Analysis of xx-ph-00013747-kz0-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75.....9...6.9....43.........59...8......2..4..85...6.....3.1.......1..2 initial
Autosolve
position: 98.7..6..75.....9...6.9....43.........59...8.8....2..4..85...6.....3.1.......1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000023
List of important HDP chains detected for F5,D6: 3..:
* DIS # F5: 3 # D2: 1,6 => CTR => D2: 2,3,4,8 * CNT 1 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for E5,F5: 4..:
* DIS # F5: 4 # B7: 7,9 => CTR => B7: 1,2,4 * 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: 0:00:54.987881
List of important HDP chains detected for I4,I5: 6..:
* DIS # I5: 6 # C4: 1,2 # D2: 6,8 => CTR => D2: 1,2,3,4 * DIS # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # B7: 4,9 => CTR => B7: 1,2 * PRF # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 # B8: 2 => SOL * STA # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 + B8: 2 * 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
| 98.7..6..75.....9...6.9....43.........59...8......2..4..85...6.....3.1.......1..2 | initial |
| 98.7..6..75.....9...6.9....43.........59...8.8....2..4..85...6.....3.1.......1..2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,B7: 1.. / A7 = 1 => 2 pairs (_) / B7 = 1 => 2 pairs (_) E7,D8: 2.. / E7 = 2 => 1 pairs (_) / D8 = 2 => 4 pairs (_) F5,D6: 3.. / F5 = 3 => 4 pairs (_) / D6 = 3 => 0 pairs (_) E5,F5: 4.. / E5 = 4 => 1 pairs (_) / F5 = 4 => 2 pairs (_) A8,A9: 5.. / A8 = 5 => 2 pairs (_) / A9 = 5 => 1 pairs (_) I4,I5: 6.. / I4 = 6 => 1 pairs (_) / I5 = 6 => 4 pairs (_) I8,G9: 8.. / I8 = 8 => 1 pairs (_) / G9 = 8 => 1 pairs (_) F7,F8: 9.. / F7 = 9 => 3 pairs (_) / F8 = 9 => 1 pairs (_) * DURATION: 0:00:06.877562 START: 18:06:40.987778 END: 18:06:47.865340 2020-12-02 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I4,I5: 6.. / I4 = 6 ==> 1 pairs (_) / I5 = 6 ==> 4 pairs (_) E7,D8: 2.. / E7 = 2 ==> 1 pairs (_) / D8 = 2 ==> 4 pairs (_) F5,D6: 3.. / F5 = 3 ==> 4 pairs (_) / D6 = 3 ==> 0 pairs (_) F7,F8: 9.. / F7 = 9 ==> 3 pairs (_) / F8 = 9 ==> 1 pairs (_) A7,B7: 1.. / A7 = 1 ==> 2 pairs (_) / B7 = 1 ==> 2 pairs (_) A8,A9: 5.. / A8 = 5 ==> 2 pairs (_) / A9 = 5 ==> 1 pairs (_) E5,F5: 4.. / E5 = 4 ==> 1 pairs (_) / F5 = 4 ==> 2 pairs (_) I8,G9: 8.. / I8 = 8 ==> 1 pairs (_) / G9 = 8 ==> 1 pairs (_) * DURATION: 0:01:30.574423 START: 18:06:47.866901 END: 18:08:18.441324 2020-12-02 * REASONING F5,D6: 3.. * DIS # F5: 3 # D2: 1,6 => CTR => D2: 2,3,4,8 * CNT 1 HDP CHAINS / 42 HYP OPENED * REASONING E5,F5: 4.. * DIS # F5: 4 # B7: 7,9 => CTR => B7: 1,2,4 * CNT 1 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I4,I5: 6.. / I4 = 6 => 0 pairs (X) / I5 = 6 ==> 0 pairs (*) * DURATION: 0:00:54.986467 START: 18:08:18.531351 END: 18:09:13.517818 2020-12-02 * REASONING I4,I5: 6.. * DIS # I5: 6 # C4: 1,2 # D2: 6,8 => CTR => D2: 1,2,3,4 * DIS # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # B7: 4,9 => CTR => B7: 1,2 * PRF # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 # B8: 2 => SOL * STA # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 + B8: 2 * CNT 3 HDP CHAINS / 44 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
13747;kz0;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,I5: 6..:
* INC # I5: 6 # C4: 1,2 => UNS * INC # I5: 6 # B5: 1,2 => UNS * INC # I5: 6 # A3: 1,2 => UNS * INC # I5: 6 # A7: 1,2 => UNS * INC # I5: 6 # H6: 1,3 => UNS * INC # I5: 6 # H6: 5,7 => UNS * INC # I5: 6 # D2: 1,3 => UNS * INC # I5: 6 # D3: 1,3 => UNS * INC # I5: 6 => UNS * INC # I4: 6 # E4: 1,8 => UNS * INC # I4: 6 # E4: 5,7 => UNS * INC # I4: 6 # D2: 1,8 => UNS * INC # I4: 6 # D3: 1,8 => UNS * INC # I4: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E7,D8: 2..:
* INC # D8: 2 # A3: 1,2 => UNS * INC # D8: 2 # A5: 1,2 => UNS * INC # D8: 2 # B3: 1,2 => UNS * INC # D8: 2 # B5: 1,2 => UNS * INC # D8: 2 # A9: 5,6 => UNS * INC # D8: 2 # A9: 3 => UNS * INC # D8: 2 # F7: 4,7 => UNS * INC # D8: 2 # F8: 4,7 => UNS * INC # D8: 2 # E9: 4,7 => UNS * INC # D8: 2 # G7: 4,7 => UNS * INC # D8: 2 # G7: 3,9 => UNS * INC # D8: 2 # E5: 4,7 => UNS * INC # D8: 2 # E5: 1,6 => UNS * INC # D8: 2 => UNS * INC # E7: 2 # A3: 1,3 => UNS * INC # E7: 2 # A3: 2 => UNS * INC # E7: 2 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for F5,D6: 3..:
* INC # F5: 3 # F3: 4,5 => UNS * INC # F5: 3 # F3: 8 => UNS * INC # F5: 3 # H1: 4,5 => UNS * INC # F5: 3 # H1: 1,2,3 => UNS * INC # F5: 3 # D4: 1,6 => UNS * INC # F5: 3 # E4: 1,6 => UNS * INC # F5: 3 # E6: 1,6 => UNS * INC # F5: 3 # B6: 1,6 => UNS * INC # F5: 3 # B6: 7,9 => UNS * DIS # F5: 3 # D2: 1,6 => CTR => D2: 2,3,4,8 * INC # F5: 3 + D2: 2,3,4,8 # D4: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # E4: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # E6: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B6: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B6: 7,9 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G4: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # H4: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B5: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B5: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G3: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G3: 3,4,5,8 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B7: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B7: 1,4,9 => UNS * INC # F5: 3 + D2: 2,3,4,8 # F3: 4,5 => UNS * INC # F5: 3 + D2: 2,3,4,8 # F3: 8 => UNS * INC # F5: 3 + D2: 2,3,4,8 # H1: 4,5 => UNS * INC # F5: 3 + D2: 2,3,4,8 # H1: 1,2,3 => UNS * INC # F5: 3 + D2: 2,3,4,8 # D4: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # E4: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # E6: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B6: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B6: 7,9 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G4: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # H4: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B5: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B5: 1,6 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G3: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # G3: 3,4,5,8 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B7: 2,7 => UNS * INC # F5: 3 + D2: 2,3,4,8 # B7: 1,4,9 => UNS * INC # F5: 3 + D2: 2,3,4,8 => UNS * INC # D6: 3 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for F7,F8: 9..:
* INC # F7: 9 # G7: 3,7 => UNS * INC # F7: 9 # H9: 3,7 => UNS * INC # F7: 9 # I3: 3,7 => UNS * INC # F7: 9 # I5: 3,7 => UNS * INC # F7: 9 => UNS * INC # F8: 9 # E7: 4,7 => UNS * INC # F8: 9 # E9: 4,7 => UNS * INC # F8: 9 # B7: 4,7 => UNS * INC # F8: 9 # G7: 4,7 => UNS * INC # F8: 9 # F5: 4,7 => UNS * INC # F8: 9 # F5: 3,6 => UNS * INC # F8: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A7,B7: 1..:
* INC # A7: 1 # C1: 2,3 => UNS * INC # A7: 1 # C2: 2,3 => UNS * INC # A7: 1 # D3: 2,3 => UNS * INC # A7: 1 # G3: 2,3 => UNS * INC # A7: 1 # H3: 2,3 => UNS * INC # A7: 1 # B5: 2,6 => UNS * INC # A7: 1 # B5: 1,7 => UNS * INC # A7: 1 # A8: 2,6 => UNS * INC # A7: 1 # A8: 5 => UNS * INC # A7: 1 => UNS * INC # B7: 1 # C1: 2,4 => UNS * INC # B7: 1 # C2: 2,4 => UNS * INC # B7: 1 # D3: 2,4 => UNS * INC # B7: 1 # G3: 2,4 => UNS * INC # B7: 1 # H3: 2,4 => UNS * INC # B7: 1 # B8: 2,4 => UNS * INC # B7: 1 # B8: 6,7,9 => UNS * INC # B7: 1 # A3: 2,3 => UNS * INC # B7: 1 # A3: 1 => UNS * INC # B7: 1 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for A8,A9: 5..:
* INC # A8: 5 # G7: 4,7 => UNS * INC # A8: 5 # G9: 4,7 => UNS * INC # A8: 5 # H9: 4,7 => UNS * INC # A8: 5 # B8: 4,7 => UNS * INC # A8: 5 # C8: 4,7 => UNS * INC # A8: 5 # F8: 4,7 => UNS * INC # A8: 5 # H3: 4,7 => UNS * INC # A8: 5 # H3: 1,2,3,5 => UNS * INC # A8: 5 => UNS * INC # A9: 5 # B8: 2,6 => UNS * INC # A9: 5 # B8: 4,7,9 => UNS * INC # A9: 5 # D8: 2,6 => UNS * INC # A9: 5 # D8: 4,8 => UNS * INC # A9: 5 # A5: 2,6 => UNS * INC # A9: 5 # A5: 1 => UNS * INC # A9: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for E5,F5: 4..:
* INC # F5: 4 # F3: 3,5 => UNS * INC # F5: 4 # F3: 8 => UNS * INC # F5: 4 # H1: 3,5 => UNS * INC # F5: 4 # I1: 3,5 => UNS * INC # F5: 4 # F8: 7,9 => UNS * INC # F5: 4 # F8: 6,8 => UNS * DIS # F5: 4 # B7: 7,9 => CTR => B7: 1,2,4 * INC # F5: 4 + B7: 1,2,4 # G7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # I7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # F8: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # F8: 6,8 => UNS * INC # F5: 4 + B7: 1,2,4 # G7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # I7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # F3: 3,5 => UNS * INC # F5: 4 + B7: 1,2,4 # F3: 8 => UNS * INC # F5: 4 + B7: 1,2,4 # H1: 3,5 => UNS * INC # F5: 4 + B7: 1,2,4 # I1: 3,5 => UNS * INC # F5: 4 + B7: 1,2,4 # F8: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # F8: 6,8 => UNS * INC # F5: 4 + B7: 1,2,4 # G7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 # I7: 7,9 => UNS * INC # F5: 4 + B7: 1,2,4 => UNS * INC # E5: 4 # B7: 2,7 => UNS * INC # E5: 4 # B7: 1,4,9 => UNS * INC # E5: 4 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for I8,G9: 8..:
* INC # I8: 8 # H1: 1,3 => UNS * INC # I8: 8 # I1: 1,3 => UNS * INC # I8: 8 # H3: 1,3 => UNS * INC # I8: 8 # I3: 1,3 => UNS * INC # I8: 8 # C2: 1,3 => UNS * INC # I8: 8 # D2: 1,3 => UNS * INC # I8: 8 # I5: 1,3 => UNS * INC # I8: 8 # I5: 6,7 => UNS * INC # I8: 8 => UNS * INC # G9: 8 # D8: 4,6 => UNS * INC # G9: 8 # F8: 4,6 => UNS * INC # G9: 8 # E9: 4,6 => UNS * INC # G9: 8 # B9: 4,6 => UNS * INC # G9: 8 # B9: 7,9 => UNS * INC # G9: 8 # D2: 4,6 => UNS * INC # G9: 8 # D2: 1,2,3,8 => UNS * INC # G9: 8 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,I5: 6..:
* INC # I5: 6 # C4: 1,2 => UNS * INC # I5: 6 # B5: 1,2 => UNS * INC # I5: 6 # A3: 1,2 => UNS * INC # I5: 6 # A7: 1,2 => UNS * INC # I5: 6 # H6: 1,3 => UNS * INC # I5: 6 # H6: 5,7 => UNS * INC # I5: 6 # D2: 1,3 => UNS * INC # I5: 6 # D3: 1,3 => UNS * INC # I5: 6 # C4: 1,2 # H4: 1,2 => UNS * INC # I5: 6 # C4: 1,2 # H4: 5,7 => UNS * INC # I5: 6 # C4: 1,2 # C1: 1,2 => UNS * INC # I5: 6 # C4: 1,2 # C2: 1,2 => UNS * INC # I5: 6 # C4: 1,2 # A3: 1,2 => UNS * INC # I5: 6 # C4: 1,2 # A7: 1,2 => UNS * INC # I5: 6 # C4: 1,2 # E4: 6,8 => UNS * INC # I5: 6 # C4: 1,2 # F4: 6,8 => UNS * DIS # I5: 6 # C4: 1,2 # D2: 6,8 => CTR => D2: 1,2,3,4 * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D8: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D9: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # E4: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # F4: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D8: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D9: 6,8 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # E1: 1,4 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # E2: 1,4 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # F1: 3,4 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # F2: 3,4 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # F3: 3,4 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # H6: 1,3 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # H6: 5,7 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D2: 1,3 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # D3: 1,3 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # E4: 5,7 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # F4: 5,7 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # G6: 5,7 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # H6: 5,7 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # G2: 2,3 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # G3: 2,3 => UNS * DIS # I5: 6 # C4: 1,2 + D2: 1,2,3,4 # B7: 4,9 => CTR => B7: 1,2 * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 # B8: 4,9 => UNS * INC # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 # B8: 4,9 => UNS * PRF # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 # B8: 2 => SOL * STA # I5: 6 # C4: 1,2 + D2: 1,2,3,4 + B7: 1,2 + B8: 2 * CNT 42 HDP CHAINS / 44 HYP OPENED