Analysis of xx-mith-te3-00134026-base.sdk
Contents
Original Sudoku
level: hard
position: 1..45.......7.91....8.31.........86..698..2.18.1.6..97..2...97.6.7....18.....7..2 initial
Autosolve
position: 1..45.......7.91....8.31.........86..6987.2.18.1.6..97..2...97.6.7....18.....7..2 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H2: 3,4,5 => CTR => H2: 2,8 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H2: 3,4,5 => CTR => H2: 2,8 * STA H2: 2,8 * CNT 1 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1..45.......7.91....8.31.........86..6987.2.18.1.6..97..2...97.6.7....189....7..2 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:17.630400
The following important HDP chains were detected:
* DIS # C2: 3,6 # B4: 4,5 => CTR => B4: 2,3,7 * PRF # C2: 3,6 + B4: 2,3,7 # G9: 4,5 => SOL * STA # C2: 3,6 + B4: 2,3,7 + G9: 4,5 * CNT 2 HDP CHAINS / 51 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..45.......7.91....8.31.........86..698..2.18.1.6..97..2...97.6.7....18.....7..2 | initial |
| 1..45.......7.91....8.31.........86..6987.2.18.1.6..97..2...97.6.7....18.....7..2 | autosolve |
| 1..45.......7.91....8.31.........86..6987.2.18.1.6..97..2...97.6.7....189....7..2 | pair_reduction |
| 123456789456789123798231645275193864369874251841562397512348976637925418984617532 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) C1: 3,6 F1: 6,8 E2: 2,8 D3: 2,6 D4: 1,9 E4: 1,9 B7: 1,8 B9: 1,8 F7: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E4: 1.. / D4 = 1 => 9 pairs (_) / E4 = 1 => 8 pairs (_) B7,B9: 1.. / B7 = 1 => 8 pairs (_) / B9 = 1 => 11 pairs (_) E2,D3: 2.. / E2 = 2 => 11 pairs (_) / D3 = 2 => 17 pairs (_) B1,H1: 2.. / B1 = 2 => 12 pairs (_) / H1 = 2 => 12 pairs (_) E2,E8: 2.. / E2 = 2 => 11 pairs (_) / E8 = 2 => 17 pairs (_) C1,C2: 6.. / C1 = 6 => 10 pairs (_) / C2 = 6 => 13 pairs (_) F1,D3: 6.. / F1 = 6 => 17 pairs (_) / D3 = 6 => 11 pairs (_) I7,G9: 6.. / I7 = 6 => 0 pairs (*) / G9 = 6 => 0 pairs (X) C2,I2: 6.. / C2 = 6 => 13 pairs (_) / I2 = 6 => 10 pairs (_) D9,G9: 6.. / D9 = 6 => 0 pairs (*) / G9 = 6 => 0 pairs (X) F1,F7: 6.. / F1 = 6 => 17 pairs (_) / F7 = 6 => 11 pairs (_) G1,G3: 7.. / G1 = 7 => 9 pairs (_) / G3 = 7 => 9 pairs (_) A4,B4: 7.. / A4 = 7 => 11 pairs (_) / B4 = 7 => 9 pairs (_) B1,G1: 7.. / B1 = 7 => 9 pairs (_) / G1 = 7 => 9 pairs (_) A3,A4: 7.. / A3 = 7 => 9 pairs (_) / A4 = 7 => 11 pairs (_) F1,E2: 8.. / F1 = 8 => 11 pairs (_) / E2 = 8 => 17 pairs (_) H1,H2: 8.. / H1 = 8 => 17 pairs (_) / H2 = 8 => 11 pairs (_) B7,B9: 8.. / B7 = 8 => 11 pairs (_) / B9 = 8 => 8 pairs (_) F1,H1: 8.. / F1 = 8 => 11 pairs (_) / H1 = 8 => 17 pairs (_) E2,H2: 8.. / E2 = 8 => 17 pairs (_) / H2 = 8 => 11 pairs (_) B9,E9: 8.. / B9 = 8 => 8 pairs (_) / E9 = 8 => 11 pairs (_) F1,F7: 8.. / F1 = 8 => 11 pairs (_) / F7 = 8 => 17 pairs (_) I1,I3: 9.. / I1 = 9 => 9 pairs (_) / I3 = 9 => 15 pairs (_) D4,E4: 9.. / D4 = 9 => 8 pairs (_) / E4 = 9 => 9 pairs (_) B8,A9: 9.. / B8 = 9 => 0 pairs (X) / A9 = 9 => 9 pairs (_) B1,I1: 9.. / B1 = 9 => 15 pairs (_) / I1 = 9 => 9 pairs (_) A3,A9: 9.. / A3 = 9 => 0 pairs (X) / A9 = 9 => 9 pairs (_) * DURATION: 0:00:08.792104 START: 10:56:08.467600 END: 10:56:17.259704 2025-04-05 * CP COUNT: (27) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:17.463951 START: 10:56:25.879176 END: 10:56:43.343127 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00134026-base-pr-002.dot * REASONING * DIS # C2: 3,6 # B4: 4,5 => CTR => B4: 2,3,7 * PRF # C2: 3,6 + B4: 2,3,7 # G9: 4,5 => SOL * STA # C2: 3,6 + B4: 2,3,7 + G9: 4,5 * CNT 2 HDP CHAINS / 51 HYP OPENED
Header Info
rating: 35496; r2: 650275; index: 134026
Solution
position: 123456789456789123798231645275193864369874251841562397512348976637925418984617532 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 # C2: 3,6 => UNS * INC # C2: 4,5 => UNS * INC # G1: 3,6 => UNS * INC # I1: 3,6 => UNS * INC # H2: 2,8 => UNS * DIS # H2: 3,4,5 => CTR => H2: 2,8 * INC # D9: 1,9 => UNS * INC # D9: 3,5,6 => UNS * INC # E9: 1,9 => UNS * INC # E9: 4,8 => UNS * INC # E7: 1,8 => UNS * INC # E7: 4 => UNS * INC # E9: 1,8 => UNS * INC # E9: 4,9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 3,6 => UNS * INC # C2: 4,5 => UNS * INC # G1: 3,6 => UNS * INC # I1: 3,6 => UNS * INC # H2: 2,8 => UNS * DIS # H2: 3,4,5 => CTR => H2: 2,8 * INC H2: 2,8 # E7: 1,8 => UNS * INC H2: 2,8 # E7: 4 => UNS * INC H2: 2,8 # E9: 1,8 => UNS * INC H2: 2,8 # E9: 4 => UNS * INC H2: 2,8 # C2: 3,6 => UNS * INC H2: 2,8 # C2: 4,5 => UNS * INC H2: 2,8 # G1: 3,6 => UNS * INC H2: 2,8 # I1: 3,6 => UNS * INC H2: 2,8 # B1: 2,7 => UNS * INC H2: 2,8 # B3: 2,7 => UNS * INC H2: 2,8 # H1: 2,8 => UNS * INC H2: 2,8 # H1: 3 => UNS * INC H2: 2,8 # G1: 3,6 => UNS * INC H2: 2,8 # I1: 3,6 => UNS * INC H2: 2,8 # C2: 3,6 => UNS * INC H2: 2,8 # C2: 4,5 => UNS * INC H2: 2,8 # I7: 3,6 => UNS * INC H2: 2,8 # I7: 4,5 => UNS * INC H2: 2,8 # B4: 2,7 => UNS * INC H2: 2,8 # B4: 3,4,5 => UNS * INC H2: 2,8 # E7: 1,8 => UNS * INC H2: 2,8 # E7: 4 => UNS * INC H2: 2,8 # E9: 1,8 => UNS * INC H2: 2,8 # E9: 4 => UNS * STA H2: 2,8 * CNT 30 HDP CHAINS / 30 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 3,6 => UNS * INC # C2: 4,5 => UNS * INC # G1: 3,6 => UNS * INC # I1: 3,6 => UNS * INC # B1: 2,7 => UNS * INC # B3: 2,7 => UNS * INC # H1: 2,8 => UNS * INC # H1: 3 => UNS * INC # G1: 3,6 => UNS * INC # I1: 3,6 => UNS * INC # C2: 3,6 => UNS * INC # C2: 4,5 => UNS * INC # I7: 3,6 => UNS * INC # I7: 4,5 => UNS * INC # B4: 2,7 => UNS * INC # B4: 3,4,5 => UNS * INC # E7: 1,8 => UNS * INC # E7: 4 => UNS * INC # E9: 1,8 => UNS * INC # E9: 4 => UNS * INC # C2: 3,6 # G1: 3,6 => UNS * INC # C2: 3,6 # I1: 3,6 => UNS * INC # C2: 3,6 # A5: 4,5 => UNS * INC # C2: 3,6 # A7: 4,5 => UNS * DIS # C2: 3,6 # B4: 4,5 => CTR => B4: 2,3,7 * INC # C2: 3,6 + B4: 2,3,7 # B6: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B8: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B6: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B8: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B1: 2,7 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B3: 2,7 => UNS * INC # C2: 3,6 + B4: 2,3,7 # H1: 2,8 => UNS * INC # C2: 3,6 + B4: 2,3,7 # H1: 3 => UNS * INC # C2: 3,6 + B4: 2,3,7 # G1: 3,6 => UNS * INC # C2: 3,6 + B4: 2,3,7 # I1: 3,6 => UNS * INC # C2: 3,6 + B4: 2,3,7 # I7: 3,6 => UNS * INC # C2: 3,6 + B4: 2,3,7 # I7: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B4: 2,7 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B4: 3 => UNS * INC # C2: 3,6 + B4: 2,3,7 # A5: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B6: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # F4: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # I4: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # E7: 1,8 => UNS * INC # C2: 3,6 + B4: 2,3,7 # E7: 4 => UNS * INC # C2: 3,6 + B4: 2,3,7 # E9: 1,8 => UNS * INC # C2: 3,6 + B4: 2,3,7 # E9: 4 => UNS * INC # C2: 3,6 + B4: 2,3,7 # A7: 4,5 => UNS * INC # C2: 3,6 + B4: 2,3,7 # B8: 4,5 => UNS * PRF # C2: 3,6 + B4: 2,3,7 # G9: 4,5 => SOL * STA # C2: 3,6 + B4: 2,3,7 + G9: 4,5 * CNT 50 HDP CHAINS / 51 HYP OPENED