Analysis of xx-ph-00011216-kz0-base.sdk
Contents
Original Sudoku
level: hard
position: 9..8..7...8..6..5...4..3..88.......9.2..3..6...7...4...1.3.......6.2...1.....5.2. initial
Autosolve
position: 9..8..7...8..6..5...4..3..88.......9.2..3..6...7...4...1.3.......6.2...1.....5.2. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.880763
The following important HDP chains were detected:
* PRF # G3: 1,9 # C1: 3,5 => SOL * STA # G3: 1,9 + C1: 3,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 9..8..7...8..6..5...4..3..88.......9.2..3..6...7...4...1.3.......6.2...1.....5.2. | initial |
| 9..8..7...8..6..5...4..3..88.......9.2..3..6...7...4...1.3.......6.2...1.....5.2. | autosolve |
| 935812746781964352264573198843651279129437865657289413512346987496728531378195624 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H3: 1,9 I5: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D9,E9: 1.. / D9 = 1 => 2 pairs (_) / E9 = 1 => 3 pairs (_) G4,I6: 2.. / G4 = 2 => 3 pairs (_) / I6 = 2 => 3 pairs (_) A7,C7: 2.. / A7 = 2 => 2 pairs (_) / C7 = 2 => 3 pairs (_) B4,A5: 4.. / B4 = 4 => 3 pairs (_) / A5 = 4 => 3 pairs (_) I1,G3: 6.. / I1 = 6 => 3 pairs (_) / G3 = 6 => 3 pairs (_) F7,D9: 6.. / F7 = 6 => 2 pairs (_) / D9 = 6 => 3 pairs (_) B1,I1: 6.. / B1 = 6 => 3 pairs (_) / I1 = 6 => 3 pairs (_) A3,A6: 6.. / A3 = 6 => 4 pairs (_) / A6 = 6 => 2 pairs (_) H4,I5: 7.. / H4 = 7 => 5 pairs (_) / I5 = 7 => 2 pairs (_) G5,H6: 8.. / G5 = 8 => 3 pairs (_) / H6 = 8 => 3 pairs (_) C7,C9: 8.. / C7 = 8 => 3 pairs (_) / C9 = 8 => 2 pairs (_) F5,G5: 8.. / F5 = 8 => 3 pairs (_) / G5 = 8 => 3 pairs (_) C5,B6: 9.. / C5 = 9 => 3 pairs (_) / B6 = 9 => 5 pairs (_) * DURATION: 0:00:07.419597 START: 14:36:02.234148 END: 14:36:09.653745 2020-12-01 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.734342 START: 14:36:15.420373 END: 14:36:28.154715 2020-12-01 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00011216-kz0-base-pr-002.dot * REASONING * PRF # G3: 1,9 # C1: 3,5 => SOL * STA # G3: 1,9 + C1: 3,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
Header Info
11216;kz0;GP;23;11.30;11.30;7.60
Solution
position: 935812746781964352264573198843651279129437865657289413512346987496728531378195624 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # G2: 1,9 => UNS * INC # G3: 1,9 => UNS * INC # D3: 1,9 => UNS * INC # E3: 1,9 => UNS * INC # D5: 5,7 => UNS * INC # D5: 1,4,9 => UNS * INC # I7: 5,7 => UNS * INC # I7: 4,6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 1,9 => UNS * INC # G3: 1,9 => UNS * INC # D3: 1,9 => UNS * INC # E3: 1,9 => UNS * INC # D5: 5,7 => UNS * INC # D5: 1,4,9 => UNS * INC # I7: 5,7 => UNS * INC # I7: 4,6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 1,9 => UNS * INC # G3: 1,9 => UNS * INC # D3: 1,9 => UNS * INC # E3: 1,9 => UNS * INC # D5: 5,7 => UNS * INC # D5: 1,4,9 => UNS * INC # I7: 5,7 => UNS * INC # I7: 4,6 => UNS * INC # G2: 1,9 # I1: 3,4 => UNS * INC # G2: 1,9 # I2: 3,4 => UNS * INC # G2: 1,9 # H8: 3,4 => UNS * INC # G2: 1,9 # H8: 7,8,9 => UNS * INC # G2: 1,9 # D2: 1,9 => UNS * INC # G2: 1,9 # F2: 1,9 => UNS * INC # G2: 1,9 # I1: 2,6 => UNS * INC # G2: 1,9 # I1: 3,4 => UNS * INC # G2: 1,9 # A3: 2,6 => UNS * INC # G2: 1,9 # A3: 1,5,7 => UNS * INC # G2: 1,9 # D3: 1,9 => UNS * INC # G2: 1,9 # E3: 1,9 => UNS * INC # G2: 1,9 # D5: 5,7 => UNS * INC # G2: 1,9 # D5: 1,4,9 => UNS * INC # G2: 1,9 # I7: 5,7 => UNS * INC # G2: 1,9 # I7: 4,6 => UNS * INC # G2: 1,9 => UNS * PRF # G3: 1,9 # C1: 3,5 => SOL * STA # G3: 1,9 + C1: 3,5 * CNT 26 HDP CHAINS / 27 HYP OPENED