Analysis of xx-mith-te3-00044872-base.sdk
Contents
Original Sudoku
level: hard
position: ..3..6......78.13..89..2....71.4..93......8.1..8.1.47..97..1.....4...3.783....91. initial
Autosolve
position: ..3..6......78.13..89..2....71.4..93.4....8.1..8.1.47..97..1.....4...3.783....91. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D3: 3,5 => CTR => D3: 1,4 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D3: 3,5 => CTR => D3: 1,4 * STA D3: 1,4 * CNT 1 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ..3..6......78.13..89.32....71.4..93.4....8.1..8.1.47..973.1.....4...3.783....91. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:15.091899
The following important HDP chains were detected:
* PRF # I1: 5,9 # A1: 1,4 => SOL * STA # I1: 5,9 + A1: 1,4 * CNT 1 HDP CHAINS / 71 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3..6......78.13..89..2....71.4..93......8.1..8.1.47..97..1.....4...3.783....91. | initial |
| ..3..6......78.13..89..2....71.4..93.4....8.1..8.1.47..97..1.....4...3.783....91. | autosolve |
| ..3..6......78.13..89.32....71.4..93.4....8.1..8.1.47..973.1.....4...3.783....91. | pair_reduction |
| 123456789456789132789132564271845693345697821968213475597361248614928357832574916 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) E1: 5,9 E3: 3,5 A5: 3,9 A6: 3,9 F4: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,D3: 1.. / D1 = 1 => 11 pairs (_) / D3 = 1 => 6 pairs (_) A8,B8: 1.. / A8 = 1 => 6 pairs (_) / B8 = 1 => 12 pairs (_) A3,D3: 1.. / A3 = 1 => 11 pairs (_) / D3 = 1 => 6 pairs (_) B1,B8: 1.. / B1 = 1 => 6 pairs (_) / B8 = 1 => 12 pairs (_) D3,E3: 3.. / D3 = 3 => 0 pairs (X) / E3 = 3 => 6 pairs (_) A5,A6: 3.. / A5 = 3 => 3 pairs (_) / A6 = 3 => 9 pairs (_) F5,F6: 3.. / F5 = 3 => 9 pairs (_) / F6 = 3 => 3 pairs (_) D7,E7: 3.. / D7 = 3 => 6 pairs (_) / E7 = 3 => 0 pairs (X) A5,F5: 3.. / A5 = 3 => 3 pairs (_) / F5 = 3 => 9 pairs (_) A6,F6: 3.. / A6 = 3 => 9 pairs (_) / F6 = 3 => 3 pairs (_) D3,D7: 3.. / D3 = 3 => 0 pairs (X) / D7 = 3 => 6 pairs (_) E3,E7: 3.. / E3 = 3 => 6 pairs (_) / E7 = 3 => 0 pairs (X) F2,F9: 4.. / F2 = 4 => 11 pairs (_) / F9 = 4 => 7 pairs (_) A1,A3: 7.. / A1 = 7 => 6 pairs (_) / A3 = 7 => 9 pairs (_) G1,G3: 7.. / G1 = 7 => 9 pairs (_) / G3 = 7 => 6 pairs (_) E5,F5: 7.. / E5 = 7 => 10 pairs (_) / F5 = 7 => 4 pairs (_) E9,F9: 7.. / E9 = 7 => 4 pairs (_) / F9 = 7 => 10 pairs (_) A1,G1: 7.. / A1 = 7 => 6 pairs (_) / G1 = 7 => 9 pairs (_) A3,G3: 7.. / A3 = 7 => 9 pairs (_) / G3 = 7 => 6 pairs (_) E5,E9: 7.. / E5 = 7 => 10 pairs (_) / E9 = 7 => 4 pairs (_) F5,F9: 7.. / F5 = 7 => 4 pairs (_) / F9 = 7 => 10 pairs (_) H1,I1: 8.. / H1 = 8 => 5 pairs (_) / I1 = 8 => 7 pairs (_) D4,F4: 8.. / D4 = 8 => 10 pairs (_) / F4 = 8 => 5 pairs (_) F4,F8: 8.. / F4 = 8 => 5 pairs (_) / F8 = 8 => 10 pairs (_) I1,I7: 8.. / I1 = 8 => 7 pairs (_) / I7 = 8 => 5 pairs (_) I1,I2: 9.. / I1 = 9 => 8 pairs (_) / I2 = 9 => 7 pairs (_) A5,A6: 9.. / A5 = 9 => 9 pairs (_) / A6 = 9 => 3 pairs (_) F2,I2: 9.. / F2 = 9 => 8 pairs (_) / I2 = 9 => 7 pairs (_) * DURATION: 0:00:07.780259 START: 14:32:05.688238 END: 14:32:13.468497 2025-04-04 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:14.871151 START: 14:32:23.042184 END: 14:32:37.913335 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00044872-base-pr-002.dot * REASONING * PRF # I1: 5,9 # A1: 1,4 => SOL * STA # I1: 5,9 + A1: 1,4 * CNT 1 HDP CHAINS / 71 HYP OPENED
Header Info
rating: 9297; r2: 191952; index: 44872
Solution
position: 123456789456789132789132564271845693345697821968213475597361248614928357832574916 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:
* INC # D1: 5,9 => UNS * INC # F2: 5,9 => UNS * INC # I1: 5,9 => UNS * INC # I1: 2,4,8 => UNS * INC # E5: 5,9 => UNS * INC # E8: 5,9 => UNS * DIS # D3: 3,5 => CTR => D3: 1,4 * INC # D3: 1,4 => UNS * INC # E7: 3,5 => UNS * INC # E7: 2,6 => UNS * INC # F5: 3,9 => UNS * INC # F5: 5,7 => UNS * INC # F6: 3,9 => UNS * INC # F6: 5 => UNS * INC # D4: 5,8 => UNS * INC # D4: 2,6 => UNS * INC # F8: 5,8 => UNS * INC # F8: 9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D1: 5,9 => UNS * INC # F2: 5,9 => UNS * INC # I1: 5,9 => UNS * INC # I1: 2,4,8 => UNS * INC # E5: 5,9 => UNS * INC # E8: 5,9 => UNS * DIS # D3: 3,5 => CTR => D3: 1,4 * INC D3: 1,4 # F5: 3,9 => UNS * INC D3: 1,4 # F5: 5,7 => UNS * INC D3: 1,4 # F6: 3,9 => UNS * INC D3: 1,4 # F6: 5 => UNS * INC D3: 1,4 # D4: 5,8 => UNS * INC D3: 1,4 # D4: 2,6 => UNS * INC D3: 1,4 # F8: 5,8 => UNS * INC D3: 1,4 # F8: 9 => UNS * INC D3: 1,4 # D1: 5,9 => UNS * INC D3: 1,4 # F2: 5,9 => UNS * INC D3: 1,4 # I1: 5,9 => UNS * INC D3: 1,4 # I1: 2,4,8 => UNS * INC D3: 1,4 # E5: 5,9 => UNS * INC D3: 1,4 # E8: 5,9 => UNS * INC D3: 1,4 # D1: 1,4 => UNS * INC D3: 1,4 # D1: 5,9 => UNS * INC D3: 1,4 # A3: 1,4 => UNS * INC D3: 1,4 # A3: 5,6,7 => UNS * INC D3: 1,4 # F5: 3,9 => UNS * INC D3: 1,4 # F5: 5,7 => UNS * INC D3: 1,4 # F6: 3,9 => UNS * INC D3: 1,4 # F6: 5 => UNS * INC D3: 1,4 # D4: 5,8 => UNS * INC D3: 1,4 # D4: 2,6 => UNS * INC D3: 1,4 # F8: 5,8 => UNS * INC D3: 1,4 # F8: 9 => UNS * INC D3: 1,4 # H1: 4,8 => UNS * INC D3: 1,4 # H1: 2,5 => UNS * INC D3: 1,4 # I1: 4,8 => UNS * INC D3: 1,4 # I1: 2,5,9 => UNS * STA D3: 1,4 * CNT 37 HDP CHAINS / 37 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D1: 5,9 => UNS * INC # F2: 5,9 => UNS * INC # I1: 5,9 => UNS * INC # I1: 2,4,8 => UNS * INC # E5: 5,9 => UNS * INC # E8: 5,9 => UNS * INC # D1: 1,4 => UNS * INC # D1: 5,9 => UNS * INC # A3: 1,4 => UNS * INC # A3: 5,6,7 => UNS * INC # F5: 3,9 => UNS * INC # F5: 5,7 => UNS * INC # F6: 3,9 => UNS * INC # F6: 5 => UNS * INC # D4: 5,8 => UNS * INC # D4: 2,6 => UNS * INC # F8: 5,8 => UNS * INC # F8: 9 => UNS * INC # H1: 4,8 => UNS * INC # H1: 2,5 => UNS * INC # I1: 4,8 => UNS * INC # I1: 2,5,9 => UNS * INC # D1: 5,9 # D5: 5,9 => UNS * INC # D1: 5,9 # D6: 5,9 => UNS * INC # D1: 5,9 # D8: 5,9 => UNS * INC # D1: 5,9 # E5: 5,9 => UNS * INC # D1: 5,9 # E8: 5,9 => UNS * INC # D1: 5,9 # F5: 3,9 => UNS * INC # D1: 5,9 # F5: 5,7 => UNS * INC # D1: 5,9 # F6: 3,9 => UNS * INC # D1: 5,9 # F6: 5 => UNS * INC # D1: 5,9 # D4: 5,8 => UNS * INC # D1: 5,9 # D4: 2,6 => UNS * INC # D1: 5,9 # F8: 5,8 => UNS * INC # D1: 5,9 # F8: 9 => UNS * INC # D1: 5,9 # E9: 5,7 => UNS * INC # D1: 5,9 # E9: 2,6 => UNS * INC # D1: 5,9 # F5: 5,7 => UNS * INC # D1: 5,9 # F5: 3,9 => UNS * INC # D1: 5,9 # H1: 4,8 => UNS * INC # D1: 5,9 # H1: 2 => UNS * INC # D1: 5,9 # I1: 4,8 => UNS * INC # D1: 5,9 # I1: 2 => UNS * INC # D1: 5,9 => UNS * INC # F2: 5,9 # A1: 1,4 => UNS * INC # F2: 5,9 # A1: 2,5,7 => UNS * INC # F2: 5,9 # I1: 5,9 => UNS * INC # F2: 5,9 # I1: 2,4,8 => UNS * INC # F2: 5,9 # E5: 5,9 => UNS * INC # F2: 5,9 # E8: 5,9 => UNS * INC # F2: 5,9 # I2: 5,9 => UNS * INC # F2: 5,9 # I2: 2,4,6 => UNS * INC # F2: 5,9 # F8: 5,9 => UNS * INC # F2: 5,9 # F8: 8 => UNS * INC # F2: 5,9 # A3: 1,4 => UNS * INC # F2: 5,9 # A3: 5,6,7 => UNS * INC # F2: 5,9 # D4: 5,8 => UNS * INC # F2: 5,9 # D4: 2,6 => UNS * INC # F2: 5,9 # F8: 5,8 => UNS * INC # F2: 5,9 # F8: 9 => UNS * INC # F2: 5,9 # H1: 4,8 => UNS * INC # F2: 5,9 # H1: 2,5 => UNS * INC # F2: 5,9 # I1: 4,8 => UNS * INC # F2: 5,9 # I1: 2,5,9 => UNS * INC # F2: 5,9 => UNS * INC # I1: 5,9 # A1: 1,2 => UNS * INC # I1: 5,9 # A1: 4,7 => UNS * INC # I1: 5,9 # B8: 1,2 => UNS * INC # I1: 5,9 # B8: 5,6 => UNS * PRF # I1: 5,9 # A1: 1,4 => SOL * STA # I1: 5,9 + A1: 1,4 * CNT 70 HDP CHAINS / 71 HYP OPENED