Analysis of xx-ph-00001026-H260-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....7...6.....56...7..6..9..8......4..3......2..1.7.8..5......1..2......3..4 initial
Autosolve
position: 98.7.....7...6.....56...7..6..9..8......4..3......2..1.7.8..5......1..2......3..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:27.625829
The following important HDP chains were detected:
* DIS # E9: 2,9 # E4: 3,5 => CTR => E4: 7 * DIS # E9: 2,9 + E4: 7 # I1: 3,5 => CTR => I1: 2,6 * PRF # E9: 2,9 + E4: 7 + I1: 2,6 # F5: 1,5 => SOL * STA # E9: 2,9 + E4: 7 + I1: 2,6 + F5: 1,5 * CNT 3 HDP CHAINS / 21 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....7...6.....56...7..6..9..8......4..3......2..1.7.8..5......1..2......3..4 | initial |
| 98.7.....7...6.....56...7..6..9..8......4..3......2..1.7.8..5......1..2......3..4 | autosolve |
| 982754316731268459456139782623971845819645237547382961174826593395417628268593174 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (3) E7: 2,9 I8: 7,8 H9: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 1.. / H7 = 1 => 4 pairs (_) / G9 = 1 => 4 pairs (_) I7,G8: 3.. / I7 = 3 => 4 pairs (_) / G8 = 3 => 4 pairs (_) B8,B9: 6.. / B8 = 6 => 5 pairs (_) / B9 = 6 => 5 pairs (_) F8,E9: 7.. / F8 = 7 => 3 pairs (_) / E9 = 7 => 3 pairs (_) I8,H9: 7.. / I8 = 7 => 3 pairs (_) / H9 = 7 => 3 pairs (_) F8,I8: 7.. / F8 = 7 => 3 pairs (_) / I8 = 7 => 3 pairs (_) E9,H9: 7.. / E9 = 7 => 3 pairs (_) / H9 = 7 => 3 pairs (_) F5,E6: 8.. / F5 = 8 => 6 pairs (_) / E6 = 8 => 3 pairs (_) I8,H9: 8.. / I8 = 8 => 3 pairs (_) / H9 = 8 => 3 pairs (_) E3,E6: 8.. / E3 = 8 => 6 pairs (_) / E6 = 8 => 3 pairs (_) * DURATION: 0:00:07.596363 START: 07:02:24.295407 END: 07:02:31.891770 2020-11-24 * CP COUNT: (10) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:27.495537 START: 07:02:37.672953 END: 07:03:05.168490 2020-11-24 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00001026-H260-base-pr-002.dot * REASONING * DIS # E9: 2,9 # E4: 3,5 => CTR => E4: 7 * DIS # E9: 2,9 + E4: 7 # I1: 3,5 => CTR => I1: 2,6 * PRF # E9: 2,9 + E4: 7 + I1: 2,6 # F5: 1,5 => SOL * STA # E9: 2,9 + E4: 7 + I1: 2,6 + F5: 1,5 * CNT 3 HDP CHAINS / 21 HYP OPENED
Header Info
1026;H260;GP;22;11.30;11.30;3.40
Solution
position: 982754316731268459456139782623971845819645237547382961174826593395417628268593174 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 # E9: 2,9 => UNS * INC # E9: 5,7 => UNS * INC # C7: 2,9 => UNS * INC # C7: 1,3,4 => UNS * INC # E3: 2,9 => UNS * INC # E3: 3,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 2,9 => UNS * INC # E9: 5,7 => UNS * INC # C7: 2,9 => UNS * INC # C7: 1,3,4 => UNS * INC # E3: 2,9 => UNS * INC # E3: 3,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 2,9 => UNS * INC # E9: 5,7 => UNS * INC # C7: 2,9 => UNS * INC # C7: 1,3,4 => UNS * INC # E3: 2,9 => UNS * INC # E3: 3,8 => UNS * INC # E9: 2,9 # I1: 3,5 => UNS * INC # E9: 2,9 # I1: 2,6 => UNS * DIS # E9: 2,9 # E4: 3,5 => CTR => E4: 7 * INC # E9: 2,9 + E4: 7 # E6: 3,5 => UNS * INC # E9: 2,9 + E4: 7 # E6: 3,5 => UNS * INC # E9: 2,9 + E4: 7 # E6: 8 => UNS * DIS # E9: 2,9 + E4: 7 # I1: 3,5 => CTR => I1: 2,6 * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 3,5 => UNS * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 8 => UNS * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 3,5 => UNS * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 8 => UNS * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 3,8 => UNS * INC # E9: 2,9 + E4: 7 + I1: 2,6 # E6: 5 => UNS * PRF # E9: 2,9 + E4: 7 + I1: 2,6 # F5: 1,5 => SOL * STA # E9: 2,9 + E4: 7 + I1: 2,6 + F5: 1,5 * CNT 20 HDP CHAINS / 21 HYP OPENED