Analysis of xx-ph-00001484-376-base.sdk
Contents
Original Sudoku
level: deep
position: ...4............36..8.2.5...6......75....18..8.9..2.....2.9.1...4.3.....9....5... initial
Autosolve
position: ...4............36..8.2.5...6......75....18..8.9..2.....2.9.1...4.3.....9..2.5... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B7,C8: 5..:
* DIS # B7: 5 # F7: 6,7 => CTR => F7: 4 * DIS # B7: 5 + F7: 4 # D3: 6,7 => CTR => D3: 1,9 * DIS # B7: 5 + F7: 4 + D3: 1,9 # D6: 6,7 => CTR => D6: 5 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 # D5: 9 => CTR => D5: 6,7 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 # E9: 6,7 => CTR => E9: 1 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 # A7: 6,7 => CTR => A7: 3 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 # G1: 2,9 => CTR => G1: 7 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 + G1: 7 => CTR => B7: 3,7,8 * STA B7: 3,7,8 * CNT 8 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for F4,F7: 4..:
* DIS # F4: 4 # A7: 6,7 => CTR => A7: 3 * DIS # F4: 4 + A7: 3 # C8: 6,7 => CTR => C8: 5 * DIS # F4: 4 + A7: 3 + C8: 5 # A2: 1,7 => CTR => A2: 2,4 * PRF # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 # D2: 1,7 => SOL * STA # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 + D2: 1,7 * CNT 4 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| ...4............36..8.2.5...6......75....18..8.9..2.....2.9.1...4.3.....9....5... | initial |
| ...4............36..8.2.5...6......75....18..8.9..2.....2.9.1...4.3.....9..2.5... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 0 pairs (_) / D3 = 1 => 3 pairs (_) E8,E9: 1.. / E8 = 1 => 1 pairs (_) / E9 = 1 => 0 pairs (_) A4,B5: 2.. / A4 = 2 => 1 pairs (_) / B5 = 2 => 0 pairs (_) F7,E9: 4.. / F7 = 4 => 0 pairs (_) / E9 = 4 => 3 pairs (_) F4,F7: 4.. / F4 = 4 => 3 pairs (_) / F7 = 4 => 0 pairs (_) B7,C8: 5.. / B7 = 5 => 3 pairs (_) / C8 = 5 => 0 pairs (_) H1,I1: 8.. / H1 = 8 => 0 pairs (_) / I1 = 8 => 1 pairs (_) B7,B9: 8.. / B7 = 8 => 1 pairs (_) / B9 = 8 => 1 pairs (_) * DURATION: 0:00:09.732970 START: 18:04:27.699788 END: 18:04:37.432758 2020-11-28 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B7,C8: 5.. / B7 = 5 ==> 0 pairs (X) / C8 = 5 => 0 pairs (_) F4,F7: 4.. / F4 = 4 ==> 0 pairs (*) / F7 = 4 => 0 pairs (X) * DURATION: 0:00:46.746968 START: 18:04:37.433391 END: 18:05:24.180359 2020-11-28 * REASONING B7,C8: 5.. * DIS # B7: 5 # F7: 6,7 => CTR => F7: 4 * DIS # B7: 5 + F7: 4 # D3: 6,7 => CTR => D3: 1,9 * DIS # B7: 5 + F7: 4 + D3: 1,9 # D6: 6,7 => CTR => D6: 5 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 # D5: 9 => CTR => D5: 6,7 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 # E9: 6,7 => CTR => E9: 1 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 # A7: 6,7 => CTR => A7: 3 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 # G1: 2,9 => CTR => G1: 7 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 + G1: 7 => CTR => B7: 3,7,8 * STA B7: 3,7,8 * CNT 8 HDP CHAINS / 20 HYP OPENED * REASONING F4,F7: 4.. * DIS # F4: 4 # A7: 6,7 => CTR => A7: 3 * DIS # F4: 4 + A7: 3 # C8: 6,7 => CTR => C8: 5 * DIS # F4: 4 + A7: 3 + C8: 5 # A2: 1,7 => CTR => A2: 2,4 * PRF # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 # D2: 1,7 => SOL * STA # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 + D2: 1,7 * CNT 4 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
1484;376;elev;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,C8: 5..:
* DIS # B7: 5 # F7: 6,7 => CTR => F7: 4 * INC # B7: 5 + F7: 4 # E8: 6,7 => UNS * INC # B7: 5 + F7: 4 # F8: 6,7 => UNS * INC # B7: 5 + F7: 4 # E9: 6,7 => UNS * INC # B7: 5 + F7: 4 # A7: 6,7 => UNS * INC # B7: 5 + F7: 4 # H7: 6,7 => UNS * DIS # B7: 5 + F7: 4 # D3: 6,7 => CTR => D3: 1,9 * INC # B7: 5 + F7: 4 + D3: 1,9 # D5: 6,7 => UNS * DIS # B7: 5 + F7: 4 + D3: 1,9 # D6: 6,7 => CTR => D6: 5 * INC # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 # D5: 6,7 => UNS * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 # D5: 9 => CTR => D5: 6,7 * INC # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 # E8: 6,7 => UNS * INC # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 # F8: 6,7 => UNS * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 # E9: 6,7 => CTR => E9: 1 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 # A7: 6,7 => CTR => A7: 3 * INC # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 # E8: 6,7 => UNS * INC # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 # F8: 6,7 => UNS * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 # G1: 2,9 => CTR => G1: 7 * DIS # B7: 5 + F7: 4 + D3: 1,9 + D6: 5 + D5: 6,7 + E9: 1 + A7: 3 + G1: 7 => CTR => B7: 3,7,8 * INC B7: 3,7,8 # C8: 5 => UNS * STA B7: 3,7,8 * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F4,F7: 4..:
* INC # F4: 4 # A4: 1,3 => UNS * INC # F4: 4 # B6: 1,3 => UNS * INC # F4: 4 # C1: 1,3 => UNS * INC # F4: 4 # C9: 1,3 => UNS * DIS # F4: 4 # A7: 6,7 => CTR => A7: 3 * DIS # F4: 4 + A7: 3 # C8: 6,7 => CTR => C8: 5 * INC # F4: 4 + A7: 3 + C8: 5 # G8: 6,7 => UNS * INC # F4: 4 + A7: 3 + C8: 5 # H8: 6,7 => UNS * INC # F4: 4 + A7: 3 + C8: 5 # A1: 6,7 => UNS * INC # F4: 4 + A7: 3 + C8: 5 # A3: 6,7 => UNS * INC # F4: 4 + A7: 3 + C8: 5 # A1: 1,7 => UNS * INC # F4: 4 + A7: 3 + C8: 5 # C1: 1,7 => UNS * DIS # F4: 4 + A7: 3 + C8: 5 # A2: 1,7 => CTR => A2: 2,4 * INC # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 # A3: 1,7 => UNS * PRF # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 # D2: 1,7 => SOL * STA # F4: 4 + A7: 3 + C8: 5 + A2: 2,4 + D2: 1,7 * CNT 15 HDP CHAINS / 16 HYP OPENED