Analysis of xx-mith-te3-00144226-base.sdk
Contents
Original Sudoku
level: hard
position: 12.........71.9...68.....5....59..73.......1..3..17..4...9.1.45...74.39...4.35..7 initial
Autosolve
position: 12......9..71.9...689....51...59..73.......1..3..17..4...9.1.45...74.39...4.351.7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.917823
The following important HDP chains were detected:
* PRF # A2: 4 # C4: 2,8 => SOL * STA # A2: 4 + C4: 2,8 * CNT 1 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12.........71.9...68.....5....59..73.......1..3..17..4...9.1.45...74.39...4.35..7 | initial |
| 12......9..71.9...689....51...59..73.......1..3..17..4...9.1.45...74.39...4.351.7 | autosolve |
| 123456789457189236689372451218594673745623918936817524372961845561748392894235167 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) C1: 3,5 B2: 4,5 E3: 2,7 G1: 4,7 G3: 4,7 G5: 5,9 G6: 5,9 B7: 6,7 B9: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,C4: 1.. / B4 = 1 => 10 pairs (_) / C4 = 1 => 10 pairs (_) B8,C8: 1.. / B8 = 1 => 10 pairs (_) / C8 = 1 => 10 pairs (_) B4,B8: 1.. / B4 = 1 => 10 pairs (_) / B8 = 1 => 10 pairs (_) C4,C8: 1.. / C4 = 1 => 10 pairs (_) / C8 = 1 => 10 pairs (_) C1,A2: 3.. / C1 = 3 => 9 pairs (_) / A2 = 3 => 12 pairs (_) D3,F3: 3.. / D3 = 3 => 10 pairs (_) / F3 = 3 => 11 pairs (_) H1,H2: 3.. / H1 = 3 => 12 pairs (_) / H2 = 3 => 9 pairs (_) D5,F5: 3.. / D5 = 3 => 11 pairs (_) / F5 = 3 => 10 pairs (_) A7,C7: 3.. / A7 = 3 => 9 pairs (_) / C7 = 3 => 12 pairs (_) C1,H1: 3.. / C1 = 3 => 9 pairs (_) / H1 = 3 => 12 pairs (_) A2,H2: 3.. / A2 = 3 => 12 pairs (_) / H2 = 3 => 9 pairs (_) A2,A7: 3.. / A2 = 3 => 12 pairs (_) / A7 = 3 => 9 pairs (_) C1,C7: 3.. / C1 = 3 => 9 pairs (_) / C7 = 3 => 12 pairs (_) D3,D5: 3.. / D3 = 3 => 10 pairs (_) / D5 = 3 => 11 pairs (_) F3,F5: 3.. / F3 = 3 => 11 pairs (_) / F5 = 3 => 10 pairs (_) A2,B2: 4.. / A2 = 4 => 9 pairs (_) / B2 = 4 => 10 pairs (_) G1,G3: 4.. / G1 = 4 => 15 pairs (_) / G3 = 4 => 8 pairs (_) E1,E2: 5.. / E1 = 5 => 9 pairs (_) / E2 = 5 => 12 pairs (_) G5,G6: 5.. / G5 = 5 => 13 pairs (_) / G6 = 5 => 7 pairs (_) C1,E1: 5.. / C1 = 5 => 12 pairs (_) / E1 = 5 => 9 pairs (_) E1,E3: 7.. / E1 = 7 => 15 pairs (_) / E3 = 7 => 8 pairs (_) G1,G3: 7.. / G1 = 7 => 8 pairs (_) / G3 = 7 => 15 pairs (_) A5,B5: 7.. / A5 = 7 => 8 pairs (_) / B5 = 7 => 13 pairs (_) A7,B7: 7.. / A7 = 7 => 13 pairs (_) / B7 = 7 => 8 pairs (_) E1,G1: 7.. / E1 = 7 => 15 pairs (_) / G1 = 7 => 8 pairs (_) E3,G3: 7.. / E3 = 7 => 8 pairs (_) / G3 = 7 => 15 pairs (_) A5,A7: 7.. / A5 = 7 => 8 pairs (_) / A7 = 7 => 13 pairs (_) B5,B7: 7.. / B5 = 7 => 13 pairs (_) / B7 = 7 => 8 pairs (_) G5,G6: 9.. / G5 = 9 => 7 pairs (_) / G6 = 9 => 13 pairs (_) A9,B9: 9.. / A9 = 9 => 11 pairs (_) / B9 = 9 => 9 pairs (_) A6,G6: 9.. / A6 = 9 => 7 pairs (_) / G6 = 9 => 13 pairs (_) B5,B9: 9.. / B5 = 9 => 11 pairs (_) / B9 = 9 => 9 pairs (_) * DURATION: 0:00:11.006837 START: 22:01:02.444663 END: 22:01:13.451500 2025-04-06 * CP COUNT: (32) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.754367 START: 22:01:18.943969 END: 22:01:31.698336 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00144226-base-pr-002.dot * REASONING * PRF # A2: 4 # C4: 2,8 => SOL * STA # A2: 4 + C4: 2,8 * CNT 1 HDP CHAINS / 45 HYP OPENED
Header Info
rating: 38444; r2: 815346; index: 144226
Solution
position: 123456789457189236689372451218594673745623918936817524372961845561748392894235167 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 # A2: 3,5 => UNS * INC # A2: 4 => UNS * INC # A2: 4,5 => UNS * INC # A2: 3 => UNS * INC # B5: 4,5 => UNS * INC # B5: 6,7,9 => UNS * INC # A5: 5,9 => UNS * INC # B5: 5,9 => UNS * INC # A6: 5,9 => UNS * INC # A6: 2,8 => UNS * INC # B5: 6,7 => UNS * INC # B5: 4,5,9 => UNS * INC # B5: 6,9 => UNS * INC # B5: 4,5,7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 3,5 => UNS * INC # A2: 4 => UNS * INC # A2: 4,5 => UNS * INC # A2: 3 => UNS * INC # B5: 4,5 => UNS * INC # B5: 6,7,9 => UNS * INC # A5: 5,9 => UNS * INC # B5: 5,9 => UNS * INC # A6: 5,9 => UNS * INC # A6: 2,8 => UNS * INC # B5: 6,7 => UNS * INC # B5: 4,5,9 => UNS * INC # B5: 6,9 => UNS * INC # B5: 4,5,7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 3,5 => UNS * INC # A2: 4 => UNS * INC # A2: 4,5 => UNS * INC # A2: 3 => UNS * INC # B5: 4,5 => UNS * INC # B5: 6,7,9 => UNS * INC # A5: 5,9 => UNS * INC # B5: 5,9 => UNS * INC # A6: 5,9 => UNS * INC # A6: 2,8 => UNS * INC # B5: 6,7 => UNS * INC # B5: 4,5,9 => UNS * INC # B5: 6,9 => UNS * INC # B5: 4,5,7 => UNS * INC # A2: 3,5 # C4: 1,6 => UNS * INC # A2: 3,5 # C4: 2,8 => UNS * INC # A2: 3,5 # B8: 1,6 => UNS * INC # A2: 3,5 # B8: 5 => UNS * INC # A2: 3,5 # A5: 5,9 => UNS * INC # A2: 3,5 # B5: 5,9 => UNS * INC # A2: 3,5 # A6: 5,9 => UNS * INC # A2: 3,5 # A6: 2,8 => UNS * INC # A2: 3,5 # B5: 6,7 => UNS * INC # A2: 3,5 # B5: 5,9 => UNS * INC # A2: 3,5 # B5: 6,9 => UNS * INC # A2: 3,5 # B5: 5,7 => UNS * INC # A2: 3,5 => UNS * INC # A2: 4 # D1: 6,8 => UNS * INC # A2: 4 # F1: 6,8 => UNS * INC # A2: 4 # G2: 6,8 => UNS * INC # A2: 4 # I2: 6,8 => UNS * INC # A2: 4 # E5: 6,8 => UNS * INC # A2: 4 # E7: 6,8 => UNS * INC # A2: 4 # D5: 2,3 => UNS * INC # A2: 4 # D5: 4,6,8 => UNS * INC # A2: 4 # F5: 2,3 => UNS * INC # A2: 4 # F5: 4,6,8 => UNS * INC # A2: 4 # G2: 6,8 => UNS * INC # A2: 4 # I2: 6,8 => UNS * INC # A2: 4 # D1: 6,8 => UNS * INC # A2: 4 # F1: 6,8 => UNS * INC # A2: 4 # H6: 6,8 => UNS * INC # A2: 4 # H9: 6,8 => UNS * PRF # A2: 4 # C4: 2,8 => SOL * STA # A2: 4 + C4: 2,8 * CNT 44 HDP CHAINS / 45 HYP OPENED