Analysis of xx-ph-00029848-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 initial
Autosolve
position: 98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for G3,I3: 7..:
* DIS # G3: 7 # G6: 1,8 => CTR => G6: 4 * DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9 * CNT 2 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for H7,G8: 2..:
* DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7 * CNT 1 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for H5,I5: 3..:
* PRF # I5: 3 # A7: 6,8 => SOL * STA # I5: 3 + A7: 6,8 * CNT 1 HDP CHAINS / 14 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..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 | initial |
| 98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,B7: 1.. / A7 = 1 => 3 pairs (_) / B7 = 1 => 2 pairs (_) H7,G8: 2.. / H7 = 2 => 1 pairs (_) / G8 = 2 => 4 pairs (_) H5,I5: 3.. / H5 = 3 => 1 pairs (_) / I5 = 3 => 3 pairs (_) A6,B6: 5.. / A6 = 5 => 0 pairs (_) / B6 = 5 => 3 pairs (_) D4,F4: 5.. / D4 = 5 => 0 pairs (_) / F4 = 5 => 2 pairs (_) I8,H9: 5.. / I8 = 5 => 2 pairs (_) / H9 = 5 => 2 pairs (_) D2,D4: 5.. / D2 = 5 => 2 pairs (_) / D4 = 5 => 0 pairs (_) G3,I3: 7.. / G3 = 7 => 5 pairs (_) / I3 = 7 => 0 pairs (_) B5,B6: 7.. / B5 = 7 => 1 pairs (_) / B6 = 7 => 3 pairs (_) F8,D9: 9.. / F8 = 9 => 2 pairs (_) / D9 = 9 => 1 pairs (_) C4,H4: 9.. / C4 = 9 => 0 pairs (_) / H4 = 9 => 1 pairs (_) * DURATION: 0:00:06.653459 START: 08:18:50.194463 END: 08:18:56.847922 2020-12-11 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G3,I3: 7.. / G3 = 7 ==> 5 pairs (_) / I3 = 7 ==> 0 pairs (_) H7,G8: 2.. / H7 = 2 ==> 1 pairs (_) / G8 = 2 ==> 5 pairs (_) A7,B7: 1.. / A7 = 1 ==> 3 pairs (_) / B7 = 1 ==> 2 pairs (_) B5,B6: 7.. / B5 = 7 ==> 1 pairs (_) / B6 = 7 ==> 3 pairs (_) H5,I5: 3.. / H5 = 3 => 0 pairs (X) / I5 = 3 ==> 0 pairs (*) * DURATION: 0:00:55.595854 START: 08:18:56.848599 END: 08:19:52.444453 2020-12-11 * REASONING G3,I3: 7.. * DIS # G3: 7 # G6: 1,8 => CTR => G6: 4 * DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9 * CNT 2 HDP CHAINS / 25 HYP OPENED * REASONING H7,G8: 2.. * DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7 * CNT 1 HDP CHAINS / 39 HYP OPENED * REASONING H5,I5: 3.. * PRF # I5: 3 # A7: 6,8 => SOL * STA # I5: 3 + A7: 6,8 * CNT 1 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
29848;2011_12;GP;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,I3: 7..:
* DIS # G3: 7 # G6: 1,8 => CTR => G6: 4 * INC # G3: 7 + G6: 4 # C4: 1,8 => UNS * INC # G3: 7 + G6: 4 # F4: 1,8 => UNS * INC # G3: 7 + G6: 4 # D7: 4,8 => UNS * DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9 * INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 4,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 3 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 4,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 1,7 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # I7: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # G8: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # A9: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # C9: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # C4: 1,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # F4: 1,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 4,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 3 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 4,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 1,7 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # I7: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # G8: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # A9: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 # C9: 3,8 => UNS * INC # G3: 7 + G6: 4 + D9: 3,6,9 => UNS * INC # I3: 7 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for H7,G8: 2..:
* INC # G8: 2 # A3: 1,2 => UNS * INC # G8: 2 # A5: 1,2 => UNS * INC # G8: 2 # A6: 1,2 => UNS * INC # G8: 2 # B3: 1,2 => UNS * INC # G8: 2 # B5: 1,2 => UNS * INC # G8: 2 # B6: 1,2 => UNS * INC # G8: 2 # B9: 5,9 => UNS * INC # G8: 2 # B9: 4 => UNS * INC # G8: 2 # B6: 5,9 => UNS * INC # G8: 2 # B6: 1,2,7 => UNS * INC # G8: 2 # I7: 3,6 => UNS * INC # G8: 2 # I8: 3,6 => UNS * DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7 * INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS * INC # G8: 2 + H9: 5,7 # I7: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # I8: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS * INC # G8: 2 + H9: 5,7 # A3: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # A5: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # A6: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # B3: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # B5: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # B6: 1,2 => UNS * INC # G8: 2 + H9: 5,7 # B9: 5,9 => UNS * INC # G8: 2 + H9: 5,7 # B9: 4 => UNS * INC # G8: 2 + H9: 5,7 # B6: 5,9 => UNS * INC # G8: 2 + H9: 5,7 # B6: 1,2,7 => UNS * INC # G8: 2 + H9: 5,7 # I7: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # I8: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS * INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS * INC # G8: 2 + H9: 5,7 # I8: 5,7 => UNS * INC # G8: 2 + H9: 5,7 # I8: 3,6,8 => UNS * INC # G8: 2 + H9: 5,7 => UNS * INC # H7: 2 # B3: 1,4 => UNS * INC # H7: 2 # B3: 2 => UNS * INC # H7: 2 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for A7,B7: 1..:
* INC # A7: 1 # C1: 2,3 => UNS * INC # A7: 1 # C2: 2,3 => UNS * INC # A7: 1 # D3: 2,3 => UNS * INC # A7: 1 # E3: 2,3 => UNS * INC # A7: 1 # G3: 2,3 => UNS * INC # A7: 1 # A8: 2,3 => UNS * INC # A7: 1 # A8: 5,6,8 => UNS * INC # A7: 1 # A6: 2,8 => UNS * INC # A7: 1 # C6: 2,8 => UNS * INC # A7: 1 # D5: 2,8 => UNS * INC # A7: 1 # D5: 4 => UNS * INC # A7: 1 # A8: 2,8 => UNS * INC # A7: 1 # A8: 3,5,6 => UNS * INC # A7: 1 # B3: 2,4 => UNS * INC # A7: 1 # B3: 1 => UNS * INC # A7: 1 => UNS * INC # B7: 1 # C1: 2,4 => UNS * INC # B7: 1 # C2: 2,4 => UNS * INC # B7: 1 # D3: 2,4 => UNS * INC # B7: 1 # E3: 2,4 => UNS * INC # B7: 1 # G3: 2,4 => UNS * INC # B7: 1 # B6: 2,7 => UNS * INC # B7: 1 # B6: 5,9 => UNS * INC # B7: 1 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for B5,B6: 7..:
* INC # B6: 7 # A5: 1,2 => UNS * INC # B6: 7 # C6: 1,2 => UNS * INC # B6: 7 # B3: 1,2 => UNS * INC # B6: 7 # B7: 1,2 => UNS * INC # B6: 7 => UNS * INC # B5: 7 # H1: 1,3 => UNS * INC # B5: 7 # H2: 1,3 => UNS * INC # B5: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H5,I5: 3..:
* INC # I5: 3 # I2: 4,5 => UNS * INC # I5: 3 # I2: 9 => UNS * INC # I5: 3 # F1: 4,5 => UNS * INC # I5: 3 # F1: 1 => UNS * INC # I5: 3 # G4: 1,7 => UNS * INC # I5: 3 # H4: 1,7 => UNS * INC # I5: 3 # G6: 1,7 => UNS * INC # I5: 3 # H6: 1,7 => UNS * INC # I5: 3 # B5: 1,7 => UNS * INC # I5: 3 # F5: 1,7 => UNS * INC # I5: 3 # I8: 6,8 => UNS * INC # I5: 3 # I8: 5,7 => UNS * PRF # I5: 3 # A7: 6,8 => SOL * STA # I5: 3 + A7: 6,8 * CNT 13 HDP CHAINS / 14 HYP OPENED