Analysis of xx-ph-00029672-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75..6......6..8...4..3...2...5.7.9.......2..4.7......1..9.8.5.....1...3. initial
Autosolve
position: 98.7..6..75..6......6..8...4..3...2...5.7.9.......2..4.7......1..9.8.5.....1...3. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for F8,F9: 7..:
* DIS # F8: 7 # H7: 4,6 => CTR => H7: 8,9 * DIS # F8: 7 + H7: 8,9 # I9: 2,6 => CTR => I9: 7,8,9 * CNT 2 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for I5,G6: 3..:
* DIS # G6: 3 # A7: 2,3 => CTR => A7: 5,6,8 * CNT 1 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for A5,B5: 2..:
* DIS # A5: 2 # B3: 1,3 => CTR => B3: 2,4 * PRF # A5: 2 + B3: 2,4 # A6: 1,3 => SOL * STA # A5: 2 + B3: 2,4 + A6: 1,3 * CNT 2 HDP CHAINS / 7 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
| 98.7..6..75..6......6..8...4..3...2...5.7.9.......2..4.7......1..9.8.5.....1...3. | initial |
| 98.7..6..75..6......6..8...4..3...2...5.7.9.......2..4.7......1..9.8.5.....1...3. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 1 pairs (_) / B8 = 1 => 1 pairs (_) A5,B5: 2.. / A5 = 2 => 1 pairs (_) / B5 = 2 => 1 pairs (_) I5,G6: 3.. / I5 = 3 => 1 pairs (_) / G6 = 3 => 3 pairs (_) D5,F5: 4.. / D5 = 4 => 3 pairs (_) / F5 = 4 => 1 pairs (_) I4,H6: 5.. / I4 = 5 => 4 pairs (_) / H6 = 5 => 2 pairs (_) A7,A9: 5.. / A7 = 5 => 0 pairs (_) / A9 = 5 => 0 pairs (_) C4,C6: 7.. / C4 = 7 => 3 pairs (_) / C6 = 7 => 1 pairs (_) F8,F9: 7.. / F8 = 7 => 4 pairs (_) / F9 = 7 => 0 pairs (_) D5,D6: 8.. / D5 = 8 => 2 pairs (_) / D6 = 8 => 1 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 2 pairs (_) H7,I9: 9.. / H7 = 9 => 0 pairs (_) / I9 = 9 => 0 pairs (_) * DURATION: 0:00:08.745061 START: 09:15:08.415416 END: 09:15:17.160477 2020-10-20 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I4,H6: 5.. / I4 = 5 ==> 4 pairs (_) / H6 = 5 ==> 2 pairs (_) F8,F9: 7.. / F8 = 7 ==> 6 pairs (_) / F9 = 7 ==> 0 pairs (_) C4,C6: 7.. / C4 = 7 ==> 3 pairs (_) / C6 = 7 ==> 1 pairs (_) D5,F5: 4.. / D5 = 4 ==> 3 pairs (_) / F5 = 4 ==> 1 pairs (_) I5,G6: 3.. / I5 = 3 ==> 1 pairs (_) / G6 = 3 ==> 3 pairs (_) B4,B6: 9.. / B4 = 9 ==> 1 pairs (_) / B6 = 9 ==> 2 pairs (_) D5,D6: 8.. / D5 = 8 ==> 2 pairs (_) / D6 = 8 ==> 1 pairs (_) A5,B5: 2.. / A5 = 2 ==> 0 pairs (*) / B5 = 2 => 0 pairs (X) * DURATION: 0:01:44.504154 START: 09:15:17.161288 END: 09:17:01.665442 2020-10-20 * REASONING F8,F9: 7.. * DIS # F8: 7 # H7: 4,6 => CTR => H7: 8,9 * DIS # F8: 7 + H7: 8,9 # I9: 2,6 => CTR => I9: 7,8,9 * CNT 2 HDP CHAINS / 27 HYP OPENED * REASONING I5,G6: 3.. * DIS # G6: 3 # A7: 2,3 => CTR => A7: 5,6,8 * CNT 1 HDP CHAINS / 31 HYP OPENED * REASONING A5,B5: 2.. * DIS # A5: 2 # B3: 1,3 => CTR => B3: 2,4 * PRF # A5: 2 + B3: 2,4 # A6: 1,3 => SOL * STA # A5: 2 + B3: 2,4 + A6: 1,3 * CNT 2 HDP CHAINS / 7 HYP OPENED * DCP COUNT: (8) * SOLUTION FOUND
Header Info
29672;2011_12;GP;24;11.40;11.40;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,H6: 5..:
