Analysis of xx-mith-te3-00015643-base.sdk
Contents
Original Sudoku
level: hard
position: ..3..6...4.7...2..68......5..5.671.3...3.265...651..72.........51.62.3.7...7.15.. initial
Autosolve
position: ..3..6...4.7...2..68......5..5.671.3...3.265...651..72.........51.62.3.7...7.15.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.425721
The following important HDP chains were detected:
* PRF # B1: 2 # B5: 4,9 => SOL * STA # B1: 2 + B5: 4,9 * CNT 1 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3..6...4.7...2..68......5..5.671.3...3.265...651..72.........51.62.3.7...7.15.. | initial |
| ..3..6...4.7...2..68......5..5.671.3...3.265...651..72.........51.62.3.7...7.15.. | autosolve |
| 123456789457189236689273415295867143741392658836514972372945861514628397968731524 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B2: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C3: 1.. / A1 = 1 => 5 pairs (_) / C3 = 1 => 2 pairs (_) A5,C5: 1.. / A5 = 1 => 2 pairs (_) / C5 = 1 => 5 pairs (_) H7,I7: 1.. / H7 = 1 => 6 pairs (_) / I7 = 1 => 1 pairs (_) A1,A5: 1.. / A1 = 1 => 5 pairs (_) / A5 = 1 => 2 pairs (_) C3,C5: 1.. / C3 = 1 => 2 pairs (_) / C5 = 1 => 5 pairs (_) D1,D3: 2.. / D1 = 2 => 13 pairs (_) / D3 = 2 => 2 pairs (_) A4,B4: 2.. / A4 = 2 => 3 pairs (_) / B4 = 2 => 7 pairs (_) H7,H9: 2.. / H7 = 2 => 3 pairs (_) / H9 = 2 => 1 pairs (_) C3,D3: 2.. / C3 = 2 => 13 pairs (_) / D3 = 2 => 2 pairs (_) H2,H3: 3.. / H2 = 3 => 3 pairs (_) / H3 = 3 => 6 pairs (_) A6,B6: 3.. / A6 = 3 => 4 pairs (_) / B6 = 3 => 2 pairs (_) B1,B2: 5.. / B1 = 5 => 6 pairs (_) / B2 = 5 => 3 pairs (_) E7,F7: 5.. / E7 = 5 => 7 pairs (_) / F7 = 5 => 1 pairs (_) B1,E1: 5.. / B1 = 5 => 6 pairs (_) / E1 = 5 => 3 pairs (_) F2,F7: 5.. / F2 = 5 => 7 pairs (_) / F7 = 5 => 1 pairs (_) H2,I2: 6.. / H2 = 6 => 6 pairs (_) / I2 = 6 => 3 pairs (_) B7,B9: 6.. / B7 = 6 => 3 pairs (_) / B9 = 6 => 3 pairs (_) E1,E3: 7.. / E1 = 7 => 6 pairs (_) / E3 = 7 => 2 pairs (_) G1,G3: 7.. / G1 = 7 => 2 pairs (_) / G3 = 7 => 6 pairs (_) A5,B5: 7.. / A5 = 7 => 9 pairs (_) / B5 = 7 => 1 pairs (_) A7,B7: 7.. / A7 = 7 => 1 pairs (_) / B7 = 7 => 9 pairs (_) E1,G1: 7.. / E1 = 7 => 6 pairs (_) / G1 = 7 => 2 pairs (_) E3,G3: 7.. / E3 = 7 => 2 pairs (_) / G3 = 7 => 6 pairs (_) A5,A7: 7.. / A5 = 7 => 9 pairs (_) / A7 = 7 => 1 pairs (_) B5,B7: 7.. / B5 = 7 => 1 pairs (_) / B7 = 7 => 9 pairs (_) * DURATION: 0:00:05.520970 START: 05:41:01.024391 END: 05:41:06.545361 2025-04-06 * CP COUNT: (25) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:11.256198 START: 05:41:07.740148 END: 05:41:18.996346 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00015643-base-pr-002.dot * REASONING * PRF # B1: 2 # B5: 4,9 => SOL * STA # B1: 2 + B5: 4,9 * CNT 1 HDP CHAINS / 45 HYP OPENED
Header Info
rating: 3453; r2: 54451; index: 15643
Solution
position: 123456789457189236689273415295867143741392658836514972372945861514628397968731524 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 # B1: 5,9 => UNS * INC # B1: 2 => UNS * INC # E2: 5,9 => UNS * INC # F2: 5,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 5,9 => UNS * INC # B1: 2 => UNS * INC # E2: 5,9 => UNS * INC # F2: 5,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 5,9 => UNS * INC # B1: 2 => UNS * INC # E2: 5,9 => UNS * INC # F2: 5,9 => UNS * INC # B1: 5,9 # D1: 1,2 => UNS * INC # B1: 5,9 # D1: 4,8,9 => UNS * INC # B1: 5,9 # E1: 5,9 => UNS * INC # B1: 5,9 # E1: 4,7,8 => UNS * INC # B1: 5,9 # E2: 5,9 => UNS * INC # B1: 5,9 # F2: 5,9 => UNS * INC # B1: 5,9 # D3: 1,2 => UNS * INC # B1: 5,9 # D3: 4,9 => UNS * INC # B1: 5,9 # B7: 2,4 => UNS * INC # B1: 5,9 # B9: 2,4 => UNS * INC # B1: 5,9 # B7: 4,7 => UNS * INC # B1: 5,9 # B7: 2,3,6 => UNS * INC # B1: 5,9 # B7: 3,4 => UNS * INC # B1: 5,9 # B9: 3,4 => UNS * INC # B1: 5,9 => UNS * INC # B1: 2 # D1: 1,9 => UNS * INC # B1: 2 # H1: 1,9 => UNS * INC # B1: 2 # I1: 1,9 => UNS * INC # B1: 2 # A5: 1,9 => UNS * INC # B1: 2 # A5: 7,8 => UNS * INC # B1: 2 # H3: 1,9 => UNS * INC # B1: 2 # H3: 3,4 => UNS * INC # B1: 2 # C5: 1,9 => UNS * INC # B1: 2 # C5: 4,8 => UNS * INC # B1: 2 # D1: 8,9 => UNS * INC # B1: 2 # D2: 8,9 => UNS * INC # B1: 2 # F2: 8,9 => UNS * INC # B1: 2 # H2: 8,9 => UNS * INC # B1: 2 # I2: 8,9 => UNS * INC # B1: 2 # E5: 8,9 => UNS * INC # B1: 2 # E7: 8,9 => UNS * INC # B1: 2 # E9: 8,9 => UNS * INC # B1: 2 # H1: 4,9 => UNS * INC # B1: 2 # I1: 4,9 => UNS * INC # B1: 2 # H3: 4,9 => UNS * INC # B1: 2 # F3: 4,9 => UNS * INC # B1: 2 # F3: 3 => UNS * INC # B1: 2 # G6: 4,9 => UNS * INC # B1: 2 # G7: 4,9 => UNS * PRF # B1: 2 # B5: 4,9 => SOL * STA # B1: 2 + B5: 4,9 * CNT 44 HDP CHAINS / 45 HYP OPENED