Analysis of xx-ph-00041138-12_07-base.sdk
Original Sudoku
level: very deep
position: 98.7..6..7..5.........98...5..6..7....4....3......2.9.1...6...7.5.1...69.....51.. initial
Autosolve
position: 98.7..6..7..5.69......98.7.5..6..7....4....3......2.9.1...6...7.5.1...69.....51.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:06.856523
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000014
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:39.513876
List of important HDP chains detected for H1,H7: 5..:
* DIS # H1: 5 # D7: 8,9 # E5: 1,7 => CTR => E5: 5 * DIS # H1: 5 # D7: 8,9 + E5: 5 # B2: 2,3 => CTR => B2: 4 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 # A6: 6,8 => CTR => A6: 3 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 + A6: 3 => CTR => D7: 2,3,4 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 # E4: 3,4 => CTR => E4: 8 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 # D3: 3,4 => CTR => D3: 2 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 + D3: 2 => CTR => D9: 2,3,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 # I1: 2,3 => CTR => I1: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 # I2: 2,3 => CTR => I2: 1,4,8 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 # I3: 2,3 => CTR => I3: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 + I3: 1,4 => CTR => H1: 1,2,4 * STA H1: 1,2,4 * CNT 11 HDP CHAINS / 54 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..7..5.........98...5..6..7....4....3......2.9.1...6...7.5.1...69.....51.. | initial |
| 98.7..6..7..5.69......98.7.5..6..7....4....3......2.9.1...6...7.5.1...69.....51.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D5: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C3: 5.. / C1 = 5 => 1 pairs (_) / C3 = 5 => 1 pairs (_) E5,E6: 5.. / E5 = 5 => 2 pairs (_) / E6 = 5 => 2 pairs (_) G7,H7: 5.. / G7 = 5 => 6 pairs (_) / H7 = 5 => 1 pairs (_) H1,H7: 5.. / H1 = 5 => 6 pairs (_) / H7 = 5 => 1 pairs (_) I5,I6: 6.. / I5 = 6 => 2 pairs (_) / I6 = 6 => 2 pairs (_) F5,F8: 7.. / F5 = 7 => 2 pairs (_) / F8 = 7 => 4 pairs (_) H2,I2: 8.. / H2 = 8 => 2 pairs (_) / I2 = 8 => 1 pairs (_) * DURATION: 0:00:04.465138 START: 05:26:23.165100 END: 05:26:27.630238 2020-10-27 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,H7: 5.. / H1 = 5 ==> 6 pairs (_) / H7 = 5 ==> 1 pairs (_) G7,H7: 5.. / G7 = 5 ==> 6 pairs (_) / H7 = 5 ==> 1 pairs (_) F5,F8: 7.. / F5 = 7 ==> 2 pairs (_) / F8 = 7 ==> 4 pairs (_) I5,I6: 6.. / I5 = 6 ==> 2 pairs (_) / I6 = 6 ==> 2 pairs (_) E5,E6: 5.. / E5 = 5 ==> 2 pairs (_) / E6 = 5 ==> 2 pairs (_) H2,I2: 8.. / H2 = 8 ==> 2 pairs (_) / I2 = 8 ==> 1 pairs (_) C1,C3: 5.. / C1 = 5 ==> 1 pairs (_) / C3 = 5 ==> 1 pairs (_) * DURATION: 0:01:00.172090 START: 05:26:36.501754 END: 05:27:36.673844 2020-10-27 * DCP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H1,H7: 5.. / H1 = 5 ==> 