Analysis of xx-mith-te3-00047519-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3...78.4..18..36....3.1.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... initial
Autosolve
position: 1.3...78.4..18..36....3.1.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C3: 5,7 => CTR => C3: 6,8 * CNT 1 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 # C3: 5,7 => CTR => C3: 6,8 * STA C3: 6,8 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3...78.4.718..36....371.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:27.243608
The following important HDP chains were detected:
* DIS # A3: 2,9 # H3: 2,9 => CTR => H3: 5 * DIS # A3: 2,9 + H3: 5 # F9: 9 => CTR => F9: 2,4 * PRF # A3: 2,9 + H3: 5 + F9: 2,4 # B1: 2,9 => SOL * STA # A3: 2,9 + H3: 5 + F9: 2,4 + B1: 2,9 * CNT 3 HDP CHAINS / 75 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3...78.4..18..36....3.1.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... | initial |
| 1.3...78.4..18..36....3.1.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... | autosolve |
| 1.3...78.4.718..36....371.4...74.8.....8....7.7..614.3319...6..5.2......76..1.... | pair_reduction |
| 123456789457189236986237154291743865634825917875961423319572648542698371768314592 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) C2: 5,7 D1: 4,6 F1: 4,6 C6: 5,8 B8: 4,8 C9: 4,8 E8: 7,9 G8: 3,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,C5: 1.. / C4 = 1 => 9 pairs (_) / C5 = 1 => 11 pairs (_) H8,I8: 1.. / H8 = 1 => 0 pairs (X) / I8 = 1 => 10 pairs (_) C5,H5: 1.. / C5 = 1 => 11 pairs (_) / H5 = 1 => 9 pairs (_) I4,I8: 1.. / I4 = 1 => 0 pairs (X) / I8 = 1 => 10 pairs (_) B4,B5: 3.. / B4 = 3 => 8 pairs (_) / B5 = 3 => 11 pairs (_) F4,F5: 3.. / F4 = 3 => 11 pairs (_) / F5 = 3 => 8 pairs (_) D8,D9: 3.. / D8 = 3 => 9 pairs (_) / D9 = 3 => 7 pairs (_) G8,G9: 3.. / G8 = 3 => 7 pairs (_) / G9 = 3 => 9 pairs (_) B4,F4: 3.. / B4 = 3 => 8 pairs (_) / F4 = 3 => 11 pairs (_) B5,F5: 3.. / B5 = 3 => 11 pairs (_) / F5 = 3 => 8 pairs (_) D8,G8: 3.. / D8 = 3 => 9 pairs (_) / G8 = 3 => 7 pairs (_) D9,G9: 3.. / D9 = 3 => 7 pairs (_) / G9 = 3 => 9 pairs (_) D1,F1: 4.. / D1 = 4 => 6 pairs (_) / F1 = 4 => 6 pairs (_) B5,C5: 4.. / B5 = 4 => 11 pairs (_) / C5 = 4 => 7 pairs (_) B8,C9: 4.. / B8 = 4 => 7 pairs (_) / C9 = 4 => 11 pairs (_) B5,B8: 4.. / B5 = 4 => 11 pairs (_) / B8 = 4 => 7 pairs (_) C5,C9: 4.. / C5 = 4 => 7 pairs (_) / C9 = 4 => 11 pairs (_) A3,C3: 6.. / A3 = 6 => 14 pairs (_) / C3 = 6 => 8 pairs (_) D1,F1: 6.. / D1 = 6 => 6 pairs (_) / F1 = 6 => 6 pairs (_) H4,H5: 6.. / H4 = 6 => 10 pairs (_) / H5 = 6 => 11 pairs (_) D8,F8: 6.. / D8 = 6 => 6 pairs (_) / F8 = 6 => 6 pairs (_) D1,D8: 6.. / D1 = 6 => 6 pairs (_) / D8 = 6 => 6 pairs (_) F1,F8: 6.. / F1 = 6 => 6 pairs (_) / F8 = 6 => 6 pairs (_) C2,C3: 7.. / C2 = 7 => 7 pairs (_) / C3 = 7 => 0 pairs (X) F2,F3: 7.. / F2 = 7 => 0 pairs (X) / F3 = 7 => 7 pairs (_) E7,E8: 7.. / E7 = 7 => 12 pairs (_) / E8 = 7 => 8 pairs (_) H7,H8: 7.. / H7 = 7 => 8 pairs (_) / H8 = 7 => 12 pairs (_) C2,F2: 7.. / C2 = 7 => 7 pairs (_) / F2 = 7 => 0 pairs (X) C3,F3: 7.. / C3 = 7 => 0 pairs (X) / F3 = 7 => 7 pairs (_) E7,H7: 7.. / E7 = 7 => 12 pairs (_) / H7 = 7 => 8 pairs (_) E8,H8: 7.. / E8 = 7 => 8 pairs (_) / H8 = 7 => 12 pairs (_) A6,C6: 8.. / A6 = 8 => 10 pairs (_) / C6 = 8 => 11 pairs (_) B8,C9: 8.. / B8 = 8 => 11 pairs (_) / C9 = 8 => 7 pairs (_) F7,I7: 8.. / F7 = 8 => 9 pairs (_) / I7 = 8 => 9 pairs (_) A3,A6: 8.. / A3 = 8 => 11 pairs (_) / A6 = 8 => 10 pairs (_) B3,B8: 8.. / B3 = 8 => 7 pairs (_) / B8 = 8 => 11 pairs (_) * DURATION: 0:00:10.364588 START: 08:27:33.173355 END: 08:27:43.537943 2025-04-06 * CP COUNT: (36) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:27.059458 START: 08:27:52.281771 END: 08:28:19.341229 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00047519-base-pr-002.dot * REASONING * DIS # A3: 2,9 # H3: 2,9 => CTR => H3: 5 * DIS # A3: 2,9 + H3: 5 # F9: 9 => CTR => F9: 2,4 * PRF # A3: 2,9 + H3: 5 + F9: 2,4 # B1: 2,9 => SOL * STA # A3: 2,9 + H3: 5 + F9: 2,4 + B1: 2,9 * CNT 3 HDP CHAINS / 75 HYP OPENED
Header Info
rating: 9850; r2: 258789; index: 47519
Solution
position: 123456789457189236986237154291743865634825917875961423319572648542698371768314592 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:
* DIS # C3: 5,7 => CTR => C3: 6,8 * INC # C3: 6,8 => UNS * INC # F2: 5,7 => UNS * INC # F2: 2,9 => UNS * INC # D8: 4,6 => UNS * INC # D8: 3,9 => UNS * INC # F8: 4,6 => UNS * INC # F8: 8,9 => UNS * INC # C3: 5,8 => UNS * INC # C3: 6,7 => UNS * INC # F8: 4,8 => UNS * INC # F8: 6,9 => UNS * INC # F9: 4,8 => UNS * INC # F9: 2,5,9 => UNS * INC # H8: 7,9 => UNS * INC # H8: 1,4 => UNS * INC # G9: 3,9 => UNS * INC # G9: 2,5 => UNS * INC # D8: 3,9 => UNS * INC # D8: 4,6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # C3: 5,7 => CTR => C3: 6,8 * INC C3: 6,8 # D8: 4,6 => UNS * INC C3: 6,8 # D8: 3,9 => UNS * INC C3: 6,8 # F8: 4,6 => UNS * INC C3: 6,8 # F8: 8,9 => UNS * INC C3: 6,8 # F8: 4,8 => UNS * INC C3: 6,8 # F8: 6,9 => UNS * INC C3: 6,8 # F9: 4,8 => UNS * INC C3: 6,8 # F9: 2,5,9 => UNS * INC C3: 6,8 # H8: 7,9 => UNS * INC C3: 6,8 # H8: 1,4 => UNS * INC C3: 6,8 # G9: 3,9 => UNS * INC C3: 6,8 # G9: 2,5 => UNS * INC C3: 6,8 # D8: 3,9 => UNS * INC C3: 6,8 # D8: 4,6 => UNS * INC C3: 6,8 # A3: 6,8 => UNS * INC C3: 6,8 # A3: 2,9 => UNS * INC C3: 6,8 # D8: 4,6 => UNS * INC C3: 6,8 # D8: 3,9 => UNS * INC C3: 6,8 # F8: 4,6 => UNS * INC C3: 6,8 # F8: 8,9 => UNS * INC C3: 6,8 # F8: 4,8 => UNS * INC C3: 6,8 # F8: 6,9 => UNS * INC C3: 6,8 # F9: 4,8 => UNS * INC C3: 6,8 # F9: 2,5,9 => UNS * INC C3: 6,8 # H8: 7,9 => UNS * INC C3: 6,8 # H8: 1,4 => UNS * INC C3: 6,8 # G9: 3,9 => UNS * INC C3: 6,8 # G9: 2,5 => UNS * INC C3: 6,8 # D8: 3,9 => UNS * INC C3: 6,8 # D8: 4,6 => UNS * STA C3: 6,8 * CNT 31 HDP CHAINS / 31 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 6,8 => UNS * INC # A3: 2,9 => UNS * INC # D8: 4,6 => UNS * INC # D8: 3,9 => UNS * INC # F8: 4,6 => UNS * INC # F8: 8,9 => UNS * INC # F8: 4,8 => UNS * INC # F8: 6,9 => UNS * INC # F9: 4,8 => UNS * INC # F9: 2,5,9 => UNS * INC # H8: 7,9 => UNS * INC # H8: 1,4 => UNS * INC # G9: 3,9 => UNS * INC # G9: 2,5 => UNS * INC # D8: 3,9 => UNS * INC # D8: 4,6 => UNS * INC # A3: 6,8 # D8: 4,6 => UNS * INC # A3: 6,8 # D8: 3,9 => UNS * INC # A3: 6,8 # F8: 4,6 => UNS * INC # A3: 6,8 # F8: 9 => UNS * INC # A3: 6,8 # C4: 1,6 => UNS * INC # A3: 6,8 # C4: 5 => UNS * INC # A3: 6,8 # C5: 1,6 => UNS * INC # A3: 6,8 # C5: 5 => UNS * INC # A3: 6,8 # G9: 3,9 => UNS * INC # A3: 6,8 # G9: 2,5 => UNS * INC # A3: 6,8 # D8: 3,9 => UNS * INC # A3: 6,8 # D8: 4,6 => UNS * INC # A3: 6,8 => UNS * INC # A3: 2,9 # B1: 2,9 => UNS * INC # A3: 2,9 # B2: 2,9 => UNS * INC # A3: 2,9 # D3: 2,9 => UNS * DIS # A3: 2,9 # H3: 2,9 => CTR => H3: 5 * INC # A3: 2,9 + H3: 5 # B1: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B2: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # E5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # G5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # H9: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # H9: 4 => UNS * INC # A3: 2,9 + H3: 5 # B1: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B2: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # E1: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F2: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B1: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # E1: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I9: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B2: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F2: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # G5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # G9: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # B5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # E5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # F5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # I4: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # G5: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # H9: 2,9 => UNS * INC # A3: 2,9 + H3: 5 # H9: 4 => UNS * INC # A3: 2,9 + H3: 5 # H7: 2,7 => UNS * INC # A3: 2,9 + H3: 5 # H7: 4 => UNS * INC # A3: 2,9 + H3: 5 # F9: 2,4 => UNS * DIS # A3: 2,9 + H3: 5 # F9: 9 => CTR => F9: 2,4 * PRF # A3: 2,9 + H3: 5 + F9: 2,4 # B1: 2,9 => SOL * STA # A3: 2,9 + H3: 5 + F9: 2,4 + B1: 2,9 * CNT 74 HDP CHAINS / 75 HYP OPENED