 x Direct Hidden Pair 7 x Naked Single 7 x Pointing 2 x Claiming 2 x Naked Pair 1 x X-Wing 1 x Hidden Pair 1 x XY-Wing 2 x XYZ-Wing 1 x Unique Rectangle type 4 1 x Turbot Fish 2 x Forcing X-Chain 1 x Bidirectional Cycle 6 x Forcing Chain 2 x Nishio Forcing Chains 6 x Region Forcing Chains 1 x Cell Forcing Chains 7 x Dynamic Region Forcing Chains 7 x Dynamic Cell Forcing Chains 18 x Dynamic Contradiction Forcing Chains 5 x Dynamic Contradiction Forcing Chains (+) 1 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) #076 10.4 797.6 ..17......8...92..3......6.6..1...7...........9...5..8.5......2..74...1......83.. 56 x Hidden Single 1 x Direct Hidden Pair 3 x Naked Single 9 x Pointing 3 x Claiming 4 x Naked Pair 1 x X-Wing 3 x Hidden Pair 1 x Swordfish 1 x Hidden Triplet 2 x XY-Wing 1 x Bidirectional Y-Cycle 2 x Bidirectional Cycle 9 x Forcing Chain 6 x Region Forcing Chains 4 x Cell Forcing Chains 8 x Dynamic Cell Forcing Chains 6 x Dynamic Region Forcing Chains 20 x Dynamic Contradiction Forcing Chains 1 x Dynamic Region Forcing Chains (+) 13 x Dynamic Contradiction Forcing Chains (+) 3 x Dynamic Region Forcing Chains (+ Forcing Chains) 2 x Dynamic Cell Forcing Chains (+ Forcing Chains) #077 10.5 627.7 .1......23.4.......5..6.7.....2....1..7.8..4......95....1..46......1..8.9..5....3 55 x Hidden Single 2 x Direct Hidden Pair 1 x Naked Single 7 x Pointing 2 x Naked Pair 4 x Hidden Pair 1 x Naked Triplet 1 x XYZ-Wing 1 x Turbot Fish 1 x Bidirectional Cycle 2 x Forcing Chain 4 x Cell Forcing Chains 7 x Region Forcing Chains 8 x Dynamic Cell Forcing Chains 6 x Dynamic Region Forcing Chains 21 x Dynamic Contradiction Forcing Chains 2 x Dynamic Double Forcing Chains 4 x Dynamic Contradiction Forcing Chains (+) 3 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) #078 10.6 598.9 .1......23.4.......5..6.4.....5....1..2.7..8......96....8..49......2..7.6..3....5 50 x Hidden Single 1 x Direct Pointing 3 x Direct Hidden Pair 4 x Naked Single 6 x Pointing 3 x Claiming 2 x Naked Pair 3 x Hidden Pair 1 x Naked Triplet 3 x Turbot Fish 4 x Bidirectional Cycle 4 x Forcing Chain 2 x Region Forcing Chains 2 x Cell Forcing Chains 17 x Dynamic Contradiction Forcing Chains 11 x Dynamic Region Forcing Chains 3 x Dynamic Cell Forcing Chains 3 x Dynamic Contradiction Forcing Chains (+) 6 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 1 x Dynamic Region Forcing Chains (+ Forcing Chains) #079 10.7 550.5 1....2..3.2..3..4...56.......3.....2.6..1..7.8.....9.......48...7..6..5.9..5....1 54 x Hidden Single 3 x Naked Single 6 x Pointing 1 x Claiming 4 x Naked Pair 2 x X-Wing 2 x Hidden Pair 1 x XYZ-Wing 1 x BUG type 1 2 x Turbot Fish 1 x Forcing X-Chain 3 x Forcing Chain 1 x Cell Forcing Chains 7 x Region Forcing Chains 8 x Dynamic Region Forcing Chains 3 x Dynamic