Analysis of xx-ph-00000158-128-base.sdk
Contents
Original Sudoku
level: very deep
position: .2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. initial
Autosolve
position: .2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000026
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:45.322946
List of important HDP chains detected for G2,G9: 2..:
* DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1 * DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9 * PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL * STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8 * CNT 3 HDP CHAINS / 44 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...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. | initial |
| .2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,A5: 2.. / A4 = 2 => 0 pairs (_) / A5 = 2 => 1 pairs (_) H8,G9: 2.. / H8 = 2 => 5 pairs (_) / G9 = 2 => 0 pairs (_) G2,G9: 2.. / G2 = 2 => 5 pairs (_) / G9 = 2 => 0 pairs (_) D1,D3: 3.. / D1 = 3 => 1 pairs (_) / D3 = 3 => 1 pairs (_) A7,B7: 3.. / A7 = 3 => 0 pairs (_) / B7 = 3 => 2 pairs (_) D1,E1: 4.. / D1 = 4 => 2 pairs (_) / E1 = 4 => 1 pairs (_) A6,C6: 5.. / A6 = 5 => 0 pairs (_) / C6 = 5 => 2 pairs (_) C2,A3: 6.. / C2 = 6 => 4 pairs (_) / A3 = 6 => 0 pairs (_) E4,E5: 6.. / E4 = 6 => 0 pairs (_) / E5 = 6 => 0 pairs (_) G1,H1: 8.. / G1 = 8 => 3 pairs (_) / H1 = 8 => 1 pairs (_) * DURATION: 0:00:06.846200 START: 22:12:20.305457 END: 22:12:27.151657 2020-09-28 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G2,G9: 2.. / G2 = 2 ==> 5 pairs (_) / G9 = 2 ==> 0 pairs (_) H8,G9: 2.. / H8 = 2 ==> 5 pairs (_) / G9 = 2 ==> 0 pairs (_) C2,A3: 6.. / C2 = 6 ==> 4 pairs (_) / A3 = 6 ==> 0 pairs (_) G1,H1: 8.. / G1 = 8 ==> 3 pairs (_) / H1 = 8 ==> 1 pairs (_) D1,E1: 4.. / D1 = 4 ==> 2 pairs (_) / E1 = 4 ==> 1 pairs (_) A6,C6: 5.. / A6 = 5 ==> 0 pairs (_) / C6 = 5 ==> 2 pairs (_) A7,B7: 3.. / A7 = 3 ==> 0 pairs (_) / B7 = 3 ==> 2 pairs (_) D1,D3: 3.. / D1 = 3 ==> 1 pairs (_) / D3 = 3 ==> 1 pairs (_) A4,A5: 2.. / A4 = 2 ==> 0 pairs (_) / A5 = 2 ==> 1 pairs (_) E4,E5: 6.. / E4 = 6 ==> 0 pairs (_) / E5 = 6 ==> 0 pairs (_) * DURATION: 0:01:22.384524 START: 22:12:27.152772 END: 22:13:49.537296 2020-09-28 * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) G2,G9: 2.. / G2 = 2 ==> 0 pairs (*) / G9 = 2 => 0 pairs (X) * DURATION: 0:00:45.319421 START: 22:13:49.642689 END: 22:14:34.962110 2020-09-28 * REASONING G2,G9: 2.. * DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1 * DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9 * PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL * STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8 * CNT 3 HDP CHAINS / 44 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
158;128;elev;23;11.50;11.50;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G2,G9: 2..:
* INC # G2: 2 # A3: 6,7 => UNS * INC # G2: 2 # A3: 1,3,5,9 => UNS * INC # G2: 2 # E3: 5,9 => UNS * INC # G2: 2 # F3: 5,9 => UNS * INC # G2: 2 # B2: 5,9 => UNS * INC # G2: 2 # B2: 3 => UNS * INC # G2: 2 # F7: 5,9 => UNS * INC # G2: 2 # F7: 1,4,8 => UNS * INC # G2: 2 # H3: 6,7 => UNS * INC # G2: 2 # H3: 1 => UNS * INC # G2: 2 # G1: 3,5 => UNS * INC # G2: 2 # I3: 3,5 => UNS * INC # G2: 2 # B2: 3,5 => UNS * INC # G2: 2 # B2: 9 => UNS * INC # G2: 2 # F7: 4,8 => UNS * INC # G2: 2 # F8: 4,8 => UNS * INC # G2: 2 # D9: 4,8 => UNS * INC # G2: 2 # I8: 4,8 => UNS * INC # G2: 2 # I8: 1,5,6 => UNS * INC # G2: 2 # D4: 4,8 => UNS * INC # G2: 2 # D6: 4,8 => UNS * INC # G2: 2 => UNS * INC # G9: 2 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for H8,G9: 2..:
* INC # H8: 2 # A3: 6,7 => UNS * INC # H8: 2 # A3: 1,3,5,9 => UNS * INC # H8: 2 # E3: 5,9 => UNS * INC # H8: 2 # F3: 5,9 => UNS * INC # H8: 2 # B2: 5,9 => UNS * INC # H8: 2 # B2: 3 => UNS * INC # H8: 2 # F7: 5,9 => UNS * INC # H8: 2 # F7: 1,4,8 => UNS * INC # H8: 2 # H3: 6,7 => UNS * INC # H8: 2 # H3: 1 => UNS * INC # H8: 2 # G1: 3,5 => UNS * INC # H8: 2 # I3: 3,5 => UNS * INC # H8: 2 # B2: 3,5 => UNS * INC # H8: 2 # B2: 9 => UNS * INC # H8: 2 # F7: 4,8 => UNS * INC # H8: 2 # F8: 4,8 => UNS * INC # H8: 2 # D9: 4,8 => UNS * INC # H8: 2 # I8: 4,8 => UNS * INC # H8: 2 # I8: 1,5,6 => UNS * INC # H8: 2 # D4: 4,8 => UNS * INC # H8: 2 # D6: 4,8 => UNS * INC # H8: 2 => UNS * INC # G9: 2 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for C2,A3: 6..:
* INC # C2: 6 # G1: 1,8 => UNS * INC # C2: 6 # G1: 3,5 => UNS * INC # C2: 6 # H6: 1,8 => UNS * INC # C2: 6 # H7: 1,8 => UNS * INC # C2: 6 # H8: 1,8 => UNS * INC # C2: 6 # G2: 2,7 => UNS * INC # C2: 6 # G2: 3,5 => UNS * INC # C2: 6 # G1: 3,5 => UNS * INC # C2: 6 # G2: 3,5 => UNS * INC # C2: 6 # I3: 3,5 => UNS * INC # C2: 6 # B2: 3,5 => UNS * INC # C2: 6 # B2: 9 => UNS * INC # C2: 6 # B7: 4,5 => UNS * INC # C2: 6 # B9: 4,5 => UNS * INC # C2: 6 # C9: 4,5 => UNS * INC # C2: 6 # F8: 4,5 => UNS * INC # C2: 6 # I8: 4,5 => UNS * INC # C2: 6 # C6: 4,5 => UNS * INC # C2: 6 # C6: 7,9 => UNS * INC # C2: 6 => UNS * INC # A3: 6 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for G1,H1: 8..:
* INC # G1: 8 # H3: 1,7 => UNS * INC # G1: 8 # H3: 2,6 => UNS * INC # G1: 8 # A1: 1,7 => UNS * INC # G1: 8 # A1: 3,5 => UNS * INC # G1: 8 # H6: 1,7 => UNS * INC # G1: 8 # H6: 4,8 => UNS * INC # G1: 8 # G4: 1,7 => UNS * INC # G1: 8 # H6: 1,7 => UNS * INC # G1: 8 # E6: 1,7 => UNS * INC # G1: 8 # E6: 4,9 => UNS * INC # G1: 8 # I8: 1,5 => UNS * INC # G1: 8 # G9: 1,5 => UNS * INC # G1: 8 # I9: 1,5 => UNS * INC # G1: 8 # A7: 1,5 => UNS * INC # G1: 8 # B7: 1,5 => UNS * INC # G1: 8 # E7: 1,5 => UNS * INC # G1: 8 # F7: 1,5 => UNS * INC # G1: 8 => UNS * INC # H1: 8 # H8: 1,4 => UNS * INC # H1: 8 # I8: 1,4 => UNS * INC # H1: 8 # I9: 1,4 => UNS * INC # H1: 8 # B7: 1,4 => UNS * INC # H1: 8 # E7: 1,4 => UNS * INC # H1: 8 # F7: 1,4 => UNS * INC # H1: 8 # H6: 1,4 => UNS * INC # H1: 8 # H6: 7 => UNS * INC # H1: 8 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for D1,E1: 4..:
* INC # D1: 4 # E3: 5,7 => UNS * INC # D1: 4 # E3: 2,9 => UNS * INC # D1: 4 # A1: 5,7 => UNS * INC # D1: 4 # C1: 5,7 => UNS * INC # D1: 4 # G1: 5,7 => UNS * INC # D1: 4 # F8: 2,8 => UNS * INC # D1: 4 # D9: 2,8 => UNS * INC # D1: 4 # H8: 2,8 => UNS * INC # D1: 4 # H8: 1,4,6 => UNS * INC # D1: 4 # D4: 2,8 => UNS * INC # D1: 4 # D4: 7,9 => UNS * INC # D1: 4 => UNS * INC # E1: 4 # D3: 3,7 => UNS * INC # E1: 4 # D3: 2,9 => UNS * INC # E1: 4 # A1: 3,7 => UNS * INC # E1: 4 # C1: 3,7 => UNS * INC # E1: 4 # G1: 3,7 => UNS * INC # E1: 4 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A6,C6: 5..:
* INC # C6: 5 # A1: 3,7 => UNS * INC # C6: 5 # C2: 3,7 => UNS * INC # C6: 5 # A3: 3,7 => UNS * INC # C6: 5 # D1: 3,7 => UNS * INC # C6: 5 # G1: 3,7 => UNS * INC # C6: 5 # C4: 3,7 => UNS * INC # C6: 5 # C4: 4,9 => UNS * INC # C6: 5 # C9: 4,6 => UNS * INC # C6: 5 # C9: 9 => UNS * INC # C6: 5 # H8: 4,6 => UNS * INC # C6: 5 # I8: 4,6 => UNS * INC # C6: 5 => UNS * INC # A6: 5 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,B7: 3..:
* INC # B7: 3 # C2: 5,9 => UNS * INC # B7: 3 # A3: 5,9 => UNS * INC # B7: 3 # B3: 5,9 => UNS * INC # B7: 3 # F2: 5,9 => UNS * INC # B7: 3 # F2: 2 => UNS * INC # B7: 3 # B9: 5,9 => UNS * INC # B7: 3 # B9: 1,4,8 => UNS * INC # B7: 3 # B4: 4,8 => UNS * INC # B7: 3 # B4: 9 => UNS * INC # B7: 3 # F5: 4,8 => UNS * INC # B7: 3 # I5: 4,8 => UNS * INC # B7: 3 # B9: 4,8 => UNS * INC # B7: 3 # B9: 1,5,9 => UNS * INC # B7: 3 => UNS * INC # A7: 3 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D1,D3: 3..:
* INC # D1: 3 # A1: 5,7 => UNS * INC # D1: 3 # C2: 5,7 => UNS * INC # D1: 3 # G1: 5,7 => UNS * INC # D1: 3 # G1: 1,8 => UNS * INC # D1: 3 # C6: 5,7 => UNS * INC # D1: 3 # C6: 4,9 => UNS * INC # D1: 3 => UNS * INC # D3: 3 # E1: 4,7 => UNS * INC # D3: 3 # E1: 5 => UNS * INC # D3: 3 # D4: 4,7 => UNS * INC # D3: 3 # D6: 4,7 => UNS * INC # D3: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A4,A5: 2..:
* INC # A5: 2 # D4: 4,8 => UNS * INC # A5: 2 # F4: 4,8 => UNS * INC # A5: 2 # D6: 4,8 => UNS * INC # A5: 2 # B5: 4,8 => UNS * INC # A5: 2 # I5: 4,8 => UNS * INC # A5: 2 # F7: 4,8 => UNS * INC # A5: 2 # F8: 4,8 => UNS * INC # A5: 2 => UNS * INC # A4: 2 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E4,E5: 6..:
* INC # E4: 6 => UNS * INC # E5: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for G2,G9: 2..:
* INC # G2: 2 # A3: 6,7 => UNS * INC # G2: 2 # A3: 1,3,5,9 => UNS * INC # G2: 2 # E3: 5,9 => UNS * INC # G2: 2 # F3: 5,9 => UNS * INC # G2: 2 # B2: 5,9 => UNS * INC # G2: 2 # B2: 3 => UNS * INC # G2: 2 # F7: 5,9 => UNS * INC # G2: 2 # F7: 1,4,8 => UNS * INC # G2: 2 # H3: 6,7 => UNS * INC # G2: 2 # H3: 1 => UNS * INC # G2: 2 # G1: 3,5 => UNS * INC # G2: 2 # I3: 3,5 => UNS * INC # G2: 2 # B2: 3,5 => UNS * INC # G2: 2 # B2: 9 => UNS * INC # G2: 2 # F7: 4,8 => UNS * INC # G2: 2 # F8: 4,8 => UNS * INC # G2: 2 # D9: 4,8 => UNS * INC # G2: 2 # I8: 4,8 => UNS * INC # G2: 2 # I8: 1,5,6 => UNS * INC # G2: 2 # D4: 4,8 => UNS * INC # G2: 2 # D6: 4,8 => UNS * DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1 * INC # G2: 2 # A3: 6,7 + A1: 1 # B2: 3,5 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # B3: 3,5 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # G1: 3,5 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # G1: 7,8 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # H3: 6,7 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # H3: 1 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # E3: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # F3: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 # B2: 5,9 => UNS * DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9 * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 1,4,8 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # E3: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F3: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 5,9 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 1,4,8 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # H3: 6,7 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # H3: 1 => UNS * INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 4,8 => UNS * PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL * STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8 * CNT 42 HDP CHAINS / 44 HYP OPENED