Analysis of xx-ph-00054379-12_10-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...8......4..5.3.3......9..2...9.....9.5.4..1...6...7..5..2.4....5..1.. initial
Autosolve
position: 98.7..6..5...8......4..5.3.35.....9.42...9.....9.5.4..1...6...7..5..2.4....5..1.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for G3,I3: 8..:
* DIS # G3: 8 # G7: 3,9 => CTR => G7: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for B7,B9: 4..:
* DIS # B7: 4 # D7: 3,8 => CTR => D7: 9 * DIS # B7: 4 + D7: 9 # G7: 3,8 => CTR => G7: 2,5 * CNT 2 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:22.040762
List of important HDP chains detected for A3,A9: 2..:
* DIS # A9: 2 # B2: 6,7 # D2: 2,9 => CTR => D2: 1,3,4,6 * DIS # A9: 2 # B2: 6,7 + D2: 1,3,4,6 # D3: 2,9 => CTR => D3: 6 * PRF # A9: 2 # B2: 6,7 + D2: 1,3,4,6 + D3: 6 => SOL * STA # A9: 2 + B2: 6,7 * CNT 3 HDP CHAINS / 25 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..5...8......4..5.3.3......9..2...9.....9.5.4..1...6...7..5..2.4....5..1.. | initial |
| 98.7..6..5...8......4..5.3.35.....9.42...9.....9.5.4..1...6...7..5..2.4....5..1.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D8,E8: 1.. / D8 = 1 => 0 pairs (_) / E8 = 1 => 2 pairs (_) A3,A9: 2.. / A3 = 2 => 2 pairs (_) / A9 = 2 => 5 pairs (_) I1,I2: 4.. / I1 = 4 => 2 pairs (_) / I2 = 4 => 0 pairs (_) B7,B9: 4.. / B7 = 4 => 1 pairs (_) / B9 = 4 => 1 pairs (_) H1,I1: 5.. / H1 = 5 => 1 pairs (_) / I1 = 5 => 1 pairs (_) G7,H7: 5.. / G7 = 5 => 1 pairs (_) / H7 = 5 => 1 pairs (_) G5,G7: 5.. / G5 = 5 => 1 pairs (_) / G7 = 5 => 1 pairs (_) I1,I5: 5.. / I1 = 5 => 1 pairs (_) / I5 = 5 => 1 pairs (_) G3,I3: 8.. / G3 = 8 => 2 pairs (_) / I3 = 8 => 0 pairs (_) * DURATION: 0:00:05.595157 START: 10:12:42.150352 END: 10:12:47.745509 2020-10-27 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A3,A9: 2.. / A3 = 2 ==> 2 pairs (_) / A9 = 2 ==> 5 pairs (_) G3,I3: 8.. / G3 = 8 ==> 3 pairs (_) / I3 = 8 ==> 0 pairs (_) I1,I2: 4.. / I1 = 4 ==> 2 pairs (_) / I2 = 4 ==> 0 pairs (_) D8,E8: 1.. / D8 = 1 ==> 0 pairs (_) / E8 = 1 ==> 2 pairs (_) I1,I5: 5.. / I1 = 5 ==> 1 pairs (_) / I5 = 5 ==> 1 pairs (_) G5,G7: 5.. / G5 = 5 ==> 1 pairs (_) / G7 = 5 ==> 1 pairs (_) G7,H7: 5.. / G7 = 5 ==> 1 pairs (_) / H7 = 5 ==> 1 pairs (_) H1,I1: 5.. / H1 = 5 ==> 1 pairs (_) / I1 = 5 ==> 1 pairs (_) B7,B9: 4.. / B7 = 4 ==> 2 pairs (_) / B9 = 4 ==> 1 pairs (_) * DURATION: 0:01:13.902575 START: 10:12:47.746056 END: 10:14:01.648631 2020-10-27 * REASONING G3,I3: 8.. * DIS # G3: 8 # G7: 3,9 => CTR => G7: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING B7,B9: 4.. * DIS # B7: 4 # D7: 3,8 => CTR => D7: 9 * DIS # B7: 4 + D7: 9 # G7: 3,8 => CTR => G7: 2,5 * CNT 2 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A3,A9: 2.. / A3 = 2 => 0 pairs (X) / A9 = 2 ==> 0 pairs (*) * DURATION: 0:00:22.038054 START: 10:14:01.747680 END: 10:14:23.785734 2020-10-27 * REASONING A3,A9: 2.. * DIS # A9: 2 # B2: 6,7 # D2: 2,9 => CTR => D2: 1,3,4,6 * DIS # A9: 2 # B2: 6,7 + D2: 1,3,4,6 # D3: 2,9 => CTR => D3: 6 * PRF # A9: 2 # B2: 6,7 + D2: 1,3,4,6 + D3: 6 => SOL * STA # A9: 2 + B2: 6,7 * CNT 3 HDP CHAINS / 25 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
54379;12_10;GP;24;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A3,A9: 2..:
* INC # A9: 2 # B2: 6,7 => UNS * INC # A9: 2 # C2: 6,7 => UNS * INC # A9: 2 # B3: 6,7 => UNS * INC # A9: 2 # A6: 6,7 => UNS * INC # A9: 2 # A8: 6,7 => UNS * INC # A9: 2 # C9: 3,8 => UNS * INC # A9: 2 # C9: 6,7 => UNS * INC # A9: 2 # D7: 3,8 => UNS * INC # A9: 2 # F7: 3,8 => UNS * INC # A9: 2 # H1: 2,5 => UNS * INC # A9: 2 # H1: 1 => UNS * INC # A9: 2 # I8: 6,8 => UNS * INC # A9: 2 # I9: 6,8 => UNS * INC # A9: 2 # C9: 6,8 => UNS * INC # A9: 2 # C9: 3,7 => UNS * INC # A9: 2 # H5: 6,8 => UNS * INC # A9: 2 # H6: 6,8 => UNS * INC # A9: 2 => UNS * INC # A3: 2 # B2: 1,3 => UNS * INC # A3: 2 # C2: 1,3 => UNS * INC # A3: 2 # E1: 1,3 => UNS * INC # A3: 2 # F1: 1,3 => UNS * INC # A3: 2 # D2: 1,9 => UNS * INC # A3: 2 # D3: 1,9 => UNS * INC # A3: 2 # I3: 1,9 => UNS * INC # A3: 2 # I3: 8 => UNS * INC # A3: 2 # E8: 1,9 => UNS * INC # A3: 2 # E8: 3,7 => UNS * INC # A3: 2 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for G3,I3: 8..:
* INC # G3: 8 # H6: 2,7 => UNS * INC # G3: 8 # H6: 1,6,8 => UNS * INC # G3: 8 # E4: 2,7 => UNS * INC # G3: 8 # E4: 1,4 => UNS * INC # G3: 8 # G2: 2,7 => UNS * INC # G3: 8 # G2: 9 => UNS * DIS # G3: 8 # G7: 3,9 => CTR => G7: 2,5 * INC # G3: 8 + G7: 2,5 # I8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # I9: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # B8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # D8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # E8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # H6: 2,7 => UNS * INC # G3: 8 + G7: 2,5 # H6: 1,6,8 => UNS * INC # G3: 8 + G7: 2,5 # E4: 2,7 => UNS * INC # G3: 8 + G7: 2,5 # E4: 1,4 => UNS * INC # G3: 8 + G7: 2,5 # G2: 2,7 => UNS * INC # G3: 8 + G7: 2,5 # G2: 9 => UNS * INC # G3: 8 + G7: 2,5 # H7: 2,5 => UNS * INC # G3: 8 + G7: 2,5 # H7: 8 => UNS * INC # G3: 8 + G7: 2,5 # I8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # I9: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # B8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # D8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 # E8: 3,9 => UNS * INC # G3: 8 + G7: 2,5 => UNS * INC # I3: 8 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for I1,I2: 4..:
* INC # I1: 4 # E1: 1,3 => UNS * INC # I1: 4 # D2: 1,3 => UNS * INC # I1: 4 # F2: 1,3 => UNS * INC # I1: 4 # C1: 1,3 => UNS * INC # I1: 4 # C1: 2 => UNS * INC # I1: 4 # F6: 1,3 => UNS * INC # I1: 4 # F6: 6,7,8 => UNS * INC # I1: 4 # H9: 2,8 => UNS * INC # I1: 4 # I9: 2,8 => UNS * INC # I1: 4 # C7: 2,8 => UNS * INC # I1: 4 # C7: 3 => UNS * INC # I1: 4 # H6: 2,8 => UNS * INC # I1: 4 # H6: 1,6,7 => UNS * INC # I1: 4 => UNS * INC # I2: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D8,E8: 1..:
* INC # E8: 1 # D2: 2,9 => UNS * INC # E8: 1 # D3: 2,9 => UNS * INC # E8: 1 # G3: 2,9 => UNS * INC # E8: 1 # I3: 2,9 => UNS * INC # E8: 1 # F6: 3,7 => UNS * INC # E8: 1 # F6: 1,6,8 => UNS * INC # E8: 1 # G5: 3,7 => UNS * INC # E8: 1 # G5: 5,8 => UNS * INC # E8: 1 # E9: 3,7 => UNS * INC # E8: 1 # E9: 4,9 => UNS * INC # E8: 1 => UNS * INC # D8: 1 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for I1,I5: 5..:
* INC # I1: 5 # H2: 1,2 => UNS * INC # I1: 5 # I3: 1,2 => UNS * INC # I1: 5 # C1: 1,2 => UNS * INC # I1: 5 # E1: 1,2 => UNS * INC # I1: 5 # H6: 1,2 => UNS * INC # I1: 5 # H6: 6,7,8 => UNS * INC # I1: 5 => UNS * INC # I5: 5 # H9: 2,8 => UNS * INC # I5: 5 # I9: 2,8 => UNS * INC # I5: 5 # C7: 2,8 => UNS * INC # I5: 5 # C7: 3 => UNS * INC # I5: 5 # H6: 2,8 => UNS * INC # I5: 5 # H6: 1,6,7 => UNS * INC # I5: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G5,G7: 5..:
* INC # G5: 5 # H2: 1,2 => UNS * INC # G5: 5 # I3: 1,2 => UNS * INC # G5: 5 # C1: 1,2 => UNS * INC # G5: 5 # E1: 1,2 => UNS * INC # G5: 5 # H6: 1,2 => UNS * INC # G5: 5 # H6: 6,7,8 => UNS * INC # G5: 5 => UNS * INC # G7: 5 # H9: 2,8 => UNS * INC # G7: 5 # I9: 2,8 => UNS * INC # G7: 5 # C7: 2,8 => UNS * INC # G7: 5 # C7: 3 => UNS * INC # G7: 5 # H6: 2,8 => UNS * INC # G7: 5 # H6: 1,6,7 => UNS * INC # G7: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G7,H7: 5..:
* INC # G7: 5 # H9: 2,8 => UNS * INC # G7: 5 # I9: 2,8 => UNS * INC # G7: 5 # C7: 2,8 => UNS * INC # G7: 5 # C7: 3 => UNS * INC # G7: 5 # H6: 2,8 => UNS * INC # G7: 5 # H6: 1,6,7 => UNS * INC # G7: 5 => UNS * INC # H7: 5 # H2: 1,2 => UNS * INC # H7: 5 # I3: 1,2 => UNS * INC # H7: 5 # C1: 1,2 => UNS * INC # H7: 5 # E1: 1,2 => UNS * INC # H7: 5 # H6: 1,2 => UNS * INC # H7: 5 # H6: 6,7,8 => UNS * INC # H7: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H1,I1: 5..:
* INC # H1: 5 # H9: 2,8 => UNS * INC # H1: 5 # I9: 2,8 => UNS * INC # H1: 5 # C7: 2,8 => UNS * INC # H1: 5 # C7: 3 => UNS * INC # H1: 5 # H6: 2,8 => UNS * INC # H1: 5 # H6: 1,6,7 => UNS * INC # H1: 5 => UNS * INC # I1: 5 # H2: 1,2 => UNS * INC # I1: 5 # I3: 1,2 => UNS * INC # I1: 5 # C1: 1,2 => UNS * INC # I1: 5 # E1: 1,2 => UNS * INC # I1: 5 # H6: 1,2 => UNS * INC # I1: 5 # H6: 6,7,8 => UNS * INC # I1: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B7,B9: 4..:
* DIS # B7: 4 # D7: 3,8 => CTR => D7: 9 * INC # B7: 4 + D7: 9 # D8: 3,8 => UNS * INC # B7: 4 + D7: 9 # F9: 3,8 => UNS * INC # B7: 4 + D7: 9 # C7: 3,8 => UNS * DIS # B7: 4 + D7: 9 # G7: 3,8 => CTR => G7: 2,5 * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 2 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 1,6,7 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # D8: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F9: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 2 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 1,6,7 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # D8: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F9: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # C7: 2 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 3,8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # F6: 1,6,7 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # H7: 2,5 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 # H7: 8 => UNS * INC # B7: 4 + D7: 9 + G7: 2,5 => UNS * INC # B9: 4 # B8: 3,9 => UNS * INC # B9: 4 # B8: 6,7 => UNS * INC # B9: 4 # D7: 3,9 => UNS * INC # B9: 4 # G7: 3,9 => UNS * INC # B9: 4 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A3,A9: 2..:
* INC # A9: 2 # B2: 6,7 => UNS * INC # A9: 2 # C2: 6,7 => UNS * INC # A9: 2 # B3: 6,7 => UNS * INC # A9: 2 # A6: 6,7 => UNS * INC # A9: 2 # A8: 6,7 => UNS * INC # A9: 2 # C9: 3,8 => UNS * INC # A9: 2 # C9: 6,7 => UNS * INC # A9: 2 # D7: 3,8 => UNS * INC # A9: 2 # F7: 3,8 => UNS * INC # A9: 2 # H1: 2,5 => UNS * INC # A9: 2 # H1: 1 => UNS * INC # A9: 2 # I8: 6,8 => UNS * INC # A9: 2 # I9: 6,8 => UNS * INC # A9: 2 # C9: 6,8 => UNS * INC # A9: 2 # C9: 3,7 => UNS * INC # A9: 2 # H5: 6,8 => UNS * INC # A9: 2 # H6: 6,8 => UNS * INC # A9: 2 # B2: 6,7 # E1: 2,3 => UNS * INC # A9: 2 # B2: 6,7 # E1: 1,4 => UNS * INC # A9: 2 # B2: 6,7 # D2: 2,3 => UNS * INC # A9: 2 # B2: 6,7 # D2: 1,4,6,9 => UNS * DIS # A9: 2 # B2: 6,7 # D2: 2,9 => CTR => D2: 1,3,4,6 * DIS # A9: 2 # B2: 6,7 + D2: 1,3,4,6 # D3: 2,9 => CTR => D3: 6 * PRF # A9: 2 # B2: 6,7 + D2: 1,3,4,6 + D3: 6 => SOL * STA # A9: 2 + B2: 6,7 * CNT 24 HDP CHAINS / 25 HYP OPENED