Analysis of xx-mith-te3-00088169-base.sdk
Original Sudoku
level: deep
position: .23.567.9.567.9.32...23.56..4....9...356.2.....1......3..92.6..5...673..........7 initial
Autosolve
position: .23.567.9.567.9.32...23.56..4....9...356.2.....1......3..92.6.55...673..........7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.422898
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 G6,G9: 2..:
* DIS # G9: 2 # A4: 7,8 => CTR => A4: 2,6 * PRF # G9: 2 + A4: 2,6 # E4: 1 => SOL * STA # G9: 2 + A4: 2,6 + E4: 1 * CNT 2 HDP CHAINS / 6 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
| .23.567.9.567.9.32...23.56..4....9...356.2.....1......3..92.6..5...673..........7 | initial |
| .23.567.9.567.9.32...23.56..4....9...356.2.....1......3..92.6.55...673..........7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (4) I4: 3,6 I6: 3,6 D9: 3,5 F9: 3,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C8,H8: 2.. / C8 = 2 => 5 pairs (_) / H8 = 2 => 4 pairs (_) G6,G9: 2.. / G6 = 2 => 6 pairs (_) / G9 = 2 => 9 pairs (_) I4,I6: 3.. / I4 = 3 => 2 pairs (_) / I6 = 3 => 2 pairs (_) D9,F9: 3.. / D9 = 3 => 2 pairs (_) / F9 = 3 => 2 pairs (_) H4,H6: 5.. / H4 = 5 => 4 pairs (_) / H6 = 5 => 4 pairs (_) D9,F9: 5.. / D9 = 5 => 2 pairs (_) / F9 = 5 => 2 pairs (_) I4,I6: 6.. / I4 = 6 => 2 pairs (_) / I6 = 6 => 2 pairs (_) A9,B9: 6.. / A9 = 6 => 3 pairs (_) / B9 = 6 => 4 pairs (_) A4,I4: 6.. / A4 = 6 => 2 pairs (_) / I4 = 6 => 2 pairs (_) B6,B9: 6.. / B6 = 6 => 3 pairs (_) / B9 = 6 => 4 pairs (_) B7,C7: 7.. / B7 = 7 => 5 pairs (_) / C7 = 7 => 6 pairs (_) E5,E6: 9.. / E5 = 9 => 6 pairs (_) / E6 = 9 => 4 pairs (_) H8,H9: 9.. / H8 = 9 => 6 pairs (_) / H9 = 9 => 4 pairs (_) A5,E5: 9.. / A5 = 9 => 4 pairs (_) / E5 = 9 => 6 pairs (_) * DURATION: 0:00:03.592425 START: 23:04:09.923249 END: 23:04:13.515674 2025-04-04 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G6,G9: 2.. / G6 = 2 => 0 pairs (X) / G9 = 2 ==> 0 pairs (*) * DURATION: 0:00:05.149079 START: 23:04:23.371651 END: 23:04:28.520730 2025-04-04 * REASONING G6,G9: 2.. * DIS # G9: 2 # A4: 7,8 => CTR => A4: 2,6 * PRF # G9: 2 + A4: 2,6 # E4: 1 => SOL * STA # G9: 2 + A4: 2,6 + E4: 1 * CNT 2 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
rating: 22053; r2: 466295; index: 88169
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # D4: 3,5 => UNS * INC # D6: 3,5 => UNS * INC # F4: 3,5 => UNS * INC # F6: 3,5 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 3,5 => UNS * INC # D6: 3,5 => UNS * INC # F4: 3,5 => UNS * INC # F6: 3,5 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 3,5 => UNS * INC # D6: 3,5 => UNS * INC # F4: 3,5 => UNS * INC # F6: 3,5 => UNS * INC # D4: 3,5 # F4: 3,5 => UNS * INC # D4: 3,5 # F6: 3,5 => UNS * INC # D4: 3,5 # E5: 4,8 => UNS * INC # D4: 3,5 # E6: 4,8 => UNS * INC # D4: 3,5 # F6: 4,8 => UNS * INC # D4: 3,5 # G6: 4,8 => UNS * INC # D4: 3,5 # H6: 4,8 => UNS * INC # D4: 3,5 # D1: 4,8 => UNS * INC # D4: 3,5 # D8: 4,8 => UNS * INC # D4: 3,5 # F4: 3,5 => UNS * INC # D4: 3,5 # F6: 3,5 => UNS * INC # D4: 3,5 => UNS * INC # D6: 3,5 # E4: 1,8 => UNS * INC # D6: 3,5 # F4: 1,8 => UNS * INC # D6: 3,5 # E5: 1,8 => UNS * INC # D6: 3,5 # H4: 1,8 => UNS * INC # D6: 3,5 # H4: 2,5,7 => UNS * INC # D6: 3,5 # D1: 1,8 => UNS * INC # D6: 3,5 # D8: 1,8 => UNS * INC # D6: 3,5 # F4: 3,5 => UNS * INC # D6: 3,5 # F6: 3,5 => UNS * INC # D6: 3,5 # F4: 3,5 => UNS * INC # D6: 3,5 # F6: 3,5 => UNS * INC # D6: 3,5 => UNS * INC # F4: 3,5 # D4: 3,5 => UNS * INC # F4: 3,5 # D6: 3,5 => UNS * INC # F4: 3,5 # E5: 4,8 => UNS * INC # F4: 3,5 # D6: 4,8 => UNS * INC # F4: 3,5 # E6: 4,8 => UNS * INC # F4: 3,5 # G6: 4,8 => UNS * INC # F4: 3,5 # H6: 4,8 => UNS * INC # F4: 3,5 # F3: 4,8 => UNS * INC # F4: 3,5 # F7: 4,8 => UNS * INC # F4: 3,5 # D4: 3,5 => UNS * INC # F4: 3,5 # D6: 3,5 => UNS * INC # F4: 3,5 => UNS * INC # F6: 3,5 # D4: 1,8 => UNS * INC # F6: 3,5 # E4: 1,8 => UNS * INC # F6: 3,5 # E5: 1,8 => UNS * INC # F6: 3,5 # H4: 1,8 => UNS * INC # F6: 3,5 # H4: 2,5,7 => UNS * INC # F6: 3,5 # F3: 1,8 => UNS * INC # F6: 3,5 # F7: 1,8 => UNS * INC # F6: 3,5 # D4: 3,5 => UNS * INC # F6: 3,5 # D6: 3,5 => UNS * INC # F6: 3,5 # D4: 3,5 => UNS * INC # F6: 3,5 # D6: 3,5 => UNS * INC # F6: 3,5 => UNS * CNT 52 HDP CHAINS / 52 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G6,G9: 2..:
* DIS # G9: 2 # A4: 7,8 => CTR => A4: 2,6 * INC # G9: 2 + A4: 2,6 # A6: 7,8 => UNS * INC # G9: 2 + A4: 2,6 # B6: 7,8 => UNS * INC # G9: 2 + A4: 2,6 # E4: 7,8 => UNS * PRF # G9: 2 + A4: 2,6 # E4: 1 => SOL * STA # G9: 2 + A4: 2,6 + E4: 1 * CNT 5 HDP CHAINS / 6 HYP OPENED