Analysis of zz-sudoku-de-705274-base.sdk
Contents
Original Sudoku
level: medium
position: ..2..5..13...7......5...29.5..71...27..5.8..68...24..7.46...1......3...41..9..6.. initial
Autosolve
position: 492365..13..27946567548129356.713..272.5983.68..624..72468571399..136.241..9426.8 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # C6: 1,3 => SOL * DIS # C6: 9 => CTR => C6: 1,3 * CNT 2 HDP CHAINS / 2 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # C6: 1,3 => SOL * STA C6: 1,3 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..2..5..13...7......5...29.5..71...27..5.8..68...24..7.46...1......3...41..9..6.. | initial |
| 492365..13..27946567548129356.713..272.5983.68..624..72468571399..136.241..9426.8 | autosolve |
| 492365781318279465675481293569713842724598316831624957246857139987136524153942678 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (18) B2: 1,8 C2: 1,8 G1: 7,8 H1: 7,8 C4: 4,9 C5: 1,4 B6: 1,3 G4: 8,9 H4: 4,8 H5: 1,4 G6: 5,9 H6: 1,5 B8: 5,8 C8: 7,8 B9: 3,5 C9: 3,7 G8: 5,7 H9: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,C2: 1.. / B2 = 1 => 0 pairs (*) / C2 = 1 => 0 pairs (X) H5,H6: 1.. / H5 = 1 => 0 pairs (*) / H6 = 1 => 0 pairs (X) C5,H5: 1.. / C5 = 1 => 0 pairs (X) / H5 = 1 => 0 pairs (_) B2,B6: 1.. / B2 = 1 => 0 pairs (*) / B6 = 1 => 0 pairs (X) B6,C6: 3.. / B6 = 3 => 0 pairs (*) / C6 = 3 => 0 pairs (X) B9,C9: 3.. / B9 = 3 => 0 pairs (X) / C9 = 3 => 0 pairs (_) B6,B9: 3.. / B6 = 3 => 0 pairs (*) / B9 = 3 => 0 pairs (X) C6,C9: 3.. / C6 = 3 => 0 pairs (X) / C9 = 3 => 0 pairs (_) C4,C5: 4.. / C4 = 4 => 0 pairs (X) / C5 = 4 => 0 pairs (_) H4,H5: 4.. / H4 = 4 => 0 pairs (*) / H5 = 4 => 0 pairs (X) C4,H4: 4.. / C4 = 4 => 0 pairs (X) / H4 = 4 => 0 pairs (_) C5,H5: 4.. / C5 = 4 => 0 pairs (*) / H5 = 4 => 0 pairs (X) G6,H6: 5.. / G6 = 5 => 0 pairs (X) / H6 = 5 => 0 pairs (_) B8,B9: 5.. / B8 = 5 => 0 pairs (X) / B9 = 5 => 0 pairs (_) G8,H9: 5.. / G8 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) B8,G8: 5.. / B8 = 5 => 0 pairs (X) / G8 = 5 => 0 pairs (_) B9,H9: 5.. / B9 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) G6,G8: 5.. / G6 = 5 => 0 pairs (X) / G8 = 5 => 0 pairs (_) H6,H9: 5.. / H6 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) G1,H1: 7.. / G1 = 7 => 0 pairs (*) / H1 = 7 => 0 pairs (X) C8,C9: 7.. / C8 = 7 => 0 pairs (*) / C9 = 7 => 0 pairs (X) G8,H9: 7.. / G8 = 7 => 0 pairs (X) / H9 = 7 => 0 pairs (_) C8,G8: 7.. / C8 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) C9,H9: 7.. / C9 = 7 => 0 pairs (X) / H9 = 7 => 0 pairs (_) G1,G8: 7.. / G1 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) H1,H9: 7.. / H1 = 7 => 0 pairs (X) / H9 = 7 => 0 pairs (_) B2,C2: 8.. / B2 = 8 => 0 pairs (X) / C2 = 8 => 0 pairs (_) G1,H1: 8.. / G1 = 8 => 0 pairs (X) / H1 = 8 => 0 pairs (_) G4,H4: 8.. / G4 = 8 => 0 pairs (*) / H4 = 8 => 0 pairs (X) B8,C8: 8.. / B8 = 8 => 0 pairs (*) / C8 = 8 => 0 pairs (X) B2,B8: 8.. / B2 = 8 => 0 pairs (X) / B8 = 8 => 0 pairs (_) C2,C8: 8.. / C2 = 8 => 0 pairs (*) / C8 = 8 => 0 pairs (X) G1,G4: 8.. / G1 = 8 => 0 pairs (X) / G4 = 8 => 0 pairs (_) H1,H4: 8.. / H1 = 8 => 0 pairs (*) / H4 = 8 => 0 pairs (X) C4,C6: 9.. / C4 = 9 => 0 pairs (*) / C6 = 9 => 0 pairs (X) G4,G6: 9.. / G4 = 9 => 0 pairs (X) / G6 = 9 => 0 pairs (_) C4,G4: 9.. / C4 = 9 => 0 pairs (*) / G4 = 9 => 0 pairs (X) C6,G6: 9.. / C6 = 9 => 0 pairs (X) / G6 = 9 => 0 pairs (_) * DURATION: 0:01:02.291485 START: 08:02:21.292853 END: 08:03:23.584338 2017-05-01 * CP COUNT: (38) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B2,B6,B8,B9,C2,C4,C5,C8,C9,G1,G4,G6,G8,H1,H4,H5,H6,H9) * 