Analysis of xx-ph-00000114-L9-base.sdk
Contents
Original Sudoku
level: deep
position: 1......8..5......68.9..21..............57...2..4..8.9.....6...3..1..4.2..7.3..... initial
Autosolve
position: 1......8..5......68.9..21..............57...2..4..8.9.....6...3..1..4.2..7.3..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for B3,D3: 6..:
* DIS # D3: 6 # D4: 1,2 => CTR => D4: 4,9 * DIS # B3: 6 # D2: 4,7 => CTR => D2: 1,8,9 * CNT 2 HDP CHAINS / 51 HYP OPENED
List of important HDP chains detected for D2,E2: 8..:
* DIS # D2: 8 # D7: 7,9 => CTR => D7: 1,2 * DIS # E2: 8 # E9: 5,9 => CTR => E9: 1,2 * CNT 2 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for G5,H5: 4..:
* PRF # H5: 4 # G1: 3,7 => SOL * STA # H5: 4 + G1: 3,7 * CNT 1 HDP CHAINS / 2 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
| 1......8..5......68.9..21..............57...2..4..8.9.....6...3..1..4.2..7.3..... | initial |
| 1......8..5......68.9..21..............57...2..4..8.9.....6...3..1..4.2..7.3..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G2: 2.. / G1 = 2 => 0 pairs (_) / G2 = 2 => 2 pairs (_) D7,E9: 2.. / D7 = 2 => 2 pairs (_) / E9 = 2 => 1 pairs (_) A8,B8: 3.. / A8 = 3 => 1 pairs (_) / B8 = 3 => 1 pairs (_) D4,E4: 4.. / D4 = 4 => 1 pairs (_) / E4 = 4 => 1 pairs (_) G5,H5: 4.. / G5 = 4 => 0 pairs (_) / H5 = 4 => 1 pairs (_) B3,D3: 6.. / B3 = 6 => 1 pairs (_) / D3 = 6 => 3 pairs (_) D2,E2: 8.. / D2 = 8 => 1 pairs (_) / E2 = 8 => 1 pairs (_) * DURATION: 0:00:04.661233 START: 03:07:36.965223 END: 03:07:41.626456 2020-09-23 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B3,D3: 6.. / B3 = 6 ==> 1 pairs (_) / D3 = 6 ==> 4 pairs (_) D7,E9: 2.. / D7 = 2 ==> 2 pairs (_) / E9 = 2 ==> 1 pairs (_) G1,G2: 2.. / G1 = 2 ==> 0 pairs (_) / G2 = 2 ==> 2 pairs (_) D2,E2: 8.. / D2 = 8 ==> 2 pairs (_) / E2 = 8 ==> 2 pairs (_) D4,E4: 4.. / D4 = 4 ==> 1 pairs (_) / E4 = 4 ==> 1 pairs (_) A8,B8: 3.. / A8 = 3 ==> 1 pairs (_) / B8 = 3 ==> 1 pairs (_) G5,H5: 4.. / G5 = 4 => 0 pairs (X) / H5 = 4 ==> 0 pairs (*) * DURATION: 0:01:12.322013 START: 03:07:41.627175 END: 03:08:53.949188 2020-09-23 * REASONING B3,D3: 6.. * DIS # D3: 6 # D4: 1,2 => CTR => D4: 4,9 * DIS # B3: 6 # D2: 4,7 => CTR => D2: 1,8,9 * CNT 2 HDP CHAINS / 51 HYP OPENED * REASONING D2,E2: 8.. * DIS # D2: 8 # D7: 7,9 => CTR => D7: 1,2 * DIS # E2: 8 # E9: 5,9 => CTR => E9: 1,2 * CNT 2 HDP CHAINS / 46 HYP OPENED * REASONING G5,H5: 4.. * PRF # H5: 4 # G1: 3,7 => SOL * STA # H5: 4 + G1: 3,7 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
Header Info
114;L9;elev;21;11.60;11.60;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B3,D3: 6..:
* INC # D3: 6 # B1: 3,4 => UNS * INC # D3: 6 # A2: 3,4 => UNS * INC # D3: 6 # E3: 3,4 => UNS * INC # D3: 6 # H3: 3,4 => UNS * INC # D3: 6 # G1: 3,4 => UNS * INC # D3: 6 # G2: 3,4 => UNS * INC # D3: 6 # H3: 3,4 => UNS * INC # D3: 6 # A2: 3,4 => UNS * INC # D3: 6 # E2: 3,4 => UNS * INC # D3: 6 # H5: 3,4 => UNS * INC # D3: 6 # H5: 1,6 => UNS * DIS # D3: 6 # D4: 1,2 => CTR => D4: 4,9 * INC # D3: 6 + D4: 4,9 # E4: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # E6: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # B6: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # B6: 3,6 => UNS * INC # D3: 6 + D4: 4,9 # D7: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # D7: 7,8,9 => UNS * INC # D3: 6 + D4: 4,9 # B1: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # A2: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # E3: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # H3: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # G1: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # G2: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # H3: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # A2: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # E2: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # H5: 3,4 => UNS * INC # D3: 6 + D4: 4,9 # H5: 1,6 => UNS * INC # D3: 6 + D4: 4,9 # E4: 4,9 => UNS * INC # D3: 6 + D4: 4,9 # E4: 1,2,3 => UNS * INC # D3: 6 + D4: 4,9 # D1: 4,9 => UNS * INC # D3: 6 + D4: 4,9 # D2: 4,9 => UNS * INC # D3: 6 + D4: 4,9 # E4: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # E6: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # B6: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # B6: 3,6 => UNS * INC # D3: 6 + D4: 4,9 # D7: 1,2 => UNS * INC # D3: 6 + D4: 4,9 # D7: 7,8,9 => UNS * INC # D3: 6 + D4: 4,9 => UNS * INC # B3: 6 # D1: 4,7 => UNS * DIS # B3: 6 # D2: 4,7 => CTR => D2: 1,8,9 * INC # B3: 6 + D2: 1,8,9 # D1: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 # D1: 6,9 => UNS * INC # B3: 6 + D2: 1,8,9 # H3: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 # I3: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 # D1: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 # D1: 6,9 => UNS * INC # B3: 6 + D2: 1,8,9 # H3: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 # I3: 4,7 => UNS * INC # B3: 6 + D2: 1,8,9 => UNS * CNT 51 HDP CHAINS / 51 HYP OPENED
Full list of HDP chains traversed for D7,E9: 2..:
* INC # D7: 2 # D4: 1,6 => UNS * INC # D7: 2 # F4: 1,6 => UNS * INC # D7: 2 # F5: 1,6 => UNS * INC # D7: 2 # B6: 1,6 => UNS * INC # D7: 2 # B6: 2,3 => UNS * INC # D7: 2 # C9: 5,8 => UNS * INC # D7: 2 # C9: 2,6 => UNS * INC # D7: 2 # G7: 5,8 => UNS * INC # D7: 2 # G7: 4,7,9 => UNS * INC # D7: 2 # C4: 5,8 => UNS * INC # D7: 2 # C4: 2,3,6,7 => UNS * INC # D7: 2 => UNS * INC # E9: 2 # E4: 1,3 => UNS * INC # E9: 2 # F4: 1,3 => UNS * INC # E9: 2 # F5: 1,3 => UNS * INC # E9: 2 # B6: 1,3 => UNS * INC # E9: 2 # B6: 2,6 => UNS * INC # E9: 2 # E2: 1,3 => UNS * INC # E9: 2 # E2: 4,8,9 => UNS * INC # E9: 2 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for G1,G2: 2..:
* INC # G2: 2 # C1: 3,7 => UNS * INC # G2: 2 # A2: 3,7 => UNS * INC # G2: 2 # H2: 3,7 => UNS * INC # G2: 2 # H2: 4 => UNS * INC # G2: 2 # C4: 3,7 => UNS * INC # G2: 2 # C4: 2,5,6,8 => UNS * INC # G2: 2 # D2: 1,9 => UNS * INC # G2: 2 # E2: 1,9 => UNS * INC # G2: 2 # F4: 1,9 => UNS * INC # G2: 2 # F5: 1,9 => UNS * INC # G2: 2 # F7: 1,9 => UNS * INC # G2: 2 # F9: 1,9 => UNS * INC # G2: 2 => UNS * INC # G1: 2 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D2,E2: 8..:
* DIS # D2: 8 # D7: 7,9 => CTR => D7: 1,2 * INC # D2: 8 + D7: 1,2 # F7: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # F7: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # F7: 1,5 => UNS * INC # D2: 8 + D7: 1,2 # G8: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # I8: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # D1: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # D1: 4,6 => UNS * INC # D2: 8 + D7: 1,2 # E9: 1,2 => UNS * INC # D2: 8 + D7: 1,2 # E9: 5,8,9 => UNS * INC # D2: 8 + D7: 1,2 # D4: 1,2 => UNS * INC # D2: 8 + D7: 1,2 # D6: 1,2 => UNS * INC # D2: 8 + D7: 1,2 # F7: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # F7: 1,5 => UNS * INC # D2: 8 + D7: 1,2 # G8: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # I8: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # D1: 7,9 => UNS * INC # D2: 8 + D7: 1,2 # D1: 4,6 => UNS * INC # D2: 8 + D7: 1,2 => UNS * INC # E2: 8 # F7: 5,9 => UNS * DIS # E2: 8 # E9: 5,9 => CTR => E9: 1,2 * INC # E2: 8 + E9: 1,2 # F9: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # A8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # G8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # I8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 3,4 => UNS * INC # E2: 8 + E9: 1,2 # F7: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # F9: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # A8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # G8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # I8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 3,4 => UNS * INC # E2: 8 + E9: 1,2 # F7: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # F9: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # A8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # G8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # I8: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 5,9 => UNS * INC # E2: 8 + E9: 1,2 # E1: 3,4 => UNS * INC # E2: 8 + E9: 1,2 # D7: 1,2 => UNS * INC # E2: 8 + E9: 1,2 # D7: 7,8,9 => UNS * INC # E2: 8 + E9: 1,2 # E4: 1,2 => UNS * INC # E2: 8 + E9: 1,2 # E6: 1,2 => UNS * INC # E2: 8 + E9: 1,2 => UNS * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for D4,E4: 4..:
* INC # D4: 4 # D1: 6,7 => UNS * INC # D4: 4 # F1: 6,7 => UNS * INC # D4: 4 => UNS * INC # E4: 4 # E1: 3,5 => UNS * INC # E4: 4 # F1: 3,5 => UNS * INC # E4: 4 # H3: 3,5 => UNS * INC # E4: 4 # H3: 4,7 => UNS * INC # E4: 4 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A8,B8: 3..:
* INC # A8: 3 # A4: 6,9 => UNS * INC # A8: 3 # B4: 6,9 => UNS * INC # A8: 3 # B5: 6,9 => UNS * INC # A8: 3 # F5: 6,9 => UNS * INC # A8: 3 # F5: 1,3 => UNS * INC # A8: 3 # A9: 6,9 => UNS * INC # A8: 3 # A9: 2,4,5 => UNS * INC # A8: 3 => UNS * INC # B8: 3 # B1: 4,6 => UNS * INC # B8: 3 # B1: 2 => UNS * INC # B8: 3 # D3: 4,6 => UNS * INC # B8: 3 # D3: 7 => UNS * INC # B8: 3 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G5,H5: 4..:
* PRF # H5: 4 # G1: 3,7 => SOL * STA # H5: 4 + G1: 3,7 * CNT 1 HDP CHAINS / 2 HYP OPENED