Analysis of xx-mith-te3-00069591-base.sdk
Contents
Original Sudoku
level: hard
position: 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 initial
Autosolve
position: 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I2: 5,9 => CTR => I2: 1,4,6,7 * DIS # F7: 4,9 => CTR => F7: 2,8 * CNT 2 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I2: 5,9 => CTR => I2: 1,4,6,7 * DIS I2: 1,4,6,7 # F7: 4,9 => CTR => F7: 2,8 * STA I2: 1,4,6,7 + F7: 2,8 * CNT 2 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.821757
The following important HDP chains were detected:
* DIS # D3: 2 # C7: 3,7 => CTR => C7: 4,6 * PRF # D3: 2 + C7: 4,6 => SOL * STA D3: 2 * CNT 2 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 | initial |
| 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 | autosolve |
| 1..4.6.......8.23......7.....8.9.15.5......989.1...3.2.1........953.182.8.25...13 | pair_reduction |
| 123456789457189236689237541248693157536712498971845362314928675795361824862574913 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) D2: 1,9 F2: 5,9 H1: 7,8 F9: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I2,I3: 1.. / I2 = 1 => 10 pairs (_) / I3 = 1 => 4 pairs (_) D5,E5: 1.. / D5 = 1 => 0 pairs (X) / E5 = 1 => 4 pairs (_) D2,I2: 1.. / D2 = 1 => 4 pairs (_) / I2 = 1 => 10 pairs (_) E3,E5: 1.. / E3 = 1 => 0 pairs (X) / E5 = 1 => 4 pairs (_) B1,E1: 2.. / B1 = 2 => 16 pairs (_) / E1 = 2 => 12 pairs (_) A3,A4: 2.. / A3 = 2 => 12 pairs (_) / A4 = 2 => 16 pairs (_) E1,E3: 3.. / E1 = 3 => 0 pairs (X) / E3 = 3 => 5 pairs (_) F4,F5: 3.. / F4 = 3 => 5 pairs (_) / F5 = 3 => 5 pairs (_) A7,C7: 3.. / A7 = 3 => 4 pairs (_) / C7 = 3 => 0 pairs (X) E6,F6: 5.. / E6 = 5 => 12 pairs (_) / F6 = 5 => 16 pairs (_) G7,I7: 5.. / G7 = 5 => 5 pairs (_) / I7 = 5 => 6 pairs (_) F2,F6: 5.. / F2 = 5 => 12 pairs (_) / F6 = 5 => 16 pairs (_) B1,B3: 8.. / B1 = 8 => 14 pairs (_) / B3 = 8 => 4 pairs (_) H1,H3: 8.. / H1 = 8 => 4 pairs (_) / H3 = 8 => 14 pairs (_) D6,F6: 8.. / D6 = 8 => 8 pairs (_) / F6 = 8 => 12 pairs (_) D7,F7: 8.. / D7 = 8 => 12 pairs (_) / F7 = 8 => 8 pairs (_) B1,H1: 8.. / B1 = 8 => 14 pairs (_) / H1 = 8 => 4 pairs (_) B3,H3: 8.. / B3 = 8 => 4 pairs (_) / H3 = 8 => 14 pairs (_) D6,D7: 8.. / D6 = 8 => 8 pairs (_) / D7 = 8 => 12 pairs (_) F6,F7: 8.. / F6 = 8 => 12 pairs (_) / F7 = 8 => 8 pairs (_) F9,G9: 9.. / F9 = 9 => 12 pairs (_) / G9 = 9 => 16 pairs (_) * DURATION: 0:00:05.294199 START: 19:02:19.922367 END: 19:02:25.216566 2025-04-04 * CP COUNT: (21) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.702591 START: 19:02:30.249257 END: 19:02:34.951848 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00069591-base-pr-002.dot * REASONING * DIS # D3: 2 # C7: 3,7 => CTR => C7: 4,6 * PRF # D3: 2 + C7: 4,6 => SOL * STA D3: 2 * CNT 2 HDP CHAINS / 19 HYP OPENED
Header Info
rating: 15383; r2: 430313; index: 69591
Solution
position: 123456789457189236689237541248693157536712498971845362314928675795361824862574913 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 # D3: 1,9 => UNS * INC # D3: 2 => UNS * INC # I2: 1,9 => UNS * INC # I2: 4,5,6,7 => UNS * DIS # I2: 5,9 => CTR => I2: 1,4,6,7 * INC # I2: 1,4,6,7 => UNS * INC # B1: 7,8 => UNS * INC # B1: 2,3,5 => UNS * DIS # F7: 4,9 => CTR => F7: 2,8 * INC # F7: 2,8 => UNS * INC # G9: 4,9 => UNS * INC # G9: 6,7 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 1,9 => UNS * INC # D3: 2 => UNS * INC # I2: 1,9 => UNS * INC # I2: 4,5,6,7 => UNS * DIS # I2: 5,9 => CTR => I2: 1,4,6,7 * INC I2: 1,4,6,7 # B1: 7,8 => UNS * INC I2: 1,4,6,7 # B1: 2,3,5 => UNS * DIS I2: 1,4,6,7 # F7: 4,9 => CTR => F7: 2,8 * INC I2: 1,4,6,7 + F7: 2,8 # G9: 4,9 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # G9: 6,7 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # D3: 1,9 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # D3: 2 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # B1: 7,8 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # B1: 2,3,5 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # D7: 2,8 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # D7: 6,7,9 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # G9: 4,9 => UNS * INC I2: 1,4,6,7 + F7: 2,8 # G9: 6,7 => UNS * STA I2: 1,4,6,7 + F7: 2,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 1,9 => UNS * INC # D3: 2 => UNS * INC # B1: 7,8 => UNS * INC # B1: 2,3,5 => UNS * INC # D7: 2,8 => UNS * INC # D7: 6,7,9 => UNS * INC # G9: 4,9 => UNS * INC # G9: 6,7 => UNS * INC # D3: 1,9 # F4: 2,3 => UNS * INC # D3: 1,9 # F4: 4 => UNS * INC # D3: 1,9 # F5: 2,3 => UNS * INC # D3: 1,9 # F5: 4 => UNS * INC # D3: 1,9 # G1: 5,9 => UNS * INC # D3: 1,9 # G1: 7 => UNS * INC # D3: 1,9 # I1: 5,9 => UNS * INC # D3: 1,9 # I1: 7 => UNS * INC # D3: 1,9 => UNS * DIS # D3: 2 # C7: 3,7 => CTR => C7: 4,6 * PRF # D3: 2 + C7: 4,6 => SOL * STA D3: 2 * CNT 19 HDP CHAINS / 19 HYP OPENED