Analysis of xx-ph-02345674-2019_05_01-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...9.5....4..3...5..6..7...6.........3..2.1..7.9..8......1...2.....7..4 initial
Autosolve
position: 98.7.....63..9.5....4..3...5..6..7...6.........3..2.1..7.9..8......1..72.....7..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:32.475513
The following important HDP chains were detected:
* DIS # B4: 4,9 # H4: 4,9 => CTR => H4: 2,3,8 * DIS # B4: 4,9 + H4: 2,3,8 # C9: 1,2 => CTR => C9: 6,8,9 * PRF # B4: 1,2 # B8: 5 => SOL * STA # B4: 1,2 + B8: 5 * CNT 3 HDP CHAINS / 55 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...9.5....4..3...5..6..7...6.........3..2.1..7.9..8......1...2.....7..4 | initial |
| 98.7.....63..9.5....4..3...5..6..7...6.........3..2.1..7.9..8......1..72.....7..4 | autosolve |
| 985726431632194587714853296529631748167489325843572619271945863456318972398267154 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B6: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I7,G9: 1.. / I7 = 1 => 3 pairs (_) / G9 = 1 => 1 pairs (_) C1,B3: 5.. / C1 = 5 => 2 pairs (_) / B3 = 5 => 5 pairs (_) G6,I6: 6.. / G6 = 6 => 2 pairs (_) / I6 = 6 => 5 pairs (_) C2,A3: 7.. / C2 = 7 => 4 pairs (_) / A3 = 7 => 3 pairs (_) I2,I3: 7.. / I2 = 7 => 3 pairs (_) / I3 = 7 => 4 pairs (_) E5,E6: 7.. / E5 = 7 => 4 pairs (_) / E6 = 7 => 2 pairs (_) C2,I2: 7.. / C2 = 7 => 4 pairs (_) / I2 = 7 => 3 pairs (_) A3,I3: 7.. / A3 = 7 => 3 pairs (_) / I3 = 7 => 4 pairs (_) A6,E6: 7.. / A6 = 7 => 4 pairs (_) / E6 = 7 => 2 pairs (_) C2,C5: 7.. / C2 = 7 => 4 pairs (_) / C5 = 7 => 3 pairs (_) F4,F5: 9.. / F4 = 9 => 2 pairs (_) / F5 = 9 => 1 pairs (_) * DURATION: 0:00:07.243125 START: 14:00:34.917184 END: 14:00:42.160309 2020-09-23 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:32.317100 START: 14:00:46.758658 END: 14:01:19.075758 2020-09-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02345674-2019_05_01-base-pr-002.dot * REASONING * DIS # B4: 4,9 # H4: 4,9 => CTR => H4: 2,3,8 * DIS # B4: 4,9 + H4: 2,3,8 # C9: 1,2 => CTR => C9: 6,8,9 * PRF # B4: 1,2 # B8: 5 => SOL * STA # B4: 1,2 + B8: 5 * CNT 3 HDP CHAINS / 55 HYP OPENED
Header Info
2345674;2019_05_01;PAQ;22;11.60;1.20;1.20
Solution
position: 985726431632194587714853296529631748167489325843572619271945863456318972398267154 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 # B4: 4,9 => UNS * INC # B4: 1,2 => UNS * INC # G6: 4,9 => UNS * INC # G6: 6 => UNS * INC # B8: 4,9 => UNS * INC # B8: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 4,9 => UNS * INC # B4: 1,2 => UNS * INC # G6: 4,9 => UNS * INC # G6: 6 => UNS * INC # B8: 4,9 => UNS * INC # B8: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 4,9 => UNS * INC # B4: 1,2 => UNS * INC # G6: 4,9 => UNS * INC # G6: 6 => UNS * INC # B8: 4,9 => UNS * INC # B8: 5 => UNS * INC # B4: 4,9 # C2: 1,2 => UNS * INC # B4: 4,9 # A3: 1,2 => UNS * INC # B4: 4,9 # D3: 1,2 => UNS * INC # B4: 4,9 # G3: 1,2 => UNS * INC # B4: 4,9 # F4: 4,9 => UNS * DIS # B4: 4,9 # H4: 4,9 => CTR => H4: 2,3,8 * INC # B4: 4,9 + H4: 2,3,8 # F4: 4,9 => UNS * INC # B4: 4,9 + H4: 2,3,8 # F4: 1,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 # F4: 4,9 => UNS * INC # B4: 4,9 + H4: 2,3,8 # F4: 1,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 # A5: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 # C5: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 # E6: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 # E6: 4,5 => UNS * INC # B4: 4,9 + H4: 2,3,8 # G6: 4,9 => UNS * INC # B4: 4,9 + H4: 2,3,8 # G6: 6 => UNS * INC # B4: 4,9 + H4: 2,3,8 # A7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 # C7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 # A9: 1,2 => UNS * DIS # B4: 4,9 + H4: 2,3,8 # C9: 1,2 => CTR => C9: 6,8,9 * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # C7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A9: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # C2: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A3: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # D3: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # G3: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # F4: 4,9 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # F4: 1,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A5: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # C5: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # E6: 7,8 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # E6: 4,5 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # G6: 4,9 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # G6: 6 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # C7: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 # A9: 1,2 => UNS * INC # B4: 4,9 + H4: 2,3,8 + C9: 6,8,9 => UNS * INC # B4: 1,2 # C4: 1,2 => UNS * INC # B4: 1,2 # A5: 1,2 => UNS * INC # B4: 1,2 # C5: 1,2 => UNS * INC # B4: 1,2 # B3: 1,2 => UNS * INC # B4: 1,2 # B9: 1,2 => UNS * INC # B4: 1,2 # G6: 4,9 => UNS * INC # B4: 1,2 # G6: 6 => UNS * INC # B4: 1,2 # B8: 4,9 => UNS * PRF # B4: 1,2 # B8: 5 => SOL * STA # B4: 1,2 + B8: 5 * CNT 54 HDP CHAINS / 55 HYP OPENED