Analysis of xx-ph-00247977-12_12_03-base.sdk
Contents
Original Sudoku
level: very deep
position: ........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. initial
Autosolve
position: ........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A8,B8: 8..:
* DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:30.998581
List of important HDP chains detected for F1,F3: 8..:
* DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9 * DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6 * PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL * STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9 * CNT 10 HDP CHAINS / 42 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.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. | initial |
| ........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,E1: 3.. / D1 = 3 => 1 pairs (_) / E1 = 3 => 0 pairs (_) H5,H6: 3.. / H5 = 3 => 1 pairs (_) / H6 = 3 => 1 pairs (_) C6,H6: 3.. / C6 = 3 => 1 pairs (_) / H6 = 3 => 1 pairs (_) B3,B7: 3.. / B3 = 3 => 0 pairs (_) / B7 = 3 => 2 pairs (_) D1,D7: 3.. / D1 = 3 => 1 pairs (_) / D7 = 3 => 0 pairs (_) G1,G2: 4.. / G1 = 4 => 0 pairs (_) / G2 = 4 => 0 pairs (_) A1,A2: 6.. / A1 = 6 => 1 pairs (_) / A2 = 6 => 1 pairs (_) G9,I9: 6.. / G9 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) F1,F3: 8.. / F1 = 8 => 0 pairs (_) / F3 = 8 => 4 pairs (_) A8,B8: 8.. / A8 = 8 => 1 pairs (_) / B8 = 8 => 0 pairs (_) * DURATION: 0:00:06.565954 START: 09:23:35.346347 END: 09:23:41.912301 2020-10-01 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F1,F3: 8.. / F1 = 8 ==> 0 pairs (_) / F3 = 8 ==> 4 pairs (_) B3,B7: 3.. / B3 = 3 ==> 0 pairs (_) / B7 = 3 ==> 2 pairs (_) G9,I9: 6.. / G9 = 6 ==> 1 pairs (_) / I9 = 6 ==> 1 pairs (_) A1,A2: 6.. / A1 = 6 ==> 1 pairs (_) / A2 = 6 ==> 1 pairs (_) C6,H6: 3.. / C6 = 3 ==> 1 pairs (_) / H6 = 3 ==> 1 pairs (_) H5,H6: 3.. / H5 = 3 ==> 1 pairs (_) / H6 = 3 ==> 1 pairs (_) A8,B8: 8.. / A8 = 8 ==> 1 pairs (_) / B8 = 8 ==> 0 pairs (_) D1,D7: 3.. / D1 = 3 ==> 1 pairs (_) / D7 = 3 ==> 0 pairs (_) D1,E1: 3.. / D1 = 3 ==> 1 pairs (_) / E1 = 3 ==> 0 pairs (_) G1,G2: 4.. / G1 = 4 ==> 0 pairs (_) / G2 = 4 ==> 0 pairs (_) * DURATION: 0:00:57.470903 START: 09:23:41.912918 END: 09:24:39.383821 2020-10-01 * REASONING A8,B8: 8.. * DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * CNT 1 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F1,F3: 8.. / F1 = 8 => 0 pairs (X) / F3 = 8 ==> 0 pairs (*) * DURATION: 0:00:30.996055 START: 09:24:39.505496 END: 09:25:10.501551 2020-10-01 * REASONING F1,F3: 8.. * DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9 * DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6 * PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL * STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9 * CNT 10 HDP CHAINS / 42 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
247977;12_12_03;dob;22;11.50;11.50;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F1,F3: 8..:
* INC # F3: 8 # A1: 4,8 => UNS * INC # F3: 8 # B1: 4,8 => UNS * INC # F3: 8 # C1: 4,8 => UNS * INC # F3: 8 # A2: 4,8 => UNS * INC # F3: 8 # B2: 4,8 => UNS * INC # F3: 8 # C2: 4,8 => UNS * INC # F3: 8 # H1: 7,9 => UNS * INC # F3: 8 # H2: 7,9 => UNS * INC # F3: 8 # G3: 7,9 => UNS * INC # F3: 8 # I4: 7,9 => UNS * INC # F3: 8 # I7: 7,9 => UNS * INC # F3: 8 # G7: 1,7 => UNS * INC # F3: 8 # G7: 5,9 => UNS * INC # F3: 8 # D8: 1,7 => UNS * INC # F3: 8 # F8: 1,7 => UNS * INC # F3: 8 => UNS * INC # F1: 8 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for B3,B7: 3..:
* INC # B7: 3 # F1: 6,9 => UNS * INC # B7: 3 # D2: 6,9 => UNS * INC # B7: 3 # E2: 6,9 => UNS * INC # B7: 3 # A1: 6,9 => UNS * INC # B7: 3 # A1: 2,4,5,8 => UNS * INC # B7: 3 # E4: 6,9 => UNS * INC # B7: 3 # E4: 2,4 => UNS * INC # B7: 3 # A9: 2,5 => UNS * INC # B7: 3 # A9: 1 => UNS * INC # B7: 3 # C1: 2,5 => UNS * INC # B7: 3 # C1: 4,7,8 => UNS * INC # B7: 3 => UNS * INC # B3: 3 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G9,I9: 6..:
* INC # G9: 6 # G7: 5,9 => UNS * INC # G9: 6 # I7: 5,9 => UNS * INC # G9: 6 # F9: 5,9 => UNS * INC # G9: 6 # F9: 1 => UNS * INC # G9: 6 # I4: 5,9 => UNS * INC # G9: 6 # I4: 4,6,7,8 => UNS * INC # G9: 6 => UNS * INC # I9: 6 # I4: 4,9 => UNS * INC # I9: 6 # I5: 4,9 => UNS * INC # I9: 6 # F6: 4,9 => UNS * INC # I9: 6 # F6: 1,6 => UNS * INC # I9: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A1,A2: 6..:
* INC # A1: 6 # D1: 3,9 => UNS * INC # A1: 6 # D1: 7 => UNS * INC # A1: 6 # E7: 3,9 => UNS * INC # A1: 6 # E9: 3,9 => UNS * INC # A1: 6 => UNS * INC # A2: 6 # D2: 1,9 => UNS * INC # A2: 6 # F3: 1,9 => UNS * INC # A2: 6 # B2: 1,9 => UNS * INC # A2: 6 # B2: 4,8 => UNS * INC # A2: 6 # E7: 1,9 => UNS * INC # A2: 6 # E9: 1,9 => UNS * INC # A2: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C6,H6: 3..:
* INC # C6: 3 # A7: 2,5 => UNS * INC # C6: 3 # A9: 2,5 => UNS * INC # C6: 3 # C1: 2,5 => UNS * INC # C6: 3 # C1: 4,7,8 => UNS * INC # C6: 3 => UNS * INC # H6: 3 # A4: 2,4 => UNS * INC # H6: 3 # B4: 2,4 => UNS * INC # H6: 3 # A5: 2,4 => UNS * INC # H6: 3 # C5: 2,4 => UNS * INC # H6: 3 # C1: 2,4 => UNS * INC # H6: 3 # C1: 5,7,8 => UNS * INC # H6: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H5,H6: 3..:
* INC # H5: 3 # A7: 2,5 => UNS * INC # H5: 3 # A9: 2,5 => UNS * INC # H5: 3 # C1: 2,5 => UNS * INC # H5: 3 # C1: 4,7,8 => UNS * INC # H5: 3 => UNS * INC # H6: 3 # A4: 2,4 => UNS * INC # H6: 3 # B4: 2,4 => UNS * INC # H6: 3 # A5: 2,4 => UNS * INC # H6: 3 # C5: 2,4 => UNS * INC # H6: 3 # C1: 2,4 => UNS * INC # H6: 3 # C1: 5,7,8 => UNS * INC # H6: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A8,B8: 8..:
* INC # A8: 8 # A7: 1,4 => UNS * INC # A8: 8 # B7: 1,4 => UNS * INC # A8: 8 # E8: 1,4 => UNS * DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 => UNS * INC # B8: 8 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for D1,D7: 3..:
* INC # D1: 3 # F1: 6,9 => UNS * INC # D1: 3 # D2: 6,9 => UNS * INC # D1: 3 # E2: 6,9 => UNS * INC # D1: 3 # A1: 6,9 => UNS * INC # D1: 3 # A1: 2,4,5,8 => UNS * INC # D1: 3 # E4: 6,9 => UNS * INC # D1: 3 # E4: 2,4 => UNS * INC # D1: 3 => UNS * INC # D7: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D1,E1: 3..:
* INC # D1: 3 # F1: 6,9 => UNS * INC # D1: 3 # D2: 6,9 => UNS * INC # D1: 3 # E2: 6,9 => UNS * INC # D1: 3 # A1: 6,9 => UNS * INC # D1: 3 # A1: 2,4,5,8 => UNS * INC # D1: 3 # E4: 6,9 => UNS * INC # D1: 3 # E4: 2,4 => UNS * INC # D1: 3 => UNS * INC # E1: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for G1,G2: 4..:
* INC # G1: 4 => UNS * INC # G2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F1,F3: 8..:
* INC # F3: 8 # A1: 4,8 => UNS * INC # F3: 8 # B1: 4,8 => UNS * INC # F3: 8 # C1: 4,8 => UNS * INC # F3: 8 # A2: 4,8 => UNS * INC # F3: 8 # B2: 4,8 => UNS * INC # F3: 8 # C2: 4,8 => UNS * INC # F3: 8 # H1: 7,9 => UNS * INC # F3: 8 # H2: 7,9 => UNS * INC # F3: 8 # G3: 7,9 => UNS * INC # F3: 8 # I4: 7,9 => UNS * INC # F3: 8 # I7: 7,9 => UNS * INC # F3: 8 # G7: 1,7 => UNS * INC # F3: 8 # G7: 5,9 => UNS * INC # F3: 8 # D8: 1,7 => UNS * INC # F3: 8 # F8: 1,7 => UNS * DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9 * INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # C1: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # A2: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # B2: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # C2: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # H1: 7,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # H2: 7,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # G3: 7,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # I4: 7,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # I7: 7,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # G7: 1,7 => UNS * INC # F3: 8 + A1: 2,5,6,9 # G7: 5,9 => UNS * INC # F3: 8 + A1: 2,5,6,9 # D8: 1,7 => UNS * INC # F3: 8 + A1: 2,5,6,9 # F8: 1,7 => UNS * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2 * INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 4,8 => UNS * INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 4,8 => UNS * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2 * DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9 * DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6 * PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL * STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9 * CNT 41 HDP CHAINS / 42 HYP OPENED