Analysis of xx-mith-te3-00133179-base.sdk
Contents
Original Sudoku
level: hard
position: 123...7.9.5.1.9...689.............13....1492..1.9.34.7..27.1.94...39......1.4237. initial
Autosolve
position: 123...7.9.5.1.9...689.............13....1492..1.9.34.7..27.1.94...39......1.4237. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # E3: 5,7 => CTR => E3: 2,3 * CNT 1 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # E3: 5,7 => CTR => E3: 2,3 * STA E3: 2,3 * CNT 1 HDP CHAINS / 27 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 123...7.9.5.1.9...689..7.......7..13....1492..1.9.34.7..27.1.94...39......1.4237. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:19.494930
The following important HDP chains were detected:
* DIS # E2: 6,8 # E1: 6,8 => CTR => E1: 5 * DIS # E2: 6,8 + E1: 5 # G2: 6,8 => CTR => G2: 2 * PRF # E2: 6,8 + E1: 5 + G2: 2 => SOL * STA E2: 6,8 * CNT 3 HDP CHAINS / 98 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 123...7.9.5.1.9...689.............13....1492..1.9.34.7..27.1.94...39......1.4237. | initial |
| 123...7.9.5.1.9...689.............13....1492..1.9.34.7..27.1.94...39......1.4237. | autosolve |
| 123...7.9.5.1.9...689..7.......7..13....1492..1.9.34.7..27.1.94...39......1.4237. | pair_reduction |
| 123456789457189236689237541294578613375614928816923457532761894748395162961842375 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) A2: 4,7 C2: 4,7 F3: 5,7 B7: 3,6 B9: 6,9 G8: 1,2 I8: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,I3: 1.. / G3 = 1 => 7 pairs (_) / I3 = 1 => 7 pairs (_) G8,I8: 1.. / G8 = 1 => 7 pairs (_) / I8 = 1 => 7 pairs (_) G3,G8: 1.. / G3 = 1 => 7 pairs (_) / G8 = 1 => 7 pairs (_) I3,I8: 1.. / I3 = 1 => 7 pairs (_) / I8 = 1 => 7 pairs (_) A4,A6: 2.. / A4 = 2 => 12 pairs (_) / A6 = 2 => 10 pairs (_) G8,I8: 2.. / G8 = 2 => 7 pairs (_) / I8 = 2 => 7 pairs (_) A6,E6: 2.. / A6 = 2 => 10 pairs (_) / E6 = 2 => 12 pairs (_) D3,D4: 2.. / D3 = 2 => 12 pairs (_) / D4 = 2 => 10 pairs (_) E2,E3: 3.. / E2 = 3 => 9 pairs (_) / E3 = 3 => 7 pairs (_) H2,H3: 3.. / H2 = 3 => 7 pairs (_) / H3 = 3 => 9 pairs (_) A5,B5: 3.. / A5 = 3 => 8 pairs (_) / B5 = 3 => 11 pairs (_) A7,B7: 3.. / A7 = 3 => 11 pairs (_) / B7 = 3 => 8 pairs (_) E2,H2: 3.. / E2 = 3 => 9 pairs (_) / H2 = 3 => 7 pairs (_) E3,H3: 3.. / E3 = 3 => 7 pairs (_) / H3 = 3 => 9 pairs (_) A5,A7: 3.. / A5 = 3 => 8 pairs (_) / A7 = 3 => 11 pairs (_) B5,B7: 3.. / B5 = 3 => 11 pairs (_) / B7 = 3 => 8 pairs (_) A2,C2: 4.. / A2 = 4 => 7 pairs (_) / C2 = 4 => 10 pairs (_) D1,D3: 4.. / D1 = 4 => 7 pairs (_) / D3 = 4 => 9 pairs (_) H1,H3: 4.. / H1 = 4 => 9 pairs (_) / H3 = 4 => 7 pairs (_) D1,H1: 4.. / D1 = 4 => 7 pairs (_) / H1 = 4 => 9 pairs (_) D3,H3: 4.. / D3 = 4 => 9 pairs (_) / H3 = 4 => 7 pairs (_) B4,B8: 4.. / B4 = 4 => 11 pairs (_) / B8 = 4 => 8 pairs (_) A2,C2: 7.. / A2 = 7 => 10 pairs (_) / C2 = 7 => 7 pairs (_) E3,F3: 7.. / E3 = 7 => 0 pairs (X) / F3 = 7 => 6 pairs (_) E4,F4: 7.. / E4 = 7 => 6 pairs (_) / F4 = 7 => 0 pairs (X) B5,B8: 7.. / B5 = 7 => 8 pairs (_) / B8 = 7 => 11 pairs (_) E3,E4: 7.. / E3 = 7 => 0 pairs (X) / E4 = 7 => 6 pairs (_) F3,F4: 7.. / F3 = 7 => 6 pairs (_) / F4 = 7 => 0 pairs (X) A4,B4: 9.. / A4 = 9 => 11 pairs (_) / B4 = 9 => 8 pairs (_) A9,B9: 9.. / A9 = 9 => 8 pairs (_) / B9 = 9 => 11 pairs (_) A4,A9: 9.. / A4 = 9 => 11 pairs (_) / A9 = 9 => 8 pairs (_) B4,B9: 9.. / B4 = 9 => 8 pairs (_) / B9 = 9 => 11 pairs (_) * DURATION: 0:00:09.307728 START: 20:11:43.470635 END: 20:11:52.778363 2025-04-06 * CP COUNT: (32) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:19.276598 START: 20:12:00.820162 END: 20:12:20.096760 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00133179-base-pr-002.dot * REASONING * DIS # E2: 6,8 # E1: 6,8 => CTR => E1: 5 * DIS # E2: 6,8 + E1: 5 # G2: 6,8 => CTR => G2: 2 * PRF # E2: 6,8 + E1: 5 + G2: 2 => SOL * STA E2: 6,8 * CNT 3 HDP CHAINS / 98 HYP OPENED
Header Info
rating: 35203; r2: 774888; index: 133179
Solution
position: 123456789457189236689237541294578613375614928816923457532761894748395162961842375 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 # A8: 4,7 => UNS * INC # A8: 5,8 => UNS * INC # C8: 4,7 => UNS * INC # C8: 5,6,8 => UNS * DIS # E3: 5,7 => CTR => E3: 2,3 * INC # E3: 2,3 => UNS * INC # F4: 5,7 => UNS * INC # F4: 6,8 => UNS * INC # B5: 3,6 => UNS * INC # B5: 7 => UNS * INC # B4: 6,9 => UNS * INC # B4: 4 => UNS * INC # G3: 1,2 => UNS * INC # G3: 5 => UNS * INC # I3: 1,2 => UNS * INC # I3: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A8: 4,7 => UNS * INC # A8: 5,8 => UNS * INC # C8: 4,7 => UNS * INC # C8: 5,6,8 => UNS * DIS # E3: 5,7 => CTR => E3: 2,3 * INC E3: 2,3 # B5: 3,6 => UNS * INC E3: 2,3 # B5: 7 => UNS * INC E3: 2,3 # B4: 6,9 => UNS * INC E3: 2,3 # B4: 4 => UNS * INC E3: 2,3 # G3: 1,2 => UNS * INC E3: 2,3 # G3: 5 => UNS * INC E3: 2,3 # I3: 1,2 => UNS * INC E3: 2,3 # I3: 5 => UNS * INC E3: 2,3 # A8: 4,7 => UNS * INC E3: 2,3 # A8: 5,8 => UNS * INC E3: 2,3 # C8: 4,7 => UNS * INC E3: 2,3 # C8: 5,6,8 => UNS * INC E3: 2,3 # E2: 2,3 => UNS * INC E3: 2,3 # E2: 6,8 => UNS * INC E3: 2,3 # B5: 3,6 => UNS * INC E3: 2,3 # B5: 7 => UNS * INC E3: 2,3 # B4: 6,9 => UNS * INC E3: 2,3 # B4: 4 => UNS * INC E3: 2,3 # G3: 1,2 => UNS * INC E3: 2,3 # G3: 5 => UNS * INC E3: 2,3 # I3: 1,2 => UNS * INC E3: 2,3 # I3: 5 => UNS * STA E3: 2,3 * CNT 27 HDP CHAINS / 27 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A8: 4,7 => UNS * INC # A8: 5,8 => UNS * INC # C8: 4,7 => UNS * INC # C8: 5,6,8 => UNS * INC # E2: 2,3 => UNS * INC # E2: 6,8 => UNS * INC # B5: 3,6 => UNS * INC # B5: 7 => UNS * INC # B4: 6,9 => UNS * INC # B4: 4 => UNS * INC # G3: 1,2 => UNS * INC # G3: 5 => UNS * INC # I3: 1,2 => UNS * INC # I3: 5 => UNS * INC # A8: 4,7 # C8: 4,7 => UNS * INC # A8: 4,7 # C8: 5,6,8 => UNS * INC # A8: 4,7 # E2: 2,3 => UNS * INC # A8: 4,7 # E2: 6,8 => UNS * INC # A8: 4,7 # B5: 3,6 => UNS * INC # A8: 4,7 # B5: 7 => UNS * INC # A8: 4,7 # B8: 4,7 => UNS * INC # A8: 4,7 # C8: 4,7 => UNS * INC # A8: 4,7 # B4: 6,9 => UNS * INC # A8: 4,7 # B4: 4 => UNS * INC # A8: 4,7 # G3: 1,2 => UNS * INC # A8: 4,7 # G3: 5 => UNS * INC # A8: 4,7 # I3: 1,2 => UNS * INC # A8: 4,7 # I3: 5 => UNS * INC # A8: 4,7 => UNS * INC # A8: 5,8 # D1: 4,5 => UNS * INC # A8: 5,8 # D1: 6,8 => UNS * INC # A8: 5,8 # H3: 4,5 => UNS * INC # A8: 5,8 # H3: 3 => UNS * INC # A8: 5,8 # H3: 4,5 => UNS * INC # A8: 5,8 # H3: 3 => UNS * INC # A8: 5,8 # D1: 4,5 => UNS * INC # A8: 5,8 # D1: 6,8 => UNS * INC # A8: 5,8 # A7: 5,8 => UNS * INC # A8: 5,8 # A9: 5,8 => UNS * INC # A8: 5,8 # F8: 5,8 => UNS * INC # A8: 5,8 # H8: 5,8 => UNS * INC # A8: 5,8 # G3: 1,2 => UNS * INC # A8: 5,8 # G3: 5 => UNS * INC # A8: 5,8 # I3: 1,2 => UNS * INC # A8: 5,8 # I3: 5 => UNS * INC # A8: 5,8 => UNS * INC # C8: 4,7 # A8: 4,7 => UNS * INC # C8: 4,7 # A8: 5,8 => UNS * INC # C8: 4,7 # D1: 4,5 => UNS * INC # C8: 4,7 # D1: 6,8 => UNS * INC # C8: 4,7 # H3: 4,5 => UNS * INC # C8: 4,7 # H3: 3 => UNS * INC # C8: 4,7 # H3: 4,5 => UNS * INC # C8: 4,7 # H3: 3 => UNS * INC # C8: 4,7 # D1: 4,5 => UNS * INC # C8: 4,7 # D1: 6,8 => UNS * INC # C8: 4,7 # A8: 4,7 => UNS * INC # C8: 4,7 # B8: 4,7 => UNS * INC # C8: 4,7 # G3: 1,2 => UNS * INC # C8: 4,7 # G3: 5 => UNS * INC # C8: 4,7 # I3: 1,2 => UNS * INC # C8: 4,7 # I3: 5 => UNS * INC # C8: 4,7 => UNS * INC # C8: 5,6,8 # E2: 2,3 => UNS * INC # C8: 5,6,8 # E2: 6,8 => UNS * INC # C8: 5,6,8 # B5: 3,6 => UNS * INC # C8: 5,6,8 # B5: 7 => UNS * INC # C8: 5,6,8 # B4: 6,9 => UNS * INC # C8: 5,6,8 # B4: 4 => UNS * INC # C8: 5,6,8 # G3: 1,2 => UNS * INC # C8: 5,6,8 # G3: 5 => UNS * INC # C8: 5,6,8 # I3: 1,2 => UNS * INC # C8: 5,6,8 # I3: 5 => UNS * INC # C8: 5,6,8 => UNS * INC # E2: 2,3 # A8: 4,7 => UNS * INC # E2: 2,3 # A8: 5,8 => UNS * INC # E2: 2,3 # C8: 4,7 => UNS * INC # E2: 2,3 # C8: 5,6,8 => UNS * INC # E2: 2,3 # D1: 4,5 => UNS * INC # E2: 2,3 # D1: 6,8 => UNS * INC # E2: 2,3 # H3: 4,5 => UNS * INC # E2: 2,3 # H3: 3 => UNS * INC # E2: 2,3 # H3: 4,5 => UNS * INC # E2: 2,3 # H3: 3 => UNS * INC # E2: 2,3 # D1: 4,5 => UNS * INC # E2: 2,3 # D1: 6,8 => UNS * INC # E2: 2,3 # B5: 3,6 => UNS * INC # E2: 2,3 # B5: 7 => UNS * INC # E2: 2,3 # B4: 6,9 => UNS * INC # E2: 2,3 # B4: 4 => UNS * INC # E2: 2,3 # G3: 1,2 => UNS * INC # E2: 2,3 # G3: 5 => UNS * INC # E2: 2,3 # I3: 1,2 => UNS * INC # E2: 2,3 # I3: 5 => UNS * INC # E2: 2,3 => UNS * DIS # E2: 6,8 # E1: 6,8 => CTR => E1: 5 * DIS # E2: 6,8 + E1: 5 # G2: 6,8 => CTR => G2: 2 * PRF # E2: 6,8 + E1: 5 + G2: 2 => SOL * STA E2: 6,8 * CNT 98 HDP CHAINS / 98 HYP OPENED