Analysis of xx-ph-00028499-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...4......3..8.2.4...5.8...7.9.......5..6..2.5.....1...8..12.....8....3 initial
Autosolve
position: 98.7..6..5...4..8...3..8.2.4...5.8...7.9.......5..6..2.5.....18..8..12.....8....3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C1,B3: 4..:
* DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 5 * DIS # C1: 4 + A3: 7 + D3: 5 # E3: 1,6 => CTR => E3: 9 * DIS # C1: 4 + A3: 7 + D3: 5 + E3: 9 => CTR => C1: 1,2 * STA C1: 1,2 * CNT 4 HDP CHAINS / 7 HYP OPENED
List of important HDP chains detected for F1,F9: 5..:
* DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * STA F1: 2,3 * CNT 4 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for D3,D8: 5..:
* DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * STA D8: 3,4,6 * CNT 4 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for D8,F9: 5..:
* DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * STA D8: 3,4,6 * CNT 4 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for F1,D3: 5..:
* DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * STA F1: 2,3 * CNT 4 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for H1,G2: 3..:
* DIS # G2: 3 # F9: 2,9 => CTR => F9: 4,5,7 * CNT 1 HDP CHAINS / 30 HYP OPENED
List of important HDP chains detected for F2,E3: 9..:
* DIS # F2: 9 # D3: 1,6 => CTR => D3: 5 * PRF # F2: 9 + D3: 5 # A3: 1,6 => SOL * STA # F2: 9 + D3: 5 + A3: 1,6 * CNT 2 HDP CHAINS / 6 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...4......3..8.2.4...5.8...7.9.......5..6..2.5.....1...8..12.....8....3 | initial |
| 98.7..6..5...4..8...3..8.2.4...5.8...7.9.......5..6..2.5.....18..8..12.....8....3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,G2: 3.. / H1 = 3 => 2 pairs (_) / G2 = 3 => 2 pairs (_) C1,B3: 4.. / C1 = 4 => 4 pairs (_) / B3 = 4 => 1 pairs (_) F5,D6: 4.. / F5 = 4 => 1 pairs (_) / D6 = 4 => 1 pairs (_) F1,D3: 5.. / F1 = 5 => 3 pairs (_) / D3 = 5 => 1 pairs (_) D8,F9: 5.. / D8 = 5 => 3 pairs (_) / F9 = 5 => 1 pairs (_) D3,D8: 5.. / D3 = 5 => 1 pairs (_) / D8 = 5 => 3 pairs (_) F1,F9: 5.. / F1 = 5 => 3 pairs (_) / F9 = 5 => 1 pairs (_) C2,A3: 7.. / C2 = 7 => 2 pairs (_) / A3 = 7 => 1 pairs (_) F4,E6: 7.. / F4 = 7 => 0 pairs (_) / E6 = 7 => 2 pairs (_) A5,A6: 8.. / A5 = 8 => 1 pairs (_) / A6 = 8 => 0 pairs (_) E5,E6: 8.. / E5 = 8 => 0 pairs (_) / E6 = 8 => 1 pairs (_) A5,E5: 8.. / A5 = 8 => 1 pairs (_) / E5 = 8 => 0 pairs (_) A6,E6: 8.. / A6 = 8 => 0 pairs (_) / E6 = 8 => 1 pairs (_) F2,E3: 9.. / F2 = 9 => 2 pairs (_) / E3 = 9 => 1 pairs (_) * DURATION: 0:00:08.808820 START: 08:40:44.609288 END: 08:40:53.418108 2020-12-10 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,B3: 4.. / C1 = 4 ==> 0 pairs (X) / B3 = 4 => 1 pairs (_) F1,F9: 5.. / F1 = 5 ==> 0 pairs (X) / F9 = 5 => 1 pairs (_) D3,D8: 5.. / D3 = 5 => 1 pairs (_) / D8 = 5 ==> 0 pairs (X) D8,F9: 5.. / D8 = 5 ==> 0 pairs (X) / F9 = 5 => 1 pairs (_) F1,D3: 5.. / F1 = 5 ==> 0 pairs (X) / D3 = 5 => 1 pairs (_) H1,G2: 3.. / H1 = 3 ==> 2 pairs (_) / G2 = 3 ==> 2 pairs (_) F2,E3: 9.. / F2 = 9 ==> 0 pairs (*) / E3 = 9 => 0 pairs (X) * DURATION: 0:00:46.209752 START: 08:40:53.418706 END: 08:41:39.628458 2020-12-10 * REASONING C1,B3: 4.. * DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 5 * DIS # C1: 4 + A3: 7 + D3: 5 # E3: 1,6 => CTR => E3: 9 * DIS # C1: 4 + A3: 7 + D3: 5 + E3: 9 => CTR => C1: 1,2 * STA C1: 1,2 * CNT 4 HDP CHAINS / 7 HYP OPENED * REASONING F1,F9: 5.. * DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * STA F1: 2,3 * CNT 4 HDP CHAINS / 8 HYP OPENED * REASONING D3,D8: 5.. * DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * STA D8: 3,4,6 * CNT 4 HDP CHAINS / 8 HYP OPENED * REASONING D8,F9: 5.. * DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * STA D8: 3,4,6 * CNT 4 HDP CHAINS / 8 HYP OPENED * REASONING F1,D3: 5.. * DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * STA F1: 2,3 * CNT 4 HDP CHAINS / 8 HYP OPENED * REASONING H1,G2: 3.. * DIS # G2: 3 # F9: 2,9 => CTR => F9: 4,5,7 * CNT 1 HDP CHAINS / 30 HYP OPENED * REASONING F2,E3: 9.. * DIS # F2: 9 # D3: 1,6 => CTR => D3: 5 * PRF # F2: 9 + D3: 5 # A3: 1,6 => SOL * STA # F2: 9 + D3: 5 + A3: 1,6 * CNT 2 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
