Analysis of xx-mith-te3-00037715-base.sdk
Contents
Original Sudoku
level: hard
position: ...4.67.94.7.892....927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. initial
Autosolve
position: ...4.67.94.7.892....927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I3: 5,6 => CTR => I3: 4,8 * CNT 1 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 # I3: 5,6 => CTR => I3: 4,8 * STA I3: 4,8 * CNT 1 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...4.67.94.7.892.6.6927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:14.001579
The following important HDP chains were detected:
* PRF # G3: 1,3 # E9: 1,3 => SOL * STA # G3: 1,3 + E9: 1,3 * CNT 1 HDP CHAINS / 49 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.67.94.7.892....927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. | initial |
| ...4.67.94.7.892....927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. | autosolve |
| ...4.67.94.7.892.6.6927........4.973.....75417.4...6....8......6.27.4.9.9....8.6. | pair_reduction |
| 123456789457189236869273154285641973396827541714395628548962317632714895971538462 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) I2: 5,6 C5: 3,6 H6: 2,8 I6: 2,8 B7: 4,7 B9: 4,7 D7: 6,9 E7: 6,9 I8: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 2.. / A1 = 2 => 10 pairs (_) / B1 = 2 => 9 pairs (_) F4,E5: 2.. / F4 = 2 => 9 pairs (_) / E5 = 2 => 14 pairs (_) H6,I6: 2.. / H6 = 2 => 11 pairs (_) / I6 = 2 => 10 pairs (_) F7,E9: 2.. / F7 = 2 => 14 pairs (_) / E9 = 2 => 9 pairs (_) E9,I9: 2.. / E9 = 2 => 9 pairs (_) / I9 = 2 => 14 pairs (_) E5,E9: 2.. / E5 = 2 => 14 pairs (_) / E9 = 2 => 9 pairs (_) F4,F7: 2.. / F4 = 2 => 9 pairs (_) / F7 = 2 => 14 pairs (_) H6,H7: 2.. / H6 = 2 => 11 pairs (_) / H7 = 2 => 10 pairs (_) G3,I3: 4.. / G3 = 4 => 13 pairs (_) / I3 = 4 => 8 pairs (_) B7,B9: 4.. / B7 = 4 => 8 pairs (_) / B9 = 4 => 8 pairs (_) B2,B3: 6.. / B2 = 6 => 0 pairs (X) / B3 = 6 => 8 pairs (_) I2,I3: 6.. / I2 = 6 => 8 pairs (_) / I3 = 6 => 0 pairs (X) C4,C5: 6.. / C4 = 6 => 11 pairs (_) / C5 = 6 => 8 pairs (_) D7,E7: 6.. / D7 = 6 => 10 pairs (_) / E7 = 6 => 9 pairs (_) B2,I2: 6.. / B2 = 6 => 0 pairs (X) / I2 = 6 => 8 pairs (_) B3,I3: 6.. / B3 = 6 => 8 pairs (_) / I3 = 6 => 0 pairs (X) C4,D4: 6.. / C4 = 6 => 11 pairs (_) / D4 = 6 => 8 pairs (_) E5,E7: 6.. / E5 = 6 => 10 pairs (_) / E7 = 6 => 9 pairs (_) B7,B9: 7.. / B7 = 7 => 8 pairs (_) / B9 = 7 => 8 pairs (_) I7,I9: 7.. / I7 = 7 => 8 pairs (_) / I9 = 7 => 8 pairs (_) B7,I7: 7.. / B7 = 7 => 8 pairs (_) / I7 = 7 => 8 pairs (_) B9,I9: 7.. / B9 = 7 => 8 pairs (_) / I9 = 7 => 8 pairs (_) D4,D5: 8.. / D4 = 8 => 12 pairs (_) / D5 = 8 => 10 pairs (_) H6,I6: 8.. / H6 = 8 => 10 pairs (_) / I6 = 8 => 11 pairs (_) G8,I8: 8.. / G8 = 8 => 10 pairs (_) / I8 = 8 => 10 pairs (_) G3,G8: 8.. / G3 = 8 => 10 pairs (_) / G8 = 8 => 10 pairs (_) B5,B6: 9.. / B5 = 9 => 9 pairs (_) / B6 = 9 => 11 pairs (_) D7,E7: 9.. / D7 = 9 => 9 pairs (_) / E7 = 9 => 10 pairs (_) * DURATION: 0:00:08.182571 START: 12:49:42.066796 END: 12:49:50.249367 2025-04-04 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:13.834606 START: 12:49:57.399597 END: 12:50:11.234203 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00037715-base-pr-002.dot * REASONING * PRF # G3: 1,3 # E9: 1,3 => SOL * STA # G3: 1,3 + E9: 1,3 * CNT 1 HDP CHAINS / 49 HYP OPENED
Header Info
rating: 7867; r2: 163743; index: 37715
Solution
position: 123456789457189236869273154285641973396827541714395628548962317632714895971538462 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 # I3: 5,6 => CTR => I3: 4,8 * INC # I3: 4,8 => UNS * INC # B2: 5,6 => UNS * INC # B2: 1,3 => UNS * INC # D5: 3,6 => UNS * INC # E5: 3,6 => UNS * INC # I7: 4,7 => UNS * INC # I7: 2,5 => UNS * INC # I9: 4,7 => UNS * INC # I9: 2,5 => UNS * INC # D5: 6,9 => UNS * INC # D5: 3,8 => UNS * INC # E5: 6,9 => UNS * INC # E5: 2,3 => UNS * INC # I3: 5,8 => UNS * INC # I3: 4,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # I3: 5,6 => CTR => I3: 4,8 * INC I3: 4,8 # D5: 3,6 => UNS * INC I3: 4,8 # E5: 3,6 => UNS * INC I3: 4,8 # I7: 4,7 => UNS * INC I3: 4,8 # I7: 2,5 => UNS * INC I3: 4,8 # I9: 4,7 => UNS * INC I3: 4,8 # I9: 2,5 => UNS * INC I3: 4,8 # D5: 6,9 => UNS * INC I3: 4,8 # D5: 3,8 => UNS * INC I3: 4,8 # E5: 6,9 => UNS * INC I3: 4,8 # E5: 2,3 => UNS * INC I3: 4,8 # G3: 4,8 => UNS * INC I3: 4,8 # G3: 1,3 => UNS * INC I3: 4,8 # D5: 3,6 => UNS * INC I3: 4,8 # E5: 3,6 => UNS * INC I3: 4,8 # I7: 4,7 => UNS * INC I3: 4,8 # I7: 2,5 => UNS * INC I3: 4,8 # I9: 4,7 => UNS * INC I3: 4,8 # I9: 2,5 => UNS * INC I3: 4,8 # D5: 6,9 => UNS * INC I3: 4,8 # D5: 3,8 => UNS * INC I3: 4,8 # E5: 6,9 => UNS * INC I3: 4,8 # E5: 2,3 => UNS * STA I3: 4,8 * CNT 23 HDP CHAINS / 23 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G3: 4,8 => UNS * INC # G3: 1,3 => UNS * INC # D5: 3,6 => UNS * INC # E5: 3,6 => UNS * INC # I7: 4,7 => UNS * INC # I7: 2,5 => UNS * INC # I9: 4,7 => UNS * INC # I9: 2,5 => UNS * INC # D5: 6,9 => UNS * INC # D5: 3,8 => UNS * INC # E5: 6,9 => UNS * INC # E5: 2,3 => UNS * INC # G3: 4,8 # A5: 2,8 => UNS * INC # G3: 4,8 # A5: 3 => UNS * INC # G3: 4,8 # B5: 2,8 => UNS * INC # G3: 4,8 # B5: 3,9 => UNS * INC # G3: 4,8 # D5: 3,6 => UNS * INC # G3: 4,8 # E5: 3,6 => UNS * INC # G3: 4,8 # I7: 4,7 => UNS * INC # G3: 4,8 # I7: 5 => UNS * INC # G3: 4,8 # I9: 4,7 => UNS * INC # G3: 4,8 # I9: 5 => UNS * INC # G3: 4,8 # D5: 6,9 => UNS * INC # G3: 4,8 # D5: 3,8 => UNS * INC # G3: 4,8 # E5: 6,9 => UNS * INC # G3: 4,8 # E5: 3 => UNS * INC # G3: 4,8 => UNS * INC # G3: 1,3 # H1: 1,3 => UNS * INC # G3: 1,3 # H2: 1,3 => UNS * INC # G3: 1,3 # H3: 1,3 => UNS * INC # G3: 1,3 # A3: 1,3 => UNS * INC # G3: 1,3 # F3: 1,3 => UNS * INC # G3: 1,3 # G7: 1,3 => UNS * INC # G3: 1,3 # G9: 1,3 => UNS * INC # G3: 1,3 # D5: 3,6 => UNS * INC # G3: 1,3 # E5: 3,6 => UNS * INC # G3: 1,3 # A7: 1,3 => UNS * INC # G3: 1,3 # C9: 1,3 => UNS * INC # G3: 1,3 # B1: 1,3 => UNS * INC # G3: 1,3 # B2: 1,3 => UNS * INC # G3: 1,3 # B6: 1,3 => UNS * INC # G3: 1,3 # D5: 6,9 => UNS * INC # G3: 1,3 # D5: 3,8 => UNS * INC # G3: 1,3 # E5: 6,9 => UNS * INC # G3: 1,3 # E5: 2,3 => UNS * INC # G3: 1,3 # F7: 1,3 => UNS * INC # G3: 1,3 # D9: 1,3 => UNS * PRF # G3: 1,3 # E9: 1,3 => SOL * STA # G3: 1,3 + E9: 1,3 * CNT 48 HDP CHAINS / 49 HYP OPENED