Analysis of xx-mith-te3-00054319-base.sdk
Contents
Original Sudoku
level: hard
position: .23....8.45..89........2...24......739.....1......345.58..249...3...58.....83.5.. initial
Autosolve
position: .23....8945..89...8.93.2.4524....39739.....1......345.58..249...3...58..9..83.5.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.068725
The following important HDP chains were detected:
* PRF # D5: 2,6,7 # E6: 1,6 => SOL * STA # D5: 2,6,7 + E6: 1,6 * CNT 1 HDP CHAINS / 39 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23....8.45..89........2...24......739.....1......345.58..249...3...58.....83.5.. | initial |
| .23....8945..89...8.93.2.4524....39739.....1......345.58..249...3...58..9..83.5.. | autosolve |
| 123456789457189236869372145246518397395247618718963452581624973634795821972831564 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) D1: 4,5 E1: 4,5 G5: 2,6 C8: 2,4 C9: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,D6: 2.. / D5 = 2 => 12 pairs (_) / D6 = 2 => 6 pairs (_) C8,C9: 2.. / C8 = 2 => 4 pairs (_) / C9 = 2 => 4 pairs (_) D6,I6: 2.. / D6 = 2 => 6 pairs (_) / I6 = 2 => 12 pairs (_) G2,G5: 2.. / G2 = 2 => 13 pairs (_) / G5 = 2 => 9 pairs (_) H2,I2: 3.. / H2 = 3 => 9 pairs (_) / I2 = 3 => 7 pairs (_) H7,I7: 3.. / H7 = 3 => 7 pairs (_) / I7 = 3 => 9 pairs (_) H2,H7: 3.. / H2 = 3 => 9 pairs (_) / H7 = 3 => 7 pairs (_) I2,I7: 3.. / I2 = 3 => 7 pairs (_) / I7 = 3 => 9 pairs (_) D1,E1: 4.. / D1 = 4 => 4 pairs (_) / E1 = 4 => 5 pairs (_) D5,E5: 4.. / D5 = 4 => 5 pairs (_) / E5 = 4 => 4 pairs (_) C8,C9: 4.. / C8 = 4 => 4 pairs (_) / C9 = 4 => 4 pairs (_) I8,I9: 4.. / I8 = 4 => 4 pairs (_) / I9 = 4 => 4 pairs (_) C8,I8: 4.. / C8 = 4 => 4 pairs (_) / I8 = 4 => 4 pairs (_) C9,I9: 4.. / C9 = 4 => 4 pairs (_) / I9 = 4 => 4 pairs (_) D1,D5: 4.. / D1 = 4 => 4 pairs (_) / D5 = 4 => 5 pairs (_) E1,E5: 4.. / E1 = 4 => 5 pairs (_) / E5 = 4 => 4 pairs (_) D1,E1: 5.. / D1 = 5 => 5 pairs (_) / E1 = 5 => 4 pairs (_) C4,C5: 5.. / C4 = 5 => 13 pairs (_) / C5 = 5 => 5 pairs (_) F4,F5: 8.. / F4 = 8 => 6 pairs (_) / F5 = 8 => 9 pairs (_) I5,I6: 8.. / I5 = 8 => 7 pairs (_) / I6 = 8 => 9 pairs (_) C4,F4: 8.. / C4 = 8 => 9 pairs (_) / F4 = 8 => 6 pairs (_) C6,I6: 8.. / C6 = 8 => 7 pairs (_) / I6 = 8 => 9 pairs (_) D6,E6: 9.. / D6 = 9 => 0 pairs (*) / E6 = 9 => 0 pairs (X) D8,E8: 9.. / D8 = 9 => 5 pairs (_) / E8 = 9 => 0 pairs (*) D6,D8: 9.. / D6 = 9 => 0 pairs (*) / D8 = 9 => 0 pairs (X) E6,E8: 9.. / E6 = 9 => 5 pairs (_) / E8 = 9 => 0 pairs (*) * DURATION: 0:00:09.202726 START: 16:06:20.639922 END: 16:06:29.842648 2025-04-04 * CP COUNT: (26) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:08.931115 START: 16:06:35.343770 END: 16:06:44.274885 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00054319-base-pr-002.dot * REASONING * PRF # D5: 2,6,7 # E6: 1,6 => SOL * STA # D5: 2,6,7 + E6: 1,6 * CNT 1 HDP CHAINS / 39 HYP OPENED
Header Info
rating: 11100; r2: 347234; index: 54319
Solution
position: 123456789457189236869372145246518397395247618718963452581624973634795821972831564 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 # D5: 4,5 => UNS * INC # D5: 2,6,7 => UNS * INC # E5: 4,5 => UNS * INC # E5: 6,7 => UNS * INC # I5: 2,6 => UNS * INC # I6: 2,6 => UNS * INC # D5: 2,6 => UNS * INC # D5: 4,5,7 => UNS * INC # G2: 2,6 => UNS * INC # G2: 1,7 => UNS * INC # I8: 2,4 => UNS * INC # I8: 1,6 => UNS * INC # I9: 2,4 => UNS * INC # I9: 1,6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 4,5 => UNS * INC # D5: 2,6,7 => UNS * INC # E5: 4,5 => UNS * INC # E5: 6,7 => UNS * INC # I5: 2,6 => UNS * INC # I6: 2,6 => UNS * INC # D5: 2,6 => UNS * INC # D5: 4,5,7 => UNS * INC # G2: 2,6 => UNS * INC # G2: 1,7 => UNS * INC # I8: 2,4 => UNS * INC # I8: 1,6 => UNS * INC # I9: 2,4 => UNS * INC # I9: 1,6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 4,5 => UNS * INC # D5: 2,6,7 => UNS * INC # E5: 4,5 => UNS * INC # E5: 6,7 => UNS * INC # I5: 2,6 => UNS * INC # I6: 2,6 => UNS * INC # D5: 2,6 => UNS * INC # D5: 4,5,7 => UNS * INC # G2: 2,6 => UNS * INC # G2: 1,7 => UNS * INC # I8: 2,4 => UNS * INC # I8: 1,6 => UNS * INC # I9: 2,4 => UNS * INC # I9: 1,6 => UNS * INC # D5: 4,5 # E5: 4,5 => UNS * INC # D5: 4,5 # E5: 6,7 => UNS * INC # D5: 4,5 # E4: 1,6 => UNS * INC # D5: 4,5 # F4: 1,6 => UNS * INC # D5: 4,5 # D2: 1,6 => UNS * INC # D5: 4,5 # D7: 1,6 => UNS * INC # D5: 4,5 # E5: 4,5 => UNS * INC # D5: 4,5 # E5: 6,7 => UNS * INC # D5: 4,5 # I5: 2,6 => UNS * INC # D5: 4,5 # I5: 8 => UNS * INC # D5: 4,5 # G2: 2,6 => UNS * INC # D5: 4,5 # G2: 1,7 => UNS * INC # D5: 4,5 # I5: 6,8 => UNS * INC # D5: 4,5 # I5: 2 => UNS * INC # D5: 4,5 # C6: 6,8 => UNS * INC # D5: 4,5 # C6: 1,7 => UNS * INC # D5: 4,5 # I8: 2,4 => UNS * INC # D5: 4,5 # I8: 1,6 => UNS * INC # D5: 4,5 # I9: 2,4 => UNS * INC # D5: 4,5 # I9: 1,6 => UNS * INC # D5: 4,5 => UNS * INC # D5: 2,6,7 # F4: 1,6 => UNS * INC # D5: 2,6,7 # D6: 1,6 => UNS * PRF # D5: 2,6,7 # E6: 1,6 => SOL * STA # D5: 2,6,7 + E6: 1,6 * CNT 38 HDP CHAINS / 39 HYP OPENED