Analysis of xx-ph-00011699-kz0-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....6...8.7....7..5...4......3...86..5......32..4.1......2..68..9.......1.6. initial
Autosolve
position: 98.7.....6...8.7....7..5...4....8.3...86..5......32..4.1......2..68..9.......1.6. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:24.138495
List of important HDP chains detected for E5,F5: 4..:
* DIS # F5: 4 # G1: 3,6 # D2: 3,9 => CTR => D2: 1,2,4 * DIS # F5: 4 # G1: 3,6 + D2: 1,2,4 # D3: 3,9 => CTR => D3: 1,2,4 * PRF # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 # I2: 3,9 => SOL * STA # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 + I2: 3,9 * CNT 3 HDP CHAINS / 22 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...8.7....7..5...4......3...86..5......32..4.1......2..68..9.......1.6. | initial |
| 98.7.....6...8.7....7..5...4....8.3...86..5......32..4.1......2..68..9.......1.6. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H8,I8: 1.. / H8 = 1 => 0 pairs (_) / I8 = 1 => 1 pairs (_) G4,H5: 2.. / G4 = 2 => 2 pairs (_) / H5 = 2 => 1 pairs (_) A5,B5: 3.. / A5 = 3 => 1 pairs (_) / B5 = 3 => 1 pairs (_) E5,F5: 4.. / E5 = 4 => 1 pairs (_) / F5 = 4 => 3 pairs (_) B4,B6: 6.. / B4 = 6 => 1 pairs (_) / B6 = 6 => 1 pairs (_) E7,F7: 6.. / E7 = 6 => 0 pairs (_) / F7 = 6 => 1 pairs (_) B6,G6: 6.. / B6 = 6 => 1 pairs (_) / G6 = 6 => 1 pairs (_) F1,F7: 6.. / F1 = 6 => 0 pairs (_) / F7 = 6 => 1 pairs (_) G6,H6: 8.. / G6 = 8 => 2 pairs (_) / H6 = 8 => 1 pairs (_) A7,A9: 8.. / A7 = 8 => 1 pairs (_) / A9 = 8 => 1 pairs (_) I3,I9: 8.. / I3 = 8 => 0 pairs (_) / I9 = 8 => 3 pairs (_) * DURATION: 0:00:07.078962 START: 22:43:00.127152 END: 22:43:07.206114 2020-12-01 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E5,F5: 4.. / E5 = 4 ==> 1 pairs (_) / F5 = 4 ==> 3 pairs (_) I3,I9: 8.. / I3 = 8 ==> 0 pairs (_) / I9 = 8 ==> 3 pairs (_) G6,H6: 8.. / G6 = 8 ==> 2 pairs (_) / H6 = 8 ==> 1 pairs (_) G4,H5: 2.. / G4 = 2 ==> 2 pairs (_) / H5 = 2 ==> 1 pairs (_) A7,A9: 8.. / A7 = 8 ==> 1 pairs (_) / A9 = 8 ==> 1 pairs (_) B6,G6: 6.. / B6 = 6 ==> 1 pairs (_) / G6 = 6 ==> 1 pairs (_) B4,B6: 6.. / B4 = 6 ==> 1 pairs (_) / B6 = 6 ==> 1 pairs (_) A5,B5: 3.. / A5 = 3 ==> 1 pairs (_) / B5 = 3 ==> 1 pairs (_) F1,F7: 6.. / F1 = 6 ==> 0 pairs (_) / F7 = 6 ==> 1 pairs (_) E7,F7: 6.. / E7 = 6 ==> 0 pairs (_) / F7 = 6 ==> 1 pairs (_) H8,I8: 1.. / H8 = 1 ==> 0 pairs (_) / I8 = 1 ==> 1 pairs (_) * DURATION: 0:01:08.423516 START: 22:43:07.206667 END: 22:44:15.630183 2020-12-01 * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) E5,F5: 4.. / E5 = 4 => 0 pairs (X) / F5 = 4 ==> 0 pairs (*) * DURATION: 0:00:24.137260 START: 22:44:15.754905 END: 22:44:39.892165 2020-12-01 * REASONING E5,F5: 4.. * DIS # F5: 4 # G1: 3,6 # D2: 3,9 => CTR => D2: 1,2,4 * DIS # F5: 4 # G1: 3,6 + D2: 1,2,4 # D3: 3,9 => CTR => D3: 1,2,4 * PRF # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 # I2: 3,9 => SOL * STA # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 + I2: 3,9 * CNT 3 HDP CHAINS / 22 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
