Analysis of xx-ph-00014499-kz1a-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....6...9.7....7..5...4......3..7...2..4..86..5...1.....2...68..9.......3..1 initial
Autosolve
position: 98.7.....6...9.7....7..5...46.....3..7...2..4..86..5...1.....2...68..9.......3..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for E6,F6: 4..:
* DIS # F6: 4 # E1: 1,6 => CTR => E1: 2,3,4 * CNT 1 HDP CHAINS / 36 HYP OPENED
List of important HDP chains detected for B6,B9: 9..:
* DIS # B6: 9 # I4: 2,7 => CTR => I4: 8,9 * CNT 1 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for E8,F8: 1..:
* DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3 * CNT 1 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for F1,F7: 6..:
* DIS # F7: 6 # E3: 1,4 => CTR => E3: 2,3,6,8 * CNT 1 HDP CHAINS / 40 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:28.875916
List of important HDP chains detected for F2,F4: 8..:
* PRF # F4: 8 # E1: 1,4 # A3: 2,3 => SOL * STA # F4: 8 # E1: 1,4 + A3: 2,3 * CNT 1 HDP CHAINS / 27 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...9.7....7..5...4......3..7...2..4..86..5...1.....2...68..9.......3..1 | initial |
| 98.7.....6...9.7....7..5...46.....3..7...2..4..86..5...1.....2...68..9.......3..1 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E8,F8: 1.. / E8 = 1 => 1 pairs (_) / F8 = 1 => 2 pairs (_) E6,F6: 4.. / E6 = 4 => 1 pairs (_) / F6 = 4 => 3 pairs (_) G5,H5: 6.. / G5 = 6 => 1 pairs (_) / H5 = 6 => 1 pairs (_) F1,F7: 6.. / F1 = 6 => 0 pairs (_) / F7 = 6 => 2 pairs (_) F2,E3: 8.. / F2 = 8 => 0 pairs (_) / E3 = 8 => 4 pairs (_) A7,A9: 8.. / A7 = 8 => 0 pairs (_) / A9 = 8 => 1 pairs (_) F2,F4: 8.. / F2 = 8 => 0 pairs (_) / F4 = 8 => 4 pairs (_) H3,I3: 9.. / H3 = 9 => 1 pairs (_) / I3 = 9 => 1 pairs (_) B6,B9: 9.. / B6 = 9 => 2 pairs (_) / B9 = 9 => 1 pairs (_) * DURATION: 0:00:05.941574 START: 05:09:57.237324 END: 05:10:03.178898 2020-12-03 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F2,F4: 8.. / F2 = 8 ==> 0 pairs (_) / F4 = 8 ==> 4 pairs (_) F2,E3: 8.. / F2 = 8 ==> 0 pairs (_) / E3 = 8 ==> 4 pairs (_) E6,F6: 4.. / E6 = 4 ==> 1 pairs (_) / F6 = 4 ==> 3 pairs (_) B6,B9: 9.. / B6 = 9 ==> 4 pairs (_) / B9 = 9 ==> 1 pairs (_) E8,F8: 1.. / E8 = 1 ==> 1 pairs (_) / F8 = 1 ==> 2 pairs (_) F1,F7: 6.. / F1 = 6 ==> 0 pairs (_) / F7 = 6 ==> 2 pairs (_) H3,I3: 9.. / H3 = 9 ==> 1 pairs (_) / I3 = 9 ==> 1 pairs (_) G5,H5: 6.. / G5 = 6 ==> 1 pairs (_) / H5 = 6 ==> 1 pairs (_) A7,A9: 8.. / A7 = 8 ==> 0 pairs (_) / A9 = 8 ==> 1 pairs (_) * DURATION: 0:01:33.805554 START: 05:10:03.179462 END: 05:11:36.985016 2020-12-03 * REASONING E6,F6: 4.. * DIS # F6: 4 # E1: 1,6 => CTR => E1: 2,3,4 * CNT 1 HDP CHAINS / 36 HYP OPENED * REASONING B6,B9: 9.. * DIS # B6: 9 # I4: 2,7 => CTR => I4: 8,9 * CNT 1 HDP CHAINS / 21 HYP OPENED * REASONING E8,F8: 1.. * DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3 * CNT 1 HDP CHAINS / 31 HYP OPENED * REASONING F1,F7: 6.. * DIS # F7: 6 # E3: 1,4 => CTR => E3: 2,3,6,8 * CNT 1 HDP CHAINS / 40 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F2,F4: 8.. / F2 = 8 => 0 pairs (X) / F4 = 8 ==> 0 pairs (*) * DURATION: 0:00:28.874480 START: 05:11:37.087604 END: 05:12:05.962084 2020-12-03 * REASONING F2,F4: 8.. * PRF # F4: 8 # E1: 1,4 # A3: 2,3 => SOL * STA # F4: 8 # E1: 1,4 + A3: 2,3 * CNT 1 HDP CHAINS / 27 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
