Analysis of xx-mith-te3-00075149-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... initial
Autosolve
position: 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I7: 3,9 => CTR => I7: 1,8 * CNT 1 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I7: 3,9 => CTR => I7: 1,8 * STA I7: 1,8 * CNT 1 HDP CHAINS / 59 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:06.390730
The following important HDP chains were detected:
* DIS # E8: 1,8 # C3: 2,4 => CTR => C3: 9 * DIS # E8: 1,8 + C3: 9 # F2: 2,4 => CTR => F2: 9 * PRF # E8: 1,8 + C3: 9 + F2: 9 => SOL * STA E8: 1,8 * CNT 3 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... | initial |
| 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... | autosolve |
| 1.3...78..57.....6...37.1.5..8....6.37...85..5.6..18.....24..5....9..67..35...... | pair_reduction |
| 123456789457189236689372145218594367374628591596731824761243958842915673935867412 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) D2: 1,8 E2: 1,8 D5: 4,6 D6: 4,7 C7: 1,9 F8: 3,5 D9: 1,8 F9: 6,7 G7: 3,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 7 pairs (_) / E2 = 1 => 7 pairs (_) B4,C5: 1.. / B4 = 1 => 9 pairs (_) / C5 = 1 => 0 pairs (X) B4,I4: 1.. / B4 = 1 => 9 pairs (_) / I4 = 1 => 0 pairs (X) D2,D9: 1.. / D2 = 1 => 7 pairs (_) / D9 = 1 => 7 pairs (_) H5,H9: 1.. / H5 = 1 => 9 pairs (_) / H9 = 1 => 9 pairs (_) G2,H2: 3.. / G2 = 3 => 0 pairs (X) / H2 = 3 => 9 pairs (_) H2,H6: 3.. / H2 = 3 => 9 pairs (_) / H6 = 3 => 0 pairs (X) E8,F8: 5.. / E8 = 5 => 16 pairs (_) / F8 = 5 => 8 pairs (_) D1,D4: 5.. / D1 = 5 => 10 pairs (_) / D4 = 5 => 9 pairs (_) D5,E5: 6.. / D5 = 6 => 10 pairs (_) / E5 = 6 => 17 pairs (_) D1,D5: 6.. / D1 = 6 => 17 pairs (_) / D5 = 6 => 10 pairs (_) D4,D6: 7.. / D4 = 7 => 9 pairs (_) / D6 = 7 => 9 pairs (_) I4,I6: 7.. / I4 = 7 => 9 pairs (_) / I6 = 7 => 9 pairs (_) A7,A9: 7.. / A7 = 7 => 9 pairs (_) / A9 = 7 => 15 pairs (_) F7,F9: 7.. / F7 = 7 => 15 pairs (_) / F9 = 7 => 9 pairs (_) D4,I4: 7.. / D4 = 7 => 9 pairs (_) / I4 = 7 => 9 pairs (_) D6,I6: 7.. / D6 = 7 => 9 pairs (_) / I6 = 7 => 9 pairs (_) A7,F7: 7.. / A7 = 7 => 9 pairs (_) / F7 = 7 => 15 pairs (_) A9,F9: 7.. / A9 = 7 => 15 pairs (_) / F9 = 7 => 9 pairs (_) A3,B3: 8.. / A3 = 8 => 19 pairs (_) / B3 = 8 => 9 pairs (_) D2,E2: 8.. / D2 = 8 => 7 pairs (_) / E2 = 8 => 7 pairs (_) D2,D9: 8.. / D2 = 8 => 7 pairs (_) / D9 = 8 => 7 pairs (_) * DURATION: 0:00:05.299808 START: 10:31:55.132075 END: 10:32:00.431883 2025-04-06 * CP COUNT: (22) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.228586 START: 10:32:14.142984 END: 10:32:20.371570 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00075149-base-pr-002.dot * REASONING * DIS # E8: 1,8 # C3: 2,4 => CTR => C3: 9 * DIS # E8: 1,8 + C3: 9 # F2: 2,4 => CTR => F2: 9 * PRF # E8: 1,8 + C3: 9 + F2: 9 => SOL * STA E8: 1,8 * CNT 3 HDP CHAINS / 34 HYP OPENED
Header Info
rating: 17199; r2: 846739; index: 75149
Solution
