Analysis of xx-mith-te3-00079375-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 initial
Autosolve
position: 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F9: 4,7 => CTR => F9: 5,8,9 * CNT 1 HDP CHAINS / 21 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # F9: 4,7 => CTR => F9: 5,8,9 * STA F9: 5,8,9 * CNT 1 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:20.730334
The following important HDP chains were detected:
* DIS # B2: 5 # G3: 4,6,9 => CTR => G3: 3,5 * DIS # B2: 5 + G3: 3,5 # B5: 4,9 => CTR => B5: 1,3,8 * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 # B6: 4,9 => CTR => B6: 1,3,8 * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # E2: 4,9 => CTR => E2: 3,8 * PRF # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # B5: 8 => SOL * STA # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 + B5: 8 * CNT 5 HDP CHAINS / 64 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 | initial |
| 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 | autosolve |
| 1.3.567.....7..1..7..2.1...2.51.3.....756...26...2...55.....89........4....31.2.6 | pair_reduction |
| 123456789456789123798231564245193678387564912619827435531642897862975341974318256 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) C2: 2,6 H1: 2,8 D7: 4,6 E7: 4,7 G8: 3,5 H9: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H5,H6: 1.. / H5 = 1 => 6 pairs (_) / H6 = 1 => 8 pairs (_) I7,I8: 1.. / I7 = 1 => 11 pairs (_) / I8 = 1 => 7 pairs (_) B5,H5: 1.. / B5 = 1 => 8 pairs (_) / H5 = 1 => 6 pairs (_) H1,H2: 2.. / H1 = 2 => 6 pairs (_) / H2 = 2 => 15 pairs (_) F7,F8: 2.. / F7 = 2 => 6 pairs (_) / F8 = 2 => 11 pairs (_) B1,H1: 2.. / B1 = 2 => 15 pairs (_) / H1 = 2 => 6 pairs (_) E2,E3: 3.. / E2 = 3 => 6 pairs (_) / E3 = 3 => 18 pairs (_) E2,I2: 3.. / E2 = 3 => 6 pairs (_) / I2 = 3 => 18 pairs (_) B7,I7: 3.. / B7 = 3 => 17 pairs (_) / I7 = 3 => 11 pairs (_) A5,A8: 3.. / A5 = 3 => 17 pairs (_) / A8 = 3 => 11 pairs (_) B2,B3: 5.. / B2 = 5 => 7 pairs (_) / B3 = 5 => 11 pairs (_) F8,F9: 5.. / F8 = 5 => 17 pairs (_) / F9 = 5 => 11 pairs (_) G8,H9: 5.. / G8 = 5 => 11 pairs (_) / H9 = 5 => 17 pairs (_) B2,H2: 5.. / B2 = 5 => 7 pairs (_) / H2 = 5 => 11 pairs (_) F8,G8: 5.. / F8 = 5 => 17 pairs (_) / G8 = 5 => 11 pairs (_) F9,H9: 5.. / F9 = 5 => 11 pairs (_) / H9 = 5 => 17 pairs (_) G3,G8: 5.. / G3 = 5 => 17 pairs (_) / G8 = 5 => 11 pairs (_) G4,H4: 6.. / G4 = 6 => 7 pairs (_) / H4 = 6 => 11 pairs (_) D7,D8: 6.. / D7 = 6 => 6 pairs (_) / D8 = 6 => 11 pairs (_) G3,G4: 6.. / G3 = 6 => 11 pairs (_) / G4 = 6 => 7 pairs (_) E4,F6: 7.. / E4 = 7 => 0 pairs (X) / F6 = 7 => 7 pairs (_) F6,H6: 7.. / F6 = 7 => 7 pairs (_) / H6 = 7 => 0 pairs (X) * DURATION: 0:00:06.448275 START: 11:00:51.949363 END: 11:00:58.397638 2025-04-06 * CP COUNT: (22) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:20.543161 START: 11:01:07.526721 END: 11:01:28.069882 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00079375-base-pr-002.dot * REASONING * DIS # B2: 5 # G3: 4,6,9 => CTR => G3: 3,5 * DIS # B2: 5 + G3: 3,5 # B5: 4,9 => CTR => B5: 1,3,8 * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 # B6: 4,9 => CTR => B6: 1,3,8 * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # E2: 4,9 => CTR => E2: 3,8 * PRF # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # B5: 8 => SOL * STA # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 + B5: 8 * CNT 5 HDP CHAINS / 64 HYP OPENED
Header Info
rating: 18835; r2: 437733; index: 79375
Solution
position: 123456789456789123798231564245193678387564912619827435531642897862975341974318256 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 # B2: 2,6 => UNS * INC # B2: 5 => UNS * INC # H2: 2,6 => UNS * INC # H2: 5 => UNS * INC # C7: 2,6 => UNS * INC # C8: 2,6 => UNS * INC # B1: 2,8 => UNS * INC # B1: 4,9 => UNS * INC # B7: 4,6 => UNS * INC # C7: 4,6 => UNS * INC # F7: 4,7 => UNS * DIS # F9: 4,7 => CTR => F9: 5,8,9 * INC # F9: 5,8,9 => UNS * INC # B7: 4,7 => UNS * INC # B7: 1,2,3,6 => UNS * INC # E4: 4,7 => UNS * INC # E4: 8,9 => UNS * INC # G3: 3,5 => UNS * INC # G3: 4,6,9 => UNS * INC # F9: 5,7 => UNS * INC # F9: 4,8,9 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 2,6 => UNS * INC # B2: 5 => UNS * INC # H2: 2,6 => UNS * INC # H2: 5 => UNS * INC # C7: 2,6 => UNS * INC # C8: 2,6 => UNS * INC # B1: 2,8 => UNS * INC # B1: 4,9 => UNS * INC # B7: 4,6 => UNS * INC # C7: 4,6 => UNS * INC # F7: 4,7 => UNS * DIS # F9: 4,7 => CTR => F9: 5,8,9 * INC F9: 5,8,9 # F7: 4,7 => UNS * INC F9: 5,8,9 # F7: 2 => UNS * INC F9: 5,8,9 # E4: 4,7 => UNS * INC F9: 5,8,9 # E4: 8,9 => UNS * INC F9: 5,8,9 # G3: 3,5 => UNS * INC F9: 5,8,9 # G3: 4,6,9 => UNS * INC F9: 5,8,9 # B2: 2,6 => UNS * INC F9: 5,8,9 # B2: 5 => UNS * INC F9: 5,8,9 # H2: 2,6 => UNS * INC F9: 5,8,9 # H2: 5 => UNS * INC F9: 5,8,9 # C7: 2,6 => UNS * INC F9: 5,8,9 # C8: 2,6 => UNS * INC F9: 5,8,9 # B1: 2,8 => UNS * INC F9: 5,8,9 # B1: 4,9 => UNS * INC F9: 5,8,9 # F7: 4,7 => UNS * INC F9: 5,8,9 # F7: 2 => UNS * INC F9: 5,8,9 # E4: 4,7 => UNS * INC F9: 5,8,9 # E4: 8,9 => UNS * INC F9: 5,8,9 # G3: 3,5 => UNS * INC F9: 5,8,9 # G3: 4,6,9 => UNS * STA F9: 5,8,9 * CNT 32 HDP CHAINS / 32 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 2,6 => UNS * INC # B2: 5 => UNS * INC # H2: 2,6 => UNS * INC # H2: 5 => UNS * INC # C7: 2,6 => UNS * INC # C8: 2,6 => UNS * INC # B1: 2,8 => UNS * INC # B1: 4,9 => UNS * INC # F7: 4,7 => UNS * INC # F7: 2 => UNS * INC # E4: 4,7 => UNS * INC # E4: 8,9 => UNS * INC # G3: 3,5 => UNS * INC # G3: 4,6,9 => UNS * INC # B2: 2,6 # B7: 2,6 => UNS * INC # B2: 2,6 # B8: 2,6 => UNS * INC # B2: 2,6 # H5: 1,3 => UNS * INC # B2: 2,6 # H5: 8 => UNS * INC # B2: 2,6 # H6: 1,3 => UNS * INC # B2: 2,6 # H6: 8 => UNS * INC # B2: 2,6 # B7: 2,6 => UNS * INC # B2: 2,6 # B8: 2,6 => UNS * INC # B2: 2,6 => UNS * INC # B2: 5 # C7: 2,6 => UNS * INC # B2: 5 # C8: 2,6 => UNS * INC # B2: 5 # B1: 2,8 => UNS * INC # B2: 5 # B1: 4,9 => UNS * INC # B2: 5 # F7: 4,7 => UNS * INC # B2: 5 # F7: 2 => UNS * INC # B2: 5 # E4: 4,7 => UNS * INC # B2: 5 # E4: 8,9 => UNS * INC # B2: 5 # G3: 3,5 => UNS * DIS # B2: 5 # G3: 4,6,9 => CTR => G3: 3,5 * INC # B2: 5 + G3: 3,5 # C7: 2,6 => UNS * INC # B2: 5 + G3: 3,5 # C8: 2,6 => UNS * INC # B2: 5 + G3: 3,5 # B1: 2,8 => UNS * INC # B2: 5 + G3: 3,5 # B1: 4,9 => UNS * INC # B2: 5 + G3: 3,5 # A5: 4,9 => UNS * DIS # B2: 5 + G3: 3,5 # B5: 4,9 => CTR => B5: 1,3,8 * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 # B6: 4,9 => CTR => B6: 1,3,8 * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # C6: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B1: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B3: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B9: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # A5: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # C6: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B1: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B3: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # B9: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # F5: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # D6: 4,9 => UNS * DIS # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 # E2: 4,9 => CTR => E2: 3,8 * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # E3: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # E3: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # E3: 3,8 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # F5: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # D6: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # E3: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # E3: 3,8 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # A5: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # F5: 4,9 => UNS * INC # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # B5: 1,3 => UNS * PRF # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 # B5: 8 => SOL * STA # B2: 5 + G3: 3,5 + B5: 1,3,8 + B6: 1,3,8 + E2: 3,8 + B5: 8 * CNT 63 HDP CHAINS / 64 HYP OPENED