Analysis of xx-ph-00279447-12_12_03-base.sdk
Contents
Original Sudoku
level: very deep
position: ........1....23.4...25..6....3..57...8.2.....9..67......6.5.3...9.....8.1.......4 initial
Autosolve
position: ........1....23.4...25..6....3..57...8.23....9..67......6.5.3...9.....8.1.......4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for H7,G8: 1..:
* DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7 * CNT 1 HDP CHAINS / 33 HYP OPENED
List of important HDP chains detected for A5,C5: 7..:
* DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7 * CNT 1 HDP CHAINS / 11 HYP OPENED
List of important HDP chains detected for G1,H1: 2..:
* DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7 * CNT 1 HDP CHAINS / 11 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:35.768444
List of important HDP chains detected for A7,C9: 8..:
* DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7 * DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7 * PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL * STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1 * CNT 3 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
| ........1....23.4...25..6....3..57...8.2.....9..67......6.5.3...9.....8.1.......4 | initial |
| ........1....23.4...25..6....3..57...8.23....9..67......6.5.3...9.....8.1.......4 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G8: 1.. / H7 = 1 => 3 pairs (_) / G8 = 1 => 1 pairs (_) G1,H1: 2.. / G1 = 2 => 2 pairs (_) / H1 = 2 => 0 pairs (_) H6,I6: 3.. / H6 = 3 => 1 pairs (_) / I6 = 3 => 0 pairs (_) A8,B9: 3.. / A8 = 3 => 0 pairs (_) / B9 = 3 => 0 pairs (_) D8,D9: 3.. / D8 = 3 => 0 pairs (_) / D9 = 3 => 0 pairs (_) A8,D8: 3.. / A8 = 3 => 0 pairs (_) / D8 = 3 => 0 pairs (_) B9,D9: 3.. / B9 = 3 => 0 pairs (_) / D9 = 3 => 0 pairs (_) I3,I6: 3.. / I3 = 3 => 1 pairs (_) / I6 = 3 => 0 pairs (_) G5,G6: 4.. / G5 = 4 => 1 pairs (_) / G6 = 4 => 2 pairs (_) A2,B2: 6.. / A2 = 6 => 1 pairs (_) / B2 = 6 => 0 pairs (_) E1,F1: 6.. / E1 = 6 => 2 pairs (_) / F1 = 6 => 0 pairs (_) I8,H9: 6.. / I8 = 6 => 2 pairs (_) / H9 = 6 => 1 pairs (_) B2,B4: 6.. / B2 = 6 => 0 pairs (_) / B4 = 6 => 1 pairs (_) A5,C5: 7.. / A5 = 7 => 0 pairs (_) / C5 = 7 => 2 pairs (_) A7,C9: 8.. / A7 = 8 => 3 pairs (_) / C9 = 8 => 1 pairs (_) C1,C2: 9.. / C1 = 9 => 0 pairs (_) / C2 = 9 => 1 pairs (_) * DURATION: 0:00:11.053561 START: 17:19:25.004384 END: 17:19:36.057945 2020-12-24 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A7,C9: 8.. / A7 = 8 ==> 3 pairs (_) / C9 = 8 ==> 1 pairs (_) H7,G8: 1.. / H7 = 1 ==> 4 pairs (_) / G8 = 1 ==> 1 pairs (_) I8,H9: 6.. / I8 = 6 ==> 2 pairs (_) / H9 = 6 ==> 1 pairs (_) G5,G6: 4.. / G5 = 4 ==> 1 pairs (_) / G6 = 4 ==> 2 pairs (_) A5,C5: 7.. / A5 = 7 ==> 0 pairs (_) / C5 = 7 ==> 2 pairs (_) E1,F1: 6.. / E1 = 6 ==> 2 pairs (_) / F1 = 6 ==> 0 pairs (_) G1,H1: 2.. / G1 = 2 ==> 2 pairs (_) / H1 = 2 ==> 0 pairs (_) C1,C2: 9.. / C1 = 9 ==> 0 pairs (_) / C2 = 9 ==> 1 pairs (_) B2,B4: 6.. / B2 = 6 ==> 0 pairs (_) / B4 = 6 ==> 1 pairs (_) A2,B2: 6.. / A2 = 6 ==> 1 pairs (_) / B2 = 6 ==> 0 pairs (_) I3,I6: 3.. / I3 = 3 ==> 1 pairs (_) / I6 = 3 ==> 0 pairs (_) H6,I6: 3.. / H6 = 3 ==> 1 pairs (_) / I6 = 3 ==> 0 pairs (_) B9,D9: 3.. / B9 = 3 ==> 0 pairs (_) / D9 = 3 ==> 0 pairs (_) A8,D8: 3.. / A8 = 3 ==> 0 pairs (_) / D8 = 3 ==> 0 pairs (_) D8,D9: 3.. / D8 = 3 ==> 0 pairs (_) / D9 = 3 ==> 0 pairs (_) A8,B9: 3.. / A8 = 3 ==> 0 pairs (_) / B9 = 3 ==> 0 pairs (_) * DURATION: 0:01:32.412752 START: 17:19:36.058930 END: 17:21:08.471682 2020-12-24 * REASONING H7,G8: 1.. * DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7 * CNT 1 HDP CHAINS / 33 HYP OPENED * REASONING A5,C5: 7.. * DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7 * CNT 1 HDP CHAINS / 11 HYP OPENED * REASONING G1,H1: 2.. * DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7 * CNT 1 HDP CHAINS / 11 HYP OPENED * DCP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A7,C9: 8.. / A7 = 8 ==> 0 pairs (*) / C9 = 8 => 0 pairs (X) * DURATION: 0:00:35.766191 START: 17:21:08.678794 END: 17:21:44.444985 2020-12-24 * REASONING A7,C9: 8.. * DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7 * DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7 * PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL * STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1 * CNT 3 HDP CHAINS / 27 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
279447;12_12_03;dob;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A7,C9: 8..:
* INC # A7: 8 # D1: 8,9 => UNS * INC # A7: 8 # E1: 8,9 => UNS * INC # A7: 8 # F1: 8,9 => UNS * INC # A7: 8 # G1: 8,9 => UNS * INC # A7: 8 # D2: 8,9 => UNS * INC # A7: 8 # G2: 8,9 => UNS * INC # A7: 8 # I2: 8,9 => UNS * INC # A7: 8 # A8: 5,7 => UNS * INC # A7: 8 # C8: 5,7 => UNS * INC # A7: 8 # B9: 5,7 => UNS * INC # A7: 8 # H9: 5,7 => UNS * INC # A7: 8 # H9: 2,6,9 => UNS * INC # A7: 8 # C5: 5,7 => UNS * INC # A7: 8 # C5: 1,4 => UNS * INC # A7: 8 => UNS * INC # C9: 8 # F9: 6,9 => UNS * INC # C9: 8 # F9: 2,7 => UNS * INC # C9: 8 # H9: 6,9 => UNS * INC # C9: 8 # H9: 2,5,7 => UNS * INC # C9: 8 # E1: 6,9 => UNS * INC # C9: 8 # E1: 4,8 => UNS * INC # C9: 8 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H7,G8: 1..:
* INC # H7: 1 # C5: 1,4 => UNS * INC # H7: 1 # F5: 1,4 => UNS * INC # H7: 1 # B6: 1,4 => UNS * INC # H7: 1 # C6: 1,4 => UNS * INC # H7: 1 # F6: 1,4 => UNS * DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7 * INC # H7: 1 + I8: 6,7 # G9: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # H9: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # A8: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # A8: 3,4,7 => UNS * INC # H7: 1 + I8: 6,7 # G1: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # G1: 8,9 => UNS * INC # H7: 1 + I8: 6,7 # C5: 1,4 => UNS * INC # H7: 1 + I8: 6,7 # F5: 1,4 => UNS * INC # H7: 1 + I8: 6,7 # B6: 1,4 => UNS * INC # H7: 1 + I8: 6,7 # C6: 1,4 => UNS * INC # H7: 1 + I8: 6,7 # F6: 1,4 => UNS * INC # H7: 1 + I8: 6,7 # G9: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # H9: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # A8: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # A8: 3,4,7 => UNS * INC # H7: 1 + I8: 6,7 # G1: 2,5 => UNS * INC # H7: 1 + I8: 6,7 # G1: 8,9 => UNS * INC # H7: 1 + I8: 6,7 # H9: 6,7 => UNS * INC # H7: 1 + I8: 6,7 # H9: 2,5,9 => UNS * INC # H7: 1 + I8: 6,7 # F8: 6,7 => UNS * INC # H7: 1 + I8: 6,7 # F8: 1,2,4 => UNS * INC # H7: 1 + I8: 6,7 => UNS * INC # G8: 1 # F8: 4,6 => UNS * INC # G8: 1 # F8: 2,7 => UNS * INC # G8: 1 # E1: 4,6 => UNS * INC # G8: 1 # E1: 8,9 => UNS * INC # G8: 1 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for I8,H9: 6..:
* INC # I8: 6 # G5: 5,9 => UNS * INC # I8: 6 # H5: 5,9 => UNS * INC # I8: 6 # I2: 5,9 => UNS * INC # I8: 6 # I2: 7,8 => UNS * INC # I8: 6 # D7: 1,4 => UNS * INC # I8: 6 # F7: 1,4 => UNS * INC # I8: 6 # D8: 1,4 => UNS * INC # I8: 6 # F8: 1,4 => UNS * INC # I8: 6 # E3: 1,4 => UNS * INC # I8: 6 # E4: 1,4 => UNS * INC # I8: 6 => UNS * INC # H9: 6 # D7: 8,9 => UNS * INC # H9: 6 # F7: 8,9 => UNS * INC # H9: 6 # D9: 8,9 => UNS * INC # H9: 6 # F9: 8,9 => UNS * INC # H9: 6 # E1: 8,9 => UNS * INC # H9: 6 # E3: 8,9 => UNS * INC # H9: 6 # E4: 8,9 => UNS * INC # H9: 6 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for G5,G6: 4..:
* INC # G6: 4 # C5: 1,5 => UNS * INC # G6: 4 # B6: 1,5 => UNS * INC # G6: 4 # H6: 1,5 => UNS * INC # G6: 4 # H6: 2,3 => UNS * INC # G6: 4 # C2: 1,5 => UNS * INC # G6: 4 # C2: 7,8,9 => UNS * INC # G6: 4 # D4: 1,8 => UNS * INC # G6: 4 # E4: 1,8 => UNS * INC # G6: 4 # F3: 1,8 => UNS * INC # G6: 4 # F7: 1,8 => UNS * INC # G6: 4 => UNS * INC # G5: 4 # D4: 1,9 => UNS * INC # G5: 4 # E4: 1,9 => UNS * INC # G5: 4 # H5: 1,9 => UNS * INC # G5: 4 # H5: 5,6 => UNS * INC # G5: 4 # F3: 1,9 => UNS * INC # G5: 4 # F7: 1,9 => UNS * INC # G5: 4 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A5,C5: 7..:
* DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7 * INC # C5: 7 + A8: 2,3,7 # C1: 4,5 => UNS * INC # C5: 7 + A8: 2,3,7 # C6: 4,5 => UNS * INC # C5: 7 + A8: 2,3,7 # C1: 5,8 => UNS * INC # C5: 7 + A8: 2,3,7 # C2: 5,8 => UNS * INC # C5: 7 + A8: 2,3,7 # C1: 4,5 => UNS * INC # C5: 7 + A8: 2,3,7 # C6: 4,5 => UNS * INC # C5: 7 + A8: 2,3,7 # C1: 5,8 => UNS * INC # C5: 7 + A8: 2,3,7 # C2: 5,8 => UNS * INC # C5: 7 + A8: 2,3,7 => UNS * INC # A5: 7 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for E1,F1: 6..:
* INC # E1: 6 # D7: 1,4 => UNS * INC # E1: 6 # F7: 1,4 => UNS * INC # E1: 6 # D8: 1,4 => UNS * INC # E1: 6 # F8: 1,4 => UNS * INC # E1: 6 # E3: 1,4 => UNS * INC # E1: 6 # E4: 1,4 => UNS * INC # E1: 6 # D7: 8,9 => UNS * INC # E1: 6 # F7: 8,9 => UNS * INC # E1: 6 # D9: 8,9 => UNS * INC # E1: 6 # F9: 8,9 => UNS * INC # E1: 6 # E3: 8,9 => UNS * INC # E1: 6 # E4: 8,9 => UNS * INC # E1: 6 => UNS * INC # F1: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G1,H1: 2..:
* INC # G1: 2 # G5: 1,5 => UNS * INC # G1: 2 # G6: 1,5 => UNS * DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7 * INC # G1: 2 + H9: 2,6,7 # G2: 5,9 => UNS * INC # G1: 2 + H9: 2,6,7 # G5: 5,9 => UNS * INC # G1: 2 + H9: 2,6,7 # G5: 1,5 => UNS * INC # G1: 2 + H9: 2,6,7 # G6: 1,5 => UNS * INC # G1: 2 + H9: 2,6,7 # G2: 5,9 => UNS * INC # G1: 2 + H9: 2,6,7 # G5: 5,9 => UNS * INC # G1: 2 + H9: 2,6,7 => UNS * INC # H1: 2 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for C1,C2: 9..:
* INC # C2: 9 # G1: 5,8 => UNS * INC # C2: 9 # I2: 5,8 => UNS * INC # C2: 9 # A2: 5,8 => UNS * INC # C2: 9 # A2: 6,7 => UNS * INC # C2: 9 # G6: 5,8 => UNS * INC # C2: 9 # G6: 1,2,4 => UNS * INC # C2: 9 => UNS * INC # C1: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B2,B4: 6..:
* INC # B4: 6 # B6: 2,4 => UNS * INC # B4: 6 # B6: 1,5 => UNS * INC # B4: 6 # A7: 2,4 => UNS * INC # B4: 6 # A8: 2,4 => UNS * INC # B4: 6 => UNS * INC # B2: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A2,B2: 6..:
* INC # A2: 6 # B6: 2,4 => UNS * INC # A2: 6 # B6: 1,5 => UNS * INC # A2: 6 # A7: 2,4 => UNS * INC # A2: 6 # A8: 2,4 => UNS * INC # A2: 6 => UNS * INC # B2: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I3,I6: 3..:
* INC # I3: 3 # H1: 7,9 => UNS * INC # I3: 3 # I2: 7,9 => UNS * INC # I3: 3 # F3: 7,9 => UNS * INC # I3: 3 # F3: 1,4,8 => UNS * INC # I3: 3 # H7: 7,9 => UNS * INC # I3: 3 # H9: 7,9 => UNS * INC # I3: 3 => UNS * INC # I6: 3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H6,I6: 3..:
* INC # H6: 3 # H1: 7,9 => UNS * INC # H6: 3 # I2: 7,9 => UNS * INC # H6: 3 # F3: 7,9 => UNS * INC # H6: 3 # F3: 1,4,8 => UNS * INC # H6: 3 # H7: 7,9 => UNS * INC # H6: 3 # H9: 7,9 => UNS * INC # H6: 3 => UNS * INC # I6: 3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B9,D9: 3..:
* INC # B9: 3 => UNS * INC # D9: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,D8: 3..:
* INC # A8: 3 => UNS * INC # D8: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D8,D9: 3..:
* INC # D8: 3 => UNS * INC # D9: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,B9: 3..:
* INC # A8: 3 => UNS * INC # B9: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A7,C9: 8..:
* INC # A7: 8 # D1: 8,9 => UNS * INC # A7: 8 # E1: 8,9 => UNS * INC # A7: 8 # F1: 8,9 => UNS * INC # A7: 8 # G1: 8,9 => UNS * INC # A7: 8 # D2: 8,9 => UNS * INC # A7: 8 # G2: 8,9 => UNS * INC # A7: 8 # I2: 8,9 => UNS * INC # A7: 8 # A8: 5,7 => UNS * INC # A7: 8 # C8: 5,7 => UNS * INC # A7: 8 # B9: 5,7 => UNS * INC # A7: 8 # H9: 5,7 => UNS * INC # A7: 8 # H9: 2,6,9 => UNS * INC # A7: 8 # C5: 5,7 => UNS * INC # A7: 8 # C5: 1,4 => UNS * DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7 * INC # A7: 8 # D1: 8,9 + D2: 1,7 # G2: 8,9 => UNS * DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7 * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E3: 8,9 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F3: 8,9 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # D4: 8,9 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # D9: 8,9 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F1: 4,6 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F1: 7 => UNS * INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 4,6 => UNS * PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL * STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1 * CNT 25 HDP CHAINS / 27 HYP OPENED