Analysis of xx-ph-01115289-13_09-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....8....7....95.4..3......89..7.......2.1...95..6......4..2......1..3 initial
Autosolve
position: 98.7.....6.....8....7....95.4..3......89..7...9...2.1...95..6......4..2......1..3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for F5,D6: 4..:
* DIS # F5: 4 # D4: 6,8 => CTR => D4: 1 * DIS # F5: 4 + D4: 1 # D3: 6,8 => CTR => D3: 2,3,4 * DIS # F5: 4 + D4: 1 + D3: 2,3,4 # B5: 5,6 => CTR => B5: 1,2,3 * CNT 3 HDP CHAINS / 89 HYP OPENED
List of important HDP chains detected for H1,I1: 6..:
* PRF # I1: 6 # H2: 3,4 => SOL * STA # I1: 6 + H2: 3,4 * CNT 1 HDP CHAINS / 3 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.....8....7....95.4..3......89..7.......2.1...95..6......4..2......1..3 | initial |
| 98.7.....6.....8....7....95.4..3......89..7...9...2.1...95..6......4..2......1..3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 1 pairs (_) / E5 = 1 => 2 pairs (_) H5,G6: 3.. / H5 = 3 => 3 pairs (_) / G6 = 3 => 2 pairs (_) F5,D6: 4.. / F5 = 4 => 3 pairs (_) / D6 = 4 => 3 pairs (_) H1,I1: 6.. / H1 = 6 => 1 pairs (_) / I1 = 6 => 3 pairs (_) H2,I2: 7.. / H2 = 7 => 1 pairs (_) / I2 = 7 => 1 pairs (_) A4,A6: 7.. / A4 = 7 => 2 pairs (_) / A6 = 7 => 1 pairs (_) F4,E6: 7.. / F4 = 7 => 1 pairs (_) / E6 = 7 => 2 pairs (_) A4,F4: 7.. / A4 = 7 => 2 pairs (_) / F4 = 7 => 1 pairs (_) A6,E6: 7.. / A6 = 7 => 1 pairs (_) / E6 = 7 => 2 pairs (_) E2,F2: 9.. / E2 = 9 => 2 pairs (_) / F2 = 9 => 1 pairs (_) G4,I4: 9.. / G4 = 9 => 2 pairs (_) / I4 = 9 => 1 pairs (_) F8,E9: 9.. / F8 = 9 => 2 pairs (_) / E9 = 9 => 1 pairs (_) E9,G9: 9.. / E9 = 9 => 1 pairs (_) / G9 = 9 => 2 pairs (_) E2,E9: 9.. / E2 = 9 => 2 pairs (_) / E9 = 9 => 1 pairs (_) F2,F8: 9.. / F2 = 9 => 1 pairs (_) / F8 = 9 => 2 pairs (_) I4,I8: 9.. / I4 = 9 => 1 pairs (_) / I8 = 9 => 2 pairs (_) * DURATION: 0:00:11.857810 START: 17:49:47.074261 END: 17:49:58.932071 2020-10-31 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F5,D6: 4.. / F5 = 4 ==> 6 pairs (_) / D6 = 4 ==> 3 pairs (_) H5,G6: 3.. / H5 = 3 ==> 3 pairs (_) / G6 = 3 ==> 2 pairs (_) H1,I1: 6.. / H1 = 6 => 0 pairs (X) / I1 = 6 ==> 0 pairs (*) * DURATION: 0:01:08.787653 START: 17:49:58.932703 END: 17:51:07.720356 2020-10-31 * REASONING F5,D6: 4.. * DIS # F5: 4 # D4: 6,8 => CTR => D4: 1 * DIS # F5: 4 + D4: 1 # D3: 6,8 => CTR => D3: 2,3,4 * DIS # F5: 4 + D4: 1 + D3: 2,3,4 # B5: 5,6 => CTR => B5: 1,2,3 * CNT 3 HDP CHAINS / 89 HYP OPENED * REASONING H1,I1: 6.. * PRF # I1: 6 # H2: 3,4 => SOL * STA # I1: 6 + H2: 3,4 * CNT 1 HDP CHAINS / 3 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1115289;13_09;GP;22;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F5,D6: 4..:
* INC # F5: 4 # F2: 3,5 => UNS * INC # F5: 4 # F2: 9 => UNS * INC # F5: 4 # C1: 3,5 => UNS * INC # F5: 4 # C1: 1,2,4 => UNS * DIS # F5: 4 # D4: 6,8 => CTR => D4: 1 * INC # F5: 4 + D4: 1 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 # I6: 6,8 => UNS * INC # F5: 4 + D4: 1 # I6: 4 => UNS * DIS # F5: 4 + D4: 1 # D3: 6,8 => CTR => D3: 2,3,4 * INC # F5: 4 + D4: 1 + D3: 2,3,4 # D8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # D9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I6: 4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # D8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # D9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I4: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I4: 8,9 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # B5: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # B5: 1,3,5 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I1: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # I1: 1,4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F2: 3,5 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F2: 9 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # C1: 3,5 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # C1: 1,2,4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # E9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # F4: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 # E6: 5,6 => UNS * DIS # F5: 4 + D4: 1 + D3: 2,3,4 # B5: 5,6 => CTR => B5: 1,2,3 * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 3 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F4: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E6: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 3 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I6: 4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # D8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # D9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I4: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I4: 8,9 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I1: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I1: 1,4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F2: 3,5 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F2: 9 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # C1: 3,5 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # C1: 1,2,4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F4: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E6: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 5,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # H5: 3 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # F4: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # E6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I6: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I6: 4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # D8: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # D9: 6,8 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I4: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I4: 8,9 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I1: 2,6 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 # I1: 1,4 => UNS * INC # F5: 4 + D4: 1 + D3: 2,3,4 + B5: 1,2,3 => UNS * INC # D6: 4 # F4: 5,6 => UNS * INC # D6: 4 # E5: 5,6 => UNS * INC # D6: 4 # E6: 5,6 => UNS * INC # D6: 4 # B5: 5,6 => UNS * INC # D6: 4 # H5: 5,6 => UNS * INC # D6: 4 # H5: 3,5 => UNS * INC # D6: 4 # H5: 4,6 => UNS * INC # D6: 4 # A6: 3,5 => UNS * INC # D6: 4 # C6: 3,5 => UNS * INC # D6: 4 # H4: 6,8 => UNS * INC # D6: 4 # I4: 6,8 => UNS * INC # D6: 4 # E6: 6,8 => UNS * INC # D6: 4 # E6: 5,7 => UNS * INC # D6: 4 => UNS * CNT 89 HDP CHAINS / 89 HYP OPENED
Full list of HDP chains traversed for H5,G6: 3..:
* INC # H5: 3 # I1: 4,6 => UNS * INC # H5: 3 # I1: 1,2 => UNS * INC # H5: 3 # I2: 4,7 => UNS * INC # H5: 3 # I2: 1,2 => UNS * INC # H5: 3 # H7: 4,7 => UNS * INC # H5: 3 # H9: 4,7 => UNS * INC # H5: 3 # G9: 4,5 => UNS * INC # H5: 3 # G9: 9 => UNS * INC # H5: 3 => UNS * INC # G6: 3 # A4: 5,7 => UNS * INC # G6: 3 # A4: 1,2 => UNS * INC # G6: 3 # E6: 5,7 => UNS * INC # G6: 3 # E6: 6,8 => UNS * INC # G6: 3 # C4: 5,6 => UNS * INC # G6: 3 # B5: 5,6 => UNS * INC # G6: 3 # E6: 5,6 => UNS * INC # G6: 3 # E6: 7,8 => UNS * INC # G6: 3 # C8: 5,6 => UNS * INC # G6: 3 # C9: 5,6 => UNS * INC # G6: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H1,I1: 6..:
* INC # I1: 6 # G1: 3,4 => UNS * PRF # I1: 6 # H2: 3,4 => SOL * STA # I1: 6 + H2: 3,4 * CNT 2 HDP CHAINS / 3 HYP OPENED