Analysis of xx-ph-00061176-12_11-base.sdk
Original Sudoku
level: deep
position: 98.7.....6...9.7....7..5...4....3.....65..9......2..41.6......2.3...9.1...98..5.. initial
Autosolve
position: 98.7.....6...9.7....7..5..94....3.....65..9......2..41.6.....92.3...9.1...98..5.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.990383
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for B2,B6: 5..:
* DIS # B6: 5 # G6: 3,8 => CTR => G6: 6 * DIS # B6: 5 + G6: 6 # A6: 7 => CTR => A6: 3,8 * DIS # B6: 5 + G6: 6 + A6: 3,8 # E4: 1,6 => CTR => E4: 8 * DIS # B6: 5 + G6: 6 + A6: 3,8 + E4: 8 => CTR => B6: 7,9 * STA B6: 7,9 * CNT 4 HDP CHAINS / 12 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
| 98.7.....6...9.7....7..5...4....3.....65..9......2..41.6......2.3...9.1...98..5.. | initial |
| 98.7.....6...9.7....7..5..94....3.....65..9......2..41.6.....92.3...9.1...98..5.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D6: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G3: 1.. / G1 = 1 => 1 pairs (_) / G3 = 1 => 3 pairs (_) D8,F9: 2.. / D8 = 2 => 1 pairs (_) / F9 = 2 => 3 pairs (_) E5,F5: 4.. / E5 = 4 => 1 pairs (_) / F5 = 4 => 2 pairs (_) H4,I4: 5.. / H4 = 5 => 1 pairs (_) / I4 = 5 => 1 pairs (_) E7,E8: 5.. / E7 = 5 => 1 pairs (_) / E8 = 5 => 1 pairs (_) B2,B6: 5.. / B2 = 5 => 2 pairs (_) / B6 = 5 => 2 pairs (_) F2,E3: 8.. / F2 = 8 => 2 pairs (_) / E3 = 8 => 1 pairs (_) B4,B6: 9.. / B4 = 9 => 2 pairs (_) / B6 = 9 => 3 pairs (_) D4,D6: 9.. / D4 = 9 => 3 pairs (_) / D6 = 9 => 2 pairs (_) B4,D4: 9.. / B4 = 9 => 2 pairs (_) / D4 = 9 => 3 pairs (_) B6,D6: 9.. / B6 = 9 => 3 pairs (_) / D6 = 9 => 2 pairs (_) * DURATION: 0:00:07.122168 START: 13:08:01.020941 END: 13:08:08.143109 2020-12-21 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B6,D6: 9.. / B6 = 9 ==> 3 pairs (_) / D6 = 9 ==> 2 pairs (_) B4,D4: 9.. / B4 = 9 ==> 2 pairs (_) / D4 = 9 ==> 3 pairs (_) D4,D6: 9.. / D4 = 9 ==> 3 pairs (_) / D6 = 9 ==> 2 pairs (_) B4,B6: 9.. / B4 = 9 ==> 2 pairs (_) / B6 = 9 ==> 3 pairs (_) D8,F9: 2.. / D8 = 2 ==> 1 pairs (_) / F9 = 2 ==> 3 pairs (_) G1,G3: 1.. / G1 = 1 ==> 1 pairs (_) / G3 = 1 ==> 3 pairs (_) B2,B6: 5.. / B2 = 5 ==> 2 pairs (_) / B6 = 5 ==> 0 pairs (X) F2,E3: 8.. / F2 = 8 ==> 2 pairs (_) / E3 = 8 ==> 1 pairs (_) E5,F5: 4.. / E5 = 4 ==> 1 pairs (_) / F5 = 4 ==> 2 pairs (_) E7,E8: 5.. / E7 = 5 ==> 1 pairs (_) / E8 = 5 ==> 1 pairs (_) H4,I4: 5.. / H4 = 5 ==> 1 pairs (_) / I4 = 5 ==> 1 pairs (_) * DURATION: 0:01:25.987036 START: 13:08:21.962431 END: 13:09:47.949467 2020-12-21 * REASONING B2,B6: 5.. * DIS # B6: 5 # G6: 3,8 => CTR => G6: 6 * DIS # B6: 5 + G6: 6 # A6: 7 => CTR => A6: 3,8 * DIS # B6: 5 + G6: 6 + A6: 3,8 # E4: 1,6 => CTR => E4: 8 * DIS # B6: 5 + G6: 6 + A6: 3,8 + E4: 8 => CTR => B6: 7,9 * STA B6: 7,9 * CNT 4 HDP CHAINS / 12 HYP OPENED * DCP COUNT: (11) * CLUE FOUND