0 pairs (X) / H7 = 5 => 1 pairs (_) * DURATION: 0:00:39.509659 START: 05:27:36.751293 END: 05:28:16.260952 2020-10-27 * REASONING H1,H7: 5.. * DIS # H1: 5 # D7: 8,9 # E5: 1,7 => CTR => E5: 5 * DIS # H1: 5 # D7: 8,9 + E5: 5 # B2: 2,3 => CTR => B2: 4 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 # A6: 6,8 => CTR => A6: 3 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 + A6: 3 => CTR => D7: 2,3,4 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 # E4: 3,4 => CTR => E4: 8 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 # D3: 3,4 => CTR => D3: 2 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 + D3: 2 => CTR => D9: 2,3,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 # I1: 2,3 => CTR => I1: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 # I2: 2,3 => CTR => I2: 1,4,8 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 # I3: 2,3 => CTR => I3: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 + I3: 1,4 => CTR => H1: 1,2,4 * STA H1: 1,2,4 * CNT 11 HDP CHAINS / 54 HYP OPENED * VDCP COUNT: (1) * CLUE FOUND
Header Info
41138;12_07;GP;24;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # D7: 8,9 => UNS * INC # D9: 8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 8,9 => UNS * INC # D9: 8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 8,9 => UNS * INC # D9: 8,9 => UNS * INC # D7: 8,9 # E4: 3,4 => UNS * INC # D7: 8,9 # F4: 3,4 => UNS * INC # D7: 8,9 # E6: 3,4 => UNS * INC # D7: 8,9 # D3: 3,4 => UNS * INC # D7: 8,9 # D9: 3,4 => UNS * INC # D7: 8,9 => UNS * INC # D9: 8,9 # E4: 3,4 => UNS * INC # D9: 8,9 # F4: 3,4 => UNS * INC # D9: 8,9 # E6: 3,4 => UNS * INC # D9: 8,9 # D3: 3,4 => UNS * INC # D9: 8,9 # D7: 3,4 => UNS * INC # D9: 8,9 # C9: 8,9 => UNS * INC # D9: 8,9 # C9: 2,3,6,7 => UNS * INC # D9: 8,9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H7: 5..:
* INC # H1: 5 # D7: 8,9 => UNS * INC # H1: 5 # D9: 8,9 => UNS * INC # H1: 5 # E5: 1,7 => UNS * INC # H1: 5 # E6: 1,7 => UNS * INC # H1: 5 # B5: 1,7 => UNS * INC # H1: 5 # B5: 2,6,9 => UNS * INC # H1: 5 # H4: 2,8 => UNS * INC # H1: 5 # I4: 2,8 => UNS * INC # H1: 5 # A5: 2,8 => UNS * INC # H1: 5 # A5: 6 => UNS * INC # H1: 5 # G8: 2,8 => UNS * INC # H1: 5 # G8: 3,4 => UNS * INC # H1: 5 # H4: 4,8 => UNS * INC # H1: 5 # I4: 4,8 => UNS * INC # H1: 5 # D6: 4,8 => UNS * INC # H1: 5 # D6: 3 => UNS * INC # H1: 5 # G8: 4,8 => UNS * INC # H1: 5 # G8: 2,3 => UNS * INC # H1: 5 => UNS * INC # H7: 5 # D7: 8,9 => UNS * INC # H7: 5 # D9: 8,9 => UNS * INC # H7: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G7,H7: 5..:
* INC # G7: 5 # D7: 8,9 => UNS * INC # G7: 5 # D9: 8,9 => UNS * INC # G7: 5 # E5: 1,7 => UNS * INC # G7: 5 # E6: 1,7 => UNS * INC # G7: 5 # B5: 1,7 => UNS * INC # G7: 5 # B5: 2,6,9 => UNS * INC # G7: 5 # H4: 2,8 => UNS * INC # G7: 5 # I4: 2,8 => UNS * INC # G7: 5 # A5: 2,8 => UNS * INC # G7: 5 # A5: 6 => UNS * INC # G7: 5 # G8: 2,8 => UNS * INC # G7: 5 # G8: 3,4 => UNS * INC # G7: 5 # H4: 4,8 => UNS * INC # G7: 5 # I4: 4,8 => UNS * INC # G7: 5 # D6: 4,8 => UNS * INC # G7: 5 # D6: 3 => UNS * INC # G7: 5 # G8: 4,8 => UNS * INC # G7: 5 # G8: 2,3 => UNS * INC # G7: 5 => UNS * INC # H7: 5 # D7: 8,9 => UNS * INC # H7: 5 # D9: 8,9 => UNS * INC # H7: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for F5,F8: 7..:
* INC # F8: 7 # D7: 8,9 => UNS * INC # F8: 7 # D9: 8,9 => UNS * INC # F8: 7 # F4: 1,9 => UNS * INC # F8: 7 # F4: 3,4 => UNS * INC # F8: 7 # B5: 1,9 => UNS * INC # F8: 7 # B5: 2,6,7 => UNS * INC # F8: 7 => UNS * INC # F5: 7 # D7: 8,9 => UNS * INC # F5: 7 # D9: 8,9 => UNS * INC # F5: 7 # D7: 3,4 => UNS * INC # F5: 7 # F7: 3,4 => UNS * INC # F5: 7 # E8: 3,4 => UNS * INC # F5: 7 # D9: 3,4 => UNS * INC # F5: 7 # E9: 3,4 => UNS * INC # F5: 7 # A8: 3,4 => UNS * INC # F5: 7 # G8: 3,4 => UNS * INC # F5: 7 # F1: 3,4 => UNS * INC # F5: 7 # F4: 3,4 => UNS * INC # F5: 7 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for I5,I6: 6..:
* INC # I5: 6 # C4: 2,8 => UNS * INC # I5: 6 # C4: 1,3,9 => UNS * INC # I5: 6 # G5: 2,8 => UNS * INC # I5: 6 # G5: 5 => UNS * INC # I5: 6 # A8: 2,8 => UNS * INC # I5: 6 # A9: 2,8 => UNS * INC # I5: 6 # D7: 8,9 => UNS * INC # I5: 6 # D9: 8,9 => UNS * INC # I5: 6 => UNS * INC # I6: 6 # C4: 3,8 => UNS * INC # I6: 6 # C6: 3,8 => UNS * INC # I6: 6 # D6: 3,8 => UNS * INC # I6: 6 # E6: 3,8 => UNS * INC # I6: 6 # A8: 3,8 => UNS * INC # I6: 6 # A9: 3,8 => UNS * INC # I6: 6 # D7: 8,9 => UNS * INC # I6: 6 # D9: 8,9 => UNS * INC # I6: 6 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for E5,E6: 5..:
* INC # E5: 5 # D7: 8,9 => UNS * INC # E5: 5 # D9: 8,9 => UNS * INC # E5: 5 # H4: 2,8 => UNS * INC # E5: 5 # I4: 2,8 => UNS * INC # E5: 5 # I5: 2,8 => UNS * INC # E5: 5 # A5: 2,8 => UNS * INC # E5: 5 # A5: 6 => UNS * INC # E5: 5 # G7: 2,8 => UNS * INC # E5: 5 # G8: 2,8 => UNS * INC # E5: 5 => UNS * INC # E6: 5 # D7: 8,9 => UNS * INC # E6: 5 # D9: 8,9 => UNS * INC # E6: 5 # H4: 4,8 => UNS * INC # E6: 5 # I4: 4,8 => UNS * INC # E6: 5 # I6: 4,8 => UNS * INC # E6: 5 # D6: 4,8 => UNS * INC # E6: 5 # D6: 3 => UNS * INC # E6: 5 # G7: 4,8 => UNS * INC # E6: 5 # G8: 4,8 => UNS * INC # E6: 5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # H2: 8 # D7: 8,9 => UNS * INC # H2: 8 # D9: 8,9 => UNS * INC # H2: 8 # G7: 2,4 => UNS * INC # H2: 8 # H7: 2,4 => UNS * INC # H2: 8 # G8: 2,4 => UNS * INC # H2: 8 # I9: 2,4 => UNS * INC # H2: 8 # A9: 2,4 => UNS * INC # H2: 8 # B9: 2,4 => UNS * INC # H2: 8 # D9: 2,4 => UNS * INC # H2: 8 # E9: 2,4 => UNS * INC # H2: 8 # H1: 2,4 => UNS * INC # H2: 8 # H4: 2,4 => UNS * INC # H2: 8 => UNS * INC # I2: 8 # D7: 8,9 => UNS * INC # I2: 8 # D9: 8,9 => UNS * INC # I2: 8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C1,C3: 5..:
* INC # C1: 5 # D7: 8,9 => UNS * INC # C1: 5 # D9: 8,9 => UNS * INC # C1: 5 => UNS * INC # C3: 5 # D7: 8,9 => UNS * INC # C3: 5 # D9: 8,9 => UNS * INC # C3: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A5. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H7: 5..:
* INC # H1: 5 # D7: 8,9 => UNS * INC # H1: 5 # D9: 8,9 => UNS * INC # H1: 5 # E5: 1,7 => UNS * INC # H1: 5 # E6: 1,7 => UNS * INC # H1: 5 # B5: 1,7 => UNS * INC # H1: 5 # B5: 2,6,9 => UNS * INC # H1: 5 # H4: 2,8 => UNS * INC # H1: 5 # I4: 2,8 => UNS * INC # H1: 5 # A5: 2,8 => UNS * INC # H1: 5 # A5: 6 => UNS * INC # H1: 5 # G8: 2,8 => UNS * INC # H1: 5 # G8: 3,4 => UNS * INC # H1: 5 # H4: 4,8 => UNS * INC # H1: 5 # I4: 4,8 => UNS * INC # H1: 5 # D6: 4,8 => UNS * INC # H1: 5 # D6: 3 => UNS * INC # H1: 5 # G8: 4,8 => UNS * INC # H1: 5 # G8: 2,3 => UNS * DIS # H1: 5 # D7: 8,9 # E5: 1,7 => CTR => E5: 5 * INC # H1: 5 # D7: 8,9 + E5: 5 # D3: 3,4 => UNS * INC # H1: 5 # D7: 8,9 + E5: 5 # D9: 3,4 => UNS * DIS # H1: 5 # D7: 8,9 + E5: 5 # B2: 2,3 => CTR => B2: 4 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 # A6: 6,8 => CTR => A6: 3 * DIS # H1: 5 # D7: 8,9 + E5: 5 + B2: 4 + A6: 3 => CTR => D7: 2,3,4 * INC # H1: 5 + D7: 2,3,4 # D9: 8,9 => UNS * INC # H1: 5 + D7: 2,3,4 # D9: 2,3,4 => UNS * INC # H1: 5 + D7: 2,3,4 # E5: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # E6: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # B5: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # B5: 2,6,9 => UNS * INC # H1: 5 + D7: 2,3,4 # H4: 2,8 => UNS * INC # H1: 5 + D7: 2,3,4 # I4: 2,8 => UNS * INC # H1: 5 + D7: 2,3,4 # A5: 2,8 => UNS * INC # H1: 5 + D7: 2,3,4 # A5: 6 => UNS * INC # H1: 5 + D7: 2,3,4 # G8: 2,8 => UNS * INC # H1: 5 + D7: 2,3,4 # G8: 3,4 => UNS * INC # H1: 5 + D7: 2,3,4 # H4: 4,8 => UNS * INC # H1: 5 + D7: 2,3,4 # I4: 4,8 => UNS * INC # H1: 5 + D7: 2,3,4 # D6: 4,8 => UNS * INC # H1: 5 + D7: 2,3,4 # D6: 3 => UNS * INC # H1: 5 + D7: 2,3,4 # G8: 4,8 => UNS * INC # H1: 5 + D7: 2,3,4 # G8: 2,3 => UNS * INC # H1: 5 + D7: 2,3,4 # D9: 8,9 # E5: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # D9: 8,9 # E6: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # D9: 8,9 # B5: 1,7 => UNS * INC # H1: 5 + D7: 2,3,4 # D9: 8,9 # B5: 2,6,9 => UNS * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 # E4: 3,4 => CTR => E4: 8 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 # D3: 3,4 => CTR => D3: 2 * DIS # H1: 5 + D7: 2,3,4 # D9: 8,9 + E4: 8 + D3: 2 => CTR => D9: 2,3,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 # I1: 2,3 => CTR => I1: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 # I2: 2,3 => CTR => I2: 1,4,8 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 # I3: 2,3 => CTR => I3: 1,4 * DIS # H1: 5 + D7: 2,3,4 + D9: 2,3,4 + I1: 1,4 + I2: 1,4,8 + I3: 1,4 => CTR => H1: 1,2,4 * INC H1: 1,2,4 # H7: 5 => UNS * STA H1: 1,2,4 * CNT 54 HDP CHAINS / 54 HYP OPENED