Analysis of xx-ph-00001616-635-base.sdk
Contents
Original Sudoku
level: hard
position: 1..4....9..7.8.....6...3...2.....54.....1...2...2..9....8.6..9..3...78..9....1..5 initial
Autosolve
position: 1..4....9..7.8.....6...3...2.....54.....1...2...2..9....8.6..9..3...78..9..8.1..5 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:33.312480
The following important HDP chains were detected:
* DIS # E8: 5,9 # B9: 2,4 => CTR => B9: 7 * DIS # E8: 5,9 + B9: 7 # G9: 2,4 => CTR => G9: 3,6 * DIS # E8: 5,9 + B9: 7 + G9: 3,6 # C9: 6 => CTR => C9: 2,4 * PRF # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 # A2: 4,5 => SOL * STA # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 + A2: 4,5 * CNT 4 HDP CHAINS / 47 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..4....9..7.8.....6...3...2.....54.....1...2...2..9....8.6..9..3...78..9....1..5 | initial |
| 1..4....9..7.8.....6...3...2.....54.....1...2...2..9....8.6..9..3...78..9..8.1..5 | autosolve |
| 123456789457189236869723154291678543385914672746235918518362497634597821972841365 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) D7: 3,5 D8: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 3 pairs (_) / D3 = 1 => 3 pairs (_) B7,C8: 1.. / B7 = 1 => 2 pairs (_) / C8 = 1 => 4 pairs (_) C1,A2: 3.. / C1 = 3 => 3 pairs (_) / A2 = 3 => 3 pairs (_) D7,E9: 3.. / D7 = 3 => 2 pairs (_) / E9 = 3 => 6 pairs (_) B1,A3: 8.. / B1 = 8 => 3 pairs (_) / A3 = 8 => 3 pairs (_) B1,H1: 8.. / B1 = 8 => 3 pairs (_) / H1 = 8 => 3 pairs (_) B2,C3: 9.. / B2 = 9 => 3 pairs (_) / C3 = 9 => 2 pairs (_) D8,E8: 9.. / D8 = 9 => 1 pairs (_) / E8 = 9 => 4 pairs (_) * DURATION: 0:00:04.880066 START: 00:54:48.874173 END: 00:54:53.754239 2020-11-30 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:33.067601 START: 00:54:59.628453 END: 00:55:32.696054 2020-11-30 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00001616-635-base-pr-002.dot * REASONING * DIS # E8: 5,9 # B9: 2,4 => CTR => B9: 7 * DIS # E8: 5,9 + B9: 7 # G9: 2,4 => CTR => G9: 3,6 * DIS # E8: 5,9 + B9: 7 + G9: 3,6 # C9: 6 => CTR => C9: 2,4 * PRF # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 # A2: 4,5 => SOL * STA # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 + A2: 4,5 * CNT 4 HDP CHAINS / 47 HYP OPENED
Header Info
1616;635;elev;23;11.30;1.20;1.20
Solution
position: 123456789457189236869723154291678543385914672746235918518362497634597821972841365 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: 3,5 => UNS * INC # D5: 6,7,9 => UNS * INC # E8: 5,9 => UNS * INC # E8: 2,4 => UNS * INC # D2: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D5: 5,9 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 3,5 => UNS * INC # D5: 6,7,9 => UNS * INC # E8: 5,9 => UNS * INC # E8: 2,4 => UNS * INC # D2: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D5: 5,9 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 3,5 => UNS * INC # D5: 6,7,9 => UNS * INC # E8: 5,9 => UNS * INC # E8: 2,4 => UNS * INC # D2: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D5: 5,9 => UNS * INC # D5: 3,5 # G2: 1,6 => UNS * INC # D5: 3,5 # H2: 1,6 => UNS * INC # D5: 3,5 # I2: 1,6 => UNS * INC # D5: 3,5 # G3: 1,7 => UNS * INC # D5: 3,5 # H3: 1,7 => UNS * INC # D5: 3,5 # I3: 1,7 => UNS * INC # D5: 3,5 # I4: 6,7 => UNS * INC # D5: 3,5 # I4: 1,3,8 => UNS * INC # D5: 3,5 # E6: 3,5 => UNS * INC # D5: 3,5 # E6: 4,7 => UNS * INC # D5: 3,5 # A5: 3,5 => UNS * INC # D5: 3,5 # C5: 3,5 => UNS * INC # D5: 3,5 => UNS * INC # D5: 6,7,9 # E8: 5,9 => UNS * INC # D5: 6,7,9 # E8: 2,4 => UNS * INC # D5: 6,7,9 # D2: 5,9 => UNS * INC # D5: 6,7,9 # D3: 5,9 => UNS * INC # D5: 6,7,9 => UNS * INC # E8: 5,9 # C8: 4,6 => UNS * INC # E8: 5,9 # C9: 4,6 => UNS * INC # E8: 5,9 # I8: 4,6 => UNS * INC # E8: 5,9 # I8: 1 => UNS * INC # E8: 5,9 # A5: 4,6 => UNS * INC # E8: 5,9 # A6: 4,6 => UNS * INC # E8: 5,9 # B7: 2,4 => UNS * INC # E8: 5,9 # G7: 2,4 => UNS * INC # E8: 5,9 # D2: 5,9 => UNS * INC # E8: 5,9 # D3: 5,9 => UNS * INC # E8: 5,9 # D5: 5,9 => UNS * INC # E8: 5,9 # E3: 5,9 => UNS * INC # E8: 5,9 # E3: 2,7 => UNS * DIS # E8: 5,9 # B9: 2,4 => CTR => B9: 7 * INC # E8: 5,9 + B9: 7 # C9: 2,4 => UNS * DIS # E8: 5,9 + B9: 7 # G9: 2,4 => CTR => G9: 3,6 * INC # E8: 5,9 + B9: 7 + G9: 3,6 # C9: 2,4 => UNS * DIS # E8: 5,9 + B9: 7 + G9: 3,6 # C9: 6 => CTR => C9: 2,4 * INC # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 # B7: 4,5 => UNS * INC # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 # B7: 1,2 => UNS * PRF # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 # A2: 4,5 => SOL * STA # E8: 5,9 + B9: 7 + G9: 3,6 + C9: 2,4 + A2: 4,5 * CNT 46 HDP CHAINS / 47 HYP OPENED