492365..13..27946567548129356.713..272.5983.68..624..72468571399..136.241..9426.8 * PAIR B6: 1,3 BLK 4 C6: 1,3,9 # reduction candidate for 1,3 C6: 1,3 => SOLVED * 492365781318279465675481293569713842724598316831624957246857139987136524153942678 C6: 9 => CTR * 492365..13..27946567548129356.713..272.5983.683962451724685713995.136.241..9426.8 * INCONCLUSIVE * SAVE PR GRAPH zz-sudoku-de-705274-base-pr-000.dot * REASONING * PRF # C6: 1,3 => SOL * DIS # C6: 9 => CTR => C6: 1,3 * CNT 2 HDP CHAINS / 2 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B2,B6,B8,B9,C2,C4,C5,C8,C9,G1,G4,G6,G8,H1,H4,H5,H6,H9) * 492365..13..27946567548129356.713..272.5983.68..624..72468571399..136.241..9426.8 * PAIR B6: 1,3 BLK 4 C6: 1,3,9 # reduction candidate for 1,3 C6: 1,3 => SOLVED * 492365781318279465675481293569713842724598316831624957246857139987136524153942678 * DURATION: 0:00:02.112464 START: 08:03:27.328461 END: 08:03:29.440925 2017-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-sudoku-de-705274-base-pr-001.dot * REASONING * PRF # C6: 1,3 => SOL * STA C6: 1,3 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
http://www.sudokus.de/705274.html sehr schwierig -------------------------------------------------- level: medium * PAIR REDUCTION .. * ROUND 1: 492365..13..27946567548129356.713..272.5983.68..624..72468571399..136.241..9426.8 B2: 1,8 C2: 1,8 G1: 7,8 H1: 7,8 C4: 4,9 C5: 1,4 B6: 1,3 C6: 1,3,9 # reduction candidate for 1,3 C6: 1,3 => SOLVED * 492365781318279465675481293569713842724598316831624957246857139987136524153942678 * SOLVED! -------------------------------------------------- -------------------------------------------------- * AUTO .. B3 = 7 # set value B5 = 2 # set value E5 = 9 # set value I7 = 9 # set value A7: 2 # naked single E9 = 4 # set value F2: 9.. # hidden single E7: 5.. # hidden single H7: 3.. # hidden single F2 = 9 # set value A7 = 2 # set value A8: 9 # naked single D7: 8 # naked single F7: 7 # naked single D7 = 8 # set value E7: 5 # naked single E7 = 5 # set value F7 = 7 # set value F9: 2 # naked single H7: 3 # naked single H7 = 3 # set value A8 = 9 # set value F9 = 2 # set value B1: 9.. # hidden single D2: 2.. # hidden single H8: 2.. # hidden single I3: 3.. # hidden single B1 = 9 # set value D2 = 2 # set value I3 = 3 # set value H8 = 2 # set value D1: 3.. # hidden single E3: 8.. # hidden single F4: 3.. # hidden single D1 = 3 # set value D6: 6 # naked single E3 = 8 # set value E1: 6 # naked single F4 = 3 # set value B4: 6 # naked single D6 = 6 # set value D8: 1 # naked single D8 = 1 # set value F8: 6 # naked single D3: 4 # naked single F8 = 6 # set value F3: 1 # naked single A3: 6.. # hidden single E1 = 6 # set value A1: 4 # naked single A3 = 6 # set value D3 = 4 # set value F3 = 1 # set value B4 = 6 # set value H2: 6.. # hidden single A1 = 4 # set value H2 = 6 # set value G2: 4.. # hidden single G2 = 4 # set value G5: 3 # naked single G5 = 3 # set value I2: 5.. # hidden single I2 = 5 # set value I9: 8 # naked single I9 = 8 # set value * UNSOLVED! |:step:| 00 -------------------------------------------------- * DISABLE VALUE:: C6 != 3 B6: 3.. # hidden single C9: 3.. # hidden single |:step:| 01 --------------------------------------------------
Solution
position: 492365781318279465675481293569713842724598316831624957246857139987136524153942678 solved
See section Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* PRF # C6: 1,3 => SOL * DIS # C6: 9 => CTR => C6: 1,3 * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # C6: 1,3 => SOL * STA C6: 1,3 * CNT 1 HDP CHAINS / 1 HYP OPENED