Analysis of xx-mith-te3-00118193-base.sdk
Contents
Original Sudoku
level: hard
position: ..3.5678..5718....68.3.75...16..8..5...6.....73.5.1..........2.......19....71385. initial
Autosolve
position: 1.3.5678..5718....68.3.75...16..8..5...6.....73.5.1.....1....2.......19....71385. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.152915
The following important HDP chains were detected:
* PRF # I3: 1,4 # I6: 2,9 => SOL * STA # I3: 1,4 + I6: 2,9 * CNT 1 HDP CHAINS / 43 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3.5678..5718....68.3.75...16..8..5...6.....73.5.1..........2.......19....71385. | initial |
| 1.3.5678..5718....68.3.75...16..8..5...6.....73.5.1.....1....2.......19....71385. | autosolve |
| 123456789457189236689327541216938475594672318738541962341895627875264193962713854 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) H3: 1,4 A5: 5,8 E4: 3,7 E5: 3,7 H6: 4,6 C8: 5,8 I9: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H3,I3: 1.. / H3 = 1 => 7 pairs (_) / I3 = 1 => 6 pairs (_) H5,I5: 1.. / H5 = 1 => 6 pairs (_) / I5 = 1 => 7 pairs (_) H3,H5: 1.. / H3 = 1 => 7 pairs (_) / H5 = 1 => 6 pairs (_) I3,I5: 1.. / I3 = 1 => 6 pairs (_) / I5 = 1 => 7 pairs (_) E4,E5: 3.. / E4 = 3 => 5 pairs (_) / E5 = 3 => 6 pairs (_) A7,A8: 3.. / A7 = 3 => 14 pairs (_) / A8 = 3 => 8 pairs (_) A8,I8: 3.. / A8 = 3 => 8 pairs (_) / I8 = 3 => 14 pairs (_) A5,C5: 5.. / A5 = 5 => 8 pairs (_) / C5 = 5 => 8 pairs (_) F7,F8: 5.. / F7 = 5 => 9 pairs (_) / F8 = 5 => 7 pairs (_) A7,F7: 5.. / A7 = 5 => 7 pairs (_) / F7 = 5 => 9 pairs (_) C5,C8: 5.. / C5 = 5 => 8 pairs (_) / C8 = 5 => 8 pairs (_) E7,E8: 6.. / E7 = 6 => 15 pairs (_) / E8 = 6 => 9 pairs (_) B9,I9: 6.. / B9 = 6 => 19 pairs (_) / I9 = 6 => 9 pairs (_) H2,H6: 6.. / H2 = 6 => 14 pairs (_) / H6 = 6 => 7 pairs (_) E4,E5: 7.. / E4 = 7 => 6 pairs (_) / E5 = 7 => 5 pairs (_) H4,H5: 7.. / H4 = 7 => 5 pairs (_) / H5 = 7 => 6 pairs (_) B7,B8: 7.. / B7 = 7 => 9 pairs (_) / B8 = 7 => 8 pairs (_) I7,I8: 7.. / I7 = 7 => 8 pairs (_) / I8 = 7 => 9 pairs (_) E4,H4: 7.. / E4 = 7 => 6 pairs (_) / H4 = 7 => 5 pairs (_) E5,H5: 7.. / E5 = 7 => 5 pairs (_) / H5 = 7 => 6 pairs (_) B7,I7: 7.. / B7 = 7 => 9 pairs (_) / I7 = 7 => 8 pairs (_) B8,I8: 7.. / B8 = 7 => 8 pairs (_) / I8 = 7 => 9 pairs (_) I5,I6: 8.. / I5 = 8 => 10 pairs (_) / I6 = 8 => 8 pairs (_) D7,D8: 8.. / D7 = 8 => 9 pairs (_) / D8 = 8 => 7 pairs (_) C6,I6: 8.. / C6 = 8 => 10 pairs (_) / I6 = 8 => 8 pairs (_) A7,D7: 8.. / A7 = 8 => 7 pairs (_) / D7 = 8 => 9 pairs (_) * DURATION: 0:00:08.442696 START: 19:02:19.579965 END: 19:02:28.022661 2025-04-06 * CP COUNT: (26) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.005742 START: 19:02:38.160880 END: 19:02:50.166622 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00118193-base-pr-002.dot * REASONING * PRF # I3: 1,4 # I6: 2,9 => SOL * STA # I3: 1,4 + I6: 2,9 * CNT 1 HDP CHAINS / 43 HYP OPENED
