Analysis of xx-ph-00012269-kz0-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....7...9.6....6..5...8...4..3..2......1..96..8....89..5......1..2......3..4 initial
Autosolve
position: 98.7.....7...9.6....6..5...8...4..3..2......1..96..8....89..5......1..2......3..4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B8,B9: 9..:
* DIS # B9: 9 # H9: 1,7 => CTR => H9: 6,8 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for I8,H9: 8..:
* DIS # I8: 8 # B8: 4,5 => CTR => B8: 3,6,7,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for A5,H5: 6..:
* DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for B4,I4: 6..:
* DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for I4,H5: 6..:
* DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for B4,A5: 6..:
* DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for E1,F1: 6..:
* DIS # F1: 6 # C1: 2,3 => CTR => C1: 1,4,5 * CNT 1 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:21.852606
List of important HDP chains detected for F4,F5: 9..:
* PRF # F4: 9 # E5: 7,8 # I4: 2,7 => SOL * STA # F4: 9 # E5: 7,8 + I4: 2,7 * CNT 1 HDP CHAINS / 23 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.....7...9.6....6..5...8...4..3..2......1..96..8....89..5......1..2......3..4 | initial |
| 98.7.....7...9.6....6..5...8...4..3..2......1..96..8....89..5......1..2......3..4 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,F1: 6.. / E1 = 6 => 1 pairs (_) / F1 = 6 => 1 pairs (_) B4,A5: 6.. / B4 = 6 => 1 pairs (_) / A5 = 6 => 1 pairs (_) I4,H5: 6.. / I4 = 6 => 1 pairs (_) / H5 = 6 => 1 pairs (_) B4,I4: 6.. / B4 = 6 => 1 pairs (_) / I4 = 6 => 1 pairs (_) A5,H5: 6.. / A5 = 6 => 1 pairs (_) / H5 = 6 => 1 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 1 pairs (_) F4,F5: 9.. / F4 = 9 => 2 pairs (_) / F5 = 9 => 1 pairs (_) B8,B9: 9.. / B8 = 9 => 1 pairs (_) / B9 = 9 => 1 pairs (_) * DURATION: 0:00:04.632950 START: 07:27:09.108964 END: 07:27:13.741914 2020-12-02 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F4,F5: 9.. / F4 = 9 ==> 2 pairs (_) / F5 = 9 ==> 1 pairs (_) B8,B9: 9.. / B8 = 9 ==> 1 pairs (_) / B9 = 9 ==> 2 pairs (_) I8,H9: 8.. / I8 = 8 ==> 1 pairs (_) / H9 = 8 ==> 1 pairs (_) A5,H5: 6.. / A5 = 6 ==> 1 pairs (_) / H5 = 6 ==> 2 pairs (_) B4,I4: 6.. / B4 = 6 ==> 2 pairs (_) / I4 = 6 ==> 1 pairs (_) I4,H5: 6.. / I4 = 6 ==> 1 pairs (_) / H5 = 6 ==> 2 pairs (_) B4,A5: 6.. / B4 = 6 ==> 2 pairs (_) / A5 = 6 ==> 1 pairs (_) E1,F1: 6.. / E1 = 6 ==> 1 pairs (_) / F1 = 6 ==> 1 pairs (_) * DURATION: 0:01:18.731117 START: 07:27:13.742522 END: 07:28:32.473639 2020-12-02 * REASONING B8,B9: 9.. * DIS # B9: 9 # H9: 1,7 => CTR => H9: 6,8 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING I8,H9: 8.. * DIS # I8: 8 # B8: 4,5 => CTR => B8: 3,6,7,9 * CNT 1 HDP CHAINS / 15 HYP OPENED * REASONING A5,H5: 6.. * DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING B4,I4: 6.. * DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING I4,H5: 6.. * DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING B4,A5: 6.. * DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING E1,F1: 6.. * DIS # F1: 6 # C1: 2,3 => CTR => C1: 1,4,5 * CNT 1 HDP CHAINS / 28 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F4,F5: 9.. / F4 = 9 ==> 0 pairs (*) / F5 = 9 => 0 pairs (X) * DURATION: 0:00:21.850787 START: 07:28:32.595709 END: 07:28:54.446496 2020-12-02 * REASONING F4,F5: 9.. * PRF # F4: 9 # E5: 7,8 # I4: 2,7 => SOL * STA # F4: 9 # E5: 7,8 + I4: 2,7 * CNT 1 HDP CHAINS / 23 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
12269;kz0;GP;23;11.30;11.30;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F4,F5: 9..:
* INC # F4: 9 # E5: 7,8 => UNS * INC # F4: 9 # E5: 3,5 => UNS * INC # F4: 9 # F8: 7,8 => UNS * INC # F4: 9 # F8: 4,6 => UNS * INC # F4: 9 # I4: 2,7 => UNS * INC # F4: 9 # I6: 2,7 => UNS * INC # F4: 9 # G3: 2,7 => UNS * INC # F4: 9 # G3: 1,3,4,9 => UNS * INC # F4: 9 => UNS * INC # F5: 9 # H5: 4,7 => UNS * INC # F5: 9 # H6: 4,7 => UNS * INC # F5: 9 # C5: 4,7 => UNS * INC # F5: 9 # C5: 3,5 => UNS * INC # F5: 9 # G3: 4,7 => UNS * INC # F5: 9 # G3: 1,2,3,9 => UNS * INC # F5: 9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B8,B9: 9..:
* INC # B8: 9 # I7: 3,7 => UNS * INC # B8: 9 # I8: 3,7 => UNS * INC # B8: 9 # C8: 3,7 => UNS * INC # B8: 9 # C8: 4,5 => UNS * INC # B8: 9 # G3: 3,7 => UNS * INC # B8: 9 # G3: 1,2,4,9 => UNS * INC # B8: 9 => UNS * INC # B9: 9 # H7: 1,7 => UNS * DIS # B9: 9 # H9: 1,7 => CTR => H9: 6,8 * INC # B9: 9 + H9: 6,8 # H7: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # H7: 6 => UNS * INC # B9: 9 + H9: 6,8 # C9: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # C9: 2,5 => UNS * INC # B9: 9 + H9: 6,8 # G3: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # G3: 2,3,4,9 => UNS * INC # B9: 9 + H9: 6,8 # H7: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # H7: 6 => UNS * INC # B9: 9 + H9: 6,8 # C9: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # C9: 2,5 => UNS * INC # B9: 9 + H9: 6,8 # G3: 1,7 => UNS * INC # B9: 9 + H9: 6,8 # G3: 2,3,4,9 => UNS * INC # B9: 9 + H9: 6,8 # I8: 6,8 => UNS * INC # B9: 9 + H9: 6,8 # I8: 3,7,9 => UNS * INC # B9: 9 + H9: 6,8 # E9: 6,8 => UNS * INC # B9: 9 + H9: 6,8 # E9: 2,5,7 => UNS * INC # B9: 9 + H9: 6,8 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 # A8: 4,5 => UNS * DIS # I8: 8 # B8: 4,5 => CTR => B8: 3,6,7,9 * INC # I8: 8 + B8: 3,6,7,9 # C8: 4,5 => UNS * INC # I8: 8 + B8: 3,6,7,9 # A8: 4,5 => UNS * INC # I8: 8 + B8: 3,6,7,9 # C8: 4,5 => UNS * INC # I8: 8 + B8: 3,6,7,9 # A8: 4,5 => UNS * INC # I8: 8 + B8: 3,6,7,9 # C8: 4,5 => UNS * INC # I8: 8 + B8: 3,6,7,9 => UNS * INC # H9: 8 # E9: 2,5 => UNS * INC # H9: 8 # E9: 6,7 => UNS * INC # H9: 8 # A9: 2,5 => UNS * INC # H9: 8 # C9: 2,5 => UNS * INC # H9: 8 # D4: 2,5 => UNS * INC # H9: 8 # D4: 1 => UNS * INC # H9: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A5,H5: 6..:
* INC # A5: 6 # G8: 3,7 => UNS * INC # A5: 6 # I8: 3,7 => UNS * INC # A5: 6 # B7: 3,7 => UNS * INC # A5: 6 # B7: 1,4,6 => UNS * INC # A5: 6 # I3: 3,7 => UNS * INC # A5: 6 # I3: 2,8,9 => UNS * INC # A5: 6 => UNS * INC # H5: 6 # G9: 1,7 => UNS * DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * INC # H5: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # G9: 9 => UNS * INC # H5: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # H5: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # G9: 9 => UNS * INC # H5: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # H5: 6 + H9: 8,9 # I8: 8,9 => UNS * INC # H5: 6 + H9: 8,9 # I8: 3,6,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 8,9 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,4,7 => UNS * INC # H5: 6 + H9: 8,9 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for B4,I4: 6..:
* INC # B4: 6 # G9: 1,7 => UNS * DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * INC # B4: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # G9: 9 => UNS * INC # B4: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # B4: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # G9: 9 => UNS * INC # B4: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # B4: 6 + H9: 8,9 # I8: 8,9 => UNS * INC # B4: 6 + H9: 8,9 # I8: 3,6,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 8,9 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,4,7 => UNS * INC # B4: 6 + H9: 8,9 => UNS * INC # I4: 6 # G8: 3,7 => UNS * INC # I4: 6 # I8: 3,7 => UNS * INC # I4: 6 # B7: 3,7 => UNS * INC # I4: 6 # B7: 1,4,6 => UNS * INC # I4: 6 # I3: 3,7 => UNS * INC # I4: 6 # I3: 2,8,9 => UNS * INC # I4: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for I4,H5: 6..:
* INC # I4: 6 # G8: 3,7 => UNS * INC # I4: 6 # I8: 3,7 => UNS * INC # I4: 6 # B7: 3,7 => UNS * INC # I4: 6 # B7: 1,4,6 => UNS * INC # I4: 6 # I3: 3,7 => UNS * INC # I4: 6 # I3: 2,8,9 => UNS * INC # I4: 6 => UNS * INC # H5: 6 # G9: 1,7 => UNS * DIS # H5: 6 # H9: 1,7 => CTR => H9: 8,9 * INC # H5: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # G9: 9 => UNS * INC # H5: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # H5: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # G9: 9 => UNS * INC # H5: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # H5: 6 + H9: 8,9 # I8: 8,9 => UNS * INC # H5: 6 + H9: 8,9 # I8: 3,6,7 => UNS * INC # H5: 6 + H9: 8,9 # H3: 8,9 => UNS * INC # H5: 6 + H9: 8,9 # H3: 1,4,7 => UNS * INC # H5: 6 + H9: 8,9 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for B4,A5: 6..:
* INC # B4: 6 # G9: 1,7 => UNS * DIS # B4: 6 # H9: 1,7 => CTR => H9: 8,9 * INC # B4: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # G9: 9 => UNS * INC # B4: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # B4: 6 + H9: 8,9 # G9: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # G9: 9 => UNS * INC # B4: 6 + H9: 8,9 # B7: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # B7: 3,4 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 4,8,9 => UNS * INC # B4: 6 + H9: 8,9 # I8: 8,9 => UNS * INC # B4: 6 + H9: 8,9 # I8: 3,6,7 => UNS * INC # B4: 6 + H9: 8,9 # H3: 8,9 => UNS * INC # B4: 6 + H9: 8,9 # H3: 1,4,7 => UNS * INC # B4: 6 + H9: 8,9 => UNS * INC # A5: 6 # G8: 3,7 => UNS * INC # A5: 6 # I8: 3,7 => UNS * INC # A5: 6 # B7: 3,7 => UNS * INC # A5: 6 # B7: 1,4,6 => UNS * INC # A5: 6 # I3: 3,7 => UNS * INC # A5: 6 # I3: 2,8,9 => UNS * INC # A5: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for E1,F1: 6..:
* INC # E1: 6 # F7: 2,7 => UNS * INC # E1: 6 # E9: 2,7 => UNS * INC # E1: 6 # E6: 2,7 => UNS * INC # E1: 6 # E6: 3,5 => UNS * INC # E1: 6 => UNS * INC # F1: 6 # D2: 2,3 => UNS * INC # F1: 6 # D3: 2,3 => UNS * INC # F1: 6 # E3: 2,3 => UNS * DIS # F1: 6 # C1: 2,3 => CTR => C1: 1,4,5 * INC # F1: 6 + C1: 1,4,5 # G1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # I1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 5,7 => UNS * INC # F1: 6 + C1: 1,4,5 # D2: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # D3: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E3: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # G1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # I1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 5,7 => UNS * INC # F1: 6 + C1: 1,4,5 # D2: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # D3: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E3: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # G1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # I1: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 2,3 => UNS * INC # F1: 6 + C1: 1,4,5 # E6: 5,7 => UNS * INC # F1: 6 + C1: 1,4,5 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F4,F5: 9..:
* INC # F4: 9 # E5: 7,8 => UNS * INC # F4: 9 # E5: 3,5 => UNS * INC # F4: 9 # F8: 7,8 => UNS * INC # F4: 9 # F8: 4,6 => UNS * INC # F4: 9 # I4: 2,7 => UNS * INC # F4: 9 # I6: 2,7 => UNS * INC # F4: 9 # G3: 2,7 => UNS * INC # F4: 9 # G3: 1,3,4,9 => UNS * INC # F4: 9 # E5: 7,8 # E6: 3,5 => UNS * INC # F4: 9 # E5: 7,8 # E6: 2 => UNS * INC # F4: 9 # E5: 7,8 # A5: 3,5 => UNS * INC # F4: 9 # E5: 7,8 # C5: 3,5 => UNS * INC # F4: 9 # E5: 7,8 # E9: 7,8 => UNS * INC # F4: 9 # E5: 7,8 # E9: 2,5,6 => UNS * INC # F4: 9 # E5: 7,8 # F8: 7,8 => UNS * INC # F4: 9 # E5: 7,8 # F8: 4,6 => UNS * INC # F4: 9 # E5: 7,8 # D4: 1,2 => UNS * INC # F4: 9 # E5: 7,8 # D4: 5 => UNS * INC # F4: 9 # E5: 7,8 # F1: 1,2 => UNS * INC # F4: 9 # E5: 7,8 # F2: 1,2 => UNS * PRF # F4: 9 # E5: 7,8 # I4: 2,7 => SOL * STA # F4: 9 # E5: 7,8 + I4: 2,7 * CNT 21 HDP CHAINS / 23 HYP OPENED