Analysis of xx-mith-te3-00148130-base.sdk
Contents
Original Sudoku
level: hard
position: 1..45.....5.78........3156.21..9.65.3.........9.....2.5.2...31..61..3.9593...52.6 initial
Autosolve
position: 1..45.....5.78........3156.21..9.65.3.........9.....2.5.2...31..61..3.9593...52.6 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F1: 2,9 => CTR => F1: 6 * DIS # D6: 3,8 => CTR => D6: 1,5,6 * DIS # D5: 1,8 => CTR => D5: 2,5,6 * CNT 3 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # F1: 2,9 => CTR => F1: 6 * DIS F1: 6 # D6: 3,8 => CTR => D6: 1,5,6 * DIS F1: 6 + D6: 1,5,6 # D5: 1,8 => CTR => D5: 2,5,6 * STA F1: 6 + D6: 1,5,6 + D5: 2,5,6 * CNT 3 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1..456....5.78........3156.21.39.65.3.........9.....235.2...31..61..3.9593...52.6 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:02.853857
The following important HDP chains were detected:
* PRF # C2: 4,6 # A6: 4,6 => SOL * STA # C2: 4,6 + A6: 4,6 * CNT 1 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..45.....5.78........3156.21..9.65.3.........9.....2.5.2...31..61..3.9593...52.6 | initial |
| 1..45.....5.78........3156.21..9.65.3.........9.....2.5.2...31..61..3.9593...52.6 | autosolve |
| 1..456....5.78........3156.21.39.65.3.........9.....235.2...31..61..3.9593...52.6 | pair_reduction |
| 123456789456789132879231564214398657385672941697514823542967318761823495938145276 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) A2: 4,6 D3: 2,9 H2: 3,4 D4: 3,8 D8: 2,8 D9: 1,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,I2: 1.. / G2 = 1 => 6 pairs (_) / I2 = 1 => 11 pairs (_) D9,E9: 1.. / D9 = 1 => 6 pairs (_) / E9 = 1 => 9 pairs (_) B1,B3: 2.. / B1 = 2 => 7 pairs (_) / B3 = 2 => 15 pairs (_) D8,E8: 2.. / D8 = 2 => 12 pairs (_) / E8 = 2 => 8 pairs (_) F2,I2: 2.. / F2 = 2 => 12 pairs (_) / I2 = 2 => 7 pairs (_) E5,E8: 2.. / E5 = 2 => 12 pairs (_) / E8 = 2 => 8 pairs (_) C1,C2: 3.. / C1 = 3 => 8 pairs (_) / C2 = 3 => 10 pairs (_) H1,H2: 3.. / H1 = 3 => 10 pairs (_) / H2 = 3 => 8 pairs (_) D4,D6: 3.. / D4 = 3 => 5 pairs (_) / D6 = 3 => 0 pairs (X) I4,I6: 3.. / I4 = 3 => 0 pairs (X) / I6 = 3 => 5 pairs (_) C1,H1: 3.. / C1 = 3 => 8 pairs (_) / H1 = 3 => 10 pairs (_) C2,H2: 3.. / C2 = 3 => 10 pairs (_) / H2 = 3 => 8 pairs (_) D4,I4: 3.. / D4 = 3 => 5 pairs (_) / I4 = 3 => 0 pairs (X) D6,I6: 3.. / D6 = 3 => 0 pairs (X) / I6 = 3 => 5 pairs (_) C5,C6: 5.. / C5 = 5 => 5 pairs (_) / C6 = 5 => 6 pairs (_) D5,D6: 5.. / D5 = 5 => 6 pairs (_) / D6 = 5 => 5 pairs (_) C5,D5: 5.. / C5 = 5 => 5 pairs (_) / D5 = 5 => 6 pairs (_) C6,D6: 5.. / C6 = 5 => 6 pairs (_) / D6 = 5 => 5 pairs (_) F1,F2: 6.. / F1 = 6 => 7 pairs (_) / F2 = 6 => 0 pairs (X) D7,E7: 6.. / D7 = 6 => 14 pairs (_) / E7 = 6 => 9 pairs (_) C1,F1: 6.. / C1 = 6 => 0 pairs (X) / F1 = 6 => 7 pairs (_) A2,A6: 6.. / A2 = 6 => 8 pairs (_) / A6 = 6 => 0 pairs (*) G5,I5: 9.. / G5 = 9 => 8 pairs (_) / I5 = 9 => 6 pairs (_) D7,F7: 9.. / D7 = 9 => 13 pairs (_) / F7 = 9 => 12 pairs (_) D3,D7: 9.. / D3 = 9 => 12 pairs (_) / D7 = 9 => 13 pairs (_) * DURATION: 0:00:06.292910 START: 14:23:06.499978 END: 14:23:12.792888 2025-04-05 * CP COUNT: (25) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:02.747766 START: 14:23:19.720361 END: 14:23:22.468127 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00148130-base-pr-002.dot * REASONING * PRF # C2: 4,6 # A6: 4,6 => SOL * STA # C2: 4,6 + A6: 4,6 * CNT 1 HDP CHAINS / 12 HYP OPENED
Header Info
rating: 39795; r2: 789808; index: 148130
Solution
position: 123456789456789132879231564214398657385672941697514823542967318761823495938145276 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: 4,6 => UNS * INC # C2: 3,9 => UNS * INC # A6: 4,6 => UNS * INC # A6: 7,8 => UNS * DIS # F1: 2,9 => CTR => F1: 6 * INC # F1: 6 => UNS * INC # F2: 2,9 => UNS * INC # I3: 2,9 => UNS * INC # I3: 4,7,8 => UNS * INC # C2: 3,4 => UNS * INC # C2: 6,9 => UNS * DIS # D6: 3,8 => CTR => D6: 1,5,6 * INC # D6: 1,5,6 => UNS * INC # I4: 3,8 => UNS * INC # I4: 4,7 => UNS * INC # D5: 2,8 => UNS * INC # D5: 1,5,6 => UNS * DIS # D5: 1,8 => CTR => D5: 2,5,6 * INC # D5: 2,5,6 => UNS * INC # D6: 1,8 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 4,6 => UNS * INC # C2: 3,9 => UNS * INC # A6: 4,6 => UNS * INC # A6: 7,8 => UNS * DIS # F1: 2,9 => CTR => F1: 6 * INC F1: 6 # I3: 2,9 => UNS * INC F1: 6 # I3: 4,7,8 => UNS * INC F1: 6 # C2: 3,4 => UNS * INC F1: 6 # C2: 6,9 => UNS * DIS F1: 6 # D6: 3,8 => CTR => D6: 1,5,6 * INC F1: 6 + D6: 1,5,6 # D5: 2,8 => UNS * INC F1: 6 + D6: 1,5,6 # D5: 1,5,6 => UNS * DIS F1: 6 + D6: 1,5,6 # D5: 1,8 => CTR => D5: 2,5,6 * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # C2: 4,6 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # C2: 3,9 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # A6: 4,6 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # A6: 7,8 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # I2: 2,9 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # I2: 1,4 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # I3: 2,9 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # I3: 4,7,8 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # C2: 3,4 => UNS * INC F1: 6 + D6: 1,5,6 + D5: 2,5,6 # C2: 6,9 => UNS * STA F1: 6 + D6: 1,5,6 + D5: 2,5,6 * CNT 23 HDP CHAINS / 23 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 4,6 => UNS * INC # C2: 3,9 => UNS * INC # A6: 4,6 => UNS * INC # A6: 7,8 => UNS * INC # I2: 2,9 => UNS * INC # I2: 1,4 => UNS * INC # I3: 2,9 => UNS * INC # I3: 4,7,8 => UNS * INC # C2: 3,4 => UNS * INC # C2: 6,9 => UNS * PRF # C2: 4,6 # A6: 4,6 => SOL * STA # C2: 4,6 + A6: 4,6 * CNT 11 HDP CHAINS / 12 HYP OPENED