Header Info
rating: 30455; r2: 574879; index: 118193
Solution
position: 123456789457189236689327541216938475594672318738541962341895627875264193962713854 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 # I3: 1,4 => UNS * INC # I3: 2,9 => UNS * INC # H5: 1,4 => UNS * INC # H5: 3,7 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # H4: 3,7 => UNS * INC # H4: 4 => UNS * INC # H5: 3,7 => UNS * INC # H5: 1,4 => UNS * INC # G6: 4,6 => UNS * INC # I6: 4,6 => UNS * INC # H2: 4,6 => UNS * INC # H2: 3 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # G7: 4,6 => UNS * INC # I7: 4,6 => UNS * INC # I8: 4,6 => UNS * INC # B9: 4,6 => UNS * INC # B9: 2,9 => UNS * INC # I2: 4,6 => UNS * INC # I6: 4,6 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I3: 1,4 => UNS * INC # I3: 2,9 => UNS * INC # H5: 1,4 => UNS * INC # H5: 3,7 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # H4: 3,7 => UNS * INC # H4: 4 => UNS * INC # H5: 3,7 => UNS * INC # H5: 1,4 => UNS * INC # G6: 4,6 => UNS * INC # I6: 4,6 => UNS * INC # H2: 4,6 => UNS * INC # H2: 3 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # G7: 4,6 => UNS * INC # I7: 4,6 => UNS * INC # I8: 4,6 => UNS * INC # B9: 4,6 => UNS * INC # B9: 2,9 => UNS * INC # I2: 4,6 => UNS * INC # I6: 4,6 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I3: 1,4 => UNS * INC # I3: 2,9 => UNS * INC # H5: 1,4 => UNS * INC # H5: 3,7 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # H4: 3,7 => UNS * INC # H4: 4 => UNS * INC # H5: 3,7 => UNS * INC # H5: 1,4 => UNS * INC # G6: 4,6 => UNS * INC # I6: 4,6 => UNS * INC # H2: 4,6 => UNS * INC # H2: 3 => UNS * INC # A7: 5,8 => UNS * INC # A8: 5,8 => UNS * INC # C5: 5,8 => UNS * INC # C5: 2,4,9 => UNS * INC # G7: 4,6 => UNS * INC # I7: 4,6 => UNS * INC # I8: 4,6 => UNS * INC # B9: 4,6 => UNS * INC # B9: 2,9 => UNS * INC # I2: 4,6 => UNS * INC # I6: 4,6 => UNS * INC # I3: 1,4 # B1: 2,9 => UNS * INC # I3: 1,4 # A2: 2,9 => UNS * INC # I3: 1,4 # C5: 2,9 => UNS * INC # I3: 1,4 # C6: 2,9 => UNS * INC # I3: 1,4 # C9: 2,9 => UNS * INC # I3: 1,4 # D1: 2,9 => UNS * INC # I3: 1,4 # F2: 2,9 => UNS * INC # I3: 1,4 # E6: 2,9 => UNS * INC # I3: 1,4 # E6: 4 => UNS * INC # I3: 1,4 # G2: 2,9 => UNS * INC # I3: 1,4 # I2: 2,9 => UNS * INC # I3: 1,4 # B1: 2,9 => UNS * INC # I3: 1,4 # D1: 2,9 => UNS * INC # I3: 1,4 # I5: 2,9 => UNS * PRF # I3: 1,4 # I6: 2,9 => SOL * STA # I3: 1,4 + I6: 2,9 * CNT 42 HDP CHAINS / 43 HYP OPENED