14499;kz1a;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,F4: 8..:
* INC # F4: 8 # E1: 1,4 => UNS * INC # F4: 8 # F1: 1,4 => UNS * INC # F4: 8 # D2: 1,4 => UNS * INC # F4: 8 # D3: 1,4 => UNS * INC # F4: 8 # C2: 1,4 => UNS * INC # F4: 8 # H2: 1,4 => UNS * INC # F4: 8 # F6: 1,4 => UNS * INC # F4: 8 # F8: 1,4 => UNS * INC # F4: 8 # C4: 1,2 => UNS * INC # F4: 8 # C4: 5,9 => UNS * INC # F4: 8 # G1: 1,2 => UNS * INC # F4: 8 # G3: 1,2 => UNS * INC # F4: 8 # G7: 6,8 => UNS * INC # F4: 8 # G9: 6,8 => UNS * INC # F4: 8 # H9: 6,8 => UNS * INC # F4: 8 # H9: 4,5,7 => UNS * INC # F4: 8 => UNS * INC # F2: 8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for F2,E3: 8..:
* INC # E3: 8 # E1: 1,4 => UNS * INC # E3: 8 # F1: 1,4 => UNS * INC # E3: 8 # D2: 1,4 => UNS * INC # E3: 8 # D3: 1,4 => UNS * INC # E3: 8 # C2: 1,4 => UNS * INC # E3: 8 # H2: 1,4 => UNS * INC # E3: 8 # F6: 1,4 => UNS * INC # E3: 8 # F8: 1,4 => UNS * INC # E3: 8 # C4: 1,2 => UNS * INC # E3: 8 # C4: 5,9 => UNS * INC # E3: 8 # G1: 1,2 => UNS * INC # E3: 8 # G3: 1,2 => UNS * INC # E3: 8 # G7: 6,8 => UNS * INC # E3: 8 # G9: 6,8 => UNS * INC # E3: 8 # H9: 6,8 => UNS * INC # E3: 8 # H9: 4,5,7 => UNS * INC # E3: 8 => UNS * INC # F2: 8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for E6,F6: 4..:
* DIS # F6: 4 # E1: 1,6 => CTR => E1: 2,3,4 * INC # F6: 4 + E1: 2,3,4 # E3: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 2,3,4,8 => UNS * INC # F6: 4 + E1: 2,3,4 # G1: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # H1: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 2,3,4,6 => UNS * INC # F6: 4 + E1: 2,3,4 # H2: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # H2: 4,5 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 7,9 => UNS * INC # F6: 4 + E1: 2,3,4 # E8: 1,7 => UNS * INC # F6: 4 + E1: 2,3,4 # E8: 2,4,5 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 1,7 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 8,9 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 2,3,4,8 => UNS * INC # F6: 4 + E1: 2,3,4 # G1: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # H1: 1,6 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # E3: 2,3,4,6 => UNS * INC # F6: 4 + E1: 2,3,4 # H2: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # H2: 4,5 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 1,8 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 7,9 => UNS * INC # F6: 4 + E1: 2,3,4 # E8: 1,7 => UNS * INC # F6: 4 + E1: 2,3,4 # E8: 2,4,5 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 1,7 => UNS * INC # F6: 4 + E1: 2,3,4 # F4: 8,9 => UNS * INC # F6: 4 + E1: 2,3,4 => UNS * INC # E6: 4 # C4: 1,5 => UNS * INC # E6: 4 # C5: 1,5 => UNS * INC # E6: 4 # D5: 1,5 => UNS * INC # E6: 4 # E5: 1,5 => UNS * INC # E6: 4 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # E6: 1,7 => UNS * INC # B6: 9 # F6: 1,7 => UNS * DIS # B6: 9 # I4: 2,7 => CTR => I4: 8,9 * INC # B6: 9 + I4: 8,9 # E6: 1,4 => UNS * INC # B6: 9 + I4: 8,9 # E6: 3 => UNS * INC # B6: 9 + I4: 8,9 # F1: 1,4 => UNS * INC # B6: 9 + I4: 8,9 # F2: 1,4 => UNS * INC # B6: 9 + I4: 8,9 # F8: 1,4 => UNS * INC # B6: 9 + I4: 8,9 # H5: 8,9 => UNS * INC # B6: 9 + I4: 8,9 # H5: 1,6 => UNS * INC # B6: 9 + I4: 8,9 # F4: 8,9 => UNS * INC # B6: 9 + I4: 8,9 # F4: 1,7 => UNS * INC # B6: 9 + I4: 8,9 # I3: 8,9 => UNS * INC # B6: 9 + I4: 8,9 # I3: 2,3,6 => UNS * INC # B6: 9 + I4: 8,9 => UNS * INC # B9: 9 # A6: 2,3 => UNS * INC # B9: 9 # A6: 1 => UNS * INC # B9: 9 # B2: 2,3 => UNS * INC # B9: 9 # B3: 2,3 => UNS * INC # B9: 9 # B8: 2,3 => UNS * INC # B9: 9 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for E8,F8: 1..:
* DIS # F8: 1 # E1: 4,6 => CTR => E1: 1,2,3 * INC # F8: 1 + E1: 1,2,3 # E3: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,8 => UNS * INC # F8: 1 + E1: 1,2,3 # G1: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # H1: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # F7: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # F7: 7,9 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 4,8 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,6 => UNS * INC # F8: 1 + E1: 1,2,3 # H2: 4,8 => UNS * INC # F8: 1 + E1: 1,2,3 # H2: 1,5 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,8 => UNS * INC # F8: 1 + E1: 1,2,3 # G1: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # H1: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # F7: 4,6 => UNS * INC # F8: 1 + E1: 1,2,3 # F7: 7,9 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 4,8 => UNS * INC # F8: 1 + E1: 1,2,3 # E3: 1,2,3,6 => UNS * INC # F8: 1 + E1: 1,2,3 # H2: 4,8 => UNS * INC # F8: 1 + E1: 1,2,3 # H2: 1,5 => UNS * INC # F8: 1 + E1: 1,2,3 => UNS * INC # E8: 1 # E7: 4,7 => UNS * INC # E8: 1 # F7: 4,7 => UNS * INC # E8: 1 # E9: 4,7 => UNS * INC # E8: 1 # H8: 4,7 => UNS * INC # E8: 1 # H8: 5 => UNS * INC # E8: 1 # F6: 4,7 => UNS * INC # E8: 1 # F6: 1,9 => UNS * INC # E8: 1 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for F1,F7: 6..:
* INC # F7: 6 # E1: 1,4 => UNS * INC # F7: 6 # D2: 1,4 => UNS * INC # F7: 6 # F2: 1,4 => UNS * INC # F7: 6 # D3: 1,4 => UNS * DIS # F7: 6 # E3: 1,4 => CTR => E3: 2,3,6,8 * INC # F7: 6 + E3: 2,3,6,8 # C1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # G1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # H1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F6: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F8: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D2: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F2: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D3: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # G1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # H1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F6: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F8: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E4: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D5: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E5: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C4: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C4: 2,9 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D2: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F2: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D3: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # G1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # H1: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F6: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # F8: 1,4 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E4: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # D5: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # E5: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C4: 1,5 => UNS * INC # F7: 6 + E3: 2,3,6,8 # C4: 2,9 => UNS * INC # F7: 6 + E3: 2,3,6,8 => UNS * INC # F1: 6 => UNS * CNT 40 HDP CHAINS / 40 HYP OPENED
Full list of HDP chains traversed for H3,I3: 9..:
* INC # H3: 9 # E6: 1,7 => UNS * INC # H3: 9 # F6: 1,7 => UNS * INC # H3: 9 => UNS * INC # I3: 9 # I4: 2,7 => UNS * INC # I3: 9 # I4: 8 => UNS * INC # I3: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G5,H5: 6..:
* INC # G5: 6 # G7: 4,8 => UNS * INC # G5: 6 # H9: 4,8 => UNS * INC # G5: 6 # G3: 4,8 => UNS * INC # G5: 6 # G3: 1,2,3 => UNS * INC # G5: 6 => UNS * INC # H5: 6 # G4: 1,8 => UNS * INC # H5: 6 # G4: 2 => UNS * INC # H5: 6 # E5: 1,8 => UNS * INC # H5: 6 # E5: 3,5 => UNS * INC # H5: 6 # G3: 1,8 => UNS * INC # H5: 6 # G3: 2,3,4,6 => UNS * INC # H5: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A7,A9: 8..:
* INC # A9: 8 # G7: 4,6 => UNS * INC # A9: 8 # H9: 4,6 => UNS * INC # A9: 8 # E9: 4,6 => UNS * INC # A9: 8 # E9: 2,5,7 => UNS * INC # A9: 8 # G1: 4,6 => UNS * INC # A9: 8 # G3: 4,6 => UNS * INC # A9: 8 => UNS * INC # A7: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,F4: 8..:
* INC # F4: 8 # E1: 1,4 => UNS * INC # F4: 8 # F1: 1,4 => UNS * INC # F4: 8 # D2: 1,4 => UNS * INC # F4: 8 # D3: 1,4 => UNS * INC # F4: 8 # C2: 1,4 => UNS * INC # F4: 8 # H2: 1,4 => UNS * INC # F4: 8 # F6: 1,4 => UNS * INC # F4: 8 # F8: 1,4 => UNS * INC # F4: 8 # C4: 1,2 => UNS * INC # F4: 8 # C4: 5,9 => UNS * INC # F4: 8 # G1: 1,2 => UNS * INC # F4: 8 # G3: 1,2 => UNS * INC # F4: 8 # G7: 6,8 => UNS * INC # F4: 8 # G9: 6,8 => UNS * INC # F4: 8 # H9: 6,8 => UNS * INC # F4: 8 # H9: 4,5,7 => UNS * INC # F4: 8 # E1: 1,4 # C1: 1,4 => UNS * INC # F4: 8 # E1: 1,4 # G1: 1,4 => UNS * INC # F4: 8 # E1: 1,4 # H1: 1,4 => UNS * INC # F4: 8 # E1: 1,4 # B2: 2,3 => UNS * INC # F4: 8 # E1: 1,4 # C2: 2,3 => UNS * INC # F4: 8 # E1: 1,4 # I2: 2,3 => UNS * INC # F4: 8 # E1: 1,4 # C2: 1,4 => UNS * INC # F4: 8 # E1: 1,4 # H2: 1,4 => UNS * PRF # F4: 8 # E1: 1,4 # A3: 2,3 => SOL * STA # F4: 8 # E1: 1,4 + A3: 2,3 * CNT 25 HDP CHAINS / 27 HYP OPENED