position: 123456789457189236689372145218594367374628591596731824761243958842915673935867412 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 # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # D1: 4,6 => UNS * INC # D1: 5 => UNS * INC # D4: 4,7 => UNS * INC # D4: 5 => UNS * INC # I6: 4,7 => UNS * INC # I6: 2,3,9 => UNS * INC # B7: 1,9 => UNS * INC # B7: 6,8 => UNS * INC # I7: 1,9 => UNS * INC # I7: 3,8 => UNS * INC # C5: 1,9 => UNS * INC # C5: 2,4 => UNS * INC # E8: 3,5 => UNS * INC # E8: 1,8 => UNS * INC # F4: 3,5 => UNS * INC # F4: 2,4,9 => UNS * INC # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # I9: 1,8 => UNS * INC # I9: 2,4,9 => UNS * INC # F7: 6,7 => UNS * INC # F7: 3 => UNS * INC # A9: 6,7 => UNS * INC # A9: 2,4,8,9 => UNS * DIS # I7: 3,9 => CTR => I7: 1,8 * INC # I7: 1,8 => UNS * INC # G2: 3,9 => UNS * INC # G4: 3,9 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # D1: 4,6 => UNS * INC # D1: 5 => UNS * INC # D4: 4,7 => UNS * INC # D4: 5 => UNS * INC # I6: 4,7 => UNS * INC # I6: 2,3,9 => UNS * INC # B7: 1,9 => UNS * INC # B7: 6,8 => UNS * INC # I7: 1,9 => UNS * INC # I7: 3,8 => UNS * INC # C5: 1,9 => UNS * INC # C5: 2,4 => UNS * INC # E8: 3,5 => UNS * INC # E8: 1,8 => UNS * INC # F4: 3,5 => UNS * INC # F4: 2,4,9 => UNS * INC # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # I9: 1,8 => UNS * INC # I9: 2,4,9 => UNS * INC # F7: 6,7 => UNS * INC # F7: 3 => UNS * INC # A9: 6,7 => UNS * INC # A9: 2,4,8,9 => UNS * DIS # I7: 3,9 => CTR => I7: 1,8 * INC I7: 1,8 # G2: 3,9 => UNS * INC I7: 1,8 # G4: 3,9 => UNS * INC I7: 1,8 # E8: 1,8 => UNS * INC I7: 1,8 # E9: 1,8 => UNS * INC I7: 1,8 # D1: 4,6 => UNS * INC I7: 1,8 # D1: 5 => UNS * INC I7: 1,8 # D4: 4,7 => UNS * INC I7: 1,8 # D4: 5 => UNS * INC I7: 1,8 # I6: 4,7 => UNS * INC I7: 1,8 # I6: 2,3,9 => UNS * INC I7: 1,8 # B7: 1,9 => UNS * INC I7: 1,8 # B7: 6,8 => UNS * INC I7: 1,8 # C5: 1,9 => UNS * INC I7: 1,8 # C5: 2,4 => UNS * INC I7: 1,8 # E8: 3,5 => UNS * INC I7: 1,8 # E8: 1,8 => UNS * INC I7: 1,8 # F4: 3,5 => UNS * INC I7: 1,8 # F4: 2,4,9 => UNS * INC I7: 1,8 # E8: 1,8 => UNS * INC I7: 1,8 # E9: 1,8 => UNS * INC I7: 1,8 # I9: 1,8 => UNS * INC I7: 1,8 # I9: 2,4,9 => UNS * INC I7: 1,8 # F7: 6,7 => UNS * INC I7: 1,8 # F7: 3 => UNS * INC I7: 1,8 # A9: 6,7 => UNS * INC I7: 1,8 # A9: 2,4,8,9 => UNS * INC I7: 1,8 # G2: 3,9 => UNS * INC I7: 1,8 # G4: 3,9 => UNS * INC I7: 1,8 # I8: 1,8 => UNS * INC I7: 1,8 # I9: 1,8 => UNS * INC I7: 1,8 # B7: 1,8 => UNS * INC I7: 1,8 # B7: 6,9 => UNS * STA I7: 1,8 * CNT 59 HDP CHAINS / 59 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # D1: 4,6 => UNS * INC # D1: 5 => UNS * INC # D4: 4,7 => UNS * INC # D4: 5 => UNS * INC # I6: 4,7 => UNS * INC # I6: 2,3,9 => UNS * INC # B7: 1,9 => UNS * INC # B7: 6,8 => UNS * INC # C5: 1,9 => UNS * INC # C5: 2,4 => UNS * INC # E8: 3,5 => UNS * INC # E8: 1,8 => UNS * INC # F4: 3,5 => UNS * INC # F4: 2,4,9 => UNS * INC # E8: 1,8 => UNS * INC # E9: 1,8 => UNS * INC # I9: 1,8 => UNS * INC # I9: 2,4,9 => UNS * INC # F7: 6,7 => UNS * INC # F7: 3 => UNS * INC # A9: 6,7 => UNS * INC # A9: 2,4,8,9 => UNS * INC # G2: 3,9 => UNS * INC # G4: 3,9 => UNS * INC # I8: 1,8 => UNS * INC # I9: 1,8 => UNS * INC # B7: 1,8 => UNS * INC # B7: 6,9 => UNS * INC # E8: 1,8 # B1: 2,4 => UNS * DIS # E8: 1,8 # C3: 2,4 => CTR => C3: 9 * DIS # E8: 1,8 + C3: 9 # F2: 2,4 => CTR => F2: 9 * PRF # E8: 1,8 + C3: 9 + F2: 9 => SOL * STA E8: 1,8 * CNT 34 HDP CHAINS / 34 HYP OPENED