Analysis of xx-ph-00000924-730-base.sdk
Contents
Original Sudoku
level: very deep
position: .2.....8.4....9.....6.3.1......913.....8....7..9.4......1..46.....5....2.7.....5. initial
Autosolve
position: .2.....8.4....9.....6.3.1......913.....8....7..9.4......1..46.....5....2.7.....5. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for E2,F3: 8..:
* DIS # F3: 8 # A1: 5,9 => CTR => A1: 1,3,7 * CNT 1 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for D1,D3: 4..:
* DIS # D1: 4 # D2: 2,7 => CTR => D2: 1,6 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:47.766070
List of important HDP chains detected for D7,D9: 9..:
* DIS # D7: 9 # H8: 3,7 # G2: 2 => CTR => G2: 5,7 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 # F1: 5,7 => CTR => F1: 6 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 # A6: 5,6 => CTR => A6: 2,3,7 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 # B6: 5,6 => CTR => B6: 3 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 + B6: 3 => CTR => H8: 1,4,9 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 # G5: 4,9 => CTR => G5: 2,5 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 # H4: 2,6 => CTR => H4: 4 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 # A3: 5 => CTR => A3: 8,9 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 # I1: 4,9 => CTR => I1: 3,5,6 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 + I1: 3,5,6 => CTR => H2: 3,7 * PRF # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 # G2: 2 => SOL * STA # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 + G2: 2 * CNT 11 HDP CHAINS / 55 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
| .2.....8.4....9.....6.3.1......913.....8....7..9.4......1..46.....5....2.7.....5. | initial |
| .2.....8.4....9.....6.3.1......913.....8....7..9.4......1..46.....5....2.7.....5. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B2: 1.. / A1 = 1 => 1 pairs (_) / B2 = 1 => 0 pairs (_) H8,I9: 1.. / H8 = 1 => 1 pairs (_) / I9 = 1 => 0 pairs (_) E8,H8: 1.. / E8 = 1 => 0 pairs (_) / H8 = 1 => 1 pairs (_) I6,I9: 1.. / I6 = 1 => 1 pairs (_) / I9 = 1 => 0 pairs (_) D1,D3: 4.. / D1 = 4 => 1 pairs (_) / D3 = 4 => 1 pairs (_) A7,B7: 5.. / A7 = 5 => 0 pairs (_) / B7 = 5 => 1 pairs (_) E2,F3: 8.. / E2 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) G5,H5: 9.. / G5 = 9 => 1 pairs (_) / H5 = 9 => 1 pairs (_) D7,D9: 9.. / D7 = 9 => 2 pairs (_) / D9 = 9 => 1 pairs (_) * DURATION: 0:00:06.360378 START: 07:40:22.423510 END: 07:40:28.783888 2020-11-23 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D7,D9: 9.. / D7 = 9 ==> 2 pairs (_) / D9 = 9 ==> 1 pairs (_) G5,H5: 9.. / G5 = 9 ==> 1 pairs (_) / H5 = 9 ==> 1 pairs (_) E2,F3: 8.. / E2 = 8 ==> 1 pairs (_) / F3 = 8 ==> 2 pairs (_) D1,D3: 4.. / D1 = 4 ==> 2 pairs (_) / D3 = 4 ==> 1 pairs (_) A7,B7: 5.. / A7 = 5 ==> 0 pairs (_) / B7 = 5 ==> 1 pairs (_) I6,I9: 1.. / I6 = 1 ==> 1 pairs (_) / I9 = 1 ==> 0 pairs (_) E8,H8: 1.. / E8 = 1 ==> 0 pairs (_) / H8 = 1 ==> 1 pairs (_) H8,I9: 1.. / H8 = 1 ==> 1 pairs (_) / I9 = 1 ==> 0 pairs (_) A1,B2: 1.. / A1 = 1 ==> 1 pairs (_) / B2 = 1 ==> 0 pairs (_) * DURATION: 0:00:56.887046 START: 07:40:28.785212 END: 07:41:25.672258 2020-11-23 * REASONING E2,F3: 8.. * DIS # F3: 8 # A1: 5,9 => CTR => A1: 1,3,7 * CNT 1 HDP CHAINS / 18 HYP OPENED * REASONING D1,D3: 4.. * DIS # D1: 4 # D2: 2,7 => CTR => D2: 1,6 * CNT 1 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D7,D9: 9.. / D7 = 9 ==> 0 pairs (*) / D9 = 9 => 0 pairs (X) * DURATION: 0:00:47.764992 START: 07:41:25.776645 END: 07:42:13.541637 2020-11-23 * REASONING D7,D9: 9.. * DIS # D7: 9 # H8: 3,7 # G2: 2 => CTR => G2: 5,7 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 # F1: 5,7 => CTR => F1: 6 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 # A6: 5,6 => CTR => A6: 2,3,7 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 # B6: 5,6 => CTR => B6: 3 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 + B6: 3 => CTR => H8: 1,4,9 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 # G5: 4,9 => CTR => G5: 2,5 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 # H4: 2,6 => CTR => H4: 4 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 # A3: 5 => CTR => A3: 8,9 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 # I1: 4,9 => CTR => I1: 3,5,6 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 + I1: 3,5,6 => CTR => H2: 3,7 * PRF # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 # G2: 2 => SOL * STA # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 + G2: 2 * CNT 11 HDP CHAINS / 55 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
924;730;elev;21;11.30;11.30;7.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,D9: 9..:
* INC # D7: 9 # H8: 3,7 => UNS * INC # D7: 9 # H8: 1,4,9 => UNS * INC # D7: 9 # H2: 3,7 => UNS * INC # D7: 9 # H2: 2,6 => UNS * INC # D7: 9 # I9: 3,8 => UNS * INC # D7: 9 # I9: 1,4,9 => UNS * INC # D7: 9 # A7: 3,8 => UNS * INC # D7: 9 # B7: 3,8 => UNS * INC # D7: 9 => UNS * INC # D9: 9 # G8: 4,8 => UNS * INC # D9: 9 # I9: 4,8 => UNS * INC # D9: 9 # C9: 4,8 => UNS * INC # D9: 9 # C9: 2,3 => UNS * INC # D9: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G5,H5: 9..:
* INC # G5: 9 # G8: 4,8 => UNS * INC # G5: 9 # I9: 4,8 => UNS * INC # G5: 9 # C9: 4,8 => UNS * INC # G5: 9 # C9: 2,3 => UNS * INC # G5: 9 => UNS * INC # H5: 9 # H8: 3,7 => UNS * INC # H5: 9 # H8: 1,4 => UNS * INC # H5: 9 # D7: 3,7 => UNS * INC # H5: 9 # D7: 2,9 => UNS * INC # H5: 9 # H2: 3,7 => UNS * INC # H5: 9 # H2: 2,6 => UNS * INC # H5: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E2,F3: 8..:
* INC # E2: 8 # D7: 2,7 => UNS * INC # E2: 8 # D7: 3,9 => UNS * INC # E2: 8 => UNS * DIS # F3: 8 # A1: 5,9 => CTR => A1: 1,3,7 * INC # F3: 8 + A1: 1,3,7 # A3: 5,9 => UNS * INC # F3: 8 + A1: 1,3,7 # A3: 5,9 => UNS * INC # F3: 8 + A1: 1,3,7 # A3: 7 => UNS * INC # F3: 8 + A1: 1,3,7 # B7: 5,9 => UNS * INC # F3: 8 + A1: 1,3,7 # B7: 3,8 => UNS * INC # F3: 8 + A1: 1,3,7 # A3: 5,9 => UNS * INC # F3: 8 + A1: 1,3,7 # A3: 7 => UNS * INC # F3: 8 + A1: 1,3,7 # B7: 5,9 => UNS * INC # F3: 8 + A1: 1,3,7 # B7: 3,8 => UNS * INC # F3: 8 + A1: 1,3,7 # G1: 4,5 => UNS * INC # F3: 8 + A1: 1,3,7 # I1: 4,5 => UNS * INC # F3: 8 + A1: 1,3,7 # I4: 4,5 => UNS * INC # F3: 8 + A1: 1,3,7 # I4: 6,8 => UNS * INC # F3: 8 + A1: 1,3,7 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for D1,D3: 4..:
* DIS # D1: 4 # D2: 2,7 => CTR => D2: 1,6 * INC # D1: 4 + D2: 1,6 # E2: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # F3: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # H3: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # H3: 4,9 => UNS * INC # D1: 4 + D2: 1,6 # D4: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # D6: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # D7: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # E1: 1,6 => UNS * INC # D1: 4 + D2: 1,6 # E2: 1,6 => UNS * INC # D1: 4 + D2: 1,6 # D9: 1,6 => UNS * INC # D1: 4 + D2: 1,6 # D9: 2,3,9 => UNS * INC # D1: 4 + D2: 1,6 # E2: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # F3: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # H3: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # H3: 4,9 => UNS * INC # D1: 4 + D2: 1,6 # D4: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # D6: 2,7 => UNS * INC # D1: 4 + D2: 1,6 # D7: 2,7 => UNS * INC # D1: 4 + D2: 1,6 => UNS * INC # D3: 4 # G1: 5,9 => UNS * INC # D3: 4 # I1: 5,9 => UNS * INC # D3: 4 # A3: 5,9 => UNS * INC # D3: 4 # B3: 5,9 => UNS * INC # D3: 4 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for A7,B7: 5..:
* INC # B7: 5 # A3: 8,9 => UNS * INC # B7: 5 # A3: 5,7 => UNS * INC # B7: 5 # B8: 8,9 => UNS * INC # B7: 5 # B8: 3,4,6 => UNS * INC # B7: 5 => UNS * INC # A7: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I6,I9: 1..:
* INC # I6: 1 # H4: 2,6 => UNS * INC # I6: 1 # H5: 2,6 => UNS * INC # I6: 1 # A6: 2,6 => UNS * INC # I6: 1 # D6: 2,6 => UNS * INC # I6: 1 # F6: 2,6 => UNS * INC # I6: 1 # H2: 2,6 => UNS * INC # I6: 1 # H2: 3,7 => UNS * INC # I6: 1 => UNS * INC # I9: 1 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E8,H8: 1..:
