Analysis of xx-ph-00029929-2011_12-base.sdk
Original Sudoku
level: deep
position: 98.76....54.3.......7..58..8....95...7..5..2....6...1..9...74......1..3.........2 initial
Autosolve
position: 98.76....54.3.......7..58..8....95...7..5..2....6...1..9...74......1..3.........2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.532619
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000021
List of important HDP chains detected for H1,I1: 5..:
* DIS # I1: 5 # C1: 1,2 => CTR => C1: 3 * DIS # I1: 5 + C1: 3 # C7: 5,8 => CTR => C7: 1,2,6 * DIS # I1: 5 + C1: 3 + C7: 1,2,6 # A7: 1,6 => CTR => A7: 2,3 * PRF # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # G9: 7,9 => SOL * STA # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 + G9: 7,9 * CNT 4 HDP CHAINS / 25 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....54.3.......7..58..8....95...7..5..2....6...1..9...74......1..3.........2 | initial |
| 98.76....54.3.......7..58..8....95...7..5..2....6...1..9...74......1..3.........2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H1: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I7,G9: 1.. / I7 = 1 => 3 pairs (_) / G9 = 1 => 3 pairs (_) G1,G2: 2.. / G1 = 2 => 3 pairs (_) / G2 = 2 => 5 pairs (_) H1,I1: 5.. / H1 = 5 => 1 pairs (_) / I1 = 5 => 6 pairs (_) B6,C6: 5.. / B6 = 5 => 2 pairs (_) / C6 = 5 => 3 pairs (_) F8,F9: 6.. / F8 = 6 => 3 pairs (_) / F9 = 6 => 1 pairs (_) E4,E6: 7.. / E4 = 7 => 2 pairs (_) / E6 = 7 => 2 pairs (_) A8,A9: 7.. / A8 = 7 => 2 pairs (_) / A9 = 7 => 1 pairs (_) E2,F2: 8.. / E2 = 8 => 4 pairs (_) / F2 = 8 => 2 pairs (_) I5,I6: 8.. / I5 = 8 => 3 pairs (_) / I6 = 8 => 1 pairs (_) H7,H9: 8.. / H7 = 8 => 3 pairs (_) / H9 = 8 => 2 pairs (_) C5,C6: 9.. / C5 = 9 => 2 pairs (_) / C6 = 9 => 3 pairs (_) * DURATION: 0:00:06.823621 START: 10:53:14.637764 END: 10:53:21.461385 2020-12-11 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,I1: 5.. / H1 = 5 => 0 pairs (X) / I1 = 5 ==> 0 pairs (*) * DURATION: 0:00:20.671302 START: 10:53:32.813052 END: 10:53:53.484354 2020-12-11 * REASONING H1,I1: 5.. * DIS # I1: 5 # C1: 1,2 => CTR => C1: 3 * DIS # I1: 5 + C1: 3 # C7: 5,8 => CTR => C7: 1,2,6 * DIS # I1: 5 + C1: 3 + C7: 1,2,6 # A7: 1,6 => CTR => A7: 2,3 * PRF # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # G9: 7,9 => SOL * STA # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 + G9: 7,9 * CNT 4 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
29929;2011_12;GP;24;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # I1: 4,5 => UNS * INC # I1: 1,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I1: 4,5 => UNS * INC # I1: 1,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I1: 4,5 => UNS * INC # I1: 1,3 => UNS * INC # I1: 4,5 # F2: 1,2 => UNS * INC # I1: 4,5 # D3: 1,2 => UNS * INC # I1: 4,5 # C1: 1,2 => UNS * INC # I1: 4,5 # G1: 1,2 => UNS * INC # I1: 4,5 # G2: 6,9 => UNS * INC # I1: 4,5 # H2: 6,9 => UNS * INC # I1: 4,5 # I2: 6,9 => UNS * INC # I1: 4,5 # I3: 6,9 => UNS * INC # I1: 4,5 # H9: 6,9 => UNS * INC # I1: 4,5 # H9: 5,7,8 => UNS * INC # I1: 4,5 => UNS * INC # I1: 1,3 # E2: 2,9 => UNS * INC # I1: 1,3 # D3: 2,9 => UNS * INC # I1: 1,3 # G1: 1,3 => UNS * INC # I1: 1,3 # I3: 1,3 => UNS * INC # I1: 1,3 # C1: 1,3 => UNS * INC # I1: 1,3 # C1: 2 => UNS * INC # I1: 1,3 # H9: 6,8 => UNS * INC # I1: 1,3 # H9: 7,9 => UNS * INC # I1: 1,3 # C7: 6,8 => UNS * INC # I1: 1,3 # C7: 1,2,3,5 => UNS * INC # I1: 1,3 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,I1: 5..:
* INC # I1: 5 # F2: 1,2 => UNS * INC # I1: 5 # D3: 1,2 => UNS * DIS # I1: 5 # C1: 1,2 => CTR => C1: 3 * INC # I1: 5 + C1: 3 # F2: 1,2 => UNS * INC # I1: 5 + C1: 3 # D3: 1,2 => UNS * INC # I1: 5 + C1: 3 # H2: 6,9 => UNS * INC # I1: 5 + C1: 3 # H2: 7 => UNS * INC # I1: 5 + C1: 3 # I4: 6,7 => UNS * INC # I1: 5 + C1: 3 # I4: 4 => UNS * INC # I1: 5 + C1: 3 # H2: 6,7 => UNS * INC # I1: 5 + C1: 3 # H2: 9 => UNS * DIS # I1: 5 + C1: 3 # C7: 5,8 => CTR => C7: 1,2,6 * INC # I1: 5 + C1: 3 + C7: 1,2,6 # D7: 5,8 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # D7: 5,8 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # D7: 2 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # D7: 5,8 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # D7: 2 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # G9: 1,6 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 # G9: 7,9 => UNS * DIS # I1: 5 + C1: 3 + C7: 1,2,6 # A7: 1,6 => CTR => A7: 2,3 * INC # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # I2: 1,6 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # I2: 7 => UNS * INC # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # G9: 1,6 => UNS * PRF # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 # G9: 7,9 => SOL * STA # I1: 5 + C1: 3 + C7: 1,2,6 + A7: 2,3 + G9: 7,9 * CNT 24 HDP CHAINS / 25 HYP OPENED