Cell Forcing Chains 19 x Dynamic Contradiction Forcing Chains 3 x Dynamic Contradiction Forcing Chains (+) 3 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) #080 10.8 630.0 ..34...8......92......6...1..7.1.....6...2...5..8...4..1....9..8......3...45....7 56 x Hidden Single 1 x Direct Hidden Pair 2 x Naked Single 6 x Pointing 1 x Claiming 1 x Naked Pair 3 x Hidden Pair 1 x Naked Triplet 3 x Hidden Triplet 1 x Bidirectional Cycle 4 x Forcing Chain 1 x Aligned Triplet Exclusion 1 x Nishio Forcing Chains 3 x Region Forcing Chains 4 x Cell Forcing Chains 3 x Dynamic Cell Forcing Chains 13 x Dynamic Contradiction Forcing Chains 3 x Dynamic Region Forcing Chains 1 x Dynamic Double Forcing Chains (+) 6 x Dynamic Contradiction Forcing Chains (+) 17 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) #081 10.9 #082 11.0 #083 11.1 551.7 5.......9.2.1...7...8...3...4.2.6.......5.......7.8.1.3.....8...6...4.2...9.....5 58 x Hidden Single 1 x Naked Single 6 x Pointing 2 x Hidden Pair 1 x Swordfish 4 x Hidden Triplet 1 x XYZ-Wing 1 x Turbot Fish 6 x Forcing Chain 1 x Nishio Forcing Chains 4 x Region Forcing Chains 4 x Cell Forcing Chains 4 x Dynamic Cell Forcing Chains 6 x Dynamic Contradiction Forcing Chains 5 x Dynamic Region Forcing Chains 2 x Dynamic Contradiction Forcing Chains (+) 2 x Dynamic Region Forcing Chains (+ Forcing Chains) 11 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 3 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) #084 11.2 #085 11.3 #086 11.4 #087 11.5 755.0 1.......5.9.2...4...3...7...8.9.6.......5.......84..9...5...3...6...4.2.7.......1 58 x Hidden Single 1 x Direct Hidden Pair 4 x Pointing 1 x Claiming 4 x Naked Pair 3 x Hidden Pair 2 x Swordfish 2 x Hidden Triplet 1 x XY-Wing 1 x Turbot Fish 8 x Forcing Chain 1 x Bidirectional Cycle 1 x Nishio Forcing Chains 10 x Region Forcing Chains 4 x Cell Forcing Chains 4 x Dynamic Region Forcing Chains 2 x Dynamic Cell Forcing Chains 2 x Dynamic Double Forcing Chains 9 x Dynamic Contradiction Forcing Chains 2 x Dynamic Region Forcing Chains (+ Forcing Chains) 21 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 5 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) #088 11.6 684.9 1.......2.9.4...5...6...7...5.9.3.......7.......85..4.7.....6...3...9.8...2.....1 58 x Hidden Single 5 x Pointing 3 x Claiming 2 x Naked Pair 1 x X-Wing 1 x Hidden Pair 2 x Naked Triplet 1 x Hidden Triplet 3 x Turbot Fish 1 x Bidirectional Cycle 12 x Forcing Chain 2 x Nishio Forcing Chains 2 x Region Forcing Chains 11 x Dynamic Contradiction Forcing Chains 7 x Dynamic Region Forcing Chains 1 x Dynamic Cell Forcing Chains 1 x Dynamic Cell Forcing Chains (+) 1 x Dynamic Region Forcing Chains (+) 5 x Dynamic Contradiction Forcing Chains (+) 11 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 1 x Dynamic Region Forcing Chains (+ Forcing Chains) 7 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) #089 11.7 833.3 1.......6.5.7...8...3...4.....2.8.9.....1.....8.95....6.....3...7...5.2...4.....1 57 x Hidden Single 2 x Naked Single 5 x Pointing 5 x Claiming 1 x Naked Pair 1 x Hidden Pair 4 x Naked Triplet 1 x Swordfish 2 x XY-Wing 2 x Naked Quad 2 x Turbot Fish 11 x Forcing Chain 1 x Bidirectional Cycle 2 x Nishio Forcing Chains 4 x Cell Forcing Chains 2 x Region Forcing Chains 5 x Dynamic Cell Forcing Chains 15 x Dynamic Contradiction Forcing Chains 4 x Dynamic Region Forcing Chains 4 x Dynamic Contradiction Forcing Chains (+) 7 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 1 x Dynamic Region Forcing Chains (+ Forcing Chains) 11 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) 1 x Dynamic Region Forcing Chains (+ Multiple Forcing Chains) 4 x Dynamic Contradiction Forcing Chains (+ Dynamic Forcing Chains) 1 x Dynamic Cell Forcing Chains (+ Dynamic Forcing Chains) 1 x Dynamic Region Forcing Chains (+ Dynamic Forcing Chains) #090 11.8 747.4 3.......4.8.2...7...6...5...1.9.8.......6.........7.2...5...6...9...1.8.4.......3 57 x Hidden Single 2 x Direct Hidden Pair 1 x Naked Single 5 x Pointing 2 x Naked Pair 1 x X-Wing 3 x Hidden Pair 2 x Naked Triplet 1 x Swordfish 1 x XY-Wing 1 x BUG type 1 1 x Forcing X-Chain 1 x Bidirectional Cycle 8 x Forcing Chain 2 x Nishio Forcing Chains 14 x Region Forcing Chains 5 x Cell Forcing Chains 1 x Dynamic Cell Forcing Chains 7 x Dynamic Contradiction Forcing Chains 3 x Dynamic Region Forcing Chains 3 x Dynamic Contradiction Forcing Chains (+) 11 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 2 x Dynamic Region Forcing Chains (+ Forcing Chains) 5 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) 2 x Dynamic Region Forcing Chains (+ Dynamic Forcing Chains) 4 x Dynamic Contradiction Forcing Chains (+ Dynamic Forcing Chains) #091 11.9 731.2 .......39.....1..5..3.5.8....8.9...6.7...2...1..4.......9.8..5..2....6..4..7...... 58 x Hidden Single 2 x Naked Single 6 x Pointing 1 x Claiming 3 x Naked Pair 1 x X-Wing 1 x Hidden Pair 1 x Turbot Fish 4 x Forcing Chain 1 x Nishio Forcing Chains 5 x Region Forcing Chains 5 x Cell Forcing Chains 2 x Dynamic Cell Forcing Chains 13 x Dynamic Contradiction Forcing Chains 1 x Dynamic Double Forcing Chains 2 x Dynamic Region Forcing Chains 1 x Dynamic Region Forcing Chains (+) 2 x Dynamic Contradiction Forcing Chains (+) 8 x Dynamic Contradiction Forcing Chains (+ Forcing Chains) 13 x Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) 2 x Dynamic Cell Forcing Chains (+ Dynamic Forcing Chains) 2 x Dynamic Contradiction Forcing Chains (+ Dynamic Forcing Chains) 4 x Dynamic Region Forcing Chains (+ Dynamic Forcing Chains) #092 12.0

