Analysis of xx-ph-00001036-L84-base.sdk
Contents
Original Sudoku
level: hard
position: 1......8...7.....6.....35....4.9....3....5.2..6.7......9..4...7.....2.5.8..5..1.. initial
Autosolve
position: 1......8...7.....6.....35....4.9....3....5.2..6.7......9..4...7.....2.5.8..5..1.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.834703
The following important HDP chains were detected:
* DIS # G7: 3,6 # A2: 2,5 => CTR => A2: 4,9 * DIS # G7: 3,6 + A2: 4,9 # A6: 2,5 => CTR => A6: 9 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 # A4: 7 => CTR => A4: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 # C1: 2,5 => CTR => C1: 3,9 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 # C6: 1,8 => CTR => C6: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 # C8: 3,6 => CTR => C8: 1 * PRF # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 + C8: 1 => SOL * STA G7: 3,6 * CNT 7 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1......8...7.....6.....35....4.9....3....5.2..6.7......9..4...7.....2.5.8..5..1.. | initial |
| 1......8...7.....6.....35....4.9....3....5.2..6.7......9..4...7.....2.5.8..5..1.. | autosolve |
| 123456789457189236689273541214398675378615924965724813592841367731962458846537192 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (3) D4: 2,3 E6: 2,3 H7: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E6: 2.. / D4 = 2 => 3 pairs (_) / E6 = 2 => 2 pairs (_) G7,I9: 2.. / G7 = 2 => 4 pairs (_) / I9 = 2 => 6 pairs (_) D4,E6: 3.. / D4 = 3 => 2 pairs (_) / E6 = 3 => 3 pairs (_) D5,F6: 4.. / D5 = 4 => 6 pairs (_) / F6 = 4 => 3 pairs (_) E1,E2: 5.. / E1 = 5 => 3 pairs (_) / E2 = 5 => 3 pairs (_) I4,I6: 5.. / I4 = 5 => 4 pairs (_) / I6 = 5 => 4 pairs (_) A7,C7: 5.. / A7 = 5 => 5 pairs (_) / C7 = 5 => 4 pairs (_) G1,H3: 7.. / G1 = 7 => 6 pairs (_) / H3 = 7 => 3 pairs (_) E3,H3: 7.. / E3 = 7 => 6 pairs (_) / H3 = 7 => 3 pairs (_) B5,G5: 7.. / B5 = 7 => 5 pairs (_) / G5 = 7 => 5 pairs (_) A4,A8: 7.. / A4 = 7 => 6 pairs (_) / A8 = 7 => 5 pairs (_) F1,F9: 7.. / F1 = 7 => 4 pairs (_) / F9 = 7 => 4 pairs (_) H3,H4: 7.. / H3 = 7 => 3 pairs (_) / H4 = 7 => 6 pairs (_) D8,F9: 9.. / D8 = 9 => 4 pairs (_) / F9 = 9 => 3 pairs (_) * DURATION: 0:00:10.620708 START: 11:12:53.717030 END: 11:13:04.337738 2020-11-24 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.674878 START: 11:13:10.874656 END: 11:13:34.549534 2020-11-24 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00001036-L84-base-pr-002.dot * REASONING * DIS # G7: 3,6 # A2: 2,5 => CTR => A2: 4,9 * DIS # G7: 3,6 + A2: 4,9 # A6: 2,5 => CTR => A6: 9 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 # A4: 7 => CTR => A4: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 # C1: 2,5 => CTR => C1: 3,9 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 # C6: 1,8 => CTR => C6: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 # C8: 3,6 => CTR => C8: 1 * PRF # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 + C8: 1 => SOL * STA G7: 3,6 * CNT 7 HDP CHAINS / 18 HYP OPENED
Header Info
1036;L84;elev;21;11.30;11.30;3.40
Solution
position: 123456789457189236689273541214398675378615924965724813592841367731962458846537192 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 # G7: 3,6 => UNS * INC # G8: 3,6 => UNS * INC # H9: 3,6 => UNS * INC # C7: 3,6 => UNS * INC # D7: 3,6 => UNS * INC # H4: 3,6 => UNS * INC # H4: 1,7 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 3,6 => UNS * INC # G8: 3,6 => UNS * INC # H9: 3,6 => UNS * INC # C7: 3,6 => UNS * INC # D7: 3,6 => UNS * INC # H4: 3,6 => UNS * INC # H4: 1,7 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 3,6 => UNS * INC # G8: 3,6 => UNS * INC # H9: 3,6 => UNS * INC # C7: 3,6 => UNS * INC # D7: 3,6 => UNS * INC # H4: 3,6 => UNS * INC # H4: 1,7 => UNS * DIS # G7: 3,6 # A2: 2,5 => CTR => A2: 4,9 * INC # G7: 3,6 + A2: 4,9 # A4: 2,5 => UNS * DIS # G7: 3,6 + A2: 4,9 # A6: 2,5 => CTR => A6: 9 * INC # G7: 3,6 + A2: 4,9 + A6: 9 # A4: 2,5 => UNS * DIS # G7: 3,6 + A2: 4,9 + A6: 9 # A4: 7 => CTR => A4: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 # C1: 2,5 => CTR => C1: 3,9 * INC # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 # C6: 2,5 => UNS * INC # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 # C6: 2,5 => UNS * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 # C6: 1,8 => CTR => C6: 2,5 * DIS # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 # C8: 3,6 => CTR => C8: 1 * PRF # G7: 3,6 + A2: 4,9 + A6: 9 + A4: 2,5 + C1: 3,9 + C6: 2,5 + C8: 1 => SOL * STA G7: 3,6 * CNT 18 HDP CHAINS / 18 HYP OPENED