Header Info
61176;12_11;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # D4: 6,9 => UNS * INC # D4: 1 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 6,9 => UNS * INC # D4: 1 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 6,9 => UNS * INC # D4: 1 => UNS * INC # D4: 6,9 # E4: 7,8 => UNS * INC # D4: 6,9 # E5: 7,8 => UNS * INC # D4: 6,9 # F5: 7,8 => UNS * INC # D4: 6,9 # A6: 7,8 => UNS * INC # D4: 6,9 # A6: 3,5 => UNS * INC # D4: 6,9 # F9: 2,4 => UNS * INC # D4: 6,9 # F9: 1,6,7 => UNS * INC # D4: 6,9 # C8: 2,4 => UNS * INC # D4: 6,9 # C8: 5,8 => UNS * INC # D4: 6,9 # D2: 2,4 => UNS * INC # D4: 6,9 # D3: 2,4 => UNS * INC # D4: 6,9 => UNS * INC # D4: 1 # A5: 2,8 => UNS * INC # D4: 1 # A5: 1,3,7 => UNS * INC # D4: 1 # G4: 2,8 => UNS * INC # D4: 1 # H4: 2,8 => UNS * INC # D4: 1 # C8: 2,8 => UNS * INC # D4: 1 # C8: 4,5 => UNS * INC # D4: 1 # A6: 5,7 => UNS * INC # D4: 1 # A6: 3,8 => UNS * INC # D4: 1 # E7: 3,4 => UNS * INC # D4: 1 # E9: 3,4 => UNS * INC # D4: 1 # G7: 3,4 => UNS * INC # D4: 1 # G7: 8 => UNS * INC # D4: 1 # D2: 3,4 => UNS * INC # D4: 1 # D3: 3,4 => UNS * INC # D4: 1 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,D6: 9..:
* INC # B6: 9 # E4: 7,8 => UNS * INC # B6: 9 # E5: 7,8 => UNS * INC # B6: 9 # F5: 7,8 => UNS * INC # B6: 9 # A6: 7,8 => UNS * INC # B6: 9 # A6: 3,5 => UNS * INC # B6: 9 # H5: 3,8 => UNS * INC # B6: 9 # I5: 3,8 => UNS * INC # B6: 9 # A6: 3,8 => UNS * INC # B6: 9 # C6: 3,8 => UNS * INC # B6: 9 # G3: 3,8 => UNS * INC # B6: 9 # G7: 3,8 => UNS * INC # B6: 9 # F9: 2,4 => UNS * INC # B6: 9 # F9: 1,6,7 => UNS * INC # B6: 9 # C8: 2,4 => UNS * INC # B6: 9 # C8: 5,8 => UNS * INC # B6: 9 # D2: 2,4 => UNS * INC # B6: 9 # D3: 2,4 => UNS * INC # B6: 9 => UNS * INC # D6: 9 # A6: 5,7 => UNS * INC # D6: 9 # A6: 3,8 => UNS * INC # D6: 9 # E4: 1,6 => UNS * INC # D6: 9 # E4: 7,8 => UNS * INC # D6: 9 # D3: 1,6 => UNS * INC # D6: 9 # D3: 2,3,4 => UNS * INC # D6: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for B4,D4: 9..:
