Analysis of xx-ph-02210324-2018_12_06-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5..94......4..3.5.7..8..5...2......8..8....1..5..6.9.....5...8.....79... initial
Autosolve
position: 98.7..6..5..94.8....4.83.597..8..5...25.....8..8....1..5..689.....5...8.8...79..5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B3,G3: 7..:
* DIS # G3: 7 # H4: 2,3 => CTR => H4: 4,6,9 * DIS # G3: 7 + H4: 4,6,9 # H5: 3,4 => CTR => H5: 6,7,9 * DIS # G3: 7 + H4: 4,6,9 + H5: 6,7,9 # I6: 3,4 => CTR => I6: 2,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for C4,C8: 9..:
* DIS # C4: 9 # F2: 1,2 => CTR => F2: 6 * PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL * STA # C4: 9 + F2: 6 + D5: 1,3 * CNT 2 HDP CHAINS / 8 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..5..94......4..3.5.7..8..5...2......8..8....1..5..6.9.....5...8.....79... | initial |
| 98.7..6..5..94.8....4.83.597..8..5...25.....8..8....1..5..689.....5...8.8...79..5 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,I1: 4.. / H1 = 4 => 0 pairs (_) / I1 = 4 => 1 pairs (_) E1,F1: 5.. / E1 = 5 => 2 pairs (_) / F1 = 5 => 1 pairs (_) E6,F6: 5.. / E6 = 5 => 1 pairs (_) / F6 = 5 => 2 pairs (_) E1,E6: 5.. / E1 = 5 => 2 pairs (_) / E6 = 5 => 1 pairs (_) F1,F6: 5.. / F1 = 5 => 1 pairs (_) / F6 = 5 => 2 pairs (_) F2,D3: 6.. / F2 = 6 => 1 pairs (_) / D3 = 6 => 3 pairs (_) I8,H9: 6.. / I8 = 6 => 2 pairs (_) / H9 = 6 => 0 pairs (_) F5,F6: 7.. / F5 = 7 => 1 pairs (_) / F6 = 7 => 1 pairs (_) B3,G3: 7.. / B3 = 7 => 1 pairs (_) / G3 = 7 => 3 pairs (_) H4,H5: 9.. / H4 = 9 => 0 pairs (_) / H5 = 9 => 1 pairs (_) B8,C8: 9.. / B8 = 9 => 3 pairs (_) / C8 = 9 => 0 pairs (_) E5,H5: 9.. / E5 = 9 => 0 pairs (_) / H5 = 9 => 1 pairs (_) B6,E6: 9.. / B6 = 9 => 0 pairs (_) / E6 = 9 => 3 pairs (_) C4,C8: 9.. / C4 = 9 => 3 pairs (_) / C8 = 9 => 0 pairs (_) * DURATION: 0:00:10.500620 START: 21:09:24.599938 END: 21:09:35.100558 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B3,G3: 7.. / B3 = 7 ==> 1 pairs (_) / G3 = 7 ==> 3 pairs (_) F2,D3: 6.. / F2 = 6 ==> 1 pairs (_) / D3 = 6 ==> 3 pairs (_) C4,C8: 9.. / C4 = 9 ==> 0 pairs (*) / C8 = 9 => 0 pairs (X) * DURATION: 0:01:00.319366 START: 21:09:35.101104 END: 21:10:35.420470 2020-09-23 * REASONING B3,G3: 7.. * DIS # G3: 7 # H4: 2,3 => CTR => H4: 4,6,9 * DIS # G3: 7 + H4: 4,6,9 # H5: 3,4 => CTR => H5: 6,7,9 * DIS # G3: 7 + H4: 4,6,9 + H5: 6,7,9 # I6: 3,4 => CTR => I6: 2,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING C4,C8: 9.. * DIS # C4: 9 # F2: 1,2 => CTR => F2: 6 * PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL * STA # C4: 9 + F2: 6 + D5: 1,3 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2210324;2018_12_06;PAQ;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B3,G3: 7..:
* INC # G3: 7 # B2: 1,6 => UNS * INC # G3: 7 # C2: 1,6 => UNS * INC # G3: 7 # A3: 1,6 => UNS * INC # G3: 7 # D3: 1,6 => UNS * INC # G3: 7 # D3: 2 => UNS * INC # G3: 7 # B4: 1,6 => UNS * INC # G3: 7 # B8: 1,6 => UNS * INC # G3: 7 # B9: 1,6 => UNS * INC # G3: 7 # H1: 2,3 => UNS * INC # G3: 7 # I1: 2,3 => UNS * INC # G3: 7 # I2: 2,3 => UNS * INC # G3: 7 # C2: 2,3 => UNS * INC # G3: 7 # C2: 1,6,7 => UNS * DIS # G3: 7 # H4: 2,3 => CTR => H4: 4,6,9 * INC # G3: 7 + H4: 4,6,9 # H7: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # H9: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # H1: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # I1: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # I2: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # C2: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # C2: 1,6,7 => UNS * INC # G3: 7 + H4: 4,6,9 # H7: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # H9: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 # I4: 3,4 => UNS * DIS # G3: 7 + H4: 4,6,9 # H5: 3,4 => CTR => H5: 6,7,9 * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 # G6: 3,4 => UNS * DIS # G3: 7 + H4: 4,6,9 + H5: 6,7,9 # I6: 3,4 => CTR => I6: 2,6,7 * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # A5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # D5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G8: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G9: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # I4: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G6: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # A5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # D5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G8: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G9: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # B2: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # C2: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # A3: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # D3: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # D3: 2 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # B4: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # B8: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # B9: 1,6 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # H1: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # I1: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # I2: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # C2: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # C2: 1,6,7 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # H7: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # H9: 2,3 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # I4: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G6: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # A5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # D5: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G8: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 # G9: 3,4 => UNS * INC # G3: 7 + H4: 4,6,9 + H5: 6,7,9 + I6: 2,6,7 => UNS * INC # B3: 7 # I1: 1,2 => UNS * INC # B3: 7 # I2: 1,2 => UNS * INC # B3: 7 # A3: 1,2 => UNS * INC # B3: 7 # D3: 1,2 => UNS * INC # B3: 7 # G8: 1,2 => UNS * INC # B3: 7 # G9: 1,2 => UNS * INC # B3: 7 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for F2,D3: 6..:
* INC # D3: 6 # C1: 1,2 => UNS * INC # D3: 6 # C2: 1,2 => UNS * INC # D3: 6 # G3: 1,2 => UNS * INC # D3: 6 # G3: 7 => UNS * INC # D3: 6 # A7: 1,2 => UNS * INC # D3: 6 # A8: 1,2 => UNS * INC # D3: 6 # B2: 1,7 => UNS * INC # D3: 6 # C2: 1,7 => UNS * INC # D3: 6 # G3: 1,7 => UNS * INC # D3: 6 # G3: 2 => UNS * INC # D3: 6 # B8: 1,7 => UNS * INC # D3: 6 # B8: 3,4,6,9 => UNS * INC # D3: 6 # E1: 1,2 => UNS * INC # D3: 6 # F1: 1,2 => UNS * INC # D3: 6 # C2: 1,2 => UNS * INC # D3: 6 # I2: 1,2 => UNS * INC # D3: 6 # F4: 1,2 => UNS * INC # D3: 6 # F8: 1,2 => UNS * INC # D3: 6 => UNS * INC # F2: 6 # E1: 1,2 => UNS * INC # F2: 6 # F1: 1,2 => UNS * INC # F2: 6 # A3: 1,2 => UNS * INC # F2: 6 # G3: 1,2 => UNS * INC # F2: 6 # D7: 1,2 => UNS * INC # F2: 6 # D9: 1,2 => UNS * INC # F2: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for C4,C8: 9..:
* DIS # C4: 9 # F2: 1,2 => CTR => F2: 6 * INC # C4: 9 + F2: 6 # C1: 1,2 => UNS * INC # C4: 9 + F2: 6 # I1: 1,2 => UNS * INC # C4: 9 + F2: 6 # F4: 1,2 => UNS * INC # C4: 9 + F2: 6 # F8: 1,2 => UNS * INC # C4: 9 + F2: 6 # E4: 1,3 => UNS * PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL * STA # C4: 9 + F2: 6 + D5: 1,3 * CNT 7 HDP CHAINS / 8 HYP OPENED