Analysis of xx-ph-00022490-KZ1C-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75.....8...6......4.........3..2.7.4..79...5...86...7.....3.1.......1..2 initial
Autosolve
position: 98.7..6..75.....8...6.....74.........3..2.7.4..79...5...86...7.....3.1.......1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C5,H5: 9..:
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * CNT 1 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:25.517900
List of important HDP chains detected for C5,H5: 9..:
* DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3 * PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL * STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3 * CNT 5 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..75.....8...6......4.........3..2.7.4..79...5...86...7.....3.1.......1..2 | initial |
| 98.7..6..75.....8...6.....74.........3..2.7.4..79...5...86...7.....3.1.......1..2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,B7: 1.. / A7 = 1 => 1 pairs (_) / B7 = 1 => 2 pairs (_) E6,F6: 4.. / E6 = 4 => 2 pairs (_) / F6 = 4 => 0 pairs (_) I1,G3: 5.. / I1 = 5 => 2 pairs (_) / G3 = 5 => 1 pairs (_) E2,F2: 6.. / E2 = 6 => 0 pairs (_) / F2 = 6 => 1 pairs (_) E4,F4: 7.. / E4 = 7 => 0 pairs (_) / F4 = 7 => 0 pairs (_) B8,B9: 7.. / B8 = 7 => 0 pairs (_) / B9 = 7 => 0 pairs (_) F8,E9: 7.. / F8 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) B8,F8: 7.. / B8 = 7 => 0 pairs (_) / F8 = 7 => 0 pairs (_) B9,E9: 7.. / B9 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) E4,E9: 7.. / E4 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) F4,F8: 7.. / F4 = 7 => 0 pairs (_) / F8 = 7 => 0 pairs (_) A5,A6: 8.. / A5 = 8 => 2 pairs (_) / A6 = 8 => 1 pairs (_) I8,G9: 8.. / I8 = 8 => 1 pairs (_) / G9 = 8 => 2 pairs (_) C5,H5: 9.. / C5 = 9 => 1 pairs (_) / H5 = 9 => 2 pairs (_) * DURATION: 0:00:07.980710 START: 17:47:04.358194 END: 17:47:12.338904 2020-12-07 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C5,H5: 9.. / C5 = 9 ==> 1 pairs (_) / H5 = 9 ==> 3 pairs (_) I8,G9: 8.. / I8 = 8 ==> 1 pairs (_) / G9 = 8 ==> 2 pairs (_) A5,A6: 8.. / A5 = 8 ==> 2 pairs (_) / A6 = 8 ==> 1 pairs (_) I1,G3: 5.. / I1 = 5 ==> 2 pairs (_) / G3 = 5 ==> 1 pairs (_) A7,B7: 1.. / A7 = 1 ==> 1 pairs (_) / B7 = 1 ==> 2 pairs (_) E6,F6: 4.. / E6 = 4 ==> 2 pairs (_) / F6 = 4 ==> 0 pairs (_) E2,F2: 6.. / E2 = 6 ==> 0 pairs (_) / F2 = 6 ==> 1 pairs (_) F4,F8: 7.. / F4 = 7 ==> 0 pairs (_) / F8 = 7 ==> 0 pairs (_) E4,E9: 7.. / E4 = 7 ==> 0 pairs (_) / E9 = 7 ==> 0 pairs (_) B9,E9: 7.. / B9 = 7 ==> 0 pairs (_) / E9 = 7 ==> 0 pairs (_) B8,F8: 7.. / B8 = 7 ==> 0 pairs (_) / F8 = 7 ==> 0 pairs (_) F8,E9: 7.. / F8 = 7 ==> 0 pairs (_) / E9 = 7 ==> 0 pairs (_) B8,B9: 7.. / B8 = 7 ==> 0 pairs (_) / B9 = 7 ==> 0 pairs (_) E4,F4: 7.. / E4 = 7 ==> 0 pairs (_) / F4 = 7 ==> 0 pairs (_) * DURATION: 0:01:00.885116 START: 17:47:12.339472 END: 17:48:13.224588 2020-12-07 * REASONING C5,H5: 9.. * DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * CNT 1 HDP CHAINS / 23 HYP OPENED * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) C5,H5: 9.. / C5 = 9 => 0 pairs (X) / H5 = 9 ==> 0 pairs (*) * DURATION: 0:00:25.515117 START: 17:48:13.397742 END: 17:48:38.912859 2020-12-07 * REASONING C5,H5: 9.. * DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3 * PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL * STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3 * CNT 5 HDP CHAINS / 24 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