Header Info
28499;2011_12;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,B3: 4..:
* INC # C1: 4 # B2: 1,6 => UNS * INC # C1: 4 # C2: 1,6 => UNS * DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 5 * DIS # C1: 4 + A3: 7 + D3: 5 # E3: 1,6 => CTR => E3: 9 * DIS # C1: 4 + A3: 7 + D3: 5 + E3: 9 => CTR => C1: 1,2 * INC C1: 1,2 # B3: 4 => UNS * STA C1: 1,2 * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for F1,F9: 5..:
* INC # F1: 5 # D2: 1,6 => UNS * DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * INC # F1: 5 + E3: 9 # D2: 1,6 => UNS * INC # F1: 5 + E3: 9 # D2: 2,3 => UNS * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * INC F1: 2,3 # F9: 5 => UNS * STA F1: 2,3 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D3,D8: 5..:
* INC # D8: 5 # D2: 1,6 => UNS * DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * INC # D8: 5 + E3: 9 # D2: 1,6 => UNS * INC # D8: 5 + E3: 9 # D2: 2,3 => UNS * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * INC D8: 3,4,6 # D3: 5 => UNS * STA D8: 3,4,6 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D8,F9: 5..:
* INC # D8: 5 # D2: 1,6 => UNS * DIS # D8: 5 # E3: 1,6 => CTR => E3: 9 * INC # D8: 5 + E3: 9 # D2: 1,6 => UNS * INC # D8: 5 + E3: 9 # D2: 2,3 => UNS * DIS # D8: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # D8: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # D8: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => D8: 3,4,6 * INC D8: 3,4,6 # F9: 5 => UNS * STA D8: 3,4,6 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F1,D3: 5..:
* INC # F1: 5 # D2: 1,6 => UNS * DIS # F1: 5 # E3: 1,6 => CTR => E3: 9 * INC # F1: 5 + E3: 9 # D2: 1,6 => UNS * INC # F1: 5 + E3: 9 # D2: 2,3 => UNS * DIS # F1: 5 + E3: 9 # A3: 1,6 => CTR => A3: 7 * DIS # F1: 5 + E3: 9 + A3: 7 # B3: 1,6 => CTR => B3: 4 * DIS # F1: 5 + E3: 9 + A3: 7 + B3: 4 => CTR => F1: 2,3 * INC F1: 2,3 # D3: 5 => UNS * STA F1: 2,3 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H1,G2: 3..:
* INC # H1: 3 # D2: 1,2 => UNS * INC # H1: 3 # D2: 3,6 => UNS * INC # H1: 3 # C1: 1,2 => UNS * INC # H1: 3 # C1: 4 => UNS * INC # H1: 3 # E5: 1,2 => UNS * INC # H1: 3 # E5: 3,8 => UNS * INC # H1: 3 # F9: 2,5 => UNS * INC # H1: 3 # F9: 4,7,9 => UNS * INC # H1: 3 => UNS * INC # G2: 3 # F7: 2,9 => UNS * DIS # G2: 3 # F9: 2,9 => CTR => F9: 4,5,7 * INC # G2: 3 + F9: 4,5,7 # F7: 2,9 => UNS * INC # G2: 3 + F9: 4,5,7 # F7: 3,4,7 => UNS * INC # G2: 3 + F9: 4,5,7 # F7: 2,9 => UNS * INC # G2: 3 + F9: 4,5,7 # F7: 3,4,7 => UNS * INC # G2: 3 + F9: 4,5,7 # I1: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # G3: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # I3: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H5: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H8: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H9: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # F7: 2,9 => UNS * INC # G2: 3 + F9: 4,5,7 # F7: 3,4,7 => UNS * INC # G2: 3 + F9: 4,5,7 # I1: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # G3: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # I3: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H5: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H8: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 # H9: 4,5 => UNS * INC # G2: 3 + F9: 4,5,7 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for F2,E3: 9..:
* INC # F2: 9 # D2: 1,6 => UNS * DIS # F2: 9 # D3: 1,6 => CTR => D3: 5 * INC # F2: 9 + D3: 5 # D2: 1,6 => UNS * INC # F2: 9 + D3: 5 # D2: 2,3 => UNS * PRF # F2: 9 + D3: 5 # A3: 1,6 => SOL * STA # F2: 9 + D3: 5 + A3: 1,6 * CNT 5 HDP CHAINS / 6 HYP OPENED