by **Pat** » Wed Mar 07, 2007 1:19 pm

Eioru wrote:
A. puzzle number ( 01 - 67 )
B. rating by Nicolas Juillerat [ Sudoku Explainer ]
C. puzzle
D. Eioru's score
Code: Select all
01,01.7,8.9.5..........57.4.......3..71..29.6..5........3..1.7.85....1.......8....1.6...5,059.4 02,02.0,...2.....8.9.........7.4.....6.1.4.5.....7...1...2.7.3.3.6...9.7.8.......2.5.3.1.,067.0 03,02.3,.3.....9.1..6.5..4...1.4....79...45...........4....63....7.2...2..8.1..7.5.....8.,065.6 04,02.5,.9.....3.3..4.6..5...2.7....26...1............15...78....5.2...5..8.3..9.7.....4.,064.8 05,02.6,.2.....1.9..3.6..5...4.9....18...42...........79...8.....6.7........5..6.8.....3.,076.9 06,02.8,5.......6.1.7.2.8...8...5...4.1.9.7.....2.......3.6.1...3...2...9...7.3.7.......8,085.1 07,03.0,5.........2.9.1.5...3...8...8...5.6.....1.....3.4.6.1...6...5...9.3.4.8.7.......6,078.8 08,03.2,..........52.4.89..917.234...76.39...4.....3...94.57...749.821..15.6.48..........,060.2 09,03.4,.6.....4.7..3.8..9...2.7....29...13...........43...6.....8.2...8..6.9..5.1.....7.,122.1 10,03.6,5.....1...3..6...2...8...7...19...8..4...12..7...3........5.3....96......8.....9.,078.8 11,03.8,8...6...1.3...2......5...6...2...9..9...4...7.6...5......2...3...3...4..7...1...8,083.6 12,04.0,...1.7...5....394.......8.......4...8..57.....63....1...241..8...........169....2,100.2 13,04.2,...2.....8.9.........7.4.....6.1.4.5.....7...1.5...7.3.3.6...9.7.8.......2.5.3.1.,098.7 14,04.4,3...1...4.....2.1....7.......6..1.5.5...3...8.2.8..9.......7....9.2...6.1...6...3,093.5 15,04.5,53.......27..83......59......16...5..24...79..5...71......78......36..1........48,115.9 16,04.6,.3.....9.7..1.2..5...3.7....91...64...........67...31....9.8...4..6.5..8.......2.,098.4 17,04.7,..72..4.35......8...9..8..6.5.6..8....3......7..1.2..91...4.6.72....1....749...1.,101.8 18,05.0,...4..87......3..2....685.4........7.25.4.9.8.8.......7...8...3.94.16....3.9...4.,072.3 19,05.2,92...7....14.896....8..2.3...6.7.824..1..3.6..9...........1634..4.7...96........7,090.9 20,05.4,6.214..7.8.......4.4..8..1....85....1..2.4......96.....8..2..6.7.......92.673..4.,078.7 21,05.6,4.......1.3.9...8...5...9...7.4.6.3.....1.....5.2.8.6...4.......8.6.5.7.6.......2,076.2 22,05.7,.9.81.........3.5...4...81....7.9...3.8...5...4............63..9....8.7.71.43....,088.2 23,05.8,..53..4....3..2.69.7..9..2..8.......3..1.7..4.......3..9..1..5.75.6..3....2..96..,086.7 24,05.9,.91...46..4.126.5...64.71..9.......25.3.6.9.4..........8..3..9.6...4...8...5.2...,072.5 25,06.2,..49......5.8.347..9......3.3..9..62...2.5...16..8..4.4......1..197.8.3......15..,074.7 26,06.5,.......4.89.2..5...2..35..9..1.7.6...4...6..7..8.1.3...1..54..325.9..4.........7.,119.7 27,06.6,.4.....3.5..1.8..2...9.7....39...75...........74...31....2.4...6..5....4.1.....6.,115.1 28,06.7,.4.....5.7..6.4..9...1.2....19...8............53...24......1...6..8.9..2.3.....7.,126.0 29,06.8,.8..2.........7..6...1...3..3..1.2..7..2.3..9..4.8..7..6...5...9..8..4......4..2.,129.0 30,06.9,6.......3.4.7.6.1...7.......8.1...2.....4.....2.5.7.9...5...7...1.2...4.3.......6,135.1 31,07.0,.4..8..5...9...71....27.4....1..25...3..5..4...46..9....7.63....25...6...8..2..3.,071.7 32,07.1,.5..2..8.6..5....4..78..3.....9.453.3.......1.951.3.....4..92..9....5..3.2..1..9.,122.0 