Analysis of xx-ph-00028414-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....7.5.........9.7.5...4...3.2...35....95...6.1.......2.4....1....58...9. initial
Autosolve
position: 98.7..6....7.5.....5...9.7.5...4...3.2...35....95...6.19......2.4....1....58...9. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I1,I8: 5..:
* DIS # I8: 5 # H2: 1,4 => CTR => H2: 2,3,8 * DIS # I8: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => I8: 6,7,8 * STA I8: 6,7,8 * CNT 4 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for H1,I1: 5..:
* DIS # H1: 5 # H2: 1,4 => CTR => H2: 2,3,8 * DIS # H1: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => H1: 1,2,3,4 * STA H1: 1,2,3,4 * CNT 4 HDP CHAINS / 9 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....7.5.........9.7.5...4...3.2...35....95...6.1.......2.4....1....58...9. | initial |
| 98.7..6....7.5.....5...9.7.5...4...3.2...35....95...6.19......2.4....1....58...9. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E9,F9: 1.. / E9 = 1 => 1 pairs (_) / F9 = 1 => 1 pairs (_) A6,B6: 3.. / A6 = 3 => 2 pairs (_) / B6 = 3 => 2 pairs (_) H1,I1: 5.. / H1 = 5 => 3 pairs (_) / I1 = 5 => 0 pairs (_) F7,F8: 5.. / F7 = 5 => 0 pairs (_) / F8 = 5 => 1 pairs (_) F7,H7: 5.. / F7 = 5 => 0 pairs (_) / H7 = 5 => 1 pairs (_) I1,I8: 5.. / I1 = 5 => 0 pairs (_) / I8 = 5 => 3 pairs (_) I8,I9: 6.. / I8 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) F2,E3: 8.. / F2 = 8 => 0 pairs (_) / E3 = 8 => 1 pairs (_) G2,I2: 9.. / G2 = 9 => 1 pairs (_) / I2 = 9 => 0 pairs (_) G4,I5: 9.. / G4 = 9 => 0 pairs (_) / I5 = 9 => 1 pairs (_) D8,E8: 9.. / D8 = 9 => 1 pairs (_) / E8 = 9 => 0 pairs (_) D4,G4: 9.. / D4 = 9 => 1 pairs (_) / G4 = 9 => 0 pairs (_) E5,E8: 9.. / E5 = 9 => 1 pairs (_) / E8 = 9 => 0 pairs (_) G2,G4: 9.. / G2 = 9 => 1 pairs (_) / G4 = 9 => 0 pairs (_) I2,I5: 9.. / I2 = 9 => 0 pairs (_) / I5 = 9 => 1 pairs (_) * DURATION: 0:00:10.354018 START: 06:06:15.303592 END: 06:06:25.657610 2020-12-10 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I1,I8: 5.. / I1 = 5 => 0 pairs (_) / I8 = 5 ==> 0 pairs (X) H1,I1: 5.. / H1 = 5 ==> 0 pairs (X) / I1 = 5 => 0 pairs (_) A6,B6: 3.. / A6 = 3 ==> 2 pairs (_) / B6 = 3 ==> 2 pairs (_) I8,I9: 6.. / I8 = 6 ==> 1 pairs (_) / I9 = 6 ==> 1 pairs (_) E9,F9: 1.. / E9 = 1 ==> 1 pairs (_) / F9 = 1 ==> 1 pairs (_) I2,I5: 9.. / I2 = 9 ==> 0 pairs (_) / I5 = 9 ==> 1 pairs (_) G2,G4: 9.. / G2 = 9 ==> 1 pairs (_) / G4 = 9 ==> 0 pairs (_) E5,E8: 9.. / E5 = 9 ==> 1 pairs (_) / E8 = 9 ==> 0 pairs (_) D4,G4: 9.. / D4 = 9 ==> 1 pairs (_) / G4 = 9 ==> 0 pairs (_) D8,E8: 9.. / D8 = 9 ==> 1 pairs (_) / E8 = 9 ==> 0 pairs (_) G4,I5: 9.. / G4 = 9 ==> 0 pairs (_) / I5 = 9 ==> 1 pairs (_) G2,I2: 9.. / G2 = 9 ==> 1 pairs (_) / I2 = 9 ==> 0 pairs (_) F2,E3: 8.. / F2 = 8 ==> 0 pairs (_) / E3 = 8 ==> 1 pairs (_) F7,H7: 5.. / F7 = 5 ==> 0 pairs (_) / H7 = 5 ==> 1 pairs (_) F7,F8: 5.. / F7 = 5 ==> 0 pairs (_) / F8 = 5 ==> 1 pairs (_) * DURATION: 0:01:19.735072 START: 06:06:25.658204 END: 06:07:45.393276 2020-12-10 * REASONING I1,I8: 5.. * DIS # I8: 5 # H2: 1,4 => CTR => H2: 2,3,8 * DIS # I8: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => I8: 6,7,8 * STA I8: 6,7,8 * CNT 4 HDP CHAINS / 9 HYP OPENED * REASONING H1,I1: 5.. * DIS # H1: 5 # H2: 1,4 => CTR => H2: 2,3,8 * DIS # H1: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => H1: 1,2,3,4 * STA H1: 1,2,3,4 * CNT 4 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (15) * CLUE FOUND
Header Info
28414;2011_12;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I1,I8: 5..:
* DIS # I8: 5 # H2: 1,4 => CTR => H2: 2,3,8 * INC # I8: 5 + H2: 2,3,8 # I2: 1,4 => UNS * INC # I8: 5 + H2: 2,3,8 # I3: 1,4 => UNS * INC # I8: 5 + H2: 2,3,8 # C1: 1,4 => UNS * INC # I8: 5 + H2: 2,3,8 # F1: 1,4 => UNS * DIS # I8: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # I8: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => I8: 6,7,8 * INC I8: 6,7,8 # I1: 5 => UNS * STA I8: 6,7,8 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H1,I1: 5..:
* DIS # H1: 5 # H2: 1,4 => CTR => H2: 2,3,8 * INC # H1: 5 + H2: 2,3,8 # I2: 1,4 => UNS * INC # H1: 5 + H2: 2,3,8 # I3: 1,4 => UNS * INC # H1: 5 + H2: 2,3,8 # C1: 1,4 => UNS * INC # H1: 5 + H2: 2,3,8 # F1: 1,4 => UNS * DIS # H1: 5 + H2: 2,3,8 # A8: 3,7 => CTR => A8: 2,6,8 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 # A9: 3,7 => CTR => A9: 2 * DIS # H1: 5 + H2: 2,3,8 + A8: 2,6,8 + A9: 2 => CTR => H1: 1,2,3,4 * INC H1: 1,2,3,4 # I1: 5 => UNS * STA H1: 1,2,3,4 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A6,B6: 3..:
* INC # A6: 3 # B4: 1,7 => UNS * INC # A6: 3 # B4: 6 => UNS * INC # A6: 3 # E6: 1,7 => UNS * INC # A6: 3 # F6: 1,7 => UNS * INC # A6: 3 # I6: 1,7 => UNS * INC # A6: 3 # H4: 1,8 => UNS * INC # A6: 3 # I5: 1,8 => UNS * INC # A6: 3 # I6: 1,8 => UNS * INC # A6: 3 # C5: 1,8 => UNS * INC # A6: 3 # E5: 1,8 => UNS * INC # A6: 3 # H2: 1,8 => UNS * INC # A6: 3 # H2: 2,3,4 => UNS * INC # A6: 3 => UNS * INC # B6: 3 # C3: 1,6 => UNS * INC # B6: 3 # C3: 2,3,4 => UNS * INC # B6: 3 # D2: 1,6 => UNS * INC # B6: 3 # F2: 1,6 => UNS * INC # B6: 3 # B4: 1,6 => UNS * INC # B6: 3 # B4: 7 => UNS * INC # B6: 3 # A8: 6,7 => UNS * INC # B6: 3 # A9: 6,7 => UNS * INC # B6: 3 # E9: 6,7 => UNS * INC # B6: 3 # F9: 6,7 => UNS * INC # B6: 3 # I9: 6,7 => UNS * INC # B6: 3 # B4: 6,7 => UNS * INC # B6: 3 # B4: 1 => UNS * INC # B6: 3 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for I8,I9: 6..:
* INC # I8: 6 # G7: 4,7 => UNS * INC # I8: 6 # G9: 4,7 => UNS * INC # I8: 6 # F9: 4,7 => UNS * INC # I8: 6 # F9: 1,2,6 => UNS * INC # I8: 6 # I5: 4,7 => UNS * INC # I8: 6 # I6: 4,7 => UNS * INC # I8: 6 => UNS * INC # I9: 6 # A8: 3,7 => UNS * INC # I9: 6 # A9: 3,7 => UNS * INC # I9: 6 # E9: 3,7 => UNS * INC # I9: 6 # G9: 3,7 => UNS * INC # I9: 6 # B6: 3,7 => UNS * INC # I9: 6 # B6: 1 => UNS * INC # I9: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E9,F9: 1..:
* INC # E9: 1 # D2: 2,3 => UNS * INC # E9: 1 # D3: 2,3 => UNS * INC # E9: 1 # E3: 2,3 => UNS * INC # E9: 1 # C1: 2,3 => UNS * INC # E9: 1 # H1: 2,3 => UNS * INC # E9: 1 # E8: 2,3 => UNS * INC # E9: 1 # E8: 6,7,9 => UNS * INC # E9: 1 => UNS * INC # F9: 1 # D2: 2,4 => UNS * INC # F9: 1 # F2: 2,4 => UNS * INC # F9: 1 # D3: 2,4 => UNS * INC # F9: 1 # C1: 2,4 => UNS * INC # F9: 1 # H1: 2,4 => UNS * INC # F9: 1 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I2,I5: 9..:
* INC # I5: 9 # F4: 1,6 => UNS * INC # I5: 9 # E5: 1,6 => UNS * INC # I5: 9 # C5: 1,6 => UNS * INC # I5: 9 # C5: 4,8 => UNS * INC # I5: 9 # D2: 1,6 => UNS * INC # I5: 9 # D3: 1,6 => UNS * INC # I5: 9 => UNS * INC # I2: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G2,G4: 9..:
* INC # G2: 9 # F4: 1,6 => UNS * INC # G2: 9 # E5: 1,6 => UNS * INC # G2: 9 # C5: 1,6 => UNS * INC # G2: 9 # C5: 4,8 => UNS * INC # G2: 9 # D2: 1,6 => UNS * INC # G2: 9 # D3: 1,6 => UNS * INC # G2: 9 => UNS * INC # G4: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E5,E8: 9..:
* INC # E5: 9 # D4: 1,6 => UNS * INC # E5: 9 # F4: 1,6 => UNS * INC # E5: 9 # C5: 1,6 => UNS * INC # E5: 9 # C5: 4,8 => UNS * INC # E5: 9 # D2: 1,6 => UNS * INC # E5: 9 # D3: 1,6 => UNS * INC # E5: 9 => UNS * INC # E8: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D4,G4: 9..:
* INC # D4: 9 # F4: 1,6 => UNS * INC # D4: 9 # E5: 1,6 => UNS * INC # D4: 9 # C5: 1,6 => UNS * INC # D4: 9 # C5: 4,8 => UNS * INC # D4: 9 # D2: 1,6 => UNS * INC # D4: 9 # D3: 1,6 => UNS * INC # D4: 9 => UNS * INC # G4: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D8,E8: 9..:
* INC # D8: 9 # D4: 1,6 => UNS * INC # D8: 9 # F4: 1,6 => UNS * INC # D8: 9 # C5: 1,6 => UNS * INC # D8: 9 # C5: 4,8 => UNS * INC # D8: 9 # D2: 1,6 => UNS * INC # D8: 9 # D3: 1,6 => UNS * INC # D8: 9 => UNS * INC # E8: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G4,I5: 9..:
* INC # I5: 9 # F4: 1,6 => UNS * INC # I5: 9 # E5: 1,6 => UNS * INC # I5: 9 # C5: 1,6 => UNS * INC # I5: 9 # C5: 4,8 => UNS * INC # I5: 9 # D2: 1,6 => UNS * INC # I5: 9 # D3: 1,6 => UNS * INC # I5: 9 => UNS * INC # G4: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G2,I2: 9..:
* INC # G2: 9 # F4: 1,6 => UNS * INC # G2: 9 # E5: 1,6 => UNS * INC # G2: 9 # C5: 1,6 => UNS * INC # G2: 9 # C5: 4,8 => UNS * INC # G2: 9 # D2: 1,6 => UNS * INC # G2: 9 # D3: 1,6 => UNS * INC # G2: 9 => UNS * INC # I2: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F2,E3: 8..:
* INC # E3: 8 # H1: 1,4 => UNS * INC # E3: 8 # I1: 1,4 => UNS * INC # E3: 8 # H2: 1,4 => UNS * INC # E3: 8 # I2: 1,4 => UNS * INC # E3: 8 # C3: 1,4 => UNS * INC # E3: 8 # D3: 1,4 => UNS * INC # E3: 8 # I5: 1,4 => UNS * INC # E3: 8 # I6: 1,4 => UNS * INC # E3: 8 => UNS * INC # F2: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F7,H7: 5..:
* INC # H7: 5 # G7: 3,8 => UNS * INC # H7: 5 # G7: 4,7 => UNS * INC # H7: 5 # A8: 3,8 => UNS * INC # H7: 5 # C8: 3,8 => UNS * INC # H7: 5 # H2: 3,8 => UNS * INC # H7: 5 # H2: 1,2,4 => UNS * INC # H7: 5 => UNS * INC # F7: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F7,F8: 5..:
* INC # F8: 5 # G7: 3,8 => UNS * INC # F8: 5 # G7: 4,7 => UNS * INC # F8: 5 # A8: 3,8 => UNS * INC # F8: 5 # C8: 3,8 => UNS * INC # F8: 5 # H2: 3,8 => UNS * INC # F8: 5 # H2: 1,2,4 => UNS * INC # F8: 5 => UNS * INC # F7: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED