Analysis of xx-mith-te3-00048441-base.sdk
Contents
Original Sudoku
level: hard
position: .2.....89...18..36......5.4.6..18.7...8.......7132..6....27.3.171..63....32..16.7 initial
Autosolve
position: .2.....89...18..36......5.4.6..18.7...8.......7132..6....27.3.171..63....328.16.7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.094149
The following important HDP chains were detected:
* PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 1 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.....89...18..36......5.4.6..18.7...8.......7132..6....27.3.171..63....32..16.7 | initial |
| .2.....89...18..36......5.4.6..18.7...8.......7132..6....27.3.171..63....328.16.7 | autosolve |
| 123456789457189236896732514269518473348697125571324968684275391715963842932841657 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) A1: 1,6 B3: 8,9 E3: 3,9 G1: 1,7 G2: 2,7 H3: 1,2 A4: 2,3 A5: 2,3 D5: 6,7 F5: 6,7 I6: 5,8 A7: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 11 pairs (_) / A3 = 1 => 10 pairs (_) G1,H3: 1.. / G1 = 1 => 10 pairs (_) / H3 = 1 => 11 pairs (_) G5,H5: 1.. / G5 = 1 => 11 pairs (_) / H5 = 1 => 10 pairs (_) A1,G1: 1.. / A1 = 1 => 11 pairs (_) / G1 = 1 => 10 pairs (_) A3,H3: 1.. / A3 = 1 => 10 pairs (_) / H3 = 1 => 11 pairs (_) G1,G5: 1.. / G1 = 1 => 10 pairs (_) / G5 = 1 => 11 pairs (_) H3,H5: 1.. / H3 = 1 => 11 pairs (_) / H5 = 1 => 10 pairs (_) F2,F3: 2.. / F2 = 2 => 10 pairs (_) / F3 = 2 => 11 pairs (_) G2,H3: 2.. / G2 = 2 => 11 pairs (_) / H3 = 2 => 10 pairs (_) A4,A5: 2.. / A4 = 2 => 12 pairs (_) / A5 = 2 => 11 pairs (_) F2,G2: 2.. / F2 = 2 => 10 pairs (_) / G2 = 2 => 11 pairs (_) F3,H3: 2.. / F3 = 2 => 11 pairs (_) / H3 = 2 => 10 pairs (_) C1,C3: 3.. / C1 = 3 => 12 pairs (_) / C3 = 3 => 14 pairs (_) E1,E3: 3.. / E1 = 3 => 14 pairs (_) / E3 = 3 => 12 pairs (_) A4,A5: 3.. / A4 = 3 => 11 pairs (_) / A5 = 3 => 12 pairs (_) I4,I5: 3.. / I4 = 3 => 12 pairs (_) / I5 = 3 => 11 pairs (_) C1,E1: 3.. / C1 = 3 => 12 pairs (_) / E1 = 3 => 14 pairs (_) C3,E3: 3.. / C3 = 3 => 14 pairs (_) / E3 = 3 => 12 pairs (_) A4,I4: 3.. / A4 = 3 => 11 pairs (_) / I4 = 3 => 12 pairs (_) A5,I5: 3.. / A5 = 3 => 12 pairs (_) / I5 = 3 => 11 pairs (_) D5,F5: 6.. / D5 = 6 => 11 pairs (_) / F5 = 6 => 11 pairs (_) A7,C7: 6.. / A7 = 6 => 12 pairs (_) / C7 = 6 => 11 pairs (_) G1,G2: 7.. / G1 = 7 => 11 pairs (_) / G2 = 7 => 10 pairs (_) D5,F5: 7.. / D5 = 7 => 11 pairs (_) / F5 = 7 => 11 pairs (_) A3,B3: 8.. / A3 = 8 => 12 pairs (_) / B3 = 8 => 11 pairs (_) G6,I6: 8.. / G6 = 8 => 16 pairs (_) / I6 = 8 => 13 pairs (_) A7,B7: 8.. / A7 = 8 => 11 pairs (_) / B7 = 8 => 12 pairs (_) G8,I8: 8.. / G8 = 8 => 13 pairs (_) / I8 = 8 => 16 pairs (_) A3,A7: 8.. / A3 = 8 => 12 pairs (_) / A7 = 8 => 11 pairs (_) B3,B7: 8.. / B3 = 8 => 11 pairs (_) / B7 = 8 => 12 pairs (_) G6,G8: 8.. / G6 = 8 => 16 pairs (_) / G8 = 8 => 13 pairs (_) I6,I8: 8.. / I6 = 8 => 13 pairs (_) / I8 = 8 => 16 pairs (_) * DURATION: 0:00:10.300581 START: 15:12:00.256336 END: 15:12:10.556917 2025-04-04 * CP COUNT: (32) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:07.933510 START: 15:12:18.430113 END: 15:12:26.363623 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00048441-base-pr-002.dot * REASONING * PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 1 HDP CHAINS / 41 HYP OPENED
Header Info
rating: 10039; r2: 254594; index: 48441
Solution
position: 123456789457189236896732514269518473348697125571324968684275391715963842932841657 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 # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # F2: 2,7 => UNS * INC # F2: 4,5,9 => UNS * INC # H5: 1,2 => UNS * INC # H5: 4,5,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5 => UNS * INC # I5: 2,3 => UNS * INC # I5: 5 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # I8: 5,8 => UNS * INC # I8: 2 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # F2: 2,7 => UNS * INC # F2: 4,5,9 => UNS * INC # H5: 1,2 => UNS * INC # H5: 4,5,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5 => UNS * INC # I5: 2,3 => UNS * INC # I5: 5 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # I8: 5,8 => UNS * INC # I8: 2 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8 => UNS * INC # B7: 8,9 => UNS * INC # B7: 4,5 => UNS * INC # C3: 3,9 => UNS * INC # C3: 6,7 => UNS * INC # F2: 2,7 => UNS * INC # F2: 4,5,9 => UNS * INC # H5: 1,2 => UNS * INC # H5: 4,5,9 => UNS * INC # I4: 2,3 => UNS * INC # I4: 5 => UNS * INC # I5: 2,3 => UNS * INC # I5: 5 => UNS * INC # D1: 6,7 => UNS * INC # D3: 6,7 => UNS * INC # F1: 6,7 => UNS * INC # F3: 6,7 => UNS * INC # I8: 5,8 => UNS * INC # I8: 2 => UNS * INC # A3: 6,8 => UNS * INC # A3: 1 => UNS * INC # A3: 1,6 # C3: 3,9 => UNS * INC # A3: 1,6 # C3: 7 => UNS * INC # A3: 1,6 # F2: 2,7 => UNS * INC # A3: 1,6 # F2: 4,5,9 => UNS * INC # A3: 1,6 # H5: 1,2 => UNS * INC # A3: 1,6 # H5: 4,5,9 => UNS * INC # A3: 1,6 # I4: 2,3 => UNS * INC # A3: 1,6 # I4: 5 => UNS * INC # A3: 1,6 # I5: 2,3 => UNS * INC # A3: 1,6 # I5: 5 => UNS * INC # A3: 1,6 # D1: 6,7 => UNS * INC # A3: 1,6 # D3: 6,7 => UNS * INC # A3: 1,6 # F1: 6,7 => UNS * INC # A3: 1,6 # F3: 6,7 => UNS * INC # A3: 1,6 # I8: 5,8 => UNS * INC # A3: 1,6 # I8: 2 => UNS * INC # A3: 1,6 => UNS * PRF # A3: 8 # A6: 4,5 => SOL * STA # A3: 8 + A6: 4,5 * CNT 40 HDP CHAINS / 41 HYP OPENED