Analysis of xx-ph-02317608-2019_03_16-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..7..6..5....4.8....5..9..7....3....5.........21....6..5.5.1...67.....91.. initial
Autosolve
position: 9857..6..7..69.5....4.8..7.5..9..7....3....5.........21....6..5.5.1...67.....91.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:01:08.755958
The following important HDP chains were detected:
* DIS # H2: 1,2 # H9: 3,4 => CTR => H9: 2,8 * DIS # H2: 1,2 + H9: 2,8 # E9: 3,4 => CTR => E9: 2,5,7 * PRF # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # H1: 1,2 => SOL * STA # H2: 1,2 + H9: 2,8 + E9: 2,5,7 + H1: 1,2 * CNT 3 HDP CHAINS / 110 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..7..6..5....4.8....5..9..7....3....5.........21....6..5.5.1...67.....91.. | initial |
| 9857..6..7..69.5....4.8..7.5..9..7....3....5.........21....6..5.5.1...67.....91.. | autosolve |
| 985713624732694518614285379541928736293467851867351492179836245358142967426579183 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C2: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,F3: 5.. / D3 = 5 => 1 pairs (_) / F3 = 5 => 2 pairs (_) D9,E9: 5.. / D9 = 5 => 2 pairs (_) / E9 = 5 => 1 pairs (_) E6,E9: 5.. / E6 = 5 => 2 pairs (_) / E9 = 5 => 1 pairs (_) F3,F6: 5.. / F3 = 5 => 2 pairs (_) / F6 = 5 => 1 pairs (_) A3,B3: 6.. / A3 = 6 => 2 pairs (_) / B3 = 6 => 2 pairs (_) I4,I5: 6.. / I4 = 6 => 1 pairs (_) / I5 = 6 => 2 pairs (_) F5,F6: 7.. / F5 = 7 => 1 pairs (_) / F6 = 7 => 2 pairs (_) E7,E9: 7.. / E7 = 7 => 1 pairs (_) / E9 = 7 => 2 pairs (_) B5,F5: 7.. / B5 = 7 => 2 pairs (_) / F5 = 7 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 2 pairs (_) G3,I3: 9.. / G3 = 9 => 3 pairs (_) / I3 = 9 => 2 pairs (_) C8,G8: 9.. / C8 = 9 => 1 pairs (_) / G8 = 9 => 4 pairs (_) H6,H7: 9.. / H6 = 9 => 3 pairs (_) / H7 = 9 => 1 pairs (_) I3,I5: 9.. / I3 = 9 => 2 pairs (_) / I5 = 9 => 3 pairs (_) * DURATION: 0:00:09.737365 START: 20:16:13.022706 END: 20:16:22.760071 2020-11-08 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:01:08.296315 START: 20:16:27.770024 END: 20:17:36.066339 2020-11-08 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02317608-2019_03_16-base-pr-002.dot * REASONING * DIS # H2: 1,2 # H9: 3,4 => CTR => H9: 2,8 * DIS # H2: 1,2 + H9: 2,8 # E9: 3,4 => CTR => E9: 2,5,7 * PRF # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # H1: 1,2 => SOL * STA # H2: 1,2 + H9: 2,8 + E9: 2,5,7 + H1: 1,2 * CNT 3 HDP CHAINS / 110 HYP OPENED
Header Info
2317608;2019_03_16;PAQ;24;11.40;1.20;1.20
Solution
position: 985713624732694518614285379541928736293467851867351492179836245358142967426579183 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 # B2: 1,2 => UNS * INC # B3: 1,2 => UNS * INC # F2: 1,2 => UNS * INC # H2: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C4: 6,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 1,2 => UNS * INC # B3: 1,2 => UNS * INC # F2: 1,2 => UNS * INC # H2: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C4: 6,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 1,2 => UNS * INC # B3: 1,2 => UNS * INC # F2: 1,2 => UNS * INC # H2: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C4: 6,8 => UNS * INC # B2: 1,2 # B4: 1,2 => UNS * INC # B2: 1,2 # B5: 1,2 => UNS * INC # B2: 1,2 # C4: 1,2 => UNS * INC # B2: 1,2 # C4: 6,8 => UNS * INC # B2: 1,2 # A9: 3,6 => UNS * INC # B2: 1,2 # A9: 2,4,8 => UNS * INC # B2: 1,2 # B9: 3,6 => UNS * INC # B2: 1,2 # B9: 2,4,7 => UNS * INC # B2: 1,2 # E1: 3,4 => UNS * INC # B2: 1,2 # F1: 3,4 => UNS * INC # B2: 1,2 # H2: 3,4 => UNS * INC # B2: 1,2 # I2: 3,4 => UNS * INC # B2: 1,2 # F4: 3,4 => UNS * INC # B2: 1,2 # F6: 3,4 => UNS * INC # B2: 1,2 # F8: 3,4 => UNS * INC # B2: 1,2 # F3: 2,5 => UNS * INC # B2: 1,2 # F3: 1 => UNS * INC # B2: 1,2 # D9: 2,5 => UNS * INC # B2: 1,2 # D9: 3,4,8 => UNS * INC # B2: 1,2 # G7: 2,9 => UNS * INC # B2: 1,2 # G8: 2,9 => UNS * INC # B2: 1,2 # I5: 1,9 => UNS * INC # B2: 1,2 # I5: 4,6,8 => UNS * INC # B2: 1,2 => UNS * INC # B3: 1,2 # F2: 1,2 => UNS * INC # B3: 1,2 # H2: 1,2 => UNS * INC # B3: 1,2 # C4: 1,2 => UNS * INC # B3: 1,2 # C4: 6,8 => UNS * INC # B3: 1,2 # F3: 1,2 => UNS * INC # B3: 1,2 # F3: 3,5 => UNS * INC # B3: 1,2 # B4: 1,2 => UNS * INC # B3: 1,2 # B5: 1,2 => UNS * INC # B3: 1,2 # A5: 4,8 => UNS * INC # B3: 1,2 # A5: 2 => UNS * INC # B3: 1,2 # D6: 4,8 => UNS * INC # B3: 1,2 # F6: 4,8 => UNS * INC # B3: 1,2 # G6: 4,8 => UNS * INC # B3: 1,2 # H6: 4,8 => UNS * INC # B3: 1,2 # A8: 4,8 => UNS * INC # B3: 1,2 # A9: 4,8 => UNS * INC # B3: 1,2 => UNS * INC # F2: 1,2 # B3: 1,2 => UNS * INC # F2: 1,2 # B3: 6 => UNS * INC # F2: 1,2 # C4: 1,2 => UNS * INC # F2: 1,2 # C4: 6,8 => UNS * INC # F2: 1,2 # B3: 2,6 => UNS * INC # F2: 1,2 # B3: 1 => UNS * INC # F2: 1,2 # A5: 2,6 => UNS * INC # F2: 1,2 # A9: 2,6 => UNS * INC # F2: 1,2 # E1: 1,2 => UNS * INC # F2: 1,2 # F1: 1,2 => UNS * INC # F2: 1,2 # F3: 1,2 => UNS * INC # F2: 1,2 # F4: 1,2 => UNS * INC # F2: 1,2 # F5: 1,2 => UNS * INC # F2: 1,2 # H1: 1,3 => UNS * INC # F2: 1,2 # I3: 1,3 => UNS * INC # F2: 1,2 # E1: 1,3 => UNS * INC # F2: 1,2 # F1: 1,3 => UNS * INC # F2: 1,2 # I4: 1,3 => UNS * INC # F2: 1,2 # I4: 4,6,8 => UNS * INC # F2: 1,2 # H4: 4,8 => UNS * INC # F2: 1,2 # H6: 4,8 => UNS * INC # F2: 1,2 # H7: 4,8 => UNS * INC # F2: 1,2 # H9: 4,8 => UNS * INC # F2: 1,2 # I4: 4,8 => UNS * INC # F2: 1,2 # I5: 4,8 => UNS * INC # F2: 1,2 # I9: 4,8 => UNS * INC # F2: 1,2 => UNS * INC # H2: 1,2 # B3: 1,2 => UNS * INC # H2: 1,2 # B3: 6 => UNS * INC # H2: 1,2 # C4: 1,2 => UNS * INC # H2: 1,2 # C4: 6,8 => UNS * INC # H2: 1,2 # B3: 2,6 => UNS * INC # H2: 1,2 # B3: 1 => UNS * INC # H2: 1,2 # A5: 2,6 => UNS * INC # H2: 1,2 # A9: 2,6 => UNS * INC # H2: 1,2 # H1: 1,2 => UNS * INC # H2: 1,2 # H1: 3,4 => UNS * INC # H2: 1,2 # G7: 3,4 => UNS * INC # H2: 1,2 # H7: 3,4 => UNS * INC # H2: 1,2 # G8: 3,4 => UNS * DIS # H2: 1,2 # H9: 3,4 => CTR => H9: 2,8 * INC # H2: 1,2 + H9: 2,8 # A9: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 # D9: 3,4 => UNS * DIS # H2: 1,2 + H9: 2,8 # E9: 3,4 => CTR => E9: 2,5,7 * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # I1: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # I4: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # G7: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # H7: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # G8: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # A9: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # D9: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # I1: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # I4: 3,4 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # B3: 1,2 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # B3: 6 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # C4: 1,2 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # C4: 6,8 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # B3: 2,6 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # B3: 1 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # A5: 2,6 => UNS * INC # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # A9: 2,6 => UNS * PRF # H2: 1,2 + H9: 2,8 + E9: 2,5,7 # H1: 1,2 => SOL * STA # H2: 1,2 + H9: 2,8 + E9: 2,5,7 + H1: 1,2 * CNT 109 HDP CHAINS / 110 HYP OPENED