33,07.2,6.......3.4.7...1...7.......8.1.9.2.....4.....2.5...9...5...7...1.2.3.4.3.......6,253.8 34,07.3,3.......8.5...2.7...9...4.....3.4.1.....9.....7.8.6.2...2...1...9.6.8.5.4.......7,296.4 35,07.4,7.......4.9.5.1.8...8...3...5.8.3.6.....4.....4.7.2.9...1...7.....6.8...3.......2,158.6 36,07.5,.3.....6.2..6.4..7...5.8....8....93...........49...18....7.....6..3.2..5.1.....2.,208.6 37,07.6,.8.....5.4..1.5..8...9.2....61...79...........32...48....3.7...5..8.4..6.4.....3.,162.6 38,07.7,..48....27...9.6...6.....1...9.....62..7...4..8...3...3...2.7....6.....9.1...4...,164.7 39,07.8,69.3.7.5.87..6..3..........7..1.4..3.3..8.......5....1.........31..5..4845.6.1.79,165.8 40,07.9,9....2.....21..7...6..5..4.8......9...4.7.2...3......8.5..6..7...1..78.....3....6,319.1 41,08.0,.2.7.36....5.....31......8.9.....8.7.6..5..3...1.....2.9...6..84...7......39.8.5.,126.9 42,08.2,7.......9.8.3.2.5...6...2...3.9.1.8.....6.....5.2.4.6...2...3...9.5...4.5.......1,219.4 43,08.3,.9.2.........5.4..1......8..7...2.6.6...3.5.....8....73...1..4...7...3...8.9....2,388.0 44,08.4,3...4..7....9..8....2..3..9....2..4.1.....5....6..8....8..1...37..5...1...3...6..,479.9 45,08.5,9....7..3...8..1....6..2....2..1..4.3..4..5....8..6....5..2...84..5...9...7......,408.0 46,08.6,4..2..3....7..8..4.8..6..5.2.....5....1.....7.6.....9.3..7.......8..2..3.5..9..1.,477.7 47,08.8,53.8......89.....1....2..4.......2....3..8..9....6..7.49.3.......8..4....1..7...6,396.3 48,08.9,3.1.8...2......5...4.7....6....5.1..7..6.3..8..8.2....9....1.4...6........3.7.2.5,405.0 49,09.0,.6.1.........4.5..8......3..8.....7.3...2.9.....5....17...9..4...1...8...5.7....6,582.3 50,09.1,1.......5.6.8.3.2...2...4...2.5.6.7.....3.....8.1.2.....8...1...7.6...5.4.......9,599.4 51,09.2,.....1..2.3..2..4.5..6.......6.....7.7..1..3.8.....5..7....5.......3..2...98..6..,772.6 52,09.3,..1..2..3.2..4..1.5..6..2.......7....8..1..2.4..5..6....5..9..8.7.....4.8.....9..,582.4 53,09.4,..1..2....2..3....4..1..5....6.....1.3.....7.8.....6....2..9..4.7..8..3.6..5..8..,701.9 54,09.5,..1..2....3..4..5.6..7..8....5.....9.6.....4.7.....3....9..3..1.4..5.......8..7..,575.3 55,09.6,..1...2...3..4..5.6.......7...1.5....4.....8....9.4...7.......6.5..3..4...2...1..,614.7 56,09.7,1.......2.2..3..4...5...6.....3.7....4..1..3....8.5.....8...5...3..2..9.6.......1,773.2 57,09.8,6....19...8..3......17....2..2.....7.5.....1.4.....3..3....96......4..8...82....5,570.5 58,09.9,1.....9......4..6..5.8....2.8.7....96...3..1......92...4.........2..57..3...6...8,615.0 59,10.0,..1..2....3..4..5.5..6..7....7.....6.1.....8.9.....2....2..1..4.8..3..1....9..5..,605.4 60,10.1,..1..2....3..4..5.5..6..7....7.....6.4.....8.9.....2....2..1..3.8..3..1....7..5..,692.8 61,10.7,1...5......6..9....8.2....4.4..3...8..7....6.9.....1...3.8....2.....4.5.....1.7..,566.6 62,10.8,..34...8......92......6...1..7.1.....6...2...5..8...4..1....9..8......3...45....7, 63,10.9,3....5..2.4..1..3...9...8..5...9.....2.6.8.4...42....5..6..17...1..3..2.4..5....1, 64,11.0,6....2.5952..4..1...35..2..3..1945...1.658.3...5273..1..4..51...3..2..4575.4....8, 65,11.1,..3.....94......2..8.6..1..2....4....9.8....7..5.3.......9..8.......5.3..7..1...6, 66,11.2,.....1.2.3...4.5.....6....7..2.....1.8..9..3.4.....8..5....2....9..3.4....67.....,667.7 67,11.4,3.......4.8.2...7...6...5...1.9.8.......6.........7.2...5...6...9...1.8.4.......3,747.0

