Analysis of xx-ph-02123983-2018_12_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7...8..5...4......69...87...4.63......29.....3...9.8....8..7..1.......7. initial
Autosolve
position: 98.7..6..7...8..5...4....8769...87...4763......297....37..9.8....8..7..1..98...7. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for C2,C7: 6..:
* DIS # C7: 6 # G8: 2,5 => CTR => G8: 3,4,9 * DIS # C7: 6 + G8: 3,4,9 # H8: 2,4 => CTR => H8: 3,6,9 * DIS # C7: 6 + G8: 3,4,9 + H8: 3,6,9 # I9: 2,4 => CTR => I9: 3,5,6 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for I2,I5: 9..:
* DIS # I5: 9 # B6: 1,5 => CTR => B6: 3 * PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL * STA # I5: 9 + B6: 3 + H4: 1,2 * CNT 2 HDP CHAINS / 8 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...8..5...4......69...87...4.63......29.....3...9.8....8..7..1.......7. | initial |
| 98.7..6..7...8..5...4....8769...87...4763......297....37..9.8....8..7..1..98...7. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,B6: 3.. / C4 = 3 => 3 pairs (_) / B6 = 3 => 1 pairs (_) D8,F9: 3.. / D8 = 3 => 0 pairs (_) / F9 = 3 => 2 pairs (_) A8,A9: 4.. / A8 = 4 => 0 pairs (_) / A9 = 4 => 1 pairs (_) H6,I6: 6.. / H6 = 6 => 1 pairs (_) / I6 = 6 => 1 pairs (_) C2,C7: 6.. / C2 = 6 => 1 pairs (_) / C7 = 6 => 3 pairs (_) A5,A6: 8.. / A5 = 8 => 2 pairs (_) / A6 = 8 => 1 pairs (_) I5,I6: 8.. / I5 = 8 => 1 pairs (_) / I6 = 8 => 2 pairs (_) A5,I5: 8.. / A5 = 8 => 2 pairs (_) / I5 = 8 => 1 pairs (_) A6,I6: 8.. / A6 = 8 => 1 pairs (_) / I6 = 8 => 2 pairs (_) F2,F3: 9.. / F2 = 9 => 3 pairs (_) / F3 = 9 => 0 pairs (_) G8,H8: 9.. / G8 = 9 => 0 pairs (_) / H8 = 9 => 1 pairs (_) F3,G3: 9.. / F3 = 9 => 0 pairs (_) / G3 = 9 => 3 pairs (_) H5,H8: 9.. / H5 = 9 => 0 pairs (_) / H8 = 9 => 1 pairs (_) I2,I5: 9.. / I2 = 9 => 0 pairs (_) / I5 = 9 => 3 pairs (_) * DURATION: 0:00:11.028324 START: 08:15:29.998505 END: 08:15:41.026829 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C2,C7: 6.. / C2 = 6 ==> 1 pairs (_) / C7 = 6 ==> 3 pairs (_) C4,B6: 3.. / C4 = 3 ==> 3 pairs (_) / B6 = 3 ==> 1 pairs (_) I2,I5: 9.. / I2 = 9 => 0 pairs (X) / I5 = 9 ==> 0 pairs (*) * DURATION: 0:01:02.816435 START: 08:15:41.027717 END: 08:16:43.844152 2020-09-23 * REASONING C2,C7: 6.. * DIS # C7: 6 # G8: 2,5 => CTR => G8: 3,4,9 * DIS # C7: 6 + G8: 3,4,9 # H8: 2,4 => CTR => H8: 3,6,9 * DIS # C7: 6 + G8: 3,4,9 + H8: 3,6,9 # I9: 2,4 => CTR => I9: 3,5,6 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING I2,I5: 9.. * DIS # I5: 9 # B6: 1,5 => CTR => B6: 3 * PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL * STA # I5: 9 + B6: 3 + H4: 1,2 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2123983;2018_12_01;PAQ;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,C7: 6..:
* INC # C7: 6 # C1: 1,3 => UNS * INC # C7: 6 # B2: 1,3 => UNS * INC # C7: 6 # B3: 1,3 => UNS * INC # C7: 6 # D2: 1,3 => UNS * INC # C7: 6 # F2: 1,3 => UNS * INC # C7: 6 # G2: 1,3 => UNS * INC # C7: 6 # C4: 1,3 => UNS * INC # C7: 6 # C4: 5 => UNS * INC # C7: 6 # A8: 2,5 => UNS * INC # C7: 6 # A9: 2,5 => UNS * INC # C7: 6 # B9: 2,5 => UNS * INC # C7: 6 # D8: 2,5 => UNS * INC # C7: 6 # E8: 2,5 => UNS * DIS # C7: 6 # G8: 2,5 => CTR => G8: 3,4,9 * INC # C7: 6 + G8: 3,4,9 # B3: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # B3: 1,3,6 => UNS * INC # C7: 6 + G8: 3,4,9 # A8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # A9: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # B9: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # D8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # E8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # B3: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 # B3: 1,3,6 => UNS * INC # C7: 6 + G8: 3,4,9 # I7: 2,4 => UNS * DIS # C7: 6 + G8: 3,4,9 # H8: 2,4 => CTR => H8: 3,6,9 * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 # G9: 2,4 => UNS * DIS # C7: 6 + G8: 3,4,9 + H8: 3,6,9 # I9: 2,4 => CTR => I9: 3,5,6 * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # D7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # F7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H1: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H4: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # I7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # G9: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # D7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # F7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H1: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H4: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # C1: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # B2: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # B3: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # D2: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # F2: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # G2: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # C4: 1,3 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # C4: 5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # A8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # A9: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # B9: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # D8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # E8: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # B3: 2,5 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # B3: 1,3,6 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # I7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # G9: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # D7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # F7: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H1: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 # H4: 2,4 => UNS * INC # C7: 6 + G8: 3,4,9 + H8: 3,6,9 + I9: 3,5,6 => UNS * INC # C2: 6 # A9: 1,5 => UNS * INC # C2: 6 # B9: 1,5 => UNS * INC # C2: 6 # D7: 1,5 => UNS * INC # C2: 6 # F7: 1,5 => UNS * INC # C2: 6 # C1: 1,5 => UNS * INC # C2: 6 # C4: 1,5 => UNS * INC # C2: 6 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for C4,B6: 3..:
* INC # C4: 3 # A3: 1,5 => UNS * INC # C4: 3 # B3: 1,5 => UNS * INC # C4: 3 # E1: 1,5 => UNS * INC # C4: 3 # F1: 1,5 => UNS * INC # C4: 3 # C7: 1,5 => UNS * INC # C4: 3 # C7: 6 => UNS * INC # C4: 3 # B2: 1,6 => UNS * INC # C4: 3 # B3: 1,6 => UNS * INC # C4: 3 # F2: 1,6 => UNS * INC # