Analysis of xx-mith-te3-00053795-base.sdk
Contents
Original Sudoku
level: hard
position: ....5678...718.2....82.7.1..46....5...5.62...93.....6..1.67.5..5...216.8........1 initial
Autosolve
position: ....5678...718.2....82.7.1..46....5...5.62...93.....6..1.67.5..5...216.8........1 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B9: 7,8 => CTR => B9: 2,6,9 * CNT 1 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 # B9: 7,8 => CTR => B9: 2,6,9 * STA B9: 2,6,9 * CNT 1 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ....5678...718.2....82.7.1..46....5..85.62...93.....6..1.67.52.57..216.8.......71 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:08.820905
The following important HDP chains were detected:
* DIS # C1: 2,9 # C9: 2,9 => CTR => C9: 3,4 * DIS # C1: 2,9 + C9: 3,4 # F2: 3,4 => CTR => F2: 9 * DIS # C1: 2,9 + C9: 3,4 + F2: 9 => CTR => C1: 1,3,4 * PRF C1: 1,3,4 # B2: 5,6 # C1: 3,4 => SOL * STA C1: 1,3,4 # B2: 5,6 + C1: 3,4 * CNT 4 HDP CHAINS / 46 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....5678...718.2....82.7.1..46....5...5.62...93.....6..1.67.5..5...216.8........1 | initial |
| ....5678...718.2....82.7.1..46....5...5.62...93.....6..1.67.5..5...216.8........1 | autosolve |
| ....5678...718.2....82.7.1..46....5..85.62...93.....6..1.67.52.57..216.8.......71 | pair_reduction |
| 123456789457189236698237415246813957785962143931745862319678524574321698862594371 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) B1: 2,9 I2: 5,6 I3: 5,6 B5: 7,8 C6: 1,2 E6: 1,4 B8: 7,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C1: 1.. / A1 = 1 => 11 pairs (_) / C1 = 1 => 11 pairs (_) E4,E6: 1.. / E4 = 1 => 11 pairs (_) / E6 = 1 => 12 pairs (_) A5,G5: 1.. / A5 = 1 => 12 pairs (_) / G5 = 1 => 14 pairs (_) C1,C6: 1.. / C1 = 1 => 11 pairs (_) / C6 = 1 => 11 pairs (_) A4,C6: 2.. / A4 = 2 => 11 pairs (_) / C6 = 2 => 11 pairs (_) I4,I6: 2.. / I4 = 2 => 11 pairs (_) / I6 = 2 => 11 pairs (_) H7,H9: 2.. / H7 = 2 => 7 pairs (_) / H9 = 2 => 0 pairs (X) A4,I4: 2.. / A4 = 2 => 11 pairs (_) / I4 = 2 => 11 pairs (_) C6,I6: 2.. / C6 = 2 => 11 pairs (_) / I6 = 2 => 11 pairs (_) B1,B9: 2.. / B1 = 2 => 6 pairs (_) / B9 = 2 => 15 pairs (_) B2,B3: 5.. / B2 = 5 => 7 pairs (_) / B3 = 5 => 7 pairs (_) I2,I3: 5.. / I2 = 5 => 7 pairs (_) / I3 = 5 => 7 pairs (_) D6,F6: 5.. / D6 = 5 => 9 pairs (_) / F6 = 5 => 8 pairs (_) D9,F9: 5.. / D9 = 5 => 8 pairs (_) / F9 = 5 => 9 pairs (_) B2,I2: 5.. / B2 = 5 => 7 pairs (_) / I2 = 5 => 7 pairs (_) B3,I3: 5.. / B3 = 5 => 7 pairs (_) / I3 = 5 => 7 pairs (_) D6,D9: 5.. / D6 = 5 => 9 pairs (_) / D9 = 5 => 8 pairs (_) F6,F9: 5.. / F6 = 5 => 8 pairs (_) / F9 = 5 => 9 pairs (_) I2,I3: 6.. / I2 = 6 => 7 pairs (_) / I3 = 6 => 7 pairs (_) A9,B9: 6.. / A9 = 6 => 16 pairs (_) / B9 = 6 => 7 pairs (_) H8,H9: 7.. / H8 = 7 => 0 pairs (X) / H9 = 7 => 6 pairs (_) D6,I6: 7.. / D6 = 7 => 11 pairs (_) / I6 = 7 => 10 pairs (_) B8,H8: 7.. / B8 = 7 => 6 pairs (_) / H8 = 7 => 0 pairs (X) A7,F7: 8.. / A7 = 8 => 9 pairs (_) / F7 = 8 => 11 pairs (_) B5,B9: 8.. / B5 = 8 => 7 pairs (_) / B9 = 8 => 0 pairs (X) * DURATION: 0:00:06.688989 START: 15:53:21.646071 END: 15:53:28.335060 2025-04-04 * CP COUNT: (25) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:08.682730 START: 15:53:37.847158 END: 15:53:46.529888 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00053795-base-pr-002.dot * REASONING * DIS # C1: 2,9 # C9: 2,9 => CTR => C9: 3,4 * DIS # C1: 2,9 + C9: 3,4 # F2: 3,4 => CTR => F2: 9 * DIS # C1: 2,9 + C9: 3,4 + F2: 9 => CTR => C1: 1,3,4 * PRF C1: 1,3,4 # B2: 5,6 # C1: 3,4 => SOL * STA C1: 1,3,4 # B2: 5,6 + C1: 3,4 * CNT 4 HDP CHAINS / 46 HYP OPENED
Header Info
rating: 10981; r2: 261130; index: 53795
Solution
position: 123456789457189236698237415246813957785962143931745862319678524574321698862594371 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 # C1: 2,9 => UNS * INC # C1: 1,3,4 => UNS * INC # B9: 2,9 => UNS * INC # B9: 6,7,8 => UNS * INC # B2: 5,6 => UNS * INC # B2: 9 => UNS * INC # B3: 5,6 => UNS * INC # B3: 9 => UNS * INC # A4: 7,8 => UNS * INC # A5: 7,8 => UNS * INC # D5: 7,8 => UNS * INC # D5: 3,4,9 => UNS * DIS # B9: 7,8 => CTR => B9: 2,6,9 * INC # B9: 2,6,9 => UNS * INC # A4: 1,2 => UNS * INC # A4: 7,8 => UNS * INC # C1: 1,2 => UNS * INC # C1: 3,4,9 => UNS * INC # G6: 1,4 => UNS * INC # G6: 8 => UNS * INC # B9: 7,9 => UNS * INC # B9: 2,6,8 => UNS * INC # H8: 7,9 => UNS * INC # H8: 3,4 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 2,9 => UNS * INC # C1: 1,3,4 => UNS * INC # B9: 2,9 => UNS * INC # B9: 6,7,8 => UNS * INC # B2: 5,6 => UNS * INC # B2: 9 => UNS * INC # B3: 5,6 => UNS * INC # B3: 9 => UNS * INC # A4: 7,8 => UNS * INC # A5: 7,8 => UNS * INC # D5: 7,8 => UNS * INC # D5: 3,4,9 => UNS * DIS # B9: 7,8 => CTR => B9: 2,6,9 * INC B9: 2,6,9 # A4: 1,2 => UNS * INC B9: 2,6,9 # A4: 7 => UNS * INC B9: 2,6,9 # C1: 1,2 => UNS * INC B9: 2,6,9 # C1: 3,4,9 => UNS * INC B9: 2,6,9 # G6: 1,4 => UNS * INC B9: 2,6,9 # G6: 8 => UNS * INC B9: 2,6,9 # C1: 2,9 => UNS * INC B9: 2,6,9 # C1: 1,3,4 => UNS * INC B9: 2,6,9 # B9: 2,9 => UNS * INC B9: 2,6,9 # B9: 6 => UNS * INC B9: 2,6,9 # B2: 5,6 => UNS * INC B9: 2,6,9 # B2: 9 => UNS * INC B9: 2,6,9 # B3: 5,6 => UNS * INC B9: 2,6,9 # B3: 9 => UNS * INC B9: 2,6,9 # A4: 1,7 => UNS * INC B9: 2,6,9 # A4: 2 => UNS * INC B9: 2,6,9 # A4: 1,2 => UNS * INC B9: 2,6,9 # A4: 7 => UNS * INC B9: 2,6,9 # C1: 1,2 => UNS * INC B9: 2,6,9 # C1: 3,4,9 => UNS * INC B9: 2,6,9 # G6: 1,4 => UNS * INC B9: 2,6,9 # G6: 8 => UNS * STA B9: 2,6,9 * CNT 35 HDP CHAINS / 35 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 2,9 => UNS * INC # C1: 1,3,4 => UNS * INC # B9: 2,9 => UNS * INC # B9: 6 => UNS * INC # B2: 5,6 => UNS * INC # B2: 9 => UNS * INC # B3: 5,6 => UNS * INC # B3: 9 => UNS * INC # A4: 1,7 => UNS * INC # A4: 2 => UNS * INC # A4: 1,2 => UNS * INC # A4: 7 => UNS * INC # C1: 1,2 => UNS * INC # C1: 3,4,9 => UNS * INC # G6: 1,4 => UNS * INC # G6: 8 => UNS * DIS # C1: 2,9 # C9: 2,9 => CTR => C9: 3,4 * DIS # C1: 2,9 + C9: 3,4 # F2: 3,4 => CTR => F2: 9 * DIS # C1: 2,9 + C9: 3,4 + F2: 9 => CTR => C1: 1,3,4 * INC C1: 1,3,4 # B2: 5,6 => UNS * INC C1: 1,3,4 # B2: 9 => UNS * INC C1: 1,3,4 # B3: 5,6 => UNS * INC C1: 1,3,4 # B3: 9 => UNS * INC C1: 1,3,4 # A4: 1,7 => UNS * INC C1: 1,3,4 # A4: 2 => UNS * INC C1: 1,3,4 # A4: 1,2 => UNS * INC C1: 1,3,4 # A4: 7 => UNS * INC C1: 1,3,4 # G6: 1,4 => UNS * INC C1: 1,3,4 # G6: 8 => UNS * INC C1: 1,3,4 # A9: 2,6 => UNS * INC C1: 1,3,4 # A9: 3,4,8 => UNS * INC C1: 1,3,4 # B2: 5,6 => UNS * INC C1: 1,3,4 # B2: 9 => UNS * INC C1: 1,3,4 # B3: 5,6 => UNS * INC C1: 1,3,4 # B3: 9 => UNS * INC C1: 1,3,4 # A4: 1,7 => UNS * INC C1: 1,3,4 # A4: 2 => UNS * INC C1: 1,3,4 # A4: 1,2 => UNS * INC C1: 1,3,4 # A4: 7 => UNS * INC C1: 1,3,4 # G6: 1,4 => UNS * INC C1: 1,3,4 # G6: 8 => UNS * INC C1: 1,3,4 # A9: 2,6 => UNS * INC C1: 1,3,4 # A9: 3,4,8 => UNS * INC C1: 1,3,4 # B2: 5,6 # A1: 3,4 => UNS * PRF C1: 1,3,4 # B2: 5,6 # C1: 3,4 => SOL * STA C1: 1,3,4 # B2: 5,6 + C1: 3,4 * CNT 45 HDP CHAINS / 46 HYP OPENED