Analysis of xx-mith-te3-00042511-base.sdk
Contents
Original Sudoku
level: hard
position: .23....8.4.6......7.91.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 initial
Autosolve
position: .23....8.4.6......7.91.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B2: 8 => CTR => B2: 1,5 * CNT 1 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B2: 8 => CTR => B2: 1,5 * STA B2: 1,5 * CNT 1 HDP CHAINS / 48 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23....8.4.6......7891.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:20.707341
The following important HDP chains were detected:
* DIS # G1: 4,6,7 # I1: 4,6 => CTR => I1: 7,9 * DIS # G1: 4,6,7 + I1: 7,9 # B6: 4,7 => CTR => B6: 1,6,9 * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 # C6: 4,7 => CTR => C6: 1 * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 # E4: 4,7 => CTR => E4: 6,8 * PRF # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 # G4: 4,7 => SOL * STA # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 + G4: 4,7 * CNT 5 HDP CHAINS / 81 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23....8.4.6......7.91.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 | initial |
| .23....8.4.6......7.91.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 | autosolve |
| .23....8.4.6......7891.2........1.95...9..31....3.58.2..25.89.1....93.....521..38 | pair_reduction |
| 123456789456789123789132564237861495548927316691345872362578941814693257975214638 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A1: 1,5 B3: 5,8 D2: 7,8 F2: 7,9 A7: 3,6 A9: 6,9 G8: 2,5 H8: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B2: 1.. / A1 = 1 => 8 pairs (_) / B2 = 1 => 14 pairs (_) G1,G2: 1.. / G1 = 1 => 14 pairs (_) / G2 = 1 => 8 pairs (_) A1,G1: 1.. / A1 = 1 => 8 pairs (_) / G1 = 1 => 14 pairs (_) B2,G2: 1.. / B2 = 1 => 14 pairs (_) / G2 = 1 => 8 pairs (_) C6,C8: 1.. / C6 = 1 => 10 pairs (_) / C8 = 1 => 13 pairs (_) G2,H2: 2.. / G2 = 2 => 14 pairs (_) / H2 = 2 => 7 pairs (_) A4,A5: 2.. / A4 = 2 => 8 pairs (_) / A5 = 2 => 13 pairs (_) E4,E5: 2.. / E4 = 2 => 13 pairs (_) / E5 = 2 => 8 pairs (_) G8,H8: 2.. / G8 = 2 => 7 pairs (_) / H8 = 2 => 14 pairs (_) A4,E4: 2.. / A4 = 2 => 8 pairs (_) / E4 = 2 => 13 pairs (_) A5,E5: 2.. / A5 = 2 => 13 pairs (_) / E5 = 2 => 8 pairs (_) G2,G8: 2.. / G2 = 2 => 14 pairs (_) / G8 = 2 => 7 pairs (_) H2,H8: 2.. / H2 = 2 => 7 pairs (_) / H8 = 2 => 14 pairs (_) E2,E3: 3.. / E2 = 3 => 12 pairs (_) / E3 = 3 => 10 pairs (_) I2,I3: 3.. / I2 = 3 => 10 pairs (_) / I3 = 3 => 12 pairs (_) A4,B4: 3.. / A4 = 3 => 14 pairs (_) / B4 = 3 => 7 pairs (_) A7,B7: 3.. / A7 = 3 => 7 pairs (_) / B7 = 3 => 14 pairs (_) E2,I2: 3.. / E2 = 3 => 12 pairs (_) / I2 = 3 => 10 pairs (_) E3,I3: 3.. / E3 = 3 => 10 pairs (_) / I3 = 3 => 12 pairs (_) A4,A7: 3.. / A4 = 3 => 14 pairs (_) / A7 = 3 => 7 pairs (_) B4,B7: 3.. / B4 = 3 => 7 pairs (_) / B7 = 3 => 14 pairs (_) A5,B5: 5.. / A5 = 5 => 8 pairs (_) / B5 = 5 => 14 pairs (_) G8,H8: 5.. / G8 = 5 => 14 pairs (_) / H8 = 5 => 7 pairs (_) A1,A5: 5.. / A1 = 5 => 14 pairs (_) / A5 = 5 => 8 pairs (_) B2,B3: 8.. / B2 = 8 => 0 pairs (X) / B3 = 8 => 8 pairs (_) A8,C8: 8.. / A8 = 8 => 8 pairs (_) / C8 = 8 => 17 pairs (_) B3,E3: 8.. / B3 = 8 => 8 pairs (_) / E3 = 8 => 0 pairs (X) D2,D4: 8.. / D2 = 8 => 9 pairs (_) / D4 = 8 => 10 pairs (_) F1,F2: 9.. / F1 = 9 => 13 pairs (_) / F2 = 9 => 8 pairs (_) I1,I2: 9.. / I1 = 9 => 8 pairs (_) / I2 = 9 => 13 pairs (_) A6,B6: 9.. / A6 = 9 => 11 pairs (_) / B6 = 9 => 8 pairs (_) A9,B9: 9.. / A9 = 9 => 8 pairs (_) / B9 = 9 => 11 pairs (_) F1,I1: 9.. / F1 = 9 => 13 pairs (_) / I1 = 9 => 8 pairs (_) F2,I2: 9.. / F2 = 9 => 8 pairs (_) / I2 = 9 => 13 pairs (_) A6,A9: 9.. / A6 = 9 => 11 pairs (_) / A9 = 9 => 8 pairs (_) B6,B9: 9.. / B6 = 9 => 8 pairs (_) / B9 = 9 => 11 pairs (_) * DURATION: 0:00:09.960813 START: 07:55:44.853724 END: 07:55:54.814537 2025-04-06 * CP COUNT: (36) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:20.472058 START: 07:56:06.662090 END: 07:56:27.134148 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00042511-base-pr-002.dot * REASONING * DIS # G1: 4,6,7 # I1: 4,6 => CTR => I1: 7,9 * DIS # G1: 4,6,7 + I1: 7,9 # B6: 4,7 => CTR => B6: 1,6,9 * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 # C6: 4,7 => CTR => C6: 1 * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 # E4: 4,7 => CTR => E4: 6,8 * PRF # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 # G4: 4,7 => SOL * STA # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 + G4: 4,7 * CNT 5 HDP CHAINS / 81 HYP OPENED
Header Info
rating: 8826; r2: 258596; index: 42511
Solution
position: 123456789456789123789132564237861495548927316691345872362578941814693257975214638 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: 1,5 => UNS * DIS # B2: 8 => CTR => B2: 1,5 * INC # G1: 1,5 => UNS * INC # G1: 4,6,7 => UNS * INC # B2: 5,8 => UNS * INC # B2: 1 => UNS * INC # E3: 5,8 => UNS * INC # E3: 3,4,6 => UNS * INC # E2: 7,8 => UNS * INC # E2: 3,5 => UNS * INC # D4: 7,8 => UNS * INC # D4: 4,6 => UNS * INC # F1: 7,9 => UNS * INC # F1: 4,6 => UNS * INC # I2: 7,9 => UNS * INC # I2: 3 => UNS * INC # B7: 3,6 => UNS * INC # B7: 4,7 => UNS * INC # A4: 3,6 => UNS * INC # A4: 2,8 => UNS * INC # B9: 6,9 => UNS * INC # B9: 4,7 => UNS * INC # A6: 6,9 => UNS * INC # A6: 1 => UNS * INC # G2: 2,5 => UNS * INC # G2: 1,7 => UNS * INC # H2: 2,5 => UNS * INC # H2: 7 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 1,5 => UNS * DIS # B2: 8 => CTR => B2: 1,5 * INC B2: 1,5 # G1: 1,5 => UNS * INC B2: 1,5 # G1: 4,6,7 => UNS * INC B2: 1,5 # E2: 7,8 => UNS * INC B2: 1,5 # E2: 3,5 => UNS * INC B2: 1,5 # D4: 7,8 => UNS * INC B2: 1,5 # D4: 4,6 => UNS * INC B2: 1,5 # F1: 7,9 => UNS * INC B2: 1,5 # F1: 4,6 => UNS * INC B2: 1,5 # I2: 7,9 => UNS * INC B2: 1,5 # I2: 3 => UNS * INC B2: 1,5 # B7: 3,6 => UNS * INC B2: 1,5 # B7: 4,7 => UNS * INC B2: 1,5 # A4: 3,6 => UNS * INC B2: 1,5 # A4: 2,8 => UNS * INC B2: 1,5 # B9: 6,9 => UNS * INC B2: 1,5 # B9: 4,7 => UNS * INC B2: 1,5 # A6: 6,9 => UNS * INC B2: 1,5 # A6: 1 => UNS * INC B2: 1,5 # G2: 2,5 => UNS * INC B2: 1,5 # G2: 1,7 => UNS * INC B2: 1,5 # H2: 2,5 => UNS * INC B2: 1,5 # H2: 7 => UNS * INC B2: 1,5 # G1: 1,5 => UNS * INC B2: 1,5 # G1: 4,6,7 => UNS * INC B2: 1,5 # G2: 1,5 => UNS * INC B2: 1,5 # G2: 2,7 => UNS * INC B2: 1,5 # E2: 7,8 => UNS * INC B2: 1,5 # E2: 3,5 => UNS * INC B2: 1,5 # D4: 7,8 => UNS * INC B2: 1,5 # D4: 4,6 => UNS * INC B2: 1,5 # F1: 7,9 => UNS * INC B2: 1,5 # F1: 4,6 => UNS * INC B2: 1,5 # I2: 7,9 => UNS * INC B2: 1,5 # I2: 3 => UNS * INC B2: 1,5 # B7: 3,6 => UNS * INC B2: 1,5 # B7: 4,7 => UNS * INC B2: 1,5 # A4: 3,6 => UNS * INC B2: 1,5 # A4: 2,8 => UNS * INC B2: 1,5 # B9: 6,9 => UNS * INC B2: 1,5 # B9: 4,7 => UNS * INC B2: 1,5 # A6: 6,9 => UNS * INC B2: 1,5 # A6: 1 => UNS * INC B2: 1,5 # G2: 2,5 => UNS * INC B2: 1,5 # G2: 1,7 => UNS * INC B2: 1,5 # H2: 2,5 => UNS * INC B2: 1,5 # H2: 7 => UNS * STA B2: 1,5 * CNT 48 HDP CHAINS / 48 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,5 => UNS * INC # G1: 4,6,7 => UNS * INC # G2: 1,5 => UNS * INC # G2: 2,7 => UNS * INC # E2: 7,8 => UNS * INC # E2: 3,5 => UNS * INC # D4: 7,8 => UNS * INC # D4: 4,6 => UNS * INC # F1: 7,9 => UNS * INC # F1: 4,6 => UNS * INC # I2: 7,9 => UNS * INC # I2: 3 => UNS * INC # B7: 3,6 => UNS * INC # B7: 4,7 => UNS * INC # A4: 3,6 => UNS * INC # A4: 2,8 => UNS * INC # B9: 6,9 => UNS * INC # B9: 4,7 => UNS * INC # A6: 6,9 => UNS * INC # A6: 1 => UNS * INC # G2: 2,5 => UNS * INC # G2: 1,7 => UNS * INC # H2: 2,5 => UNS * INC # H2: 7 => UNS * INC # G1: 1,5 # G2: 1,5 => UNS * INC # G1: 1,5 # G2: 2,7 => UNS * INC # G1: 1,5 # F1: 7,9 => UNS * INC # G1: 1,5 # F1: 4,6 => UNS * INC # G1: 1,5 # I2: 7,9 => UNS * INC # G1: 1,5 # I2: 3 => UNS * INC # G1: 1,5 # G2: 1,5 => UNS * INC # G1: 1,5 # G2: 2,7 => UNS * INC # G1: 1,5 # I2: 7,9 => UNS * INC # G1: 1,5 # I2: 3 => UNS * INC # G1: 1,5 # F1: 7,9 => UNS * INC # G1: 1,5 # F1: 4,6 => UNS * INC # G1: 1,5 # A4: 2,8 => UNS * INC # G1: 1,5 # A4: 3,6 => UNS * INC # G1: 1,5 # A5: 2,8 => UNS * INC # G1: 1,5 # A5: 5,6 => UNS * INC # G1: 1,5 # B7: 3,6 => UNS * INC # G1: 1,5 # B7: 4,7 => UNS * INC # G1: 1,5 # A4: 3,6 => UNS * INC # G1: 1,5 # A4: 2,8 => UNS * INC # G1: 1,5 # B9: 6,9 => UNS * INC # G1: 1,5 # B9: 4,7 => UNS * INC # G1: 1,5 # A6: 6,9 => UNS * INC # G1: 1,5 # A6: 1 => UNS * INC # G1: 1,5 # G2: 2,5 => UNS * INC # G1: 1,5 # G2: 1,7 => UNS * INC # G1: 1,5 # H2: 2,5 => UNS * INC # G1: 1,5 # H2: 7 => UNS * INC # G1: 1,5 => UNS * INC # G1: 4,6,7 # E2: 7,8 => UNS * INC # G1: 4,6,7 # E2: 3 => UNS * INC # G1: 4,6,7 # D4: 7,8 => UNS * INC # G1: 4,6,7 # D4: 4,6 => UNS * INC # G1: 4,6,7 # F1: 7,9 => UNS * INC # G1: 4,6,7 # F1: 4,6 => UNS * INC # G1: 4,6,7 # I2: 7,9 => UNS * INC # G1: 4,6,7 # I2: 3 => UNS * INC # G1: 4,6,7 # G1: 4,6 => UNS * DIS # G1: 4,6,7 # I1: 4,6 => CTR => I1: 7,9 * INC # G1: 4,6,7 + I1: 7,9 # I3: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # E3: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # E3: 3 => UNS * INC # G1: 4,6,7 + I1: 7,9 # H6: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # H7: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # G1: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # I3: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # E3: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # E3: 3 => UNS * INC # G1: 4,6,7 + I1: 7,9 # H6: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # H7: 4,6 => UNS * INC # G1: 4,6,7 + I1: 7,9 # B5: 4,7 => UNS * DIS # G1: 4,6,7 + I1: 7,9 # B6: 4,7 => CTR => B6: 1,6,9 * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 # C6: 4,7 => CTR => C6: 1 * INC # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 # D4: 4,7 => UNS * DIS # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 # E4: 4,7 => CTR => E4: 6,8 * PRF # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 # G4: 4,7 => SOL * STA # G1: 4,6,7 + I1: 7,9 + B6: 1,6,9 + C6: 1 + E4: 6,8 + G4: 4,7 * CNT 80 HDP CHAINS / 81 HYP OPENED