Analysis of xx-ph-00001001-H243-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....76....9....5.......4.....3...98..7.......2..1..65..8......3...4.....1.2. initial
Autosolve
position: 98.76....76....9....5.......4.....3...98..7.......2..1..65..8......3...4.....1.2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for H5,G6: 4..:
* DIS # H5: 4 # G4: 5,6 => CTR => G4: 2 * DIS # H5: 4 + G4: 2 # A5: 5,6 => CTR => A5: 1,2,3 * CNT 2 HDP CHAINS / 65 HYP OPENED
List of important HDP chains detected for F5,D6: 3..:
* DIS # F5: 3 # E2: 4,5 => CTR => E2: 1,2,8 * CNT 1 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for G4,I5: 2..:
* DIS # I5: 2 # G1: 3,5 => CTR => G1: 1,2,4 * DIS # I5: 2 + G1: 1,2,4 # G6: 5,6 => CTR => G6: 4 * PRF # I5: 2 + G1: 1,2,4 + G6: 4 # G9: 5,6 => SOL * STA # I5: 2 + G1: 1,2,4 + G6: 4 + G9: 5,6 * CNT 3 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.76....76....9....5.......4.....3...98..7.......2..1..65..8......3...4.....1.2. | initial |
| 98.76....76....9....5.......4.....3...98..7.......2..1..65..8......3...4.....1.2. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) I4: 8,9 H6: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,I5: 2.. / G4 = 2 => 3 pairs (_) / I5 = 2 => 4 pairs (_) E7,D8: 2.. / E7 = 2 => 3 pairs (_) / D8 = 2 => 2 pairs (_) F5,D6: 3.. / F5 = 3 => 3 pairs (_) / D6 = 3 => 4 pairs (_) H5,G6: 4.. / H5 = 4 => 5 pairs (_) / G6 = 4 => 3 pairs (_) H3,I3: 7.. / H3 = 7 => 3 pairs (_) / I3 = 7 => 3 pairs (_) I4,H6: 8.. / I4 = 8 => 1 pairs (_) / H6 = 8 => 3 pairs (_) F8,E9: 8.. / F8 = 8 => 3 pairs (_) / E9 = 8 => 2 pairs (_) I4,H6: 9.. / I4 = 9 => 3 pairs (_) / H6 = 9 => 1 pairs (_) * DURATION: 0:00:06.212627 START: 23:33:24.731805 END: 23:33:30.944432 2020-11-23 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H5,G6: 4.. / H5 = 4 ==> 6 pairs (_) / G6 = 4 ==> 3 pairs (_) F5,D6: 3.. / F5 = 3 ==> 3 pairs (_) / D6 = 3 ==> 4 pairs (_) G4,I5: 2.. / G4 = 2 => 0 pairs (X) / I5 = 2 ==> 0 pairs (*) * DURATION: 0:00:57.526646 START: 23:33:31.701849 END: 23:34:29.228495 2020-11-23 * REASONING H5,G6: 4.. * DIS # H5: 4 # G4: 5,6 => CTR => G4: 2 * DIS # H5: 4 + G4: 2 # A5: 5,6 => CTR => A5: 1,2,3 * CNT 2 HDP CHAINS / 65 HYP OPENED * REASONING F5,D6: 3.. * DIS # F5: 3 # E2: 4,5 => CTR => E2: 1,2,8 * CNT 1 HDP CHAINS / 20 HYP OPENED * REASONING G4,I5: 2.. * DIS # I5: 2 # G1: 3,5 => CTR => G1: 1,2,4 * DIS # I5: 2 + G1: 1,2,4 # G6: 5,6 => CTR => G6: 4 * PRF # I5: 2 + G1: 1,2,4 + G6: 4 # G9: 5,6 => SOL * STA # I5: 2 + G1: 1,2,4 + G6: 4 + G9: 5,6 * CNT 3 HDP CHAINS / 15 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1001;H243;GP;22;11.30;11.30;3.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H5,G6: 4..:
* INC # H5: 4 # G1: 1,5 => UNS * INC # H5: 4 # H2: 1,5 => UNS * INC # H5: 4 # H8: 1,5 => UNS * INC # H5: 4 # H8: 6,7,9 => UNS * INC # H5: 4 # E4: 1,5 => UNS * INC # H5: 4 # E4: 7,9 => UNS * INC # H5: 4 # A5: 1,5 => UNS * INC # H5: 4 # B5: 1,5 => UNS * INC # H5: 4 # E2: 1,5 => UNS * INC # H5: 4 # E2: 2,4,8 => UNS * DIS # H5: 4 # G4: 5,6 => CTR => G4: 2 * INC # H5: 4 + G4: 2 # A6: 5,6 => UNS * INC # H5: 4 + G4: 2 # A6: 3,8 => UNS * INC # H5: 4 + G4: 2 # G8: 5,6 => UNS * INC # H5: 4 + G4: 2 # G9: 5,6 => UNS * INC # H5: 4 + G4: 2 # G1: 1,5 => UNS * INC # H5: 4 + G4: 2 # H2: 1,5 => UNS * INC # H5: 4 + G4: 2 # H8: 1,5 => UNS * INC # H5: 4 + G4: 2 # H8: 6,7,9 => UNS * INC # H5: 4 + G4: 2 # E4: 1,5 => UNS * INC # H5: 4 + G4: 2 # E4: 7,9 => UNS * INC # H5: 4 + G4: 2 # A5: 1,5 => UNS * INC # H5: 4 + G4: 2 # B5: 1,5 => UNS * INC # H5: 4 + G4: 2 # E2: 1,5 => UNS * INC # H5: 4 + G4: 2 # E2: 2,4,8 => UNS * DIS # H5: 4 + G4: 2 # A5: 5,6 => CTR => A5: 1,2,3 * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 3 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 3,7,9 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 3 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 3,7,9 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # A6: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # A6: 3,8 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # G8: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # G9: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # G1: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # H2: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # H8: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # H8: 6,7,9 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # E4: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # E4: 7,9 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # B5: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # B5: 2,3 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # E2: 1,5 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # E2: 2,4,8 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # F5: 3 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # I9: 3,7,9 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # A6: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # A6: 3,8 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # G8: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 # G9: 5,6 => UNS * INC # H5: 4 + G4: 2 + A5: 1,2,3 => UNS * INC # G6: 4 # G4: 5,6 => UNS * INC # G6: 4 # I5: 5,6 => UNS * INC # G6: 4 # A5: 5,6 => UNS * INC # G6: 4 # F5: 5,6 => UNS * INC # G6: 4 # H8: 5,6 => UNS * INC # G6: 4 # H8: 1,7,9 => UNS * INC # G6: 4 => UNS * CNT 65 HDP CHAINS / 65 HYP OPENED
Full list of HDP chains traversed for F5,D6: 3..:
* INC # D6: 3 # E6: 5,7 => UNS * INC # D6: 3 # E6: 4,9 => UNS * INC # D6: 3 # B8: 5,7 => UNS * INC # D6: 3 # B9: 5,7 => UNS * INC # D6: 3 # C4: 7,8 => UNS * INC # D6: 3 # C4: 1,2 => UNS * INC # D6: 3 # C8: 7,8 => UNS * INC # D6: 3 # C9: 7,8 => UNS * INC # D6: 3 => UNS * DIS # F5: 3 # E2: 4,5 => CTR => E2: 1,2,8 * INC # F5: 3 + E2: 1,2,8 # F2: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # F2: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # F2: 8 => UNS * INC # F5: 3 + E2: 1,2,8 # G1: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # H1: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # F2: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # F2: 8 => UNS * INC # F5: 3 + E2: 1,2,8 # G1: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 # H1: 4,5 => UNS * INC # F5: 3 + E2: 1,2,8 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for G4,I5: 2..:
* DIS # I5: 2 # G1: 3,5 => CTR => G1: 1,2,4 * INC # I5: 2 + G1: 1,2,4 # I2: 3,5 => UNS * INC # I5: 2 + G1: 1,2,4 # I2: 3,5 => UNS * INC # I5: 2 + G1: 1,2,4 # I2: 8 => UNS * INC # I5: 2 + G1: 1,2,4 # F1: 3,5 => UNS * INC # I5: 2 + G1: 1,2,4 # F1: 4 => UNS * INC # I5: 2 + G1: 1,2,4 # I9: 3,5 => UNS * INC # I5: 2 + G1: 1,2,4 # I9: 6,7,9 => UNS * INC # I5: 2 + G1: 1,2,4 # H5: 5,6 => UNS * DIS # I5: 2 + G1: 1,2,4 # G6: 5,6 => CTR => G6: 4 * INC # I5: 2 + G1: 1,2,4 + G6: 4 # A4: 5,6 => UNS * INC # I5: 2 + G1: 1,2,4 + G6: 4 # F4: 5,6 => UNS * INC # I5: 2 + G1: 1,2,4 + G6: 4 # G8: 5,6 => UNS * PRF # I5: 2 + G1: 1,2,4 + G6: 4 # G9: 5,6 => SOL * STA # I5: 2 + G1: 1,2,4 + G6: 4 + G9: 5,6 * CNT 14 HDP CHAINS / 15 HYP OPENED