* INC # D4: 9 # E4: 7,8 => UNS * INC # D4: 9 # E5: 7,8 => UNS * INC # D4: 9 # F5: 7,8 => UNS * INC # D4: 9 # A6: 7,8 => UNS * INC # D4: 9 # A6: 3,5 => UNS * INC # D4: 9 # H5: 3,8 => UNS * INC # D4: 9 # I5: 3,8 => UNS * INC # D4: 9 # A6: 3,8 => UNS * INC # D4: 9 # C6: 3,8 => UNS * INC # D4: 9 # G3: 3,8 => UNS * INC # D4: 9 # G7: 3,8 => UNS * INC # D4: 9 # F9: 2,4 => UNS * INC # D4: 9 # F9: 1,6,7 => UNS * INC # D4: 9 # C8: 2,4 => UNS * INC # D4: 9 # C8: 5,8 => UNS * INC # D4: 9 # D2: 2,4 => UNS * INC # D4: 9 # D3: 2,4 => UNS * INC # D4: 9 => UNS * INC # B4: 9 # A6: 5,7 => UNS * INC # B4: 9 # A6: 3,8 => UNS * INC # B4: 9 # E4: 1,6 => UNS * INC # B4: 9 # E4: 7,8 => UNS * INC # B4: 9 # D3: 1,6 => UNS * INC # B4: 9 # D3: 2,3,4 => UNS * INC # B4: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for D4,D6: 9..:
* INC # D4: 9 # E4: 7,8 => UNS * INC # D4: 9 # E5: 7,8 => UNS * INC # D4: 9 # F5: 7,8 => UNS * INC # D4: 9 # A6: 7,8 => UNS * INC # D4: 9 # A6: 3,5 => UNS * INC # D4: 9 # H5: 3,8 => UNS * INC # D4: 9 # I5: 3,8 => UNS * INC # D4: 9 # A6: 3,8 => UNS * INC # D4: 9 # C6: 3,8 => UNS * INC # D4: 9 # G3: 3,8 => UNS * INC # D4: 9 # G7: 3,8 => UNS * INC # D4: 9 # F9: 2,4 => UNS * INC # D4: 9 # F9: 1,6,7 => UNS * INC # D4: 9 # C8: 2,4 => UNS * INC # D4: 9 # C8: 5,8 => UNS * INC # D4: 9 # D2: 2,4 => UNS * INC # D4: 9 # D3: 2,4 => UNS * INC # D4: 9 => UNS * INC # D6: 9 # A6: 5,7 => UNS * INC # D6: 9 # A6: 3,8 => UNS * INC # D6: 9 # E4: 1,6 => UNS * INC # D6: 9 # E4: 7,8 => UNS * INC # D6: 9 # D3: 1,6 => UNS * INC # D6: 9 # D3: 2,3,4 => UNS * INC # D6: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for B4,B6: 9..:
* INC # B6: 9 # E4: 7,8 => UNS * INC # B6: 9 # E5: 7,8 => UNS * INC # B6: 9 # F5: 7,8 => UNS * INC # B6: 9 # A6: 7,8 => UNS * INC # B6: 9 # A6: 3,5 => UNS * INC # B6: 9 # H5: 3,8 => UNS * INC # B6: 9 # I5: 3,8 => UNS * INC # B6: 9 # A6: 3,8 => UNS * INC # B6: 9 # C6: 3,8 => UNS * INC # B6: 9 # G3: 3,8 => UNS * INC # B6: 9 # G7: 3,8 => UNS * INC # B6: 9 # F9: 2,4 => UNS * INC # B6: 9 # F9: 1,6,7 => UNS * INC # B6: 9 # C8: 2,4 => UNS * INC # B6: 9 # C8: 5,8 => UNS * INC # B6: 9 # D2: 2,4 => UNS * INC # B6: 9 # D3: 2,4 => UNS * INC # B6: 9 => UNS * INC # B4: 9 # A6: 5,7 => UNS * INC # B4: 9 # A6: 3,8 => UNS * INC # B4: 9 # E4: 1,6 => UNS * INC # B4: 9 # E4: 7,8 => UNS * INC # B4: 9 # D3: 1,6 => UNS * INC # B4: 9 # D3: 2,3,4 => UNS * INC # B4: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for D8,F9: 2..:
* INC # F9: 2 # D4: 6,9 => UNS * INC # F9: 2 # D4: 1 => UNS * INC # F9: 2 # A7: 1,7 => UNS * INC # F9: 2 # B9: 1,7 => UNS * INC # F9: 2 # E9: 1,7 => UNS * INC # F9: 2 # E9: 3,4,6 => UNS * INC # F9: 2 # A5: 1,7 => UNS * INC # F9: 2 # A5: 2,3,8 => UNS * INC # F9: 2 # E8: 4,6 => UNS * INC # F9: 2 # E9: 4,6 => UNS * INC # F9: 2 # G8: 4,6 => UNS * INC # F9: 2 # I8: 4,6 => UNS * INC # F9: 2 # D3: 4,6 => UNS * INC # F9: 2 # D3: 1,2,3 => UNS * INC # F9: 2 => UNS * INC # D8: 2 # D4: 6,9 => UNS * INC # D8: 2 # D4: 1 => UNS * INC # D8: 2 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for G1,G3: 1..:
* INC # G3: 1 # C1: 2,3 => UNS * INC # G3: 1 # C2: 2,3 => UNS * INC # G3: 1 # D3: 2,3 => UNS * INC # G3: 1 # H3: 2,3 => UNS * INC # G3: 1 # A5: 2,3 => UNS * INC # G3: 1 # A5: 1,7,8 => UNS * INC # G3: 1 # C1: 2,4 => UNS * INC # G3: 1 # B2: 2,4 => UNS * INC # G3: 1 # C2: 2,4 => UNS * INC # G3: 1 # D3: 2,4 => UNS * INC # G3: 1 # D3: 3,6 => UNS * INC # G3: 1 # B9: 2,4 => UNS * INC # G3: 1 # B9: 1,7 => UNS * INC # G3: 1 # D4: 6,9 => UNS * INC # G3: 1 # D4: 1 => UNS * INC # G3: 1 => UNS * INC # G1: 1 # D4: 6,9 => UNS * INC # G1: 1 # D4: 1 => UNS * INC # G1: 1 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for B2,B6: 5..:
* INC # B2: 5 # B4: 7,9 => UNS * INC # B2: 5 # B4: 1,2 => UNS * INC # B2: 5 # D4: 6,9 => UNS * INC # B2: 5 # D4: 1 => UNS * INC # B2: 5 => UNS * INC # B6: 5 # A5: 3,8 => UNS * INC # B6: 5 # A6: 3,8 => UNS * DIS # B6: 5 # G6: 3,8 => CTR => G6: 6 * INC # B6: 5 + G6: 6 # A6: 3,8 => UNS * DIS # B6: 5 + G6: 6 # A6: 7 => CTR => A6: 3,8 * DIS # B6: 5 + G6: 6 + A6: 3,8 # E4: 1,6 => CTR => E4: 8 * DIS # B6: 5 + G6: 6 + A6: 3,8 + E4: 8 => CTR => B6: 7,9 * STA B6: 7,9 * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for F2,E3: 8..:
* INC # F2: 8 # D4: 6,9 => UNS * INC # F2: 8 # D4: 1 => UNS * INC # F2: 8 # E4: 6,7 => UNS * INC # F2: 8 # E4: 1,8 => UNS * INC # F2: 8 # F9: 6,7 => UNS * INC # F2: 8 # F9: 1,2,4 => UNS * INC # F2: 8 => UNS * INC # E3: 8 # D4: 6,9 => UNS * INC # E3: 8 # D4: 1 => UNS * INC # E3: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E5,F5: 4..:
* INC # F5: 4 # D4: 6,9 => UNS * INC # F5: 4 # D4: 1 => UNS * INC # F5: 4 # E7: 1,7 => UNS * INC # F5: 4 # E9: 1,7 => UNS * INC # F5: 4 # F9: 1,7 => UNS * INC # F5: 4 # A7: 1,7 => UNS * INC # F5: 4 # A7: 5,8 => UNS * INC # F5: 4 => UNS * INC # E5: 4 # D4: 6,9 => UNS * INC # E5: 4 # D4: 1 => UNS * INC # E5: 4 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for E7,E8: 5..:
* INC # E7: 5 # D4: 6,9 => UNS * INC # E7: 5 # D4: 1 => UNS * INC # E7: 5 => UNS * INC # E8: 5 # D4: 6,9 => UNS * INC # E8: 5 # D4: 1 => UNS * INC # E8: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H4,I4: 5..:
* INC # H4: 5 # D4: 6,9 => UNS * INC # H4: 5 # D4: 1 => UNS * INC # H4: 5 => UNS * INC # I4: 5 # D4: 6,9 => UNS * INC # I4: 5 # D4: 1 => UNS * INC # I4: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED