Analysis of xx-mith-te3-00130899-base.sdk
Contents
Original Sudoku
level: hard
position: 12.45.7..4..1.9....9..27..121....65....5..9..7.....3.85..79........45...94.2.1.7. initial
Autosolve
position: 12.45.7..4.71.9....9..27..121....65....5..9..7.....3.85..79.....7..45...94.2.1.7. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:06.340082
The following important HDP chains were detected:
* PRF # C6: 5,6 # C3: 3,8 => SOL * STA # C6: 5,6 + C3: 3,8 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12.45.7..4..1.9....9..27..121....65....5..9..7.....3.85..79........45...94.2.1.7. | initial |
| 12.45.7..4.71.9....9..27..121....65....5..9..7.....3.85..79.....7..45...94.2.1.7. | autosolve |
| 123456789457189236698327541219873654384562917765914328531798462872645193946231875 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) B6: 5,6 D6: 6,9 E6: 1,6 I4: 4,7 C7: 1,2 C8: 1,2 G9: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E5,E6: 1.. / E5 = 1 => 10 pairs (_) / E6 = 1 => 7 pairs (_) H5,H6: 1.. / H5 = 1 => 7 pairs (_) / H6 = 1 => 10 pairs (_) C7,C8: 1.. / C7 = 1 => 5 pairs (_) / C8 = 1 => 5 pairs (_) G7,G8: 1.. / G7 = 1 => 5 pairs (_) / G8 = 1 => 5 pairs (_) E5,H5: 1.. / E5 = 1 => 10 pairs (_) / H5 = 1 => 7 pairs (_) E6,H6: 1.. / E6 = 1 => 7 pairs (_) / H6 = 1 => 10 pairs (_) C7,G7: 1.. / C7 = 1 => 5 pairs (_) / G7 = 1 => 5 pairs (_) C8,G8: 1.. / C8 = 1 => 5 pairs (_) / G8 = 1 => 5 pairs (_) F5,F6: 2.. / F5 = 2 => 8 pairs (_) / F6 = 2 => 11 pairs (_) C7,C8: 2.. / C7 = 2 => 5 pairs (_) / C8 = 2 => 5 pairs (_) F6,H6: 2.. / F6 = 2 => 11 pairs (_) / H6 = 2 => 8 pairs (_) G3,H3: 4.. / G3 = 4 => 6 pairs (_) / H3 = 4 => 9 pairs (_) G3,G7: 4.. / G3 = 4 => 6 pairs (_) / G7 = 4 => 9 pairs (_) B2,C3: 5.. / B2 = 5 => 0 pairs (*) / C3 = 5 => 0 pairs (X) B6,C6: 5.. / B6 = 5 => 7 pairs (_) / C6 = 5 => 0 pairs (*) G9,I9: 5.. / G9 = 5 => 8 pairs (_) / I9 = 5 => 11 pairs (_) C3,G3: 5.. / C3 = 5 => 7 pairs (_) / G3 = 5 => 0 pairs (*) B2,B6: 5.. / B2 = 5 => 0 pairs (*) / B6 = 5 => 0 pairs (X) C3,C6: 5.. / C3 = 5 => 7 pairs (_) / C6 = 5 => 0 pairs (*) I2,I9: 5.. / I2 = 5 => 8 pairs (_) / I9 = 5 => 11 pairs (_) E4,E5: 7.. / E4 = 7 => 11 pairs (_) / E5 = 7 => 8 pairs (_) I4,I5: 7.. / I4 = 7 => 8 pairs (_) / I5 = 7 => 11 pairs (_) E4,I4: 7.. / E4 = 7 => 11 pairs (_) / I4 = 7 => 8 pairs (_) E5,I5: 7.. / E5 = 7 => 8 pairs (_) / I5 = 7 => 11 pairs (_) H1,I1: 9.. / H1 = 9 => 8 pairs (_) / I1 = 9 => 7 pairs (_) C4,C6: 9.. / C4 = 9 => 7 pairs (_) / C6 = 9 => 9 pairs (_) D4,D6: 9.. / D4 = 9 => 9 pairs (_) / D6 = 9 => 7 pairs (_) H8,I8: 9.. / H8 = 9 => 7 pairs (_) / I8 = 9 => 8 pairs (_) C4,D4: 9.. / C4 = 9 => 7 pairs (_) / D4 = 9 => 9 pairs (_) C6,D6: 9.. / C6 = 9 => 9 pairs (_) / D6 = 9 => 7 pairs (_) H1,H8: 9.. / H1 = 9 => 8 pairs (_) / H8 = 9 => 7 pairs (_) I1,I8: 9.. / I1 = 9 => 7 pairs (_) / I8 = 9 => 8 pairs (_) * DURATION: 0:00:09.253799 START: 20:04:55.547106 END: 20:05:04.800905 2025-04-06 * CP COUNT: (32) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.208575 START: 20:05:09.927193 END: 20:05:16.135768 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00130899-base-pr-002.dot * REASONING * PRF # C6: 5,6 # C3: 3,8 => SOL * STA # C6: 5,6 + C3: 3,8 * CNT 1 HDP CHAINS / 25 HYP OPENED
Header Info
rating: 34499; r2: 645904; index: 130899
Solution
position: 123456789457189236698327541219873654384562917765914328531798462872645193946231875 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 # C6: 5,6 => UNS * INC # C6: 4,9 => UNS * INC # B2: 5,6 => UNS * INC # B2: 3,8 => UNS * INC # C6: 6,9 => UNS * INC # C6: 4,5 => UNS * INC # E5: 1,6 => UNS * INC # E5: 3,7,8 => UNS * INC # I5: 4,7 => UNS * INC # I5: 2 => UNS * INC # G7: 1,2 => UNS * INC # G7: 4,8 => UNS * INC # G8: 1,2 => UNS * INC # G8: 8 => UNS * INC # G2: 5,8 => UNS * INC # G3: 5,8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C6: 5,6 => UNS * INC # C6: 4,9 => UNS * INC # B2: 5,6 => UNS * INC # B2: 3,8 => UNS * INC # C6: 6,9 => UNS * INC # C6: 4,5 => UNS * INC # E5: 1,6 => UNS * INC # E5: 3,7,8 => UNS * INC # I5: 4,7 => UNS * INC # I5: 2 => UNS * INC # G7: 1,2 => UNS * INC # G7: 4,8 => UNS * INC # G8: 1,2 => UNS * INC # G8: 8 => UNS * INC # G2: 5,8 => UNS * INC # G3: 5,8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C6: 5,6 => UNS * INC # C6: 4,9 => UNS * INC # B2: 5,6 => UNS * INC # B2: 3,8 => UNS * INC # C6: 6,9 => UNS * INC # C6: 4,5 => UNS * INC # E5: 1,6 => UNS * INC # E5: 3,7,8 => UNS * INC # I5: 4,7 => UNS * INC # I5: 2 => UNS * INC # G7: 1,2 => UNS * INC # G7: 4,8 => UNS * INC # G8: 1,2 => UNS * INC # G8: 8 => UNS * INC # G2: 5,8 => UNS * INC # G3: 5,8 => UNS * INC # C6: 5,6 # A3: 3,8 => UNS * INC # C6: 5,6 # A8: 3,8 => UNS * INC # C6: 5,6 # B2: 3,8 => UNS * INC # C6: 5,6 # B7: 3,8 => UNS * INC # C6: 5,6 # B2: 5,6 => UNS * INC # C6: 5,6 # B2: 3,8 => UNS * INC # C6: 5,6 # C3: 5,6 => UNS * PRF # C6: 5,6 # C3: 3,8 => SOL * STA # C6: 5,6 + C3: 3,8 * CNT 24 HDP CHAINS / 25 HYP OPENED