Analysis of xx-ph-00059466-12_10-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..76..9......5..6...4..5...3...8.7.5.......2..1..9.5.8.....3.8.2.........4 initial
Autosolve
position: 98.7..6..76..9......5..6...4..5...3...8.7.5.......2..1..9.5.8.....3.8.2.8.......4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:39.060408
The following important HDP chains were detected:
* DIS # F5: 1,9 # H6: 6,7 => CTR => H6: 4,8,9 * DIS # F5: 1,9 + H6: 4,8,9 # D6: 4 => CTR => D6: 6,8 * PRF # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # E9: 1,6 => SOL * STA # F5: 1,9 + H6: 4,8,9 + D6: 6,8 + E9: 1,6 * CNT 3 HDP CHAINS / 49 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..76..9......5..6...4..5...3...8.7.5.......2..1..9.5.8.....3.8.2.........4 | initial |
| 98.7..6..76..9......5..6...4..5...3...8.7.5.......2..1..9.5.8.....3.8.2.8.......4 | autosolve |
| 982743615761895342345126978416589237238471596597632481179254863654318729823967154 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F4: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F5,E6: 3.. / F5 = 3 => 1 pairs (_) / E6 = 3 => 5 pairs (_) I7,G9: 3.. / I7 = 3 => 3 pairs (_) / G9 = 3 => 2 pairs (_) F1,F2: 5.. / F1 = 5 => 3 pairs (_) / F2 = 5 => 1 pairs (_) A6,B6: 5.. / A6 = 5 => 2 pairs (_) / B6 = 5 => 3 pairs (_) I8,H9: 5.. / I8 = 5 => 5 pairs (_) / H9 = 5 => 2 pairs (_) B9,H9: 5.. / B9 = 5 => 5 pairs (_) / H9 = 5 => 2 pairs (_) A6,A8: 5.. / A6 = 5 => 2 pairs (_) / A8 = 5 => 3 pairs (_) F7,F9: 7.. / F7 = 7 => 5 pairs (_) / F9 = 7 => 3 pairs (_) I4,H6: 8.. / I4 = 8 => 2 pairs (_) / H6 = 8 => 1 pairs (_) E4,I4: 8.. / E4 = 8 => 1 pairs (_) / I4 = 8 => 2 pairs (_) D9,F9: 9.. / D9 = 9 => 2 pairs (_) / F9 = 9 => 4 pairs (_) G8,I8: 9.. / G8 = 9 => 3 pairs (_) / I8 = 9 => 4 pairs (_) * DURATION: 0:00:07.661038 START: 08:59:21.909045 END: 08:59:29.570083 2020-12-21 * CP COUNT: (12) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:38.847543 START: 08:59:34.322930 END: 09:00:13.170473 2020-12-21 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00059466-12_10-base-pr-002.dot * REASONING * DIS # F5: 1,9 # H6: 6,7 => CTR => H6: 4,8,9 * DIS # F5: 1,9 + H6: 4,8,9 # D6: 4 => CTR => D6: 6,8 * PRF # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # E9: 1,6 => SOL * STA # F5: 1,9 + H6: 4,8,9 + D6: 6,8 + E9: 1,6 * CNT 3 HDP CHAINS / 49 HYP OPENED
Header Info
59466;12_10;GP;24;11.30;1.20;1.20
Solution
position: 982743615761895342345126978416589237238471596597632481179254863654318729823967154 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 # D5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # B4: 2,7 => UNS * INC # F9: 1,9 => UNS * INC # F9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # B4: 2,7 => UNS * INC # F9: 1,9 => UNS * INC # F9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # B4: 2,7 => UNS * INC # F9: 1,9 => UNS * INC # F9: 7 => UNS * INC # D5: 1,9 # D6: 6,8 => UNS * INC # D5: 1,9 # E6: 6,8 => UNS * INC # D5: 1,9 # I4: 6,8 => UNS * INC # D5: 1,9 # I4: 2,7,9 => UNS * INC # D5: 1,9 # B4: 1,9 => UNS * INC # D5: 1,9 # B4: 2,7 => UNS * INC # D5: 1,9 # F9: 1,9 => UNS * INC # D5: 1,9 # F9: 7 => UNS * INC # D5: 1,9 # B5: 1,9 => UNS * INC # D5: 1,9 # B5: 2,3 => UNS * INC # D5: 1,9 # D9: 1,9 => UNS * INC # D5: 1,9 # D9: 2,6 => UNS * INC # D5: 1,9 # E6: 3,4 => UNS * INC # D5: 1,9 # E6: 6,8 => UNS * INC # D5: 1,9 # F1: 3,4 => UNS * INC # D5: 1,9 # F2: 3,4 => UNS * INC # D5: 1,9 => UNS * INC # F5: 1,9 # I1: 3,5 => UNS * INC # F5: 1,9 # I1: 2 => UNS * INC # F5: 1,9 # I2: 3,5 => UNS * INC # F5: 1,9 # I2: 2,8 => UNS * INC # F5: 1,9 # A8: 5,6 => UNS * INC # F5: 1,9 # A8: 1 => UNS * INC # F5: 1,9 # C4: 6,7 => UNS * INC # F5: 1,9 # C4: 1,2 => UNS * DIS # F5: 1,9 # H6: 6,7 => CTR => H6: 4,8,9 * INC # F5: 1,9 + H6: 4,8,9 # C8: 6,7 => UNS * INC # F5: 1,9 + H6: 4,8,9 # C8: 1,4 => UNS * INC # F5: 1,9 + H6: 4,8,9 # C4: 6,7 => UNS * INC # F5: 1,9 + H6: 4,8,9 # C4: 1,2 => UNS * INC # F5: 1,9 + H6: 4,8,9 # C8: 6,7 => UNS * INC # F5: 1,9 + H6: 4,8,9 # C8: 1,4 => UNS * INC # F5: 1,9 + H6: 4,8,9 # D6: 6,8 => UNS * DIS # F5: 1,9 + H6: 4,8,9 # D6: 4 => CTR => D6: 6,8 * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # I4: 6,8 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # I4: 2,7,9 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # B4: 1,9 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # B4: 2,7 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # B5: 1,9 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # B5: 2,3 => UNS * INC # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # D7: 1,6 => UNS * PRF # F5: 1,9 + H6: 4,8,9 + D6: 6,8 # E9: 1,6 => SOL * STA # F5: 1,9 + H6: 4,8,9 + D6: 6,8 + E9: 1,6 * CNT 48 HDP CHAINS / 49 HYP OPENED