Analysis of xx-mith-te3-00024974-base.sdk
Contents
Original Sudoku
level: hard
position: 1...56....5.18...668.3.7....65.31.7.73.8.51..8.1......31....92..7....4......136.7 initial
Autosolve
position: 1...56....5.18...668.3.7....65.31.7.73.8.51..8.1......31....92..7....4......136.7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:16.965233
The following important HDP chains were detected:
* DIS # G1: 2,8 # I1: 4,9 => CTR => I1: 2,3,8 * PRF # G2: 2 # I1: 4,9 => SOL * STA # G2: 2 + I1: 4,9 * CNT 2 HDP CHAINS / 94 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1...56....5.18...668.3.7....65.31.7.73.8.51..8.1......31....92..7....4......136.7 | initial |
| 1...56....5.18...668.3.7....65.31.7.73.8.51..8.1......31....92..7....4......136.7 | autosolve |
| 123456789457189236689327541265931874734865192891742365316574928572698413948213657 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) C1: 3,7 C2: 3,7 G3: 2,5 G4: 2,8 F7: 4,8 I7: 5,8 H8: 1,3 I8: 1,3 H9: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H3,I3: 1.. / H3 = 1 => 9 pairs (_) / I3 = 1 => 7 pairs (_) H8,I8: 1.. / H8 = 1 => 7 pairs (_) / I8 = 1 => 9 pairs (_) H3,H8: 1.. / H3 = 1 => 9 pairs (_) / H8 = 1 => 7 pairs (_) I3,I8: 1.. / I3 = 1 => 7 pairs (_) / I8 = 1 => 9 pairs (_) C1,C2: 3.. / C1 = 3 => 7 pairs (_) / C2 = 3 => 8 pairs (_) H8,I8: 3.. / H8 = 3 => 9 pairs (_) / I8 = 3 => 7 pairs (_) A8,A9: 5.. / A8 = 5 => 9 pairs (_) / A9 = 5 => 13 pairs (_) I7,H9: 5.. / I7 = 5 => 9 pairs (_) / H9 = 5 => 10 pairs (_) D7,I7: 5.. / D7 = 5 => 10 pairs (_) / I7 = 5 => 9 pairs (_) A8,D8: 5.. / A8 = 5 => 9 pairs (_) / D8 = 5 => 13 pairs (_) G3,G6: 5.. / G3 = 5 => 9 pairs (_) / G6 = 5 => 14 pairs (_) H5,H6: 6.. / H5 = 6 => 11 pairs (_) / H6 = 6 => 14 pairs (_) C7,C8: 6.. / C7 = 6 => 10 pairs (_) / C8 = 6 => 12 pairs (_) E5,H5: 6.. / E5 = 6 => 14 pairs (_) / H5 = 6 => 11 pairs (_) C1,C2: 7.. / C1 = 7 => 8 pairs (_) / C2 = 7 => 7 pairs (_) G1,G2: 7.. / G1 = 7 => 7 pairs (_) / G2 = 7 => 8 pairs (_) D6,E6: 7.. / D6 = 7 => 10 pairs (_) / E6 = 7 => 10 pairs (_) D7,E7: 7.. / D7 = 7 => 10 pairs (_) / E7 = 7 => 10 pairs (_) C1,G1: 7.. / C1 = 7 => 8 pairs (_) / G1 = 7 => 7 pairs (_) C2,G2: 7.. / C2 = 7 => 7 pairs (_) / G2 = 7 => 8 pairs (_) D6,D7: 7.. / D6 = 7 => 10 pairs (_) / D7 = 7 => 10 pairs (_) E6,E7: 7.. / E6 = 7 => 10 pairs (_) / E7 = 7 => 10 pairs (_) G4,I4: 8.. / G4 = 8 => 8 pairs (_) / I4 = 8 => 14 pairs (_) F7,F8: 8.. / F7 = 8 => 9 pairs (_) / F8 = 8 => 12 pairs (_) I7,H9: 8.. / I7 = 8 => 10 pairs (_) / H9 = 8 => 9 pairs (_) C8,F8: 8.. / C8 = 8 => 9 pairs (_) / F8 = 8 => 12 pairs (_) C9,H9: 8.. / C9 = 8 => 10 pairs (_) / H9 = 8 => 9 pairs (_) G1,G4: 8.. / G1 = 8 => 14 pairs (_) / G4 = 8 => 8 pairs (_) H1,H9: 8.. / H1 = 8 => 10 pairs (_) / H9 = 8 => 9 pairs (_) * DURATION: 0:00:07.323136 START: 09:47:42.642633 END: 09:47:49.965769 2025-04-04 * CP COUNT: (29) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:16.663401 START: 09:47:53.947983 END: 09:48:10.611384 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00024974-base-pr-002.dot * REASONING * DIS # G1: 2,8 # I1: 4,9 => CTR => I1: 2,3,8 * PRF # G2: 2 # I1: 4,9 => SOL * STA # G2: 2 + I1: 4,9 * CNT 2 HDP CHAINS / 94 HYP OPENED
Header Info
rating: 5125; r2: 69933; index: 24974
Solution
position: 123456789457189236689327541265931874734865192891742365316574928572698413948213657 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 # G1: 3,7 => UNS * INC # G1: 2,8 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 => UNS * INC # I3: 2,5 => UNS * INC # I3: 1,4,9 => UNS * INC # G6: 2,5 => UNS * INC # G6: 3 => UNS * INC # I4: 2,8 => UNS * INC # I4: 4,9 => UNS * INC # G1: 2,8 => UNS * INC # G1: 3,7 => UNS * INC # C7: 4,8 => UNS * INC # C7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2,8 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 => UNS * INC # I3: 2,5 => UNS * INC # I3: 1,4,9 => UNS * INC # G6: 2,5 => UNS * INC # G6: 3 => UNS * INC # I4: 2,8 => UNS * INC # I4: 4,9 => UNS * INC # G1: 2,8 => UNS * INC # G1: 3,7 => UNS * INC # C7: 4,8 => UNS * INC # C7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2,8 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 => UNS * INC # I3: 2,5 => UNS * INC # I3: 1,4,9 => UNS * INC # G6: 2,5 => UNS * INC # G6: 3 => UNS * INC # I4: 2,8 => UNS * INC # I4: 4,9 => UNS * INC # G1: 2,8 => UNS * INC # G1: 3,7 => UNS * INC # C7: 4,8 => UNS * INC # C7: 6 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2 => UNS * INC # G1: 3,7 # I3: 2,5 => UNS * INC # G1: 3,7 # I3: 1,4,9 => UNS * INC # G1: 3,7 # G6: 2,5 => UNS * INC # G1: 3,7 # G6: 3 => UNS * INC # G1: 3,7 # C7: 4,8 => UNS * INC # G1: 3,7 # C7: 6 => UNS * INC # G1: 3,7 => UNS * INC # G1: 2,8 # I1: 2,8 => UNS * INC # G1: 2,8 # I1: 3,4,9 => UNS * INC # G1: 2,8 # H1: 4,9 => UNS * DIS # G1: 2,8 # I1: 4,9 => CTR => I1: 2,3,8 * INC # G1: 2,8 + I1: 2,3,8 # H3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # A2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # F2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H5: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H6: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H1: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # A2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # F2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H5: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H6: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I4: 2,8 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I4: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # C7: 4,8 => UNS * INC # G1: 2,8 + I1: 2,3,8 # C7: 6 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I1: 2,8 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I1: 3 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H1: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I3: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # A2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # F2: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H5: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # H6: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I4: 2,8 => UNS * INC # G1: 2,8 + I1: 2,3,8 # I4: 4,9 => UNS * INC # G1: 2,8 + I1: 2,3,8 # C7: 4,8 => UNS * INC # G1: 2,8 + I1: 2,3,8 # C7: 6 => UNS * INC # G1: 2,8 + I1: 2,3,8 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2,8 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2,8 => UNS * INC # G2: 3,7 # H1: 4,9 => UNS * INC # G2: 3,7 # I1: 4,9 => UNS * INC # G2: 3,7 # H3: 4,9 => UNS * INC # G2: 3,7 # I3: 4,9 => UNS * INC # G2: 3,7 # A2: 4,9 => UNS * INC # G2: 3,7 # F2: 4,9 => UNS * INC # G2: 3,7 # H5: 4,9 => UNS * INC # G2: 3,7 # H6: 4,9 => UNS * INC # G2: 3,7 # I3: 2,5 => UNS * INC # G2: 3,7 # I3: 1,4,9 => UNS * INC # G2: 3,7 # G6: 2,5 => UNS * INC # G2: 3,7 # G6: 3 => UNS * INC # G2: 3,7 # I4: 2,8 => UNS * INC # G2: 3,7 # I4: 4,9 => UNS * INC # G2: 3,7 # G1: 2,8 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # C7: 4,8 => UNS * INC # G2: 3,7 # C7: 6 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2 # B1: 4,9 => UNS * INC # G2: 2 # C3: 4,9 => UNS * INC # G2: 2 # A4: 4,9 => UNS * INC # G2: 2 # A9: 4,9 => UNS * INC # G2: 2 # D1: 4,9 => UNS * INC # G2: 2 # E3: 4,9 => UNS * INC # G2: 2 # F6: 4,9 => UNS * INC # G2: 2 # F6: 2 => UNS * INC # G2: 2 # H1: 4,9 => UNS * PRF # G2: 2 # I1: 4,9 => SOL * STA # G2: 2 + I1: 4,9 * CNT 93 HDP CHAINS / 94 HYP OPENED