Analysis of xx-ph-02487407-2019_08_05_a-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....7.96.5..........86..4.7....3.........8.....6....84..4...7...2..14....7 initial
Autosolve
position: 98.7..6....7.96.5...6.8..7.86..4.7....3.........8.....67...84..4.8.7...2..14....7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for F1,F3: 4..:
* DIS # F1: 4 # G2: 1,3 => CTR => G2: 2,8 * DIS # F1: 4 + G2: 2,8 # I2: 1,3 => CTR => I2: 4,8 * DIS # F1: 4 + G2: 2,8 + I2: 4,8 # I3: 1,3 => CTR => I3: 4,9 * CNT 3 HDP CHAINS / 37 HYP OPENED
List of important HDP chains detected for E6,I6: 6..:
* DIS # E6: 6 => CTR => E6: 1,2,3,5 * STA E6: 1,2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for I5,I6: 6..:
* DIS # I5: 6 => CTR => I5: 1,4,5,8,9 * STA I5: 1,4,5,8,9 * CNT 1 HDP CHAINS / 2 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....7.96.5..........86..4.7....3.........8.....6....84..4...7...2..14....7 | initial |
| 98.7..6....7.96.5...6.8..7.86..4.7....3.........8.....67...84..4.8.7...2..14....7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F3: 4.. / F1 = 4 => 2 pairs (_) / F3 = 4 => 0 pairs (_) B2,I2: 4.. / B2 = 4 => 1 pairs (_) / I2 = 4 => 1 pairs (_) C1,C6: 4.. / C1 = 4 => 1 pairs (_) / C6 = 4 => 1 pairs (_) I5,I6: 6.. / I5 = 6 => 0 pairs (X) / I6 = 6 => 0 pairs (_) D8,E9: 6.. / D8 = 6 => 2 pairs (_) / E9 = 6 => 0 pairs (_) H8,H9: 6.. / H8 = 6 => 0 pairs (_) / H9 = 6 => 2 pairs (_) E6,I6: 6.. / E6 = 6 => 0 pairs (X) / I6 = 6 => 0 pairs (_) D8,H8: 6.. / D8 = 6 => 2 pairs (_) / H8 = 6 => 0 pairs (_) E9,H9: 6.. / E9 = 6 => 0 pairs (_) / H9 = 6 => 2 pairs (_) D5,D8: 6.. / D5 = 6 => 0 pairs (_) / D8 = 6 => 2 pairs (_) A5,A6: 7.. / A5 = 7 => 0 pairs (_) / A6 = 7 => 0 pairs (_) F5,F6: 7.. / F5 = 7 => 0 pairs (_) / F6 = 7 => 0 pairs (_) A5,F5: 7.. / A5 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) A6,F6: 7.. / A6 = 7 => 0 pairs (_) / F6 = 7 => 0 pairs (_) G2,I2: 8.. / G2 = 8 => 0 pairs (_) / I2 = 8 => 1 pairs (_) G9,H9: 8.. / G9 = 8 => 2 pairs (_) / H9 = 8 => 0 pairs (_) H5,H9: 8.. / H5 = 8 => 2 pairs (_) / H9 = 8 => 0 pairs (_) I2,I5: 8.. / I2 = 8 => 1 pairs (_) / I5 = 8 => 0 pairs (_) G3,I3: 9.. / G3 = 9 => 0 pairs (_) / I3 = 9 => 0 pairs (_) * DURATION: 0:00:14.523802 START: 15:05:17.357392 END: 15:05:31.881194 2020-11-14 * CP COUNT: (19) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H5,H9: 8.. / H5 = 8 ==> 2 pairs (_) / H9 = 8 ==> 0 pairs (_) G9,H9: 8.. / G9 = 8 ==> 2 pairs (_) / H9 = 8 ==> 0 pairs (_) D5,D8: 6.. / D5 = 6 ==> 0 pairs (_) / D8 = 6 ==> 2 pairs (_) E9,H9: 6.. / E9 = 6 ==> 0 pairs (_) / H9 = 6 ==> 2 pairs (_) D8,H8: 6.. / D8 = 6 ==> 2 pairs (_) / H8 = 6 ==> 0 pairs (_) H8,H9: 6.. / H8 = 6 ==> 0 pairs (_) / H9 = 6 ==> 2 pairs (_) D8,E9: 6.. / D8 = 6 ==> 2 pairs (_) / E9 = 6 ==> 0 pairs (_) F1,F3: 4.. / F1 = 4 ==> 5 pairs (_) / F3 = 4 ==> 0 pairs (_) C1,C6: 4.. / C1 = 4 ==> 1 pairs (_) / C6 = 4 ==> 1 pairs (_) B2,I2: 4.. / B2 = 4 ==> 1 pairs (_) / I2 = 4 ==> 1 pairs (_) I2,I5: 8.. / I2 = 8 ==> 1 pairs (_) / I5 = 8 ==> 0 pairs (_) G2,I2: 8.. / G2 = 8 ==> 0 pairs (_) / I2 = 8 ==> 1 pairs (_) G3,I3: 9.. / G3 = 9 ==> 0 pairs (_) / I3 = 9 ==> 0 pairs (_) A6,F6: 7.. / A6 = 7 ==> 0 pairs (_) / F6 = 7 ==> 0 pairs (_) A5,F5: 7.. / A5 = 7 ==> 0 pairs (_) / F5 = 7 ==> 0 pairs (_) F5,F6: 7.. / F5 = 7 ==> 0 pairs (_) / F6 = 7 ==> 0 pairs (_) A5,A6: 7.. / A5 = 7 ==> 0 pairs (_) / A6 = 7 ==> 0 pairs (_) E6,I6: 6.. / E6 = 6 => 0 pairs (X) / I6 = 6 => 0 pairs (_) I5,I6: 6.. / I5 = 6 => 0 pairs (X) / I6 = 6 => 0 pairs (_) * DURATION: 0:01:57.387892 START: 15:05:31.881842 END: 15:07:29.269734 2020-11-14 * REASONING F1,F3: 4.. * DIS # F1: 4 # G2: 1,3 => CTR => G2: 2,8 * DIS # F1: 4 + G2: 2,8 # I2: 1,3 => CTR => I2: 4,8 * DIS # F1: 4 + G2: 2,8 + I2: 4,8 # I3: 1,3 => CTR => I3: 4,9 * CNT 3 HDP CHAINS / 37 HYP OPENED * REASONING E6,I6: 6.. * DIS # E6: 6 => CTR => E6: 1,2,3,5 * STA E6: 1,2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING I5,I6: 6.. * DIS # I5: 6 => CTR => I5: 1,4,5,8,9 * STA I5: 1,4,5,8,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (19) * CLUE FOUND
Header Info
2487407;2019_08_05_a;PAQ;23;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H5,H9: 8..:
* INC # H5: 8 # A3: 2,5 => UNS * INC # H5: 8 # B3: 2,5 => UNS * INC # H5: 8 # E1: 2,5 => UNS * INC # H5: 8 # F1: 2,5 => UNS * INC # H5: 8 # C4: 2,5 => UNS * INC # H5: 8 # C7: 2,5 => UNS * INC # H5: 8 # G2: 1,3 => UNS * INC # H5: 8 # G3: 1,3 => UNS * INC # H5: 8 # I3: 1,3 => UNS * INC # H5: 8 # E1: 1,3 => UNS * INC # H5: 8 # F1: 1,3 => UNS * INC # H5: 8 # I4: 1,3 => UNS * INC # H5: 8 # I7: 1,3 => UNS * INC # H5: 8 => UNS * INC # H9: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G9,H9: 8..:
* INC # G9: 8 # A3: 2,5 => UNS * INC # G9: 8 # B3: 2,5 => UNS * INC # G9: 8 # E1: 2,5 => UNS * INC # G9: 8 # F1: 2,5 => UNS * INC # G9: 8 # C4: 2,5 => UNS * INC # G9: 8 # C7: 2,5 => UNS * INC # G9: 8 # G2: 1,3 => UNS * INC # G9: 8 # G3: 1,3 => UNS * INC # G9: 8 # I3: 1,3 => UNS * INC # G9: 8 # E1: 1,3 => UNS * INC # G9: 8 # F1: 1,3 => UNS * INC # G9: 8 # I4: 1,3 => UNS * INC # G9: 8 # I7: 1,3 => UNS * INC # G9: 8 => UNS * INC # H9: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D5,D8: 6..:
* INC # D8: 6 # A3: 2,5 => UNS * INC # D8: 6 # B3: 2,5 => UNS * INC # D8: 6 # E1: 2,5 => UNS * INC # D8: 6 # F1: 2,5 => UNS * INC # D8: 6 # C4: 2,5 => UNS * INC # D8: 6 # C7: 2,5 => UNS * INC # D8: 6 # G2: 1,3 => UNS * INC # D8: 6 # G3: 1,3 => UNS * INC # D8: 6 # I3: 1,3 => UNS * INC # D8: 6 # E1: 1,3 => UNS * INC # D8: 6 # F1: 1,3 => UNS * INC # D8: 6 # I4: 1,3 => UNS * INC # D8: 6 # I7: 1,3 => UNS * INC # D8: 6 => UNS * INC # D5: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E9,H9: 6..:
* INC # H9: 6 # A3: 2,5 => UNS * INC # H9: 6 # B3: 2,5 => UNS * INC # H9: 6 # E1: 2,5 => UNS * INC # H9: 6 # F1: 2,5 => UNS * INC # H9: 6 # C4: 2,5 => UNS * INC # H9: 6 # C7: 2,5 => UNS * INC # H9: 6 # G2: 1,3 => UNS * INC # H9: 6 # G3: 1,3 => UNS * INC # H9: 6 # I3: 1,3 => UNS * INC # H9: 6 # E1: 1,3 => UNS * INC # H9: 6 # F1: 1,3 => UNS * INC # H9: 6 # I4: 1,3 => UNS * INC # H9: 6 # I7: 1,3 => UNS * INC # H9: 6 => UNS * INC # E9: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D8,H8: 6..:
* INC # D8: 6 # A3: 2,5 => UNS * INC # D8: 6 # B3: 2,5 => UNS * INC # D8: 6 # E1: 2,5 => UNS * INC # D8: 6 # F1: 2,5 => UNS * INC # D8: 6 # C4: 2,5 => UNS * INC # D8: 6 # C7: 2,5 => UNS * INC # D8: 6 # G2: 1,3 => UNS * INC # D8: 6 # G3: 1,3 => UNS * INC # D8: 6 # I3: 1,3 => UNS * INC # D8: 6 # E1: 1,3 => UNS * INC # D8: 6 # F1: 1,3 => UNS * INC # D8: 6 # I4: 1,3 => UNS * INC # D8: 6 # I7: 1,3 => UNS * INC # D8: 6 => UNS * INC # H8: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for H8,H9: 6..:
* INC # H9: 6 # A3: 2,5 => UNS * INC # H9: 6 # B3: 2,5 => UNS * INC # H9: 6 # E1: 2,5 => UNS * INC # H9: 6 # F1: 2,5 => UNS * INC # H9: 6 # C4: 2,5 => UNS * INC # H9: 6 # C7: 2,5 => UNS * INC # H9: 6 # G2: 1,3 => UNS * INC # H9: 6 # G3: 1,3 => UNS * INC # H9: 6 # I3: 1,3 => UNS * INC # H9: 6 # E1: 1,3 => UNS * INC # H9: 6 # F1: 1,3 => UNS * INC # H9: 6 # I4: 1,3 => UNS * INC # H9: 6 # I7: 1,3 => UNS * INC # H9: 6 => UNS * INC # H8: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D8,E9: 6..:
* INC # D8: 6 # A3: 2,5 => UNS * INC # D8: 6 # B3: 2,5 => UNS * INC # D8: 6 # E1: 2,5 => UNS * INC # D8: 6 # F1: 2,5 => UNS * INC # D8: 6 # C4: 2,5 => UNS * INC # D8: 6 # C7: 2,5 => UNS * INC # D8: 6 # G2: 1,3 => UNS * INC # D8: 6 # G3: 1,3 => UNS * INC # D8: 6 # I3: 1,3 => UNS * INC # D8: 6 # E1: 1,3 => UNS * INC # D8: 6 # F1: 1,3 => UNS * INC # D8: 6 # I4: 1,3 => UNS * INC # D8: 6 # I7: 1,3 => UNS * INC # D8: 6 => UNS * INC # E9: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for F1,F3: 4..:
* INC # F1: 4 # A3: 2,5 => UNS * INC # F1: 4 # B3: 2,5 => UNS * INC # F1: 4 # E1: 2,5 => UNS * INC # F1: 4 # E1: 1,3 => UNS * INC # F1: 4 # C4: 2,5 => UNS * INC # F1: 4 # C7: 2,5 => UNS * INC # F1: 4 # H1: 1,3 => UNS * DIS # F1: 4 # G2: 1,3 => CTR => G2: 2,8 * DIS # F1: 4 + G2: 2,8 # I2: 1,3 => CTR => I2: 4,8 * INC # F1: 4 + G2: 2,8 + I2: 4,8 # G3: 1,3 => UNS * DIS # F1: 4 + G2: 2,8 + I2: 4,8 # I3: 1,3 => CTR => I3: 4,9 * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I4: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I7: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # H1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # G3: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I4: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I7: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # A3: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # B3: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # C4: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # C7: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # H1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # G3: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # E1: 2,5 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I4: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # I7: 1,3 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # G5: 2,8 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 # G5: 1,5,9 => UNS * INC # F1: 4 + G2: 2,8 + I2: 4,8 + I3: 4,9 => UNS * INC # F3: 4 => UNS * CNT 37 HDP CHAINS / 37 HYP OPENED
Full list of HDP chains traversed for C1,C6: 4..:
* INC # C1: 4 # H1: 1,3 => UNS * INC # C1: 4 # G3: 1,3 => UNS * INC # C1: 4 # I3: 1,3 => UNS * INC # C1: 4 # E1: 1,3 => UNS * INC # C1: 4 # F1: 1,3 => UNS * INC # C1: 4 # I4: 1,3 => UNS * INC # C1: 4 # I7: 1,3 => UNS * INC # C1: 4 => UNS * INC # C6: 4 # A3: 2,5 => UNS * INC # C6: 4 # B3: 2,5 => UNS * INC # C6: 4 # E1: 2,5 => UNS * INC # C6: 4 # F1: 2,5 => UNS * INC # C6: 4 # C4: 2,5 => UNS * INC # C6: 4 # C7: 2,5 => UNS * INC # C6: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for B2,I2: 4..:
* INC # B2: 4 # A3: 2,5 => UNS * INC # B2: 4 # B3: 2,5 => UNS * INC # B2: 4 # E1: 2,5 => UNS * INC # B2: 4 # F1: 2,5 => UNS * INC # B2: 4 # C4: 2,5 => UNS * INC # B2: 4 # C7: 2,5 => UNS * INC # B2: 4 => UNS * INC # I2: 4 # H1: 1,3 => UNS * INC # I2: 4 # G3: 1,3 => UNS * INC # I2: 4 # I3: 1,3 => UNS * INC # I2: 4 # E1: 1,3 => UNS * INC # I2: 4 # F1: 1,3 => UNS * INC # I2: 4 # I4: 1,3 => UNS * INC # I2: 4 # I7: 1,3 => UNS * INC # I2: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for I2,I5: 8..:
* INC # I2: 8 # A3: 2,5 => UNS * INC # I2: 8 # B3: 2,5 => UNS * INC # I2: 8 # E1: 2,5 => UNS * INC # I2: 8 # F1: 2,5 => UNS * INC # I2: 8 # C4: 2,5 => UNS * INC # I2: 8 # C7: 2,5 => UNS * INC # I2: 8 => UNS * INC # I5: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # I2: 8 # A3: 2,5 => UNS * INC # I2: 8 # B3: 2,5 => UNS * INC # I2: 8 # E1: 2,5 => UNS * INC # I2: 8 # F1: 2,5 => UNS * INC # I2: 8 # C4: 2,5 => UNS * INC # I2: 8 # C7: 2,5 => UNS * INC # I2: 8 => UNS * INC # G2: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G3,I3: 9..:
* INC # G3: 9 => UNS * INC # I3: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A6,F6: 7..:
* INC # A6: 7 => UNS * INC # F6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A5,F5: 7..:
* INC # A5: 7 => UNS * INC # F5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F5,F6: 7..:
* INC # F5: 7 => UNS * INC # F6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A5,A6: 7..:
* INC # A5: 7 => UNS * INC # A6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E6,I6: 6..:
* DIS # E6: 6 => CTR => E6: 1,2,3,5 * INC E6: 1,2,3,5 # I6: 6 => UNS * STA E6: 1,2,3,5 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I5,I6: 6..:
* DIS # I5: 6 => CTR => I5: 1,4,5,8,9 * INC I5: 1,4,5,8,9 # I6: 6 => UNS * STA I5: 1,4,5,8,9 * CNT 2 HDP CHAINS / 2 HYP OPENED