Analysis of xx-mith-te3-00107126-base.sdk
Contents
Original Sudoku
level: hard
position: 12..5.7...571..2..6.927.5.......16.8.16...925.....5.4......7....719.2...96.5..... initial
Autosolve
position: 12..5.7...571..2..6.927.5.......16.8.16...925...6.5.4......7....719.2...96.5..... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H9: 1 => CTR => H9: 3,7 * DIS # H7: 3,6 => CTR => H7: 1,5,9 * DIS # I7: 3,6 => CTR => I7: 1,2,9 * DIS # H8: 3,6 => CTR => H8: 5 * CNT 4 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H9: 1 => CTR => H9: 3,7 * STA H9: 3,7 * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 12..5.7...571..2..6.927.5.......16.8.16...925...6.5.4.....67....719.2.5696.51.... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:13.212206
The following important HDP chains were detected:
* DIS # H1: 6,9 # I7: 2 => CTR => I7: 1,9 * PRF # H1: 8 # C7: 3,4 => SOL * STA # H1: 8 + C7: 3,4 * CNT 2 HDP CHAINS / 50 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12..5.7...571..2..6.927.5.......16.8.16...925.....5.4......7....719.2...96.5..... | initial |
| 12..5.7...571..2..6.927.5.......16.8.16...925...6.5.4......7....719.2...96.5..... | autosolve |
| 12..5.7...571..2..6.927.5.......16.8.16...925...6.5.4.....67....719.2.5696.51.... | pair_reduction |
| 123456789457189263689273514245391678316748925798625341534867192871932456962514837 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) F1: 6,9 F2: 6,9 E4: 2,9 E6: 2,9 H4: 3,7 G6: 1,3 I8: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H3,I3: 1.. / H3 = 1 => 13 pairs (_) / I3 = 1 => 15 pairs (_) G6,I6: 1.. / G6 = 1 => 12 pairs (_) / I6 = 1 => 13 pairs (_) E7,E9: 1.. / E7 = 1 => 0 pairs (X) / E9 = 1 => 11 pairs (_) E4,E6: 2.. / E4 = 2 => 6 pairs (_) / E6 = 2 => 9 pairs (_) I7,I9: 2.. / I7 = 2 => 13 pairs (_) / I9 = 2 => 12 pairs (_) C9,I9: 2.. / C9 = 2 => 13 pairs (_) / I9 = 2 => 12 pairs (_) A4,C4: 5.. / A4 = 5 => 7 pairs (_) / C4 = 5 => 7 pairs (_) H7,H8: 5.. / H7 = 5 => 0 pairs (X) / H8 = 5 => 7 pairs (_) A8,H8: 5.. / A8 = 5 => 0 pairs (X) / H8 = 5 => 7 pairs (_) C4,C7: 5.. / C4 = 5 => 7 pairs (_) / C7 = 5 => 7 pairs (_) F1,F2: 6.. / F1 = 6 => 5 pairs (_) / F2 = 6 => 5 pairs (_) E7,E8: 6.. / E7 = 6 => 11 pairs (_) / E8 = 6 => 0 pairs (X) D4,D5: 7.. / D4 = 7 => 10 pairs (_) / D5 = 7 => 9 pairs (_) H4,I6: 7.. / H4 = 7 => 13 pairs (_) / I6 = 7 => 12 pairs (_) H9,I9: 7.. / H9 = 7 => 12 pairs (_) / I9 = 7 => 13 pairs (_) A5,D5: 7.. / A5 = 7 => 10 pairs (_) / D5 = 7 => 9 pairs (_) A6,I6: 7.. / A6 = 7 => 13 pairs (_) / I6 = 7 => 12 pairs (_) H4,H9: 7.. / H4 = 7 => 13 pairs (_) / H9 = 7 => 12 pairs (_) I6,I9: 7.. / I6 = 7 => 12 pairs (_) / I9 = 7 => 13 pairs (_) F1,F2: 9.. / F1 = 9 => 5 pairs (_) / F2 = 9 => 5 pairs (_) B4,B6: 9.. / B4 = 9 => 6 pairs (_) / B6 = 9 => 9 pairs (_) E4,E6: 9.. / E4 = 9 => 9 pairs (_) / E6 = 9 => 6 pairs (_) H7,I7: 9.. / H7 = 9 => 7 pairs (_) / I7 = 9 => 15 pairs (_) B4,E4: 9.. / B4 = 9 => 6 pairs (_) / E4 = 9 => 9 pairs (_) B6,E6: 9.. / B6 = 9 => 9 pairs (_) / E6 = 9 => 6 pairs (_) * DURATION: 0:00:08.823799 START: 17:07:45.792359 END: 17:07:54.616158 2025-04-06 * CP COUNT: (25) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:13.070100 START: 17:08:04.576839 END: 17:08:17.646939 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00107126-base-pr-002.dot * REASONING * DIS # H1: 6,9 # I7: 2 => CTR => I7: 1,9 * PRF # H1: 8 # C7: 3,4 => SOL * STA # H1: 8 + C7: 3,4 * CNT 2 HDP CHAINS / 50 HYP OPENED
Header Info
rating: 26893; r2: 738068; index: 107126
Solution
position: 123456789457189263689273514245391678316748925798625341534867192871932456962514837 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 # H1: 6,9 => UNS * INC # I1: 6,9 => UNS * INC # H2: 6,9 => UNS * INC # I2: 6,9 => UNS * INC # I6: 3,7 => UNS * INC # I6: 1 => UNS * INC # A4: 3,7 => UNS * INC # D4: 3,7 => UNS * INC # H9: 3,7 => UNS * DIS # H9: 1 => CTR => H9: 3,7 * INC # I6: 1,3 => UNS * INC # I6: 7 => UNS * INC # G7: 1,3 => UNS * INC # G9: 1,3 => UNS * DIS # H7: 3,6 => CTR => H7: 1,5,9 * INC # H7: 1,5,9 => UNS * DIS # I7: 3,6 => CTR => I7: 1,2,9 * INC # I7: 1,2,9 => UNS * DIS # H8: 3,6 => CTR => H8: 5 * INC # H8: 5 => UNS * INC # E8: 3,6 => UNS * INC # E8: 4,8 => UNS * INC # I1: 3,6 => UNS * INC # I2: 3,6 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 6,9 => UNS * INC # I1: 6,9 => UNS * INC # H2: 6,9 => UNS * INC # I2: 6,9 => UNS * INC # I6: 3,7 => UNS * INC # I6: 1 => UNS * INC # A4: 3,7 => UNS * INC # D4: 3,7 => UNS * INC # H9: 3,7 => UNS * DIS # H9: 1 => CTR => H9: 3,7 * INC H9: 3,7 # A4: 3,7 => UNS * INC H9: 3,7 # D4: 3,7 => UNS * INC H9: 3,7 # G7: 1,3 => UNS * INC H9: 3,7 # G7: 4,8 => UNS * INC H9: 3,7 # H1: 6,9 => UNS * INC H9: 3,7 # H1: 8 => UNS * INC H9: 3,7 # H2: 6,9 => UNS * INC H9: 3,7 # H2: 8 => UNS * INC H9: 3,7 # A4: 3,7 => UNS * INC H9: 3,7 # D4: 3,7 => UNS * INC H9: 3,7 # G7: 1,3 => UNS * INC H9: 3,7 # G7: 4,8 => UNS * INC H9: 3,7 # I7: 1,9 => UNS * INC H9: 3,7 # I7: 2 => UNS * STA H9: 3,7 * CNT 24 HDP CHAINS / 24 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 6,9 => UNS * INC # H1: 8 => UNS * INC # H2: 6,9 => UNS * INC # H2: 8 => UNS * INC # A4: 3,7 => UNS * INC # D4: 3,7 => UNS * INC # G7: 1,3 => UNS * INC # G7: 4,8 => UNS * INC # I7: 1,9 => UNS * INC # I7: 2 => UNS * INC # H1: 6,9 # H2: 6,9 => UNS * INC # H1: 6,9 # H2: 8 => UNS * INC # H1: 6,9 # H2: 6,9 => UNS * INC # H1: 6,9 # H2: 8 => UNS * INC # H1: 6,9 # I2: 3,4 => UNS * INC # H1: 6,9 # I3: 3,4 => UNS * INC # H1: 6,9 # C1: 3,4 => UNS * INC # H1: 6,9 # D1: 3,4 => UNS * INC # H1: 6,9 # A4: 3,7 => UNS * INC # H1: 6,9 # D4: 3,7 => UNS * INC # H1: 6,9 # G7: 1,3 => UNS * INC # H1: 6,9 # G7: 4,8 => UNS * INC # H1: 6,9 # I7: 1,9 => UNS * DIS # H1: 6,9 # I7: 2 => CTR => I7: 1,9 * INC # H1: 6,9 + I7: 1,9 # H2: 6,9 => UNS * INC # H1: 6,9 + I7: 1,9 # H2: 8 => UNS * INC # H1: 6,9 + I7: 1,9 # H2: 6,9 => UNS * INC # H1: 6,9 + I7: 1,9 # H2: 8 => UNS * INC # H1: 6,9 + I7: 1,9 # I2: 3,4 => UNS * INC # H1: 6,9 + I7: 1,9 # I3: 3,4 => UNS * INC # H1: 6,9 + I7: 1,9 # C1: 3,4 => UNS * INC # H1: 6,9 + I7: 1,9 # D1: 3,4 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 4,7 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 2,5 => UNS * INC # H1: 6,9 + I7: 1,9 # D5: 4,7 => UNS * INC # H1: 6,9 + I7: 1,9 # D5: 3,8 => UNS * INC # H1: 6,9 + I7: 1,9 # D5: 4,7 => UNS * INC # H1: 6,9 + I7: 1,9 # D5: 3,8 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 4,7 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 2,5 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 2,5 => UNS * INC # H1: 6,9 + I7: 1,9 # A4: 4,7 => UNS * INC # H1: 6,9 + I7: 1,9 # C4: 2,5 => UNS * INC # H1: 6,9 + I7: 1,9 # C4: 4 => UNS * INC # H1: 6,9 + I7: 1,9 => UNS * INC # H1: 8 # A2: 3,4 => UNS * INC # H1: 8 # B3: 3,4 => UNS * INC # H1: 8 # C4: 3,4 => UNS * PRF # H1: 8 # C7: 3,4 => SOL * STA # H1: 8 + C7: 3,4 * CNT 49 HDP CHAINS / 50 HYP OPENED