11699;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 E5,F5: 4..:
* INC # F5: 4 # G1: 3,6 => UNS * INC # F5: 4 # I1: 3,6 => UNS * INC # F5: 4 # F7: 3,6 => UNS * INC # F5: 4 # F7: 7,9 => UNS * INC # F5: 4 # D2: 3,9 => UNS * INC # F5: 4 # D3: 3,9 => UNS * INC # F5: 4 # I2: 3,9 => UNS * INC # F5: 4 # I2: 1,5 => UNS * INC # F5: 4 # F7: 3,9 => UNS * INC # F5: 4 # F7: 6,7 => UNS * INC # F5: 4 # F7: 3,7 => UNS * INC # F5: 4 # F7: 6,9 => UNS * INC # F5: 4 # A8: 3,7 => UNS * INC # F5: 4 # B8: 3,7 => UNS * INC # F5: 4 # I8: 3,7 => UNS * INC # F5: 4 => UNS * INC # E5: 4 # E4: 7,9 => UNS * INC # E5: 4 # E4: 1,5 => UNS * INC # E5: 4 # B5: 7,9 => UNS * INC # E5: 4 # H5: 7,9 => UNS * INC # E5: 4 # I5: 7,9 => UNS * INC # E5: 4 # F7: 7,9 => UNS * INC # E5: 4 # F7: 3,4,6 => UNS * INC # E5: 4 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for I3,I9: 8..:
* INC # I9: 8 # C7: 3,4 => UNS * INC # I9: 8 # D7: 3,4 => UNS * INC # I9: 8 # F7: 3,4 => UNS * INC # I9: 8 # H8: 5,7 => UNS * INC # I9: 8 # I8: 5,7 => UNS * INC # I9: 8 # E7: 5,7 => UNS * INC # I9: 8 # E7: 4,6,9 => UNS * INC # I9: 8 # B9: 3,4 => UNS * INC # I9: 8 # C9: 3,4 => UNS * INC # I9: 8 # D9: 3,4 => UNS * INC # I9: 8 => UNS * INC # I3: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G6,H6: 8..:
* INC # G6: 8 # C7: 3,4 => UNS * INC # G6: 8 # D7: 3,4 => UNS * INC # G6: 8 # F7: 3,4 => UNS * INC # G6: 8 # B9: 3,4 => UNS * INC # G6: 8 # C9: 3,4 => UNS * INC # G6: 8 # D9: 3,4 => UNS * INC # G6: 8 => UNS * INC # H6: 8 # G4: 1,6 => UNS * INC # H6: 8 # I4: 1,6 => UNS * INC # H6: 8 # G1: 1,6 => UNS * INC # H6: 8 # G3: 1,6 => UNS * INC # H6: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G4,H5: 2..:
* INC # G4: 2 # A3: 2,3 => UNS * INC # G4: 2 # A8: 2,3 => UNS * INC # G4: 2 # A9: 2,3 => UNS * INC # G4: 2 # B2: 2,3 => UNS * INC # G4: 2 # B3: 2,3 => UNS * INC # G4: 2 # B8: 2,3 => UNS * INC # G4: 2 # B9: 2,3 => UNS * INC # G4: 2 => UNS * INC # H5: 2 # I4: 1,6 => UNS * INC # H5: 2 # G6: 1,6 => UNS * INC # H5: 2 # G1: 1,6 => UNS * INC # H5: 2 # G3: 1,6 => UNS * INC # H5: 2 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,A9: 8..:
* INC # A7: 8 # G9: 3,4 => UNS * INC # A7: 8 # G9: 8 => UNS * INC # A7: 8 # C7: 3,4 => UNS * INC # A7: 8 # D7: 3,4 => UNS * INC # A7: 8 # F7: 3,4 => UNS * INC # A7: 8 # G1: 3,4 => UNS * INC # A7: 8 # G3: 3,4 => UNS * INC # A7: 8 => UNS * INC # A9: 8 # G7: 3,4 => UNS * INC # A9: 8 # G7: 8 => UNS * INC # A9: 8 # B9: 3,4 => UNS * INC # A9: 8 # C9: 3,4 => UNS * INC # A9: 8 # D9: 3,4 => UNS * INC # A9: 8 # G1: 3,4 => UNS * INC # A9: 8 # G3: 3,4 => UNS * INC # A9: 8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B6,G6: 6..:
* INC # B6: 6 # H6: 1,8 => UNS * INC # B6: 6 # H6: 7,9 => UNS * INC # B6: 6 # G3: 1,8 => UNS * INC # B6: 6 # G3: 2,3,4,6 => UNS * INC # B6: 6 => UNS * INC # G6: 6 # H5: 1,2 => UNS * INC # G6: 6 # H5: 7,9 => UNS * INC # G6: 6 # C4: 1,2 => UNS * INC # G6: 6 # C4: 5,9 => UNS * INC # G6: 6 # G1: 1,2 => UNS * INC # G6: 6 # G3: 1,2 => UNS * INC # G6: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for B4,B6: 6..:
* INC # B4: 6 # H5: 1,2 => UNS * INC # B4: 6 # H5: 7,9 => UNS * INC # B4: 6 # C4: 1,2 => UNS * INC # B4: 6 # C4: 5,9 => UNS * INC # B4: 6 # G1: 1,2 => UNS * INC # B4: 6 # G3: 1,2 => UNS * INC # B4: 6 => UNS * INC # B6: 6 # H6: 1,8 => UNS * INC # B6: 6 # H6: 7,9 => UNS * INC # B6: 6 # G3: 1,8 => UNS * INC # B6: 6 # G3: 2,3,4,6 => UNS * INC # B6: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A5,B5: 3..:
* INC # A5: 3 # C1: 1,2 => UNS * INC # A5: 3 # C2: 1,2 => UNS * INC # A5: 3 # D3: 1,2 => UNS * INC # A5: 3 # E3: 1,2 => UNS * INC # A5: 3 # G3: 1,2 => UNS * INC # A5: 3 # H3: 1,2 => UNS * INC # A5: 3 => UNS * INC # B5: 3 # C1: 2,4 => UNS * INC # B5: 3 # B2: 2,4 => UNS * INC # B5: 3 # C2: 2,4 => UNS * INC # B5: 3 # D3: 2,4 => UNS * INC # B5: 3 # E3: 2,4 => UNS * INC # B5: 3 # G3: 2,4 => UNS * INC # B5: 3 # H3: 2,4 => UNS * INC # B5: 3 # B8: 2,4 => UNS * INC # B5: 3 # B9: 2,4 => UNS * INC # B5: 3 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for F1,F7: 6..:
* INC # F7: 6 # D2: 3,4 => UNS * INC # F7: 6 # F2: 3,4 => UNS * INC # F7: 6 # D3: 3,4 => UNS * INC # F7: 6 # C1: 3,4 => UNS * INC # F7: 6 # G1: 3,4 => UNS * INC # F7: 6 # F8: 3,4 => UNS * INC # F7: 6 # F8: 7 => UNS * INC # F7: 6 => UNS * INC # F1: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E7,F7: 6..:
* INC # F7: 6 # D2: 3,4 => UNS * INC # F7: 6 # F2: 3,4 => UNS * INC # F7: 6 # D3: 3,4 => UNS * INC # F7: 6 # C1: 3,4 => UNS * INC # F7: 6 # G1: 3,4 => UNS * INC # F7: 6 # F8: 3,4 => UNS * INC # F7: 6 # F8: 7 => UNS * INC # F7: 6 => UNS * INC # E7: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H8,I8: 1..:
* INC # I8: 1 # I4: 7,9 => UNS * INC # I8: 1 # H5: 7,9 => UNS * INC # I8: 1 # H6: 7,9 => UNS * INC # I8: 1 # B5: 7,9 => UNS * INC # I8: 1 # E5: 7,9 => UNS * INC # I8: 1 # F5: 7,9 => UNS * INC # I8: 1 => UNS * INC # H8: 1 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for E5,F5: 4..:
* INC # F5: 4 # G1: 3,6 => UNS * INC # F5: 4 # I1: 3,6 => UNS * INC # F5: 4 # F7: 3,6 => UNS * INC # F5: 4 # F7: 7,9 => UNS * INC # F5: 4 # D2: 3,9 => UNS * INC # F5: 4 # D3: 3,9 => UNS * INC # F5: 4 # I2: 3,9 => UNS * INC # F5: 4 # I2: 1,5 => UNS * INC # F5: 4 # F7: 3,9 => UNS * INC # F5: 4 # F7: 6,7 => UNS * INC # F5: 4 # F7: 3,7 => UNS * INC # F5: 4 # F7: 6,9 => UNS * INC # F5: 4 # A8: 3,7 => UNS * INC # F5: 4 # B8: 3,7 => UNS * INC # F5: 4 # I8: 3,7 => UNS * INC # F5: 4 # G1: 3,6 # F7: 3,6 => UNS * INC # F5: 4 # G1: 3,6 # F7: 7,9 => UNS * DIS # F5: 4 # G1: 3,6 # D2: 3,9 => CTR => D2: 1,2,4 * DIS # F5: 4 # G1: 3,6 + D2: 1,2,4 # D3: 3,9 => CTR => D3: 1,2,4 * PRF # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 # I2: 3,9 => SOL * STA # F5: 4 # G1: 3,6 + D2: 1,2,4 + D3: 1,2,4 + I2: 3,9 * CNT 20 HDP CHAINS / 22 HYP OPENED