Analysis of xx-mith-te3-00028455-base.sdk
Original Sudoku
level: deep
position: 1.3.567.9.57.....669..7.......6....15.93..6.7.16...3......2896....9641..96.53.... initial
Autosolve
position: 1.3.567.9.57.....669..7.......6....15.93..6.7.16...3......2896....9641..96.53.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:06.941091
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000002
List of important HDP chains detected for H2,H3: 1..:
* DIS # H3: 1 # F2: 2,3 => CTR => F2: 1,9 * CNT 1 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for D6,D7: 7..:
* DIS # D7: 7 # D3: 4,8 => CTR => D3: 2 * PRF # D7: 7 + D3: 2 # A2: 4,8 => SOL * STA # D7: 7 + D3: 2 + A2: 4,8 * CNT 2 HDP CHAINS / 19 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
| 1.3.567.9.57.....669..7.......6....15.93..6.7.16...3......2896....9641..96.53.... | initial |
| 1.3.567.9.57.....669..7.......6....15.93..6.7.16...3......2896....9641..96.53.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (3) F5: 1,2 D7: 1,7 F9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H2,H3: 1.. / H2 = 1 => 13 pairs (_) / H3 = 1 => 4 pairs (_) E5,F5: 1.. / E5 = 1 => 5 pairs (_) / F5 = 1 => 10 pairs (_) C7,C9: 1.. / C7 = 1 => 12 pairs (_) / C9 = 1 => 12 pairs (_) D7,F9: 1.. / D7 = 1 => 12 pairs (_) / F9 = 1 => 12 pairs (_) C7,D7: 1.. / C7 = 1 => 12 pairs (_) / D7 = 1 => 12 pairs (_) C9,F9: 1.. / C9 = 1 => 12 pairs (_) / F9 = 1 => 12 pairs (_) E2,E5: 1.. / E2 = 1 => 10 pairs (_) / E5 = 1 => 5 pairs (_) F2,F3: 3.. / F2 = 3 => 13 pairs (_) / F3 = 3 => 3 pairs (_) A4,B4: 3.. / A4 = 3 => 4 pairs (_) / B4 = 3 => 5 pairs (_) F2,H2: 3.. / F2 = 3 => 13 pairs (_) / H2 = 3 => 3 pairs (_) F4,F6: 5.. / F4 = 5 => 5 pairs (_) / F6 = 5 => 3 pairs (_) C7,C8: 5.. / C7 = 5 => 12 pairs (_) / C8 = 5 => 4 pairs (_) C7,I7: 5.. / C7 = 5 => 12 pairs (_) / I7 = 5 => 4 pairs (_) G3,G4: 5.. / G3 = 5 => 3 pairs (_) / G4 = 5 => 0 pairs (X) D7,F9: 7.. / D7 = 7 => 12 pairs (_) / F9 = 7 => 12 pairs (_) H8,H9: 7.. / H8 = 7 => 12 pairs (_) / H9 = 7 => 12 pairs (_) F9,H9: 7.. / F9 = 7 => 12 pairs (_) / H9 = 7 => 12 pairs (_) D6,D7: 7.. / D6 = 7 => 12 pairs (_) / D7 = 7 => 12 pairs (_) E2,F2: 9.. / E2 = 9 => 17 pairs (_) / F2 = 9 => 3 pairs (_) H4,H6: 9.. / H4 = 9 => 4 pairs (_) / H6 = 9 => 4 pairs (_) * DURATION: 0:00:05.149168 START: 10:28:17.223552 END: 10:28:22.372720 2025-04-04 * CP COUNT: (20) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E2,F2: 9.. / E2 = 9 ==> 17 pairs (_) / F2 = 9 ==> 3 pairs (_) H2,H3: 1.. / H2 = 1 ==> 13 pairs (_) / H3 = 1 ==> 4 pairs (_) F2,H2: 3.. / F2 = 3 ==> 13 pairs (_) / H2 = 3 ==> 3 pairs (_) F2,F3: 3.. / F2 = 3 ==> 13 pairs (_) / F3 = 3 ==> 3 pairs (_) D6,D7: 7.. / D6 = 7 ==> 12 pairs (_) / D7 = 7 ==> 0 pairs (*) * DURATION: 0:00:24.325598 START: 10:28:30.295865 END: 10:28:54.621463 2025-04-04 * REASONING H2,H3: 1.. * DIS # H3: 1 # F2: 2,3 => CTR => F2: 1,9 * CNT 1 HDP CHAINS / 21 HYP OPENED * REASONING D6,D7: 7.. * DIS # D7: 7 # D3: 4,8 => CTR => D3: 2 * PRF # D7: 7 + D3: 2 # A2: 4,8 => SOL * STA # D7: 7 + D3: 2 + A2: 4,8 * CNT 2 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
rating: 5905; r2: 98109; index: 28455
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F2: 1,2 => UNS * INC # F3: 1,2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F2: 1,2 => UNS * INC # F3: 1,2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F2: 1,2 => UNS * INC # F3: 1,2 => UNS * INC # F2: 1,2 # A7: 3,7 => UNS * INC # F2: 1,2 # A7: 4 => UNS * INC # F2: 1,2 # B7: 3,7 => UNS * INC # F2: 1,2 # B7: 4 => UNS * INC # F2: 1,2 # C4: 4,8 => UNS * INC # F2: 1,2 # A6: 4,8 => UNS * INC # F2: 1,2 # B1: 4,8 => UNS * INC # F2: 1,2 # B1: 2 => UNS * INC # F2: 1,2 # C4: 4,8 => UNS * INC # F2: 1,2 # G4: 4,8 => UNS * INC # F2: 1,2 # A6: 4,8 => UNS * INC # F2: 1,2 # I6: 4,8 => UNS * INC # F2: 1,2 # G4: 4,8 => UNS * INC # F2: 1,2 # I6: 4,8 => UNS * INC # F2: 1,2 # H1: 4,8 => UNS * INC # F2: 1,2 # H9: 4,8 => UNS * INC # F2: 1,2 => UNS * INC # F3: 1,2 # A7: 3,7 => UNS * INC # F3: 1,2 # A7: 4 => UNS * INC # F3: 1,2 # B7: 3,7 => UNS * INC # F3: 1,2 # B7: 4 => UNS * INC # F3: 1,2 # C4: 4,8 => UNS * INC # F3: 1,2 # A6: 4,8 => UNS * INC # F3: 1,2 # B1: 4,8 => UNS * INC # F3: 1,2 # B1: 2 => UNS * INC # F3: 1,2 # C4: 4,8 => UNS * INC # F3: 1,2 # G4: 4,8 => UNS * INC # F3: 1,2 # A6: 4,8 => UNS * INC # F3: 1,2 # I6: 4,8 => UNS * INC # F3: 1,2 # G4: 4,8 => UNS * INC # F3: 1,2 # I6: 4,8 => UNS * INC # F3: 1,2 # H1: 4,8 => UNS * INC # F3: 1,2 # H9: 4,8 => UNS * INC # F3: 1,2 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E2,F2: 9..:
* INC # E2: 9 # A7: 3,7 => UNS * INC # E2: 9 # A7: 4 => UNS * INC # E2: 9 # B7: 3,7 => UNS * INC # E2: 9 # B7: 4 => UNS * INC # E2: 9 # C4: 4,8 => UNS * INC # E2: 9 # A6: 4,8 => UNS * INC # E2: 9 # B1: 4,8 => UNS * INC # E2: 9 # B1: 2 => UNS * INC # E2: 9 # C4: 4,8 => UNS * INC # E2: 9 # G4: 4,8 => UNS * INC # E2: 9 # A6: 4,8 => UNS * INC # E2: 9 # I6: 4,8 => UNS * INC # E2: 9 # G4: 4,8 => UNS * INC # E2: 9 # I6: 4,8 => UNS * INC # E2: 9 # H1: 4,8 => UNS * INC # E2: 9 # H9: 4,8 => UNS * INC # E2: 9 => UNS * INC # F2: 9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for H2,H3: 1..:
* INC # H2: 1 # A7: 3,7 => UNS * INC # H2: 1 # A7: 4 => UNS * INC # H2: 1 # B7: 3,7 => UNS * INC # H2: 1 # B7: 4 => UNS * INC # H2: 1 # C4: 4,8 => UNS * INC # H2: 1 # A6: 4,8 => UNS * INC # H2: 1 # B1: 4,8 => UNS * INC # H2: 1 # B1: 2 => UNS * INC # H2: 1 # C4: 4,8 => UNS * INC # H2: 1 # G4: 4,8 => UNS * INC # H2: 1 # A6: 4,8 => UNS * INC # H2: 1 # I6: 4,8 => UNS * INC # H2: 1 # G4: 4,8 => UNS * INC # H2: 1 # I6: 4,8 => UNS * INC # H2: 1 # H1: 4,8 => UNS * INC # H2: 1 # H9: 4,8 => UNS * INC # H2: 1 => UNS * DIS # H3: 1 # F2: 2,3 => CTR => F2: 1,9 * INC # H3: 1 + F2: 1,9 # E2: 1,9 => UNS * INC # H3: 1 + F2: 1,9 # E2: 4,8 => UNS * INC # H3: 1 + F2: 1,9 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for F2,H2: 3..:
* INC # F2: 3 # A7: 3,7 => UNS * INC # F2: 3 # A7: 4 => UNS * INC # F2: 3 # B7: 3,7 => UNS * INC # F2: 3 # B7: 4 => UNS * INC # F2: 3 # C4: 4,8 => UNS * INC # F2: 3 # A6: 4,8 => UNS * INC # F2: 3 # B1: 4,8 => UNS * INC # F2: 3 # B1: 2 => UNS * INC # F2: 3 # C4: 4,8 => UNS * INC # F2: 3 # G4: 4,8 => UNS * INC # F2: 3 # A6: 4,8 => UNS * INC # F2: 3 # I6: 4,8 => UNS * INC # F2: 3 # G4: 4,8 => UNS * INC # F2: 3 # I6: 4,8 => UNS * INC # F2: 3 # H1: 4,8 => UNS * INC # F2: 3 # H9: 4,8 => UNS * INC # F2: 3 => UNS * INC # H2: 3 # F2: 1,2 => UNS * INC # H2: 3 # F2: 9 => UNS * INC # H2: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F2,F3: 3..:
* INC # F2: 3 # A7: 3,7 => UNS * INC # F2: 3 # A7: 4 => UNS * INC # F2: 3 # B7: 3,7 => UNS * INC # F2: 3 # B7: 4 => UNS * INC # F2: 3 # C4: 4,8 => UNS * INC # F2: 3 # A6: 4,8 => UNS * INC # F2: 3 # B1: 4,8 => UNS * INC # F2: 3 # B1: 2 => UNS * INC # F2: 3 # C4: 4,8 => UNS * INC # F2: 3 # G4: 4,8 => UNS * INC # F2: 3 # A6: 4,8 => UNS * INC # F2: 3 # I6: 4,8 => UNS * INC # F2: 3 # G4: 4,8 => UNS * INC # F2: 3 # I6: 4,8 => UNS * INC # F2: 3 # H1: 4,8 => UNS * INC # F2: 3 # H9: 4,8 => UNS * INC # F2: 3 => UNS * INC # F3: 3 # F2: 1,2 => UNS * INC # F3: 3 # F2: 9 => UNS * INC # F3: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for D6,D7: 7..:
* INC # D6: 7 # F2: 1,9 => UNS * INC # D6: 7 # F2: 3 => UNS * INC # D6: 7 # F2: 1,3 => UNS * INC # D6: 7 # F2: 9 => UNS * INC # D6: 7 # F2: 1,3 => UNS * INC # D6: 7 # F2: 9 => UNS * INC # D6: 7 # A7: 3,7 => UNS * INC # D6: 7 # A7: 4 => UNS * INC # D6: 7 # B7: 3,7 => UNS * INC # D6: 7 # B7: 4 => UNS * INC # D6: 7 # F4: 5,9 => UNS * INC # D6: 7 # F4: 2 => UNS * INC # D6: 7 # F6: 5,9 => UNS * INC # D6: 7 # F6: 2 => UNS * INC # D6: 7 => UNS * INC # D7: 7 # D1: 4,8 => UNS * DIS # D7: 7 # D3: 4,8 => CTR => D3: 2 * PRF # D7: 7 + D3: 2 # A2: 4,8 => SOL * STA # D7: 7 + D3: 2 + A2: 4,8 * CNT 18 HDP CHAINS / 19 HYP OPENED