Analysis of xx-mith-te3-00047343-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.6......18.23..89327.....1....93..5.1.8.2....3.1.............2..39.59.85..32. initial
Autosolve
position: .2.4.6......18.23..89327.....1....93..5.1.8.2....3.1.............2..39.59.85..32. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A1: 3,7 => CTR => A1: 1,5 * DIS # F7: 1,4 => CTR => F7: 2,8,9 * CNT 2 HDP CHAINS / 26 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A1: 3,7 => CTR => A1: 1,5 * DIS A1: 1,5 # F7: 1,4 => CTR => F7: 2,8,9 * STA A1: 1,5 + F7: 2,8,9 * CNT 2 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .234.6......18.23..89327.....1....93..5.1.8.2....3.1............12..39.59.85.132. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:16.333939
The following important HDP chains were detected:
* DIS # A3: 4,6 # B4: 6,7 => CTR => B4: 4 * DIS # A3: 4,6 + B4: 4 # E9: 6,7 => CTR => E9: 4 * DIS # A3: 4,6 + B4: 4 + E9: 4 # D4: 2 => CTR => D4: 6,7 * PRF # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 # H6: 6,7 => SOL * STA # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 + H6: 6,7 * CNT 4 HDP CHAINS / 51 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.6......18.23..89327.....1....93..5.1.8.2....3.1.............2..39.59.85..32. | initial |
| .2.4.6......18.23..89327.....1....93..5.1.8.2....3.1.............2..39.59.85..32. | autosolve |
| .234.6......18.23..89327.....1....93..5.1.8.2....3.1............12..39.59.85.132. | pair_reduction |
| 123456789457189236689327451241678593375914862896235174534792618712863945968541327 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) C1: 3,7 E1: 5,9 F2: 5,9 G1: 5,7 A4: 2,8 A6: 2,8 F5: 4,9 F9: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 9 pairs (_) / A3 = 1 => 13 pairs (_) F7,F9: 1.. / F7 = 1 => 0 pairs (X) / F9 = 1 => 7 pairs (_) B8,H8: 1.. / B8 = 1 => 8 pairs (_) / H8 = 1 => 8 pairs (_) A4,A6: 2.. / A4 = 2 => 6 pairs (_) / A6 = 2 => 6 pairs (_) D7,F7: 2.. / D7 = 2 => 8 pairs (_) / F7 = 2 => 7 pairs (_) A1,C1: 3.. / A1 = 3 => 0 pairs (X) / C1 = 3 => 9 pairs (_) A5,B5: 3.. / A5 = 3 => 10 pairs (_) / B5 = 3 => 8 pairs (_) B5,B7: 3.. / B5 = 3 => 8 pairs (_) / B7 = 3 => 10 pairs (_) C1,C7: 3.. / C1 = 3 => 9 pairs (_) / C7 = 3 => 0 pairs (X) E1,F2: 5.. / E1 = 5 => 12 pairs (_) / F2 = 5 => 10 pairs (_) G4,H6: 5.. / G4 = 5 => 12 pairs (_) / H6 = 5 => 8 pairs (_) A7,B7: 5.. / A7 = 5 => 10 pairs (_) / B7 = 5 => 8 pairs (_) F6,H6: 5.. / F6 = 5 => 12 pairs (_) / H6 = 5 => 8 pairs (_) B2,B7: 5.. / B2 = 5 => 10 pairs (_) / B7 = 5 => 8 pairs (_) E1,E4: 5.. / E1 = 5 => 12 pairs (_) / E4 = 5 => 10 pairs (_) H1,I1: 8.. / H1 = 8 => 8 pairs (_) / I1 = 8 => 10 pairs (_) A4,A6: 8.. / A4 = 8 => 6 pairs (_) / A6 = 8 => 6 pairs (_) D8,H8: 8.. / D8 = 8 => 8 pairs (_) / H8 = 8 => 0 pairs (X) I1,I7: 8.. / I1 = 8 => 10 pairs (_) / I7 = 8 => 8 pairs (_) E1,F2: 9.. / E1 = 9 => 10 pairs (_) / F2 = 9 => 12 pairs (_) I1,I2: 9.. / I1 = 9 => 12 pairs (_) / I2 = 9 => 10 pairs (_) B5,B6: 9.. / B5 = 9 => 9 pairs (_) / B6 = 9 => 8 pairs (_) E1,I1: 9.. / E1 = 9 => 10 pairs (_) / I1 = 9 => 12 pairs (_) F2,I2: 9.. / F2 = 9 => 12 pairs (_) / I2 = 9 => 10 pairs (_) E1,E7: 9.. / E1 = 9 => 10 pairs (_) / E7 = 9 => 12 pairs (_) * DURATION: 0:00:06.697276 START: 14:46:31.332790 END: 14:46:38.030066 2025-04-04 * CP COUNT: (25) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:16.169954 START: 14:46:48.421529 END: 14:47:04.591483 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00047343-base-pr-002.dot * REASONING * DIS # A3: 4,6 # B4: 6,7 => CTR => B4: 4 * DIS # A3: 4,6 + B4: 4 # E9: 6,7 => CTR => E9: 4 * DIS # A3: 4,6 + B4: 4 + E9: 4 # D4: 2 => CTR => D4: 6,7 * PRF # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 # H6: 6,7 => SOL * STA # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 + H6: 6,7 * CNT 4 HDP CHAINS / 51 HYP OPENED
Header Info
rating: 9828; r2: 339577; index: 47343
Solution
position: 123456789457189236689327451241678593375914862896235174534792618712863945968541327 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* DIS # A1: 3,7 => CTR => A1: 1,5 * INC # A1: 1,5 => UNS * INC # C7: 3,7 => UNS * INC # C7: 4,6 => UNS * INC # F6: 5,9 => UNS * INC # F6: 2,4,8 => UNS * INC # H1: 5,7 => UNS * INC # H1: 1,8 => UNS * INC # A1: 5,7 => UNS * INC # A1: 1,3 => UNS * INC # G4: 5,7 => UNS * INC # G4: 4,6 => UNS * INC # D4: 2,8 => UNS * INC # F4: 2,8 => UNS * INC # D6: 2,8 => UNS * INC # F6: 2,8 => UNS * INC # F6: 4,9 => UNS * INC # F6: 2,5,8 => UNS * INC # B5: 4,9 => UNS * INC # B5: 3,6,7 => UNS * INC # F7: 4,9 => UNS * INC # F7: 1,2,8 => UNS * DIS # F7: 1,4 => CTR => F7: 2,8,9 * INC # F7: 2,8,9 => UNS * INC # B9: 1,4 => UNS * INC # I9: 1,4 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # A1: 3,7 => CTR => A1: 1,5 * INC A1: 1,5 # F6: 5,9 => UNS * INC A1: 1,5 # F6: 2,4,8 => UNS * INC A1: 1,5 # H1: 5,7 => UNS * INC A1: 1,5 # H1: 1,8 => UNS * INC A1: 1,5 # G4: 5,7 => UNS * INC A1: 1,5 # G4: 4,6 => UNS * INC A1: 1,5 # D4: 2,8 => UNS * INC A1: 1,5 # F4: 2,8 => UNS * INC A1: 1,5 # D6: 2,8 => UNS * INC A1: 1,5 # F6: 2,8 => UNS * INC A1: 1,5 # F6: 4,9 => UNS * INC A1: 1,5 # F6: 2,5,8 => UNS * INC A1: 1,5 # B5: 4,9 => UNS * INC A1: 1,5 # B5: 3,6,7 => UNS * INC A1: 1,5 # F7: 4,9 => UNS * INC A1: 1,5 # F7: 1,2,8 => UNS * DIS A1: 1,5 # F7: 1,4 => CTR => F7: 2,8,9 * INC A1: 1,5 + F7: 2,8,9 # A3: 1,5 => UNS * INC A1: 1,5 + F7: 2,8,9 # A3: 4,6 => UNS * INC A1: 1,5 + F7: 2,8,9 # H1: 1,5 => UNS * INC A1: 1,5 + F7: 2,8,9 # H1: 7,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # F6: 5,9 => UNS * INC A1: 1,5 + F7: 2,8,9 # F6: 2,4,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # H1: 5,7 => UNS * INC A1: 1,5 + F7: 2,8,9 # H1: 1,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # G4: 5,7 => UNS * INC A1: 1,5 + F7: 2,8,9 # G4: 4,6 => UNS * INC A1: 1,5 + F7: 2,8,9 # D4: 2,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # F4: 2,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # D6: 2,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # F6: 2,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # F6: 4,9 => UNS * INC A1: 1,5 + F7: 2,8,9 # F6: 2,5,8 => UNS * INC A1: 1,5 + F7: 2,8,9 # B5: 4,9 => UNS * INC A1: 1,5 + F7: 2,8,9 # B5: 3,6,7 => UNS * STA A1: 1,5 + F7: 2,8,9 * CNT 36 HDP CHAINS / 36 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,5 => UNS * INC # A3: 4,6 => UNS * INC # H1: 1,5 => UNS * INC # H1: 7,8 => UNS * INC # F6: 5,9 => UNS * INC # F6: 2,4,8 => UNS * INC # H1: 5,7 => UNS * INC # H1: 1,8 => UNS * INC # G4: 5,7 => UNS * INC # G4: 4,6 => UNS * INC # D4: 2,8 => UNS * INC # F4: 2,8 => UNS * INC # D6: 2,8 => UNS * INC # F6: 2,8 => UNS * INC # F6: 4,9 => UNS * INC # F6: 2,5,8 => UNS * INC # B5: 4,9 => UNS * INC # B5: 3,6,7 => UNS * INC # A3: 1,5 # F4: 2,8 => UNS * INC # A3: 1,5 # F4: 4 => UNS * INC # A3: 1,5 # F6: 2,8 => UNS * INC # A3: 1,5 # F6: 4 => UNS * INC # A3: 1,5 # H1: 1,8 => UNS * INC # A3: 1,5 # H1: 7 => UNS * INC # A3: 1,5 # I1: 1,8 => UNS * INC # A3: 1,5 # I1: 7 => UNS * INC # A3: 1,5 => UNS * INC # A3: 4,6 # A2: 4,6 => UNS * INC # A3: 4,6 # B2: 4,6 => UNS * INC # A3: 4,6 # C2: 4,6 => UNS * INC # A3: 4,6 # G3: 4,6 => UNS * INC # A3: 4,6 # H3: 4,6 => UNS * INC # A3: 4,6 # A8: 4,6 => UNS * INC # A3: 4,6 # A8: 7 => UNS * INC # A3: 4,6 # G3: 4,6 => UNS * INC # A3: 4,6 # H3: 4,6 => UNS * INC # A3: 4,6 # A2: 4,6 => UNS * INC # A3: 4,6 # B2: 4,6 => UNS * INC # A3: 4,6 # C2: 4,6 => UNS * INC # A3: 4,6 # I6: 4,6 => UNS * INC # A3: 4,6 # I9: 4,6 => UNS * INC # A3: 4,6 # D4: 6,7 => UNS * INC # A3: 4,6 # D5: 6,7 => UNS * INC # A3: 4,6 # D6: 6,7 => UNS * DIS # A3: 4,6 # B4: 6,7 => CTR => B4: 4 * INC # A3: 4,6 + B4: 4 # E8: 6,7 => UNS * DIS # A3: 4,6 + B4: 4 # E9: 6,7 => CTR => E9: 4 * INC # A3: 4,6 + B4: 4 + E9: 4 # D4: 6,7 => UNS * DIS # A3: 4,6 + B4: 4 + E9: 4 # D4: 2 => CTR => D4: 6,7 * PRF # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 # H6: 6,7 => SOL * STA # A3: 4,6 + B4: 4 + E9: 4 + D4: 6,7 + H6: 6,7 * CNT 50 HDP CHAINS / 51 HYP OPENED