Analysis of xx-mith-te3-00111624-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.67.....18.....6..72.....6..8...37.....4.9.5....2...42.78.1..18..47........6. initial
Autosolve
position: .2.4.67.....18.....6..72..4..6..8...37.....4.9.5....2...42.78.1..18..47........6. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.123106
The following important HDP chains were detected:
* DIS # E4: 1,3,5,9 # E1: 3,9 => CTR => E1: 5 * PRF # E4: 1,3,5,9 + E1: 5 # H3: 5 => SOL * STA # E4: 1,3,5,9 + E1: 5 + H3: 5 * CNT 2 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.67.....18.....6..72.....6..8...37.....4.9.5....2...42.78.1..18..47........6. | initial |
| .2.4.67.....18.....6..72..4..6..8...37.....4.9.5....2...42.78.1..18..47........6. | autosolve |
| 123456789457189236869372154246598317378621945915743628534267891691835472782914563 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) G2: 2,6 I2: 2,6 A4: 2,4 B4: 1,4 C5: 2,8 A7: 5,6 E9: 1,4 F9: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 9 pairs (_) / A3 = 1 => 10 pairs (_) B4,B6: 1.. / B4 = 1 => 11 pairs (_) / B6 = 1 => 17 pairs (_) E9,F9: 1.. / E9 = 1 => 8 pairs (_) / F9 = 1 => 9 pairs (_) A1,H1: 1.. / A1 = 1 => 9 pairs (_) / H1 = 1 => 10 pairs (_) G2,I2: 2.. / G2 = 2 => 6 pairs (_) / I2 = 2 => 8 pairs (_) A4,C5: 2.. / A4 = 2 => 17 pairs (_) / C5 = 2 => 9 pairs (_) E4,E5: 2.. / E4 = 2 => 9 pairs (_) / E5 = 2 => 17 pairs (_) A4,E4: 2.. / A4 = 2 => 17 pairs (_) / E4 = 2 => 9 pairs (_) C5,E5: 2.. / C5 = 2 => 9 pairs (_) / E5 = 2 => 17 pairs (_) A8,I8: 2.. / A8 = 2 => 9 pairs (_) / I8 = 2 => 17 pairs (_) C5,C9: 2.. / C5 = 2 => 9 pairs (_) / C9 = 2 => 17 pairs (_) G2,G9: 2.. / G2 = 2 => 6 pairs (_) / G9 = 2 => 8 pairs (_) A2,B2: 4.. / A2 = 4 => 17 pairs (_) / B2 = 4 => 9 pairs (_) E9,F9: 4.. / E9 = 4 => 9 pairs (_) / F9 = 4 => 8 pairs (_) A2,A4: 4.. / A2 = 4 => 17 pairs (_) / A4 = 4 => 9 pairs (_) F6,F9: 4.. / F6 = 4 => 9 pairs (_) / F9 = 4 => 8 pairs (_) G2,I2: 6.. / G2 = 6 => 8 pairs (_) / I2 = 6 => 6 pairs (_) D5,D6: 6.. / D5 = 6 => 9 pairs (_) / D6 = 6 => 10 pairs (_) A7,A8: 6.. / A7 = 6 => 8 pairs (_) / A8 = 6 => 20 pairs (_) E7,E8: 6.. / E7 = 6 => 20 pairs (_) / E8 = 6 => 8 pairs (_) A7,E7: 6.. / A7 = 6 => 8 pairs (_) / E7 = 6 => 20 pairs (_) A8,E8: 6.. / A8 = 6 => 20 pairs (_) / E8 = 6 => 8 pairs (_) A2,C2: 7.. / A2 = 7 => 9 pairs (_) / C2 = 7 => 18 pairs (_) D4,D6: 7.. / D4 = 7 => 10 pairs (_) / D6 = 7 => 8 pairs (_) I4,I6: 7.. / I4 = 7 => 8 pairs (_) / I6 = 7 => 10 pairs (_) A9,C9: 7.. / A9 = 7 => 18 pairs (_) / C9 = 7 => 9 pairs (_) D4,I4: 7.. / D4 = 7 => 10 pairs (_) / I4 = 7 => 8 pairs (_) D6,I6: 7.. / D6 = 7 => 8 pairs (_) / I6 = 7 => 10 pairs (_) A2,A9: 7.. / A2 = 7 => 9 pairs (_) / A9 = 7 => 18 pairs (_) C2,C9: 7.. / C2 = 7 => 18 pairs (_) / C9 = 7 => 9 pairs (_) H1,H3: 8.. / H1 = 8 => 10 pairs (_) / H3 = 8 => 10 pairs (_) C5,B6: 8.. / C5 = 8 => 17 pairs (_) / B6 = 8 => 9 pairs (_) I5,I6: 8.. / I5 = 8 => 9 pairs (_) / I6 = 8 => 17 pairs (_) C5,I5: 8.. / C5 = 8 => 17 pairs (_) / I5 = 8 => 9 pairs (_) B6,I6: 8.. / B6 = 8 => 9 pairs (_) / I6 = 8 => 17 pairs (_) B6,B9: 8.. / B6 = 8 => 9 pairs (_) / B9 = 8 => 17 pairs (_) * DURATION: 0:00:11.779743 START: 03:32:59.460322 END: 03:33:11.240065 2025-04-05 * CP COUNT: (36) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:07.977204 START: 03:33:17.220842 END: 03:33:25.198046 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00111624-base-pr-002.dot * REASONING * DIS # E4: 1,3,5,9 # E1: 3,9 => CTR => E1: 5 * PRF # E4: 1,3,5,9 + E1: 5 # H3: 5 => SOL * STA # E4: 1,3,5,9 + E1: 5 + H3: 5 * CNT 2 HDP CHAINS / 35 HYP OPENED
Header Info
rating: 28463; r2: 543514; index: 111624
Solution
position: 123456789457189236869372154246598317378621945915743628534267891691835472782914563 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 # E4: 2,4 => UNS * INC # E4: 1,3,5,9 => UNS * INC # B6: 1,4 => UNS * INC # B6: 8 => UNS * INC # E4: 1,4 => UNS * INC # E4: 2,3,5,9 => UNS * INC # C9: 2,8 => UNS * INC # C9: 3,7,9 => UNS * INC # A8: 5,6 => UNS * INC # A8: 2 => UNS * INC # E7: 5,6 => UNS * INC # E7: 3,9 => UNS * INC # E4: 1,4 => UNS * INC # E6: 1,4 => UNS * INC # F6: 1,4 => UNS * INC # F6: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E4: 2,4 => UNS * INC # E4: 1,3,5,9 => UNS * INC # B6: 1,4 => UNS * INC # B6: 8 => UNS * INC # E4: 1,4 => UNS * INC # E4: 2,3,5,9 => UNS * INC # C9: 2,8 => UNS * INC # C9: 3,7,9 => UNS * INC # A8: 5,6 => UNS * INC # A8: 2 => UNS * INC # E7: 5,6 => UNS * INC # E7: 3,9 => UNS * INC # E4: 1,4 => UNS * INC # E6: 1,4 => UNS * INC # F6: 1,4 => UNS * INC # F6: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E4: 2,4 => UNS * INC # E4: 1,3,5,9 => UNS * INC # B6: 1,4 => UNS * INC # B6: 8 => UNS * INC # E4: 1,4 => UNS * INC # E4: 2,3,5,9 => UNS * INC # C9: 2,8 => UNS * INC # C9: 3,7,9 => UNS * INC # A8: 5,6 => UNS * INC # A8: 2 => UNS * INC # E7: 5,6 => UNS * INC # E7: 3,9 => UNS * INC # E4: 1,4 => UNS * INC # E6: 1,4 => UNS * INC # F6: 1,4 => UNS * INC # F6: 3 => UNS * INC # E4: 2,4 # A1: 1,8 => UNS * INC # E4: 2,4 # A1: 5 => UNS * INC # E4: 2,4 # A3: 1,8 => UNS * INC # E4: 2,4 # A3: 5 => UNS * INC # E4: 2,4 # C9: 2,8 => UNS * INC # E4: 2,4 # C9: 3,7,9 => UNS * INC # E4: 2,4 # A8: 5,6 => UNS * INC # E4: 2,4 # A8: 2 => UNS * INC # E4: 2,4 # E7: 5,6 => UNS * INC # E4: 2,4 # E7: 3,9 => UNS * INC # E4: 2,4 # E6: 1,4 => UNS * INC # E4: 2,4 # E6: 3 => UNS * INC # E4: 2,4 # F6: 1,4 => UNS * INC # E4: 2,4 # F6: 3 => UNS * INC # E4: 2,4 => UNS * DIS # E4: 1,3,5,9 # E1: 3,9 => CTR => E1: 5 * INC # E4: 1,3,5,9 + E1: 5 # H3: 1,8 => UNS * PRF # E4: 1,3,5,9 + E1: 5 # H3: 5 => SOL * STA # E4: 1,3,5,9 + E1: 5 + H3: 5 * CNT 34 HDP CHAINS / 35 HYP OPENED