* INC # I4: 5 # G2: 2,3 => UNS * INC # I4: 5 # I2: 2,3 => UNS * INC # I4: 5 # G3: 2,3 => UNS * INC # I4: 5 # I3: 2,3 => UNS * INC # I4: 5 # C1: 2,3 => UNS * INC # I4: 5 # E1: 2,3 => UNS * INC # I4: 5 # C6: 7,8 => UNS * INC # I4: 5 # C6: 1,3 => UNS * INC # I4: 5 # F4: 1,9 => UNS * INC # I4: 5 # E6: 1,9 => UNS * INC # I4: 5 # B4: 1,9 => UNS * INC # I4: 5 # B4: 6 => UNS * INC # I4: 5 # E3: 1,9 => UNS * INC # I4: 5 # E3: 2,3,4,5 => UNS * INC # I4: 5 # G6: 7,8 => UNS * INC # I4: 5 # H6: 7,8 => UNS * INC # I4: 5 # G9: 7,8 => UNS * INC # I4: 5 # G9: 2,4 => UNS * INC # I4: 5 => UNS * INC # H6: 5 # G2: 1,4 => UNS * INC # H6: 5 # H2: 1,4 => UNS * INC # H6: 5 # G3: 1,4 => UNS * INC # H6: 5 # H3: 1,4 => UNS * INC # H6: 5 # C1: 1,4 => UNS * INC # H6: 5 # E1: 1,4 => UNS * INC # H6: 5 # F1: 1,4 => UNS * INC # H6: 5 # E4: 1,9 => UNS * INC # H6: 5 # F4: 1,9 => UNS * INC # H6: 5 # B6: 1,9 => UNS * INC # H6: 5 # B6: 3,6 => UNS * INC # H6: 5 # E3: 1,9 => UNS * INC # H6: 5 # E3: 2,3,4,5 => UNS * INC # H6: 5 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for F8,F9: 7..:
* INC # F8: 7 # A3: 1,3 => UNS * INC # F8: 7 # A5: 1,3 => UNS * INC # F8: 7 # A6: 1,3 => UNS * INC # F8: 7 # B3: 1,3 => UNS * INC # F8: 7 # B5: 1,3 => UNS * INC # F8: 7 # B6: 1,3 => UNS * DIS # F8: 7 # H7: 4,6 => CTR => H7: 8,9 * INC # F8: 7 + H7: 8,9 # D8: 4,6 => UNS * INC # F8: 7 + H7: 8,9 # D8: 2 => UNS * DIS # F8: 7 + H7: 8,9 # I9: 2,6 => CTR => I9: 7,8,9 * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # A3: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # A5: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # A6: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # B3: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # B5: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # B6: 1,3 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # D7: 2,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # E7: 2,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # E9: 2,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # D2: 2,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # D3: 2,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # I9: 8,9 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # I9: 7 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # H2: 8,9 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 # H2: 1,4 => UNS * INC # F8: 7 + H7: 8,9 + I9: 7,8,9 => UNS * INC # F9: 7 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for C4,C6: 7..:
* INC # C4: 7 # G2: 1,8 => UNS * INC # C4: 7 # G2: 2,3,4 => UNS * INC # C4: 7 # H6: 1,6 => UNS * INC # C4: 7 # H6: 5,7 => UNS * INC # C4: 7 # A5: 1,6 => UNS * INC # C4: 7 # B5: 1,6 => UNS * INC # C4: 7 # F5: 1,6 => UNS * INC # C4: 7 # A5: 3,6 => UNS * INC # C4: 7 # B5: 3,6 => UNS * INC # C4: 7 => UNS * INC # C6: 7 # A5: 1,8 => UNS * INC # C6: 7 # A6: 1,8 => UNS * INC # C6: 7 # G4: 1,8 => UNS * INC # C6: 7 # G4: 7 => UNS * INC # C6: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D5,F5: 4..:
* INC # D5: 4 # D3: 2,9 => UNS * INC # D5: 4 # E3: 2,9 => UNS * INC # D5: 4 # I2: 2,9 => UNS * INC # D5: 4 # I2: 3,8 => UNS * INC # D5: 4 # D7: 2,9 => UNS * INC # D5: 4 # D7: 5,6 => UNS * INC # D5: 4 # F4: 1,6 => UNS * INC # D5: 4 # F4: 5,9 => UNS * INC # D5: 4 # A5: 1,6 => UNS * INC # D5: 4 # B5: 1,6 => UNS * INC # D5: 4 # H5: 1,6 => UNS * INC # D5: 4 # D7: 2,6 => UNS * INC # D5: 4 # D7: 5,9 => UNS * INC # D5: 4 # A8: 2,6 => UNS * INC # D5: 4 # B8: 2,6 => UNS * INC # D5: 4 # I8: 2,6 => UNS * INC # D5: 4 => UNS * INC # F5: 4 # D6: 6,8 => UNS * INC # F5: 4 # D6: 5,9 => UNS * INC # F5: 4 # A5: 6,8 => UNS * INC # F5: 4 # H5: 6,8 => UNS * INC # F5: 4 # I5: 6,8 => UNS * INC # F5: 4 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I5,G6: 3..:
* INC # G6: 3 # A3: 2,3 => UNS * DIS # G6: 3 # A7: 2,3 => CTR => A7: 5,6,8 * INC # G6: 3 + A7: 5,6,8 # A8: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # A3: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # A8: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # B3: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # B8: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # I4: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # H5: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # H6: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # D5: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # D5: 4 => UNS * INC # G6: 3 + A7: 5,6,8 # I9: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # I9: 2,7,9 => UNS * INC # G6: 3 + A7: 5,6,8 # A3: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # A8: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # B3: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # B8: 2,3 => UNS * INC # G6: 3 + A7: 5,6,8 # I4: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # H5: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # H6: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # D5: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # D5: 4 => UNS * INC # G6: 3 + A7: 5,6,8 # I9: 6,8 => UNS * INC # G6: 3 + A7: 5,6,8 # I9: 2,7,9 => UNS * INC # G6: 3 + A7: 5,6,8 => UNS * INC # I5: 3 # I3: 2,5 => UNS * INC # I5: 3 # I3: 7,9 => UNS * INC # I5: 3 # E1: 2,5 => UNS * INC # I5: 3 # E1: 1,3,4 => UNS * INC # I5: 3 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for B4,B6: 9..:
* INC # B6: 9 # A5: 1,6 => UNS * INC # B6: 9 # B5: 1,6 => UNS * INC # B6: 9 # A6: 1,6 => UNS * INC # B6: 9 # F4: 1,6 => UNS * INC # B6: 9 # F4: 5,9 => UNS * INC # B6: 9 # B8: 1,6 => UNS * INC # B6: 9 # B8: 2,3,4 => UNS * INC # B6: 9 # E4: 1,5 => UNS * INC # B6: 9 # F4: 1,5 => UNS * INC # B6: 9 # H6: 1,5 => UNS * INC # B6: 9 # H6: 6,7,8 => UNS * INC # B6: 9 # E1: 1,5 => UNS * INC # B6: 9 # E3: 1,5 => UNS * INC # B6: 9 => UNS * INC # B4: 9 # F4: 1,5 => UNS * INC # B4: 9 # E6: 1,5 => UNS * INC # B4: 9 # E1: 1,5 => UNS * INC # B4: 9 # E3: 1,5 => UNS * INC # B4: 9 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for D5,D6: 8..:
* INC # D5: 8 # H6: 1,6 => UNS * INC # D5: 8 # H6: 5,7,8 => UNS * INC # D5: 8 # A5: 1,6 => UNS * INC # D5: 8 # B5: 1,6 => UNS * INC # D5: 8 # A5: 3,6 => UNS * INC # D5: 8 # B5: 3,6 => UNS * INC # D5: 8 => UNS * INC # D6: 8 # F5: 4,6 => UNS * INC # D6: 8 # F5: 1 => UNS * INC # D6: 8 # D7: 4,6 => UNS * INC # D6: 8 # D8: 4,6 => UNS * INC # D6: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A5,B5: 2..:
* INC # A5: 2 # C1: 1,3 => UNS * INC # A5: 2 # C2: 1,3 => UNS * DIS # A5: 2 # B3: 1,3 => CTR => B3: 2,4 * INC # A5: 2 + B3: 2,4 # E3: 1,3 => UNS * INC # A5: 2 + B3: 2,4 # G3: 1,3 => UNS * PRF # A5: 2 + B3: 2,4 # A6: 1,3 => SOL * STA # A5: 2 + B3: 2,4 + A6: 1,3 * CNT 6 HDP CHAINS / 7 HYP OPENED