Analysis of xx-ph-00432823-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1.....2.3...3.4.5....4....6..3..5...475....3....587.6....7.6.4..8....9... initial
Autosolve
position: .......41.....2.3...3.4.5....4....65.3..5...475....3....587.6....7.6.4..8....9... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for F1,F8: 5..:
* DIS # F1: 5 # G1: 8,9 => CTR => G1: 2 * DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9 * DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9 * DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8 * STA F1: 3,6,7,8 * CNT 4 HDP CHAINS / 6 HYP OPENED
List of important HDP chains detected for A2,D2: 5..:
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * CNT 1 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for A1,A2: 5..:
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * CNT 1 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for D9,H9: 5..:
* DIS # D9: 5 => CTR => D9: 1,2,3,4 * STA D9: 1,2,3,4 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for H8,H9: 5..:
* DIS # H8: 5 => CTR => H8: 1,2,8,9 * STA H8: 1,2,8,9 * CNT 1 HDP CHAINS / 2 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
| ........1.....2.3...3.4.5....4....6..3..5...475....3....587.6....7.6.4..8....9... | initial |
| .......41.....2.3...3.4.5....4....65.3..5...475....3....587.6....7.6.4..8....9... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,A8: 3.. / A7 = 3 => 2 pairs (_) / A8 = 3 => 1 pairs (_) A2,B2: 4.. / A2 = 4 => 0 pairs (_) / B2 = 4 => 2 pairs (_) D6,F6: 4.. / D6 = 4 => 0 pairs (_) / F6 = 4 => 1 pairs (_) F7,D9: 4.. / F7 = 4 => 0 pairs (_) / D9 = 4 => 1 pairs (_) B9,D9: 4.. / B9 = 4 => 0 pairs (_) / D9 = 4 => 1 pairs (_) A2,A7: 4.. / A2 = 4 => 0 pairs (_) / A7 = 4 => 2 pairs (_) D6,D9: 4.. / D6 = 4 => 0 pairs (_) / D9 = 4 => 1 pairs (_) F6,F7: 4.. / F6 = 4 => 1 pairs (_) / F7 = 4 => 0 pairs (_) A1,A2: 5.. / A1 = 5 => 0 pairs (_) / A2 = 5 => 2 pairs (_) H8,H9: 5.. / H8 = 5 => 0 pairs (X) / H9 = 5 => 0 pairs (_) A2,D2: 5.. / A2 = 5 => 2 pairs (_) / D2 = 5 => 0 pairs (_) D9,H9: 5.. / D9 = 5 => 0 pairs (X) / H9 = 5 => 0 pairs (_) F1,F8: 5.. / F1 = 5 => 11 pairs (_) / F8 = 5 => 0 pairs (_) I2,I3: 6.. / I2 = 6 => 0 pairs (_) / I3 = 6 => 0 pairs (_) B9,C9: 6.. / B9 = 6 => 2 pairs (_) / C9 = 6 => 2 pairs (_) H8,I8: 8.. / H8 = 8 => 0 pairs (_) / I8 = 8 => 1 pairs (_) * DURATION: 0:00:14.985727 START: 20:47:04.590946 END: 20:47:19.576673 2020-12-26 * CP COUNT: (16) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F1,F8: 5.. / F1 = 5 ==> 0 pairs (X) / F8 = 5 => 0 pairs (_) B9,C9: 6.. / B9 = 6 ==> 2 pairs (_) / C9 = 6 ==> 2 pairs (_) A7,A8: 3.. / A7 = 3 ==> 2 pairs (_) / A8 = 3 ==> 1 pairs (_) A2,D2: 5.. / A2 = 5 ==> 3 pairs (_) / D2 = 5 ==> 0 pairs (_) A1,A2: 5.. / A1 = 5 ==> 0 pairs (_) / A2 = 5 ==> 3 pairs (_) A2,A7: 4.. / A2 = 4 ==> 0 pairs (_) / A7 = 4 ==> 2 pairs (_) A2,B2: 4.. / A2 = 4 ==> 0 pairs (_) / B2 = 4 ==> 2 pairs (_) H8,I8: 8.. / H8 = 8 ==> 0 pairs (_) / I8 = 8 ==> 1 pairs (_) F6,F7: 4.. / F6 = 4 ==> 1 pairs (_) / F7 = 4 ==> 0 pairs (_) D6,D9: 4.. / D6 = 4 ==> 0 pairs (_) / D9 = 4 ==> 1 pairs (_) B9,D9: 4.. / B9 = 4 ==> 0 pairs (_) / D9 = 4 ==> 1 pairs (_) F7,D9: 4.. / F7 = 4 ==> 0 pairs (_) / D9 = 4 ==> 1 pairs (_) D6,F6: 4.. / D6 = 4 ==> 0 pairs (_) / F6 = 4 ==> 1 pairs (_) I2,I3: 6.. / I2 = 6 ==> 0 pairs (_) / I3 = 6 ==> 0 pairs (_) D9,H9: 5.. / D9 = 5 => 0 pairs (X) / H9 = 5 => 0 pairs (_) H8,H9: 5.. / H8 = 5 => 0 pairs (X) / H9 = 5 => 0 pairs (_) * DURATION: 0:01:52.362713 START: 20:47:19.577418 END: 20:49:11.940131 2020-12-26 * REASONING F1,F8: 5.. * DIS # F1: 5 # G1: 8,9 => CTR => G1: 2 * DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9 * DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9 * DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8 * STA F1: 3,6,7,8 * CNT 4 HDP CHAINS / 6 HYP OPENED * REASONING A2,D2: 5.. * DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * CNT 1 HDP CHAINS / 19 HYP OPENED * REASONING A1,A2: 5.. * DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * CNT 1 HDP CHAINS / 19 HYP OPENED * REASONING D9,H9: 5.. * DIS # D9: 5 => CTR => D9: 1,2,3,4 * STA D9: 1,2,3,4 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING H8,H9: 5.. * DIS # H8: 5 => CTR => H8: 1,2,8,9 * STA H8: 1,2,8,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (16) * CLUE FOUND
Header Info
432823;12_12_03;dob;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F1,F8: 5..:
* DIS # F1: 5 # G1: 8,9 => CTR => G1: 2 * INC # F1: 5 + G1: 2 # G5: 8,9 => UNS * DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9 * DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9 * DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8 * INC F1: 3,6,7,8 # F8: 5 => UNS * STA F1: 3,6,7,8 * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for B9,C9: 6..:
* INC # B9: 6 # A7: 1,2 => UNS * INC # B9: 6 # B7: 1,2 => UNS * INC # B9: 6 # A8: 1,2 => UNS * INC # B9: 6 # B8: 1,2 => UNS * INC # B9: 6 # E9: 1,2 => UNS * INC # B9: 6 # G9: 1,2 => UNS * INC # B9: 6 # C5: 1,2 => UNS * INC # B9: 6 # C6: 1,2 => UNS * INC # B9: 6 # D8: 1,3 => UNS * INC # B9: 6 # F8: 1,3 => UNS * INC # B9: 6 # E9: 1,3 => UNS * INC # B9: 6 # A7: 1,3 => UNS * INC # B9: 6 # A7: 2,4,9 => UNS * INC # B9: 6 # F4: 1,3 => UNS * INC # B9: 6 # F4: 7,8 => UNS * INC # B9: 6 => UNS * INC # C9: 6 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for A7,A8: 3..:
* INC # A7: 3 # D9: 1,4 => UNS * INC # A7: 3 # D9: 2,3 => UNS * INC # A7: 3 # B7: 1,4 => UNS * INC # A7: 3 # B7: 2,9 => UNS * INC # A7: 3 # F6: 1,4 => UNS * INC # A7: 3 # F6: 6,8 => UNS * INC # A7: 3 # H7: 2,9 => UNS * INC # A7: 3 # H8: 2,9 => UNS * INC # A7: 3 # I8: 2,9 => UNS * INC # A7: 3 # B7: 2,9 => UNS * INC # A7: 3 # B7: 1,4 => UNS * INC # A7: 3 # I3: 2,9 => UNS * INC # A7: 3 # I6: 2,9 => UNS * INC # A7: 3 => UNS * INC # A8: 3 # D8: 1,5 => UNS * INC # A8: 3 # D9: 1,5 => UNS * INC # A8: 3 # H8: 1,5 => UNS * INC # A8: 3 # H8: 2,8,9 => UNS * INC # A8: 3 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A2,D2: 5..:
* INC # A2: 5 # E9: 1,3 => UNS * INC # A2: 5 # E9: 2 => UNS * DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS * INC # A2: 5 + F4: 7,8 # E9: 2 => UNS * INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS * INC # A2: 5 + F4: 7,8 # D8: 2 => UNS * INC # A2: 5 + F4: 7,8 # F5: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # F5: 1,6 => UNS * INC # A2: 5 + F4: 7,8 # G4: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # G4: 1,2,9 => UNS * INC # A2: 5 + F4: 7,8 # F1: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # F3: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS * INC # A2: 5 + F4: 7,8 # E9: 2 => UNS * INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS * INC # A2: 5 + F4: 7,8 # D8: 2 => UNS * INC # A2: 5 + F4: 7,8 => UNS * INC # D2: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A1,A2: 5..:
* INC # A2: 5 # E9: 1,3 => UNS * INC # A2: 5 # E9: 2 => UNS * DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8 * INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS * INC # A2: 5 + F4: 7,8 # E9: 2 => UNS * INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS * INC # A2: 5 + F4: 7,8 # D8: 2 => UNS * INC # A2: 5 + F4: 7,8 # F5: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # F5: 1,6 => UNS * INC # A2: 5 + F4: 7,8 # G4: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # G4: 1,2,9 => UNS * INC # A2: 5 + F4: 7,8 # F1: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # F3: 7,8 => UNS * INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS * INC # A2: 5 + F4: 7,8 # E9: 2 => UNS * INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS * INC # A2: 5 + F4: 7,8 # D8: 2 => UNS * INC # A2: 5 + F4: 7,8 => UNS * INC # A1: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A2,A7: 4..:
* INC # A7: 4 # E9: 1,3 => UNS * INC # A7: 4 # E9: 2 => UNS * INC # A7: 4 # F4: 1,3 => UNS * INC # A7: 4 # F4: 7,8 => UNS * INC # A7: 4 # D8: 1,5 => UNS * INC # A7: 4 # D8: 2 => UNS * INC # A7: 4 => UNS * INC # A2: 4 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A2,B2: 4..:
* INC # B2: 4 # E9: 1,3 => UNS * INC # B2: 4 # E9: 2 => UNS * INC # B2: 4 # F4: 1,3 => UNS * INC # B2: 4 # F4: 7,8 => UNS * INC # B2: 4 # D8: 1,5 => UNS * INC # B2: 4 # D8: 2 => UNS * INC # B2: 4 => UNS * INC # A2: 4 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H8,I8: 8..:
* INC # I8: 8 # G4: 2,9 => UNS * INC # I8: 8 # G5: 2,9 => UNS * INC # I8: 8 # H5: 2,9 => UNS * INC # I8: 8 # H6: 2,9 => UNS * INC # I8: 8 # C6: 2,9 => UNS * INC # I8: 8 # D6: 2,9 => UNS * INC # I8: 8 # E6: 2,9 => UNS * INC # I8: 8 # I3: 2,9 => UNS * INC # I8: 8 # I7: 2,9 => UNS * INC # I8: 8 => UNS * INC # H8: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for F6,F7: 4..:
* INC # F6: 4 # D8: 1,3 => UNS * INC # F6: 4 # F8: 1,3 => UNS * INC # F6: 4 # E9: 1,3 => UNS * INC # F6: 4 # A7: 1,3 => UNS * INC # F6: 4 # A7: 2,4,9 => UNS * INC # F6: 4 # F4: 1,3 => UNS * INC # F6: 4 # F4: 7,8 => UNS * INC # F6: 4 => UNS * INC # F7: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D6,D9: 4..:
* INC # D9: 4 # D8: 1,3 => UNS * INC # D9: 4 # F8: 1,3 => UNS * INC # D9: 4 # E9: 1,3 => UNS * INC # D9: 4 # A7: 1,3 => UNS * INC # D9: 4 # A7: 2,4,9 => UNS * INC # D9: 4 # F4: 1,3 => UNS * INC # D9: 4 # F4: 7,8 => UNS * INC # D9: 4 => UNS * INC # D6: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for B9,D9: 4..:
* INC # D9: 4 # D8: 1,3 => UNS * INC # D9: 4 # F8: 1,3 => UNS * INC # D9: 4 # E9: 1,3 => UNS * INC # D9: 4 # A7: 1,3 => UNS * INC # D9: 4 # A7: 2,4,9 => UNS * INC # D9: 4 # F4: 1,3 => UNS * INC # D9: 4 # F4: 7,8 => UNS * INC # D9: 4 => UNS * INC # B9: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F7,D9: 4..:
* INC # D9: 4 # D8: 1,3 => UNS * INC # D9: 4 # F8: 1,3 => UNS * INC # D9: 4 # E9: 1,3 => UNS * INC # D9: 4 # A7: 1,3 => UNS * INC # D9: 4 # A7: 2,4,9 => UNS * INC # D9: 4 # F4: 1,3 => UNS * INC # D9: 4 # F4: 7,8 => UNS * INC # D9: 4 => UNS * INC # F7: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D6,F6: 4..:
* INC # F6: 4 # D8: 1,3 => UNS * INC # F6: 4 # F8: 1,3 => UNS * INC # F6: 4 # E9: 1,3 => UNS * INC # F6: 4 # A7: 1,3 => UNS * INC # F6: 4 # A7: 2,4,9 => UNS * INC # F6: 4 # F4: 1,3 => UNS * INC # F6: 4 # F4: 7,8 => UNS * INC # F6: 4 => UNS * INC # D6: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I2,I3: 6..:
* INC # I2: 6 => UNS * INC # I3: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D9,H9: 5..:
* DIS # D9: 5 => CTR => D9: 1,2,3,4 * INC D9: 1,2,3,4 # H9: 5 => UNS * STA D9: 1,2,3,4 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H8,H9: 5..:
* DIS # H8: 5 => CTR => H8: 1,2,8,9 * INC H8: 1,2,8,9 # H9: 5 => UNS * STA H8: 1,2,8,9 * CNT 2 HDP CHAINS / 2 HYP OPENED