* INC # H8: 1 # H4: 2,6 => UNS * INC # H8: 1 # H5: 2,6 => UNS * INC # H8: 1 # A6: 2,6 => UNS * INC # H8: 1 # D6: 2,6 => UNS * INC # H8: 1 # F6: 2,6 => UNS * INC # H8: 1 # H2: 2,6 => UNS * INC # H8: 1 # H2: 3,7 => UNS * INC # H8: 1 => UNS * INC # E8: 1 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H8,I9: 1..:
* INC # H8: 1 # H4: 2,6 => UNS * INC # H8: 1 # H5: 2,6 => UNS * INC # H8: 1 # A6: 2,6 => UNS * INC # H8: 1 # D6: 2,6 => UNS * INC # H8: 1 # F6: 2,6 => UNS * INC # H8: 1 # H2: 2,6 => UNS * INC # H8: 1 # H2: 3,7 => UNS * INC # H8: 1 => UNS * INC # I9: 1 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A1,B2: 1..:
* INC # A1: 1 # G1: 4,5 => UNS * INC # A1: 1 # I1: 4,5 => UNS * INC # A1: 1 # I4: 4,5 => UNS * INC # A1: 1 # I4: 6,8 => UNS * INC # A1: 1 => UNS * INC # B2: 1 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,D9: 9..:
* INC # D7: 9 # H8: 3,7 => UNS * INC # D7: 9 # H8: 1,4,9 => UNS * INC # D7: 9 # H2: 3,7 => UNS * INC # D7: 9 # H2: 2,6 => UNS * INC # D7: 9 # I9: 3,8 => UNS * INC # D7: 9 # I9: 1,4,9 => UNS * INC # D7: 9 # A7: 3,8 => UNS * INC # D7: 9 # B7: 3,8 => UNS * INC # D7: 9 # H8: 3,7 # G2: 5,7 => UNS * DIS # D7: 9 # H8: 3,7 # G2: 2 => CTR => G2: 5,7 * INC # D7: 9 # H8: 3,7 + G2: 5,7 # E1: 5,7 => UNS * DIS # D7: 9 # H8: 3,7 + G2: 5,7 # F1: 5,7 => CTR => F1: 6 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 # A6: 5,6 => CTR => A6: 2,3,7 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 # B6: 5,6 => CTR => B6: 3 * DIS # D7: 9 # H8: 3,7 + G2: 5,7 + F1: 6 + A6: 2,3,7 + B6: 3 => CTR => H8: 1,4,9 * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 => UNS * INC # D7: 9 + H8: 1,4,9 # I9: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # I9: 1,4,9 => UNS * INC # D7: 9 + H8: 1,4,9 # A7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # B7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 => UNS * INC # D7: 9 + H8: 1,4,9 # I9: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # I9: 1,4,9 => UNS * INC # D7: 9 + H8: 1,4,9 # A7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # B7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # C2: 3,7 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # C2: 5,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # I9: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # I9: 1,4,9 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # A7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 # B7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 3,7 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 # A3: 8,9 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 # A3: 5 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 # B8: 8,9 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 # B8: 3,4,6 => UNS * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 # G5: 2,5 => UNS * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 # G5: 4,9 => CTR => G5: 2,5 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 # H4: 2,6 => CTR => H4: 4 * INC # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 # A3: 8,9 => UNS * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 # A3: 5 => CTR => A3: 8,9 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 # I1: 4,9 => CTR => I1: 3,5,6 * DIS # D7: 9 + H8: 1,4,9 # H2: 2,6 + G5: 2,5 + H4: 4 + A3: 8,9 + I1: 3,5,6 => CTR => H2: 3,7 * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # C2: 3,7 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # C2: 5,8 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 1,4,9 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # A7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # B7: 3,8 => UNS * INC # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 # G2: 5,7 => UNS * PRF # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 # G2: 2 => SOL * STA # D7: 9 + H8: 1,4,9 + H2: 3,7 # I9: 3,8 + G2: 2 * CNT 53 HDP CHAINS / 55 HYP OPENED