Eioru

by **Pat** » Mon Mar 12, 2007 4:24 pm

Ruud wrote:
Benchmark Sudoku List

46 hidden singles, 11 naked singles

[ 24 clues ]
Code: Select all
.82.5....7....9.6.....4......93.6..72.......36..2.58......7.....1.4....8....3.41.

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

Sudoku Explainer --

2.3

by **Pat** » Mon Mar 12, 2007 4:42 pm

Ruud wrote:
Benchmark Sudoku List

2 naked quads

[ 21 clues ]
Code: Select all
..8.9.7.6.316.....2.............5.....9.1.3.....4.............4.....782.7.6.3.1..

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

Sudoku Explainer --

5.0

by **Eioru** » Tue Mar 13, 2007 4:45 pm

v1.0.1

1. Add the 1.0, 1.2, 1.5 puzzles and their score.
2. Add the No. to every levels. From 1(1.0) to 81(11.4).
3. Advance the 1.7, 2.0, 2.3, 2.6, 3.2, 4.0, 4.4, 4.6, 5.0, 7.0, 7.1, 7.4, 7.8, 8.2, 8.5, 8.9 puzzles.
4. Correct the 3.4 puzzle's rating.

by **Pat** » Wed Mar 14, 2007 11:44 am

Duncan (2005.May.16) wrote:
[ 25 clues ]
Code: Select all
.2.8......83.5..91...7...2.......5.6.1..4..8.7.5.......5...9...86..1.24......8.6.

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

Sudoku Explainer --

3.6

by **Pat** » Wed Mar 14, 2007 12:04 pm

bergoffen (2006.Nov.3) wrote:
[ 26 clues ]
Code: Select all
....7.86.7....23...68.4.....37.....4..1...6..5.....72.....3.45...34....1.46.1....

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

Sudoku Explainer --

3.0

by **Eioru** » Thu Mar 15, 2007 2:38 pm

v1.0.2

1. Add the 10.4, 10.8, 11.1 puzzles and their score.
2. Advance the 2.3, 3.0, 3.6, 4.5, 5.0, 6.8, 7.6 puzzles.

by **Pat** » Tue Mar 20, 2007 1:57 pm

Ocean (2006.May.9) wrote:
[ 20 clues ]
Code: Select all
..........1.....2...34.56....4.5.3.....2.7.....6.8.4....56.31...7.....9..........

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

Sudoku Explainer --

3.8

by **Pat** » Tue Mar 20, 2007 2:17 pm

tarek (2006.May.19) wrote:
[ 20 clues ]
Code: Select all
3..4.5..7...........2...6..5...1...9...6.8...9...7...4..3...2...........4..9.7..5

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

Sudoku Explainer --

4.0

by **Pat** » Tue Mar 20, 2007 2:24 pm

tarek (2006.May.19) wrote:
[ 24 clues ]
Code: Select all
8.......1...934.....6...3...5..1..8..4.6.2.1..1..7..3...9...2.....248...5.......7

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

Sudoku Explainer --

3.6

by **Eioru** » Tue Mar 20, 2007 2:57 pm

v1.0.3
1. Advance the 1.2, 2.5, 2.6, 2.8, 3.6, 3.8, 4.0, 4.4, 5.8, 6.7, 7.0 puzzles.

by **Pat** » Sun Apr 01, 2007 2:20 pm

mabel (2005.Jun.17) wrote:
Here's three more that have unique solutions,
I enjoyed solving on paper, but cannot be verified by Pappcom:

[ puzzle 3 ]

[ 24 clues ]
Code: Select all
31..9...5......3..4..7...8...62....1..2...7..7....48...9...3..8..4......5...8..69

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

Sudoku Explainer --

7.2

Eioru, i don't really know how to score the above puzze --

Eioru wrote:
7.6 Bidirectional Cycle

-- but Sudoku Explainer rates it as 7.2
while listing "Bidirectional Cycle" as the toughest method used --

~ Pat

by RW » Sun Apr 01, 2007 3:29 pm

The difficulty ratings of forcing chains depend on the number of cells involved. You cannot get the total score by writing the technique summary into an excel sheet. You need to check all forcing chains individually.

RW

by **Pat** » Sun Apr 01, 2007 3:51 pm

2 x Forcing X-Chain -- 7 cells each
1 x Bidirectional Y-Cycle -- 6 cells
8 x Forcing Chain -- 4,5,6,4,5,5,5,6 cells
2 x Bidirectional Cycle -- 6 cells each

i don't suppose it will break the record for 7.2,
just curious how to score it (and similarly-rated puzzles posted by Eioru).

Nicolas Juillerat [ Sudoku Explainer ] wrote:
6.5 - 7.5: Bidirectioal X-Cycles and Y-Cycles
6.6 - 7.6: Forcing X-Chains
7.0 - 8.0: Forcing Chains, Bidirectional Cycles

The New Sudoku Players' Forum

Best Sample of Puzzles from 1.0 to Infinite Rating of SE

Best Sample of Puzzles from 1.0 to Infinite Rating of SE

re: Best Puzzles (ratings of "Sudoku Explainer)

2.3

5.0

3.6

3.0

3.8

4.0

3.6

7.2

re: 7.2