Analysis of xx-ph-02210340-2018_12_06-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7..6..5......4..8.67.3..9....3..2...........31.........6...71...5.1...96 initial
Autosolve
position: 98.7..6..7..6..5....6.4..8.67.3..9....3..2...........31.........6...71...5.1...96 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C9,G9: 7..:
* DIS # G9: 7 # B3: 2,3 => CTR => B3: 1 * DIS # G9: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * DIS # G9: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => G9: 2,3,4,8 * STA G9: 2,3,4,8 * CNT 5 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for C7,C9: 7..:
* DIS # C7: 7 # B3: 2,3 => CTR => B3: 1 * DIS # C7: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * DIS # C7: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => C7: 2,4,8,9 * STA C7: 2,4,8,9 * CNT 5 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for I2,I3: 9..:
* DIS # I3: 9 # I5: 4,8 => CTR => I5: 1,5,7 * CNT 1 HDP CHAINS / 45 HYP OPENED
List of important HDP chains detected for G3,I3: 7..:
* DIS # G3: 7 # I5: 4,8 => CTR => I5: 1,5,7 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for E5,E6: 7..:
* DIS # E5: 7 # I5: 4,8 => CTR => I5: 1,5 * CNT 1 HDP CHAINS / 24 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..6..5......4..8.67.3..9....3..2...........31.........6...71...5.1...96 | initial |
| 98.7..6..7..6..5....6.4..8.67.3..9....3..2...........31.........6...71...5.1...96 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,A3: 5.. / C1 = 5 => 2 pairs (_) / A3 = 5 => 2 pairs (_) H5,H6: 6.. / H5 = 6 => 0 pairs (_) / H6 = 6 => 0 pairs (_) E7,F7: 6.. / E7 = 6 => 0 pairs (_) / F7 = 6 => 2 pairs (_) E5,H5: 6.. / E5 = 6 => 0 pairs (_) / H5 = 6 => 0 pairs (_) F6,F7: 6.. / F6 = 6 => 0 pairs (_) / F7 = 6 => 2 pairs (_) G3,I3: 7.. / G3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) E5,E6: 7.. / E5 = 7 => 1 pairs (_) / E6 = 7 => 0 pairs (_) C7,C9: 7.. / C7 = 7 => 5 pairs (_) / C9 = 7 => 0 pairs (_) C9,G9: 7.. / C9 = 7 => 0 pairs (_) / G9 = 7 => 5 pairs (_) E2,F2: 8.. / E2 = 8 => 2 pairs (_) / F2 = 8 => 1 pairs (_) I2,I3: 9.. / I2 = 9 => 0 pairs (_) / I3 = 9 => 4 pairs (_) * DURATION: 0:00:06.677470 START: 18:02:54.413245 END: 18:03:01.090715 2020-11-04 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C9,G9: 7.. / C9 = 7 => 0 pairs (_) / G9 = 7 ==> 0 pairs (X) C7,C9: 7.. / C7 = 7 ==> 0 pairs (X) / C9 = 7 => 0 pairs (_) I2,I3: 9.. / I2 = 9 ==> 0 pairs (_) / I3 = 9 ==> 4 pairs (_) C1,A3: 5.. / C1 = 5 ==> 2 pairs (_) / A3 = 5 ==> 2 pairs (_) E2,F2: 8.. / E2 = 8 ==> 2 pairs (_) / F2 = 8 ==> 1 pairs (_) F6,F7: 6.. / F6 = 6 ==> 0 pairs (_) / F7 = 6 ==> 2 pairs (_) E7,F7: 6.. / E7 = 6 ==> 0 pairs (_) / F7 = 6 ==> 2 pairs (_) G3,I3: 7.. / G3 = 7 ==> 1 pairs (_) / I3 = 7 ==> 1 pairs (_) E5,E6: 7.. / E5 = 7 ==> 2 pairs (_) / E6 = 7 ==> 0 pairs (_) E5,H5: 6.. / E5 = 6 ==> 0 pairs (_) / H5 = 6 ==> 0 pairs (_) H5,H6: 6.. / H5 = 6 ==> 0 pairs (_) / H6 = 6 ==> 0 pairs (_) * DURATION: 0:01:39.843810 START: 18:03:01.091217 END: 18:04:40.935027 2020-11-04 * REASONING C9,G9: 7.. * DIS # G9: 7 # B3: 2,3 => CTR => B3: 1 * DIS # G9: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * DIS # G9: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => G9: 2,3,4,8 * STA G9: 2,3,4,8 * CNT 5 HDP CHAINS / 19 HYP OPENED * REASONING C7,C9: 7.. * DIS # C7: 7 # B3: 2,3 => CTR => B3: 1 * DIS # C7: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * DIS # C7: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => C7: 2,4,8,9 * STA C7: 2,4,8,9 * CNT 5 HDP CHAINS / 19 HYP OPENED * REASONING I2,I3: 9.. * DIS # I3: 9 # I5: 4,8 => CTR => I5: 1,5,7 * CNT 1 HDP CHAINS / 45 HYP OPENED * REASONING G3,I3: 7.. * DIS # G3: 7 # I5: 4,8 => CTR => I5: 1,5,7 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING E5,E6: 7.. * DIS # E5: 7 # I5: 4,8 => CTR => I5: 1,5 * CNT 1 HDP CHAINS / 24 HYP OPENED * DCP COUNT: (11) * CLUE FOUND
Header Info
2210340;2018_12_06;PAQ;24;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C9,G9: 7..:
* INC # G9: 7 # H1: 2,3 => UNS * INC # G9: 7 # H2: 2,3 => UNS * INC # G9: 7 # A3: 2,3 => UNS * DIS # G9: 7 # B3: 2,3 => CTR => B3: 1 * INC # G9: 7 + B3: 1 # A3: 2,3 => UNS * DIS # G9: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * INC # G9: 7 + B3: 1 + A3: 2,3 # G7: 2,3 => UNS * DIS # G9: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # H1: 2,3 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # H2: 2,3 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 6,7 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 9 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # A5: 4,8 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # D5: 4,8 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 6,7 => UNS * INC # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 9 => UNS * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # G9: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => G9: 2,3,4,8 * INC G9: 2,3,4,8 # C9: 7 => UNS * STA G9: 2,3,4,8 * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for C7,C9: 7..:
* INC # C7: 7 # H1: 2,3 => UNS * INC # C7: 7 # H2: 2,3 => UNS * INC # C7: 7 # A3: 2,3 => UNS * DIS # C7: 7 # B3: 2,3 => CTR => B3: 1 * INC # C7: 7 + B3: 1 # A3: 2,3 => UNS * DIS # C7: 7 + B3: 1 # A3: 5 => CTR => A3: 2,3 * INC # C7: 7 + B3: 1 + A3: 2,3 # G7: 2,3 => UNS * DIS # C7: 7 + B3: 1 + A3: 2,3 # G7: 4,8 => CTR => G7: 2,3 * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # H1: 2,3 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # H2: 2,3 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 6,7 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 9 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # A5: 4,8 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # D5: 4,8 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 6,7 => UNS * INC # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # E6: 9 => UNS * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 # B2: 2,4 => CTR => B2: 3 * DIS # C7: 7 + B3: 1 + A3: 2,3 + G7: 2,3 + B2: 3 => CTR => C7: 2,4,8,9 * INC C7: 2,4,8,9 # C9: 7 => UNS * STA C7: 2,4,8,9 * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for I2,I3: 9..:
* INC # I3: 9 # E5: 8,9 => UNS * INC # I3: 9 # E6: 8,9 => UNS * INC # I3: 9 # E7: 8,9 => UNS * INC # I3: 9 # E8: 8,9 => UNS * INC # I3: 9 # F6: 8,9 => UNS * INC # I3: 9 # F7: 8,9 => UNS * INC # I3: 9 # E1: 2,5 => UNS * INC # I3: 9 # E1: 1,3 => UNS * INC # I3: 9 # A3: 2,5 => UNS * INC # I3: 9 # A3: 3 => UNS * INC # I3: 9 # D7: 2,5 => UNS * INC # I3: 9 # D8: 2,5 => UNS * INC # I3: 9 # I4: 4,8 => UNS * DIS # I3: 9 # I5: 4,8 => CTR => I5: 1,5,7 * INC # I3: 9 + I5: 1,5,7 # G6: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # A5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # D5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G7: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G9: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # I4: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G6: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # A5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # D5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G7: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G9: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # E5: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # E6: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # E7: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # E8: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # F6: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # F7: 8,9 => UNS * INC # I3: 9 + I5: 1,5,7 # E1: 2,5 => UNS * INC # I3: 9 + I5: 1,5,7 # E1: 1,3 => UNS * INC # I3: 9 + I5: 1,5,7 # A3: 2,5 => UNS * INC # I3: 9 + I5: 1,5,7 # A3: 3 => UNS * INC # I3: 9 + I5: 1,5,7 # D7: 2,5 => UNS * INC # I3: 9 + I5: 1,5,7 # D8: 2,5 => UNS * INC # I3: 9 + I5: 1,5,7 # I4: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G6: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # A5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # D5: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G7: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 # G9: 4,8 => UNS * INC # I3: 9 + I5: 1,5,7 => UNS * INC # I2: 9 => UNS * CNT 45 HDP CHAINS / 45 HYP OPENED
Full list of HDP chains traversed for C1,A3: 5..:
* INC # C1: 5 # B2: 2,3 => UNS * INC # C1: 5 # B3: 2,3 => UNS * INC # C1: 5 # G3: 2,3 => UNS * INC # C1: 5 # G3: 7 => UNS * INC # C1: 5 # A8: 2,3 => UNS * INC # C1: 5 # A9: 2,3 => UNS * INC # C1: 5 # E1: 1,3 => UNS * INC # C1: 5 # E2: 1,3 => UNS * INC # C1: 5 # F2: 1,3 => UNS * INC # C1: 5 # F3: 1,3 => UNS * INC # C1: 5 # H1: 1,3 => UNS * INC # C1: 5 # H1: 2,4 => UNS * INC # C1: 5 => UNS * INC # A3: 5 # E2: 2,9 => UNS * INC # A3: 5 # E2: 1,3,8 => UNS * INC # A3: 5 # I3: 2,9 => UNS * INC # A3: 5 # I3: 1,7 => UNS * INC # A3: 5 # D7: 2,9 => UNS * INC # A3: 5 # D8: 2,9 => UNS * INC # A3: 5 # C4: 4,8 => UNS * INC # A3: 5 # A6: 4,8 => UNS * INC # A3: 5 # C6: 4,8 => UNS * INC # A3: 5 # D5: 4,8 => UNS * INC # A3: 5 # G5: 4,8 => UNS * INC # A3: 5 # I5: 4,8 => UNS * INC # A3: 5 # A8: 4,8 => UNS * INC # A3: 5 # A9: 4,8 => UNS * INC # A3: 5 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for E2,F2: 8..:
* INC # E2: 8 # F4: 1,5 => UNS * INC # E2: 8 # E5: 1,5 => UNS * INC # E2: 8 # E6: 1,5 => UNS * INC # E2: 8 # F6: 1,5 => UNS * INC # E2: 8 # C4: 1,5 => UNS * INC # E2: 8 # H4: 1,5 => UNS * INC # E2: 8 # I4: 1,5 => UNS * INC # E2: 8 # E1: 1,5 => UNS * INC # E2: 8 # E1: 2,3 => UNS * INC # E2: 8 # E7: 2,3 => UNS * INC # E2: 8 # E8: 2,3 => UNS * INC # E2: 8 # A9: 2,3 => UNS * INC # E2: 8 # G9: 2,3 => UNS * INC # E2: 8 # E1: 2,3 => UNS * INC # E2: 8 # E1: 1,5 => UNS * INC # E2: 8 => UNS * INC # F2: 8 # F7: 3,4 => UNS * INC # F2: 8 # F7: 5,6,9 => UNS * INC # F2: 8 # A9: 3,4 => UNS * INC # F2: 8 # G9: 3,4 => UNS * INC # F2: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for F6,F7: 6..:
* INC # F7: 6 # H5: 6,7 => UNS * INC # F7: 6 # H5: 1,4,5 => UNS * INC # F7: 6 # H6: 6,7 => UNS * INC # F7: 6 # H6: 1,2,4,5 => UNS * INC # F7: 6 => UNS * INC # F6: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for E7,F7: 6..:
* INC # F7: 6 # H5: 6,7 => UNS * INC # F7: 6 # H5: 1,4,5 => UNS * INC # F7: 6 # H6: 6,7 => UNS * INC # F7: 6 # H6: 1,2,4,5 => UNS * INC # F7: 6 => UNS * INC # E7: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G3,I3: 7..:
* INC # G3: 7 # I4: 4,8 => UNS * DIS # G3: 7 # I5: 4,8 => CTR => I5: 1,5,7 * INC # G3: 7 + I5: 1,5,7 # G6: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # A5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # D5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G7: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G9: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # I4: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G6: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # A5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # D5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G7: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G9: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # I4: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G6: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # A5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # D5: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G7: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 # G9: 4,8 => UNS * INC # G3: 7 + I5: 1,5,7 => UNS * INC # I3: 7 # H1: 2,3 => UNS * INC # I3: 7 # H2: 2,3 => UNS * INC # I3: 7 # A3: 2,3 => UNS * INC # I3: 7 # B3: 2,3 => UNS * INC # I3: 7 # G7: 2,3 => UNS * INC # I3: 7 # G9: 2,3 => UNS * INC # I3: 7 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for E5,E6: 7..:
* INC # E5: 7 # I4: 4,8 => UNS * DIS # E5: 7 # I5: 4,8 => CTR => I5: 1,5 * INC # E5: 7 + I5: 1,5 # G6: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # A5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # D5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G7: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G9: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # I4: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G6: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # A5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # D5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G7: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G9: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # I4: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G6: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # A5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # D5: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G7: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # G9: 4,8 => UNS * INC # E5: 7 + I5: 1,5 # H4: 1,5 => UNS * INC # E5: 7 + I5: 1,5 # I4: 1,5 => UNS * INC # E5: 7 + I5: 1,5 # H6: 1,5 => UNS * INC # E5: 7 + I5: 1,5 => UNS * INC # E6: 7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for E5,H5: 6..:
* INC # E5: 6 => UNS * INC # H5: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H5,H6: 6..:
* INC # H5: 6 => UNS * INC # H6: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED