Analysis of xx-mith-te3-00056078-base.sdk
Contents
Original Sudoku
level: hard
position: ...45..8945........897......9.....35.7...58.45....397....5.43.88..31....93.268... initial
Autosolve
position: ...45..8945........897......9.....35.7...58.45....397....5.43.88..31....93.268... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # E2: 2,3 => CTR => E2: 8,9 * DIS # I2: 1,7 => CTR => I2: 2,3,6 * CNT 2 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # E2: 2,3 => CTR => E2: 8,9 * STA E2: 8,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...45..8945......3.8973.....9.....35.7...58.45....397....5.43.88..31....93.268... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:06.306637
The following important HDP chains were detected:
* PRF # D2: 1,6 # H2: 1,6 => SOL * STA # D2: 1,6 + H2: 1,6 * CNT 1 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...45..8945........897......9.....35.7...58.45....397....5.43.88..31....93.268... | initial |
| ...45..8945........897......9.....35.7...58.45....397....5.43.88..31....93.268... | autosolve |
| ...45..8945......3.8973.....9.....35.7...58.45....397....5.43.88..31....93.268... | pair_reduction |
| 123456789457189263689732451294871635376925814518643972761594328842317596935268147 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) E3: 2,3 G3: 4,5 H3: 4,5 E5: 2,9 E7: 7,9 F8: 7,9 I9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C1: 3.. / A1 = 3 => 10 pairs (_) / C1 = 3 => 7 pairs (_) E2,E3: 3.. / E2 = 3 => 0 pairs (X) / E3 = 3 => 6 pairs (_) I2,I3: 3.. / I2 = 3 => 6 pairs (_) / I3 = 3 => 0 pairs (X) A5,C5: 3.. / A5 = 3 => 7 pairs (_) / C5 = 3 => 10 pairs (_) E2,I2: 3.. / E2 = 3 => 0 pairs (X) / I2 = 3 => 6 pairs (_) E3,I3: 3.. / E3 = 3 => 6 pairs (_) / I3 = 3 => 0 pairs (X) A1,A5: 3.. / A1 = 3 => 10 pairs (_) / A5 = 3 => 7 pairs (_) C1,C5: 3.. / C1 = 3 => 7 pairs (_) / C5 = 3 => 10 pairs (_) G3,H3: 4.. / G3 = 4 => 6 pairs (_) / H3 = 4 => 6 pairs (_) E4,E6: 4.. / E4 = 4 => 10 pairs (_) / E6 = 4 => 8 pairs (_) C4,E4: 4.. / C4 = 4 => 8 pairs (_) / E4 = 4 => 10 pairs (_) B6,B8: 4.. / B6 = 4 => 0 pairs (X) / B8 = 4 => 9 pairs (_) G3,H3: 5.. / G3 = 5 => 6 pairs (_) / H3 = 5 => 6 pairs (_) C8,C9: 5.. / C8 = 5 => 7 pairs (_) / C9 = 5 => 9 pairs (_) E4,F4: 7.. / E4 = 7 => 9 pairs (_) / F4 = 7 => 10 pairs (_) E7,F8: 7.. / E7 = 7 => 10 pairs (_) / F8 = 7 => 9 pairs (_) A1,A7: 7.. / A1 = 7 => 7 pairs (_) / A7 = 7 => 9 pairs (_) E4,E7: 7.. / E4 = 7 => 9 pairs (_) / E7 = 7 => 10 pairs (_) F4,F8: 7.. / F4 = 7 => 10 pairs (_) / F8 = 7 => 9 pairs (_) D2,E2: 8.. / D2 = 8 => 13 pairs (_) / E2 = 8 => 7 pairs (_) C4,C6: 8.. / C4 = 8 => 10 pairs (_) / C6 = 8 => 9 pairs (_) D5,E5: 9.. / D5 = 9 => 8 pairs (_) / E5 = 9 => 10 pairs (_) E7,F8: 9.. / E7 = 9 => 9 pairs (_) / F8 = 9 => 10 pairs (_) H7,H8: 9.. / H7 = 9 => 10 pairs (_) / H8 = 9 => 9 pairs (_) E7,H7: 9.. / E7 = 9 => 9 pairs (_) / H7 = 9 => 10 pairs (_) F8,H8: 9.. / F8 = 9 => 10 pairs (_) / H8 = 9 => 9 pairs (_) D2,D5: 9.. / D2 = 9 => 10 pairs (_) / D5 = 9 => 8 pairs (_) F2,F8: 9.. / F2 = 9 => 9 pairs (_) / F8 = 9 => 10 pairs (_) * DURATION: 0:00:08.087161 START: 09:10:13.287572 END: 09:10:21.374733 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.105662 START: 09:10:26.987105 END: 09:10:33.092767 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00056078-base-pr-002.dot * REASONING * PRF # D2: 1,6 # H2: 1,6 => SOL * STA # D2: 1,6 + H2: 1,6 * CNT 1 HDP CHAINS / 23 HYP OPENED
Header Info
rating: 11559; r2: 320613; index: 56078
Solution
position: 123456789457189263689732451294871635376925814518643972761594328842317596935268147 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 # E2: 2,3 => CTR => E2: 8,9 * INC # E2: 8,9 => UNS * INC # I3: 2,3 => UNS * INC # I3: 1,6 => UNS * INC # G8: 4,5 => UNS * INC # G9: 4,5 => UNS * INC # H8: 4,5 => UNS * INC # H9: 4,5 => UNS * INC # E2: 2,9 => UNS * INC # E2: 3,8 => UNS * INC # G9: 1,7 => UNS * INC # G9: 4,5 => UNS * INC # C9: 1,7 => UNS * INC # C9: 4,5 => UNS * DIS # I2: 1,7 => CTR => I2: 2,3,6 * INC # I2: 2,3,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # E2: 2,3 => CTR => E2: 8,9 * INC E2: 8,9 # G8: 4,5 => UNS * INC E2: 8,9 # G9: 4,5 => UNS * INC E2: 8,9 # H8: 4,5 => UNS * INC E2: 8,9 # H9: 4,5 => UNS * INC E2: 8,9 # C9: 1,7 => UNS * INC E2: 8,9 # C9: 4,5 => UNS * INC E2: 8,9 # D2: 8,9 => UNS * INC E2: 8,9 # D2: 1,6 => UNS * INC E2: 8,9 # G8: 4,5 => UNS * INC E2: 8,9 # G9: 4,5 => UNS * INC E2: 8,9 # H8: 4,5 => UNS * INC E2: 8,9 # H9: 4,5 => UNS * INC E2: 8,9 # C9: 1,7 => UNS * INC E2: 8,9 # C9: 4,5 => UNS * STA E2: 8,9 * CNT 15 HDP CHAINS / 15 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D2: 8,9 => UNS * INC # D2: 1,6 => UNS * INC # G8: 4,5 => UNS * INC # G9: 4,5 => UNS * INC # H8: 4,5 => UNS * INC # H9: 4,5 => UNS * INC # C9: 1,7 => UNS * INC # C9: 4,5 => UNS * INC # D2: 8,9 # G9: 4,5 => UNS * INC # D2: 8,9 # G9: 1 => UNS * INC # D2: 8,9 # H9: 4,5 => UNS * INC # D2: 8,9 # H9: 1 => UNS * INC # D2: 8,9 # E4: 4,8 => UNS * INC # D2: 8,9 # E4: 2 => UNS * INC # D2: 8,9 # E6: 4,8 => UNS * INC # D2: 8,9 # E6: 2 => UNS * INC # D2: 8,9 => UNS * INC # D2: 1,6 # F1: 1,6 => UNS * INC # D2: 1,6 # F3: 1,6 => UNS * INC # D2: 1,6 # C2: 1,6 => UNS * INC # D2: 1,6 # G2: 1,6 => UNS * PRF # D2: 1,6 # H2: 1,6 => SOL * STA # D2: 1,6 + H2: 1,6 * CNT 22 HDP CHAINS / 23 HYP OPENED