22490;KZ1C;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C5,H5: 9..:
* INC # H5: 9 # C4: 1,5 => UNS * INC # H5: 9 # A5: 1,5 => UNS * INC # H5: 9 # D5: 1,5 => UNS * INC # H5: 9 # D5: 8 => UNS * INC # H5: 9 # H9: 4,6 => UNS * DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS * INC # H5: 9 + H9: 4,6 # C4: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # A5: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # D5: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # D5: 8 => UNS * INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS * INC # H5: 9 + H9: 4,6 # B9: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B9: 7,9 => UNS * INC # H5: 9 + H9: 4,6 => UNS * INC # C5: 9 # H4: 1,6 => UNS * INC # C5: 9 # I4: 1,6 => UNS * INC # C5: 9 # I6: 1,6 => UNS * INC # C5: 9 # A5: 1,6 => UNS * INC # C5: 9 # A5: 5,8 => UNS * INC # C5: 9 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I8,G9: 8..:
* INC # G9: 8 # G4: 2,3 => UNS * INC # G9: 8 # H4: 2,3 => UNS * INC # G9: 8 # G2: 2,3 => UNS * INC # G9: 8 # G3: 2,3 => UNS * INC # G9: 8 # E7: 4,5 => UNS * INC # G9: 8 # F7: 4,5 => UNS * INC # G9: 8 # D8: 4,5 => UNS * INC # G9: 8 # F8: 4,5 => UNS * INC # G9: 8 # E9: 4,5 => UNS * INC # G9: 8 # C9: 4,5 => UNS * INC # G9: 8 # C9: 3,9 => UNS * INC # G9: 8 # D3: 4,5 => UNS * INC # G9: 8 # D3: 1,2,3,8 => UNS * INC # G9: 8 => UNS * INC # I8: 8 # H4: 1,9 => UNS * INC # I8: 8 # I4: 1,9 => UNS * INC # I8: 8 # C5: 1,9 => UNS * INC # I8: 8 # C5: 5 => UNS * INC # I8: 8 # H3: 1,9 => UNS * INC # I8: 8 # H3: 2,3,4 => UNS * INC # I8: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for A5,A6: 8..:
* INC # A5: 8 # D4: 1,5 => UNS * INC # A5: 8 # E4: 1,5 => UNS * INC # A5: 8 # C5: 1,5 => UNS * INC # A5: 8 # C5: 9 => UNS * INC # A5: 8 # D3: 1,5 => UNS * INC # A5: 8 # D3: 2,3,4,8 => UNS * INC # A5: 8 # E4: 5,6 => UNS * INC # A5: 8 # F4: 5,6 => UNS * INC # A5: 8 => UNS * INC # A6: 8 # G4: 2,3 => UNS * INC # A6: 8 # H4: 2,3 => UNS * INC # A6: 8 # G2: 2,3 => UNS * INC # A6: 8 # G3: 2,3 => UNS * INC # A6: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I1,G3: 5..:
* INC # I1: 5 # D2: 1,4 => UNS * INC # I1: 5 # E2: 1,4 => UNS * INC # I1: 5 # D3: 1,4 => UNS * INC # I1: 5 # E3: 1,4 => UNS * INC # I1: 5 # C1: 1,4 => UNS * INC # I1: 5 # H1: 1,4 => UNS * INC # I1: 5 # E6: 1,4 => UNS * INC # I1: 5 # E6: 6,8 => UNS * INC # I1: 5 # G7: 3,9 => UNS * INC # I1: 5 # G9: 3,9 => UNS * INC # I1: 5 # H9: 3,9 => UNS * INC # I1: 5 # I2: 3,9 => UNS * INC # I1: 5 # I4: 3,9 => UNS * INC # I1: 5 => UNS * INC # G3: 5 # H1: 1,3 => UNS * INC # G3: 5 # I2: 1,3 => UNS * INC # G3: 5 # H3: 1,3 => UNS * INC # G3: 5 # C1: 1,3 => UNS * INC # G3: 5 # C1: 2,4 => UNS * INC # G3: 5 # I4: 1,3 => UNS * INC # G3: 5 # I6: 1,3 => UNS * INC # G3: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for A7,B7: 1..:
* INC # B7: 1 # C1: 2,4 => UNS * INC # B7: 1 # C2: 2,4 => UNS * INC # B7: 1 # D3: 2,4 => UNS * INC # B7: 1 # F3: 2,4 => UNS * INC # B7: 1 # G3: 2,4 => UNS * INC # B7: 1 # H3: 2,4 => UNS * INC # B7: 1 # B8: 2,4 => UNS * INC # B7: 1 # B8: 6,7,9 => UNS * INC # B7: 1 # B4: 2,6 => UNS * INC # B7: 1 # A6: 2,6 => UNS * INC # B7: 1 # B8: 2,6 => UNS * INC # B7: 1 # B8: 4,7,9 => UNS * INC # B7: 1 => UNS * INC # A7: 1 # C1: 2,3 => UNS * INC # A7: 1 # C2: 2,3 => UNS * INC # A7: 1 # D3: 2,3 => UNS * INC # A7: 1 # F3: 2,3 => UNS * INC # A7: 1 # G3: 2,3 => UNS * INC # A7: 1 # H3: 2,3 => UNS * INC # A7: 1 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for E6,F6: 4..:
* INC # E6: 4 # D3: 1,5 => UNS * INC # E6: 4 # E3: 1,5 => UNS * INC # E6: 4 # I1: 1,5 => UNS * INC # E6: 4 # I1: 3 => UNS * INC # E6: 4 # E4: 1,5 => UNS * INC # E6: 4 # E4: 6,7,8 => UNS * INC # E6: 4 # F7: 5,9 => UNS * INC # E6: 4 # F8: 5,9 => UNS * INC # E6: 4 # E9: 5,9 => UNS * INC # E6: 4 # G7: 5,9 => UNS * INC # E6: 4 # I7: 5,9 => UNS * INC # E6: 4 # E3: 5,9 => UNS * INC # E6: 4 # E3: 1,8 => UNS * INC # E6: 4 => UNS * INC # F6: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E2,F2: 6..:
* INC # F2: 6 # D4: 5,8 => UNS * INC # F2: 6 # E4: 5,8 => UNS * INC # F2: 6 # F4: 5,8 => UNS * INC # F2: 6 # D5: 5,8 => UNS * INC # F2: 6 # A5: 5,8 => UNS * INC # F2: 6 # A5: 1,6 => UNS * INC # F2: 6 # F3: 5,8 => UNS * INC # F2: 6 # F8: 5,8 => UNS * INC # F2: 6 => UNS * INC # E2: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F4,F8: 7..:
* INC # F4: 7 => UNS * INC # F8: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,E9: 7..:
* INC # E4: 7 => UNS * INC # E9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B9,E9: 7..:
* INC # B9: 7 => UNS * INC # E9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B8,F8: 7..:
* INC # B8: 7 => UNS * INC # F8: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F8,E9: 7..:
* INC # F8: 7 => UNS * INC # E9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B8,B9: 7..:
* INC # B8: 7 => UNS * INC # B9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,F4: 7..:
* INC # E4: 7 => UNS * INC # F4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for C5,H5: 9..:
* INC # H5: 9 # C4: 1,5 => UNS * INC # H5: 9 # A5: 1,5 => UNS * INC # H5: 9 # D5: 1,5 => UNS * INC # H5: 9 # D5: 8 => UNS * INC # H5: 9 # H9: 4,6 => UNS * DIS # H5: 9 # H9: 3 => CTR => H9: 4,6 * INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS * INC # H5: 9 + H9: 4,6 # C4: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # A5: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # D5: 1,5 => UNS * INC # H5: 9 + H9: 4,6 # D5: 8 => UNS * INC # H5: 9 + H9: 4,6 # B8: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B8: 2,7,9 => UNS * INC # H5: 9 + H9: 4,6 # B9: 4,6 => UNS * INC # H5: 9 + H9: 4,6 # B9: 7,9 => UNS * INC # H5: 9 + H9: 4,6 # C4: 1,5 # H1: 2,3 => UNS * DIS # H5: 9 + H9: 4,6 # C4: 1,5 # G2: 2,3 => CTR => G2: 4,9 * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 # G3: 2,3 => CTR => G3: 4,5,9 * INC # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 2,3 => UNS * DIS # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 # H1: 1 => CTR => H1: 2,3 * PRF # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 # A3: 2,3 => SOL * STA # H5: 9 + H9: 4,6 # C4: 1,5 + G2: 4,9 + G3: 4,5,9 + H1: 2,3 + A3: 2,3 * CNT 22 HDP CHAINS / 24 HYP OPENED