Analysis of xx-ph-02345701-2019_05_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....7.5......4....9787.3....6.....58.........3.39.5...6...26....8....1.3.. initial
Autosolve
position: 98.7..6....7.5..8...4....9787.3....6.....58.........3.39.5...6...26....8....1.3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for C7,C9: 8..:
* DIS # C9: 8 # I1: 2,4 => CTR => I1: 1,3,5 * DIS # C9: 8 + I1: 1,3,5 # I2: 2,4 => CTR => I2: 1,3 * CNT 2 HDP CHAINS / 63 HYP OPENED
List of important HDP chains detected for I1,I2: 3..:
* DIS # I1: 3 # C6: 1,5 => CTR => C6: 6,9 * DIS # I1: 3 + C6: 6,9 # C4: 9 => CTR => C4: 1,5 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 # H1: 2,4 => CTR => H1: 1,5 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 # E4: 2,4 => CTR => E4: 9 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 + E4: 9 => CTR => I1: 1,2,4,5 * STA I1: 1,2,4,5 * CNT 5 HDP CHAINS / 17 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6....7.5......4....9787.3....6.....58.........3.39.5...6...26....8....1.3.. | initial |
| 98.7..6....7.5..8...4....9787.3....6.....58.........3.39.5...6...26....8....1.3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C7: 1,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I2: 3.. / I1 = 3 => 3 pairs (_) / I2 = 3 => 1 pairs (_) B5,C5: 3.. / B5 = 3 => 3 pairs (_) / C5 = 3 => 2 pairs (_) E8,F8: 3.. / E8 = 3 => 2 pairs (_) / F8 = 3 => 1 pairs (_) C1,C5: 3.. / C1 = 3 => 3 pairs (_) / C5 = 3 => 2 pairs (_) H5,G6: 7.. / H5 = 7 => 1 pairs (_) / G6 = 7 => 1 pairs (_) A8,A9: 7.. / A8 = 7 => 1 pairs (_) / A9 = 7 => 1 pairs (_) E5,H5: 7.. / E5 = 7 => 1 pairs (_) / H5 = 7 => 1 pairs (_) C7,C9: 8.. / C7 = 8 => 1 pairs (_) / C9 = 8 => 4 pairs (_) D2,F2: 9.. / D2 = 9 => 1 pairs (_) / F2 = 9 => 1 pairs (_) G8,I9: 9.. / G8 = 9 => 1 pairs (_) / I9 = 9 => 3 pairs (_) * DURATION: 0:00:06.471133 START: 15:41:52.433435 END: 15:41:58.904568 2020-11-13 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C7,C9: 8.. / C7 = 8 ==> 1 pairs (_) / C9 = 8 ==> 5 pairs (_) C1,C5: 3.. / C1 = 3 ==> 3 pairs (_) / C5 = 3 ==> 2 pairs (_) B5,C5: 3.. / B5 = 3 ==> 3 pairs (_) / C5 = 3 ==> 2 pairs (_) G8,I9: 9.. / G8 = 9 ==> 1 pairs (_) / I9 = 9 ==> 3 pairs (_) I1,I2: 3.. / I1 = 3 ==> 0 pairs (X) / I2 = 3 => 1 pairs (_) E8,F8: 3.. / E8 = 3 ==> 2 pairs (_) / F8 = 3 ==> 1 pairs (_) D2,F2: 9.. / D2 = 9 ==> 1 pairs (_) / F2 = 9 ==> 1 pairs (_) E5,H5: 7.. / E5 = 7 ==> 1 pairs (_) / H5 = 7 ==> 1 pairs (_) A8,A9: 7.. / A8 = 7 ==> 1 pairs (_) / A9 = 7 ==> 1 pairs (_) H5,G6: 7.. / H5 = 7 ==> 1 pairs (_) / G6 = 7 ==> 1 pairs (_) * DURATION: 0:01:15.465011 START: 15:41:59.490131 END: 15:43:14.955142 2020-11-13 * REASONING C7,C9: 8.. * DIS # C9: 8 # I1: 2,4 => CTR => I1: 1,3,5 * DIS # C9: 8 + I1: 1,3,5 # I2: 2,4 => CTR => I2: 1,3 * CNT 2 HDP CHAINS / 63 HYP OPENED * REASONING I1,I2: 3.. * DIS # I1: 3 # C6: 1,5 => CTR => C6: 6,9 * DIS # I1: 3 + C6: 6,9 # C4: 9 => CTR => C4: 1,5 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 # H1: 2,4 => CTR => H1: 1,5 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 # E4: 2,4 => CTR => E4: 9 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 + E4: 9 => CTR => I1: 1,2,4,5 * STA I1: 1,2,4,5 * CNT 5 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (10) * CLUE FOUND
Header Info
2345701;2019_05_01;PAQ;25;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C7,C9: 8..:
* INC # C9: 8 # B3: 3,5 => UNS * INC # C9: 8 # B3: 1,2,6 => UNS * INC # C9: 8 # I1: 3,5 => UNS * INC # C9: 8 # I1: 1,2,4 => UNS * INC # C9: 8 # C6: 5,9 => UNS * INC # C9: 8 # C6: 6 => UNS * INC # C9: 8 # G4: 5,9 => UNS * INC # C9: 8 # G4: 1,2,4 => UNS * INC # C9: 8 # A8: 4,5 => UNS * INC # C9: 8 # A9: 4,5 => UNS * INC # C9: 8 # B9: 4,5 => UNS * INC # C9: 8 # G8: 4,5 => UNS * INC # C9: 8 # H8: 4,5 => UNS * INC # C9: 8 # B6: 4,5 => UNS * INC # C9: 8 # B6: 1,2 => UNS * INC # C9: 8 # G7: 2,4 => UNS * INC # C9: 8 # H9: 2,4 => UNS * INC # C9: 8 # I9: 2,4 => UNS * INC # C9: 8 # E7: 2,4 => UNS * INC # C9: 8 # F7: 2,4 => UNS * DIS # C9: 8 # I1: 2,4 => CTR => I1: 1,3,5 * DIS # C9: 8 + I1: 1,3,5 # I2: 2,4 => CTR => I2: 1,3 * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I5: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I6: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # G7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # H9: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I9: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # E7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # F7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I5: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I6: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B3: 3,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B3: 1,2,6 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I1: 3,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I1: 1 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I1: 1,3 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I1: 5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B2: 1,3 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # F2: 1,3 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # C6: 5,9 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # C6: 6 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # G4: 5,9 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # G4: 1,2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # A8: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # A9: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B9: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # G8: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # H8: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B6: 4,5 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # B6: 1,2 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # G7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # H9: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I9: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # E7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # F7: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I5: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 # I6: 2,4 => UNS * INC # C9: 8 + I1: 1,3,5 + I2: 1,3 => UNS * INC # C7: 8 # A9: 5,6 => UNS * INC # C7: 8 # B9: 5,6 => UNS * INC # C7: 8 # C6: 5,6 => UNS * INC # C7: 8 # C6: 1,9 => UNS * INC # C7: 8 => UNS * CNT 63 HDP CHAINS / 63 HYP OPENED
Full list of HDP chains traversed for C1,C5: 3..:
* INC # C1: 3 # F1: 2,4 => UNS * INC # C1: 3 # D2: 2,4 => UNS * INC # C1: 3 # F2: 2,4 => UNS * INC # C1: 3 # H1: 2,4 => UNS * INC # C1: 3 # I1: 2,4 => UNS * INC # C1: 3 # E4: 2,4 => UNS * INC # C1: 3 # E5: 2,4 => UNS * INC # C1: 3 # E6: 2,4 => UNS * INC # C1: 3 # E7: 2,4 => UNS * INC # C1: 3 # H1: 1,2 => UNS * INC # C1: 3 # I1: 1,2 => UNS * INC # C1: 3 # G2: 1,2 => UNS * INC # C1: 3 # A3: 1,2 => UNS * INC # C1: 3 # B3: 1,2 => UNS * INC # C1: 3 # D3: 1,2 => UNS * INC # C1: 3 # F3: 1,2 => UNS * INC # C1: 3 # G4: 1,2 => UNS * INC # C1: 3 # G6: 1,2 => UNS * INC # C1: 3 # G7: 1,2 => UNS * INC # C1: 3 => UNS * INC # C5: 3 # A3: 1,5 => UNS * INC # C5: 3 # B3: 1,5 => UNS * INC # C5: 3 # H1: 1,5 => UNS * INC # C5: 3 # I1: 1,5 => UNS * INC # C5: 3 # C4: 1,5 => UNS * INC # C5: 3 # C6: 1,5 => UNS * INC # C5: 3 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for B5,C5: 3..:
* INC # B5: 3 # F1: 2,4 => UNS * INC # B5: 3 # D2: 2,4 => UNS * INC # B5: 3 # F2: 2,4 => UNS * INC # B5: 3 # H1: 2,4 => UNS * INC # B5: 3 # I1: 2,4 => UNS * INC # B5: 3 # E4: 2,4 => UNS * INC # B5: 3 # E5: 2,4 => UNS * INC # B5: 3 # E6: 2,4 => UNS * INC # B5: 3 # E7: 2,4 => UNS * INC # B5: 3 # H1: 1,2 => UNS * INC # B5: 3 # I1: 1,2 => UNS * INC # B5: 3 # G2: 1,2 => UNS * INC # B5: 3 # A3: 1,2 => UNS * INC # B5: 3 # B3: 1,2 => UNS * INC # B5: 3 # D3: 1,2 => UNS * INC # B5: 3 # F3: 1,2 => UNS * INC # B5: 3 # G4: 1,2 => UNS * INC # B5: 3 # G6: 1,2 => UNS * INC # B5: 3 # G7: 1,2 => UNS * INC # B5: 3 => UNS * INC # C5: 3 # A3: 1,5 => UNS * INC # C5: 3 # B3: 1,5 => UNS * INC # C5: 3 # H1: 1,5 => UNS * INC # C5: 3 # I1: 1,5 => UNS * INC # C5: 3 # C4: 1,5 => UNS * INC # C5: 3 # C6: 1,5 => UNS * INC # C5: 3 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for G8,I9: 9..:
* INC # I9: 9 # F2: 3,9 => UNS * INC # I9: 9 # F2: 1,2,4,6 => UNS * INC # I9: 9 => UNS * INC # G8: 9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for I1,I2: 3..:
* INC # I1: 3 # A3: 1,5 => UNS * INC # I1: 3 # B3: 1,5 => UNS * INC # I1: 3 # H1: 1,5 => UNS * INC # I1: 3 # H1: 2,4 => UNS * INC # I1: 3 # C4: 1,5 => UNS * DIS # I1: 3 # C6: 1,5 => CTR => C6: 6,9 * INC # I1: 3 + C6: 6,9 # C4: 1,5 => UNS * DIS # I1: 3 + C6: 6,9 # C4: 9 => CTR => C4: 1,5 * INC # I1: 3 + C6: 6,9 + C4: 1,5 # A3: 1,5 => UNS * INC # I1: 3 + C6: 6,9 + C4: 1,5 # B3: 1,5 => UNS * INC # I1: 3 + C6: 6,9 + C4: 1,5 # H1: 1,5 => UNS * DIS # I1: 3 + C6: 6,9 + C4: 1,5 # H1: 2,4 => CTR => H1: 1,5 * INC # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 # A3: 1,5 => UNS * INC # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 # B3: 1,5 => UNS * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 # E4: 2,4 => CTR => E4: 9 * DIS # I1: 3 + C6: 6,9 + C4: 1,5 + H1: 1,5 + E4: 9 => CTR => I1: 1,2,4,5 * INC I1: 1,2,4,5 # I2: 3 => UNS * STA I1: 1,2,4,5 * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for E8,F8: 3..:
* INC # E8: 3 # F1: 2,4 => UNS * INC # E8: 3 # D2: 2,4 => UNS * INC # E8: 3 # F2: 2,4 => UNS * INC # E8: 3 # H1: 2,4 => UNS * INC # E8: 3 # I1: 2,4 => UNS * INC # E8: 3 # E4: 2,4 => UNS * INC # E8: 3 # E5: 2,4 => UNS * INC # E8: 3 # E6: 2,4 => UNS * INC # E8: 3 # E7: 2,4 => UNS * INC # E8: 3 => UNS * INC # F8: 3 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for D2,F2: 9..:
* INC # D2: 9 => UNS * INC # F2: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E5,H5: 7..:
* INC # E5: 7 => UNS * INC # H5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,A9: 7..:
* INC # A8: 7 => UNS * INC # A9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H5,G6: 7..:
* INC # H5: 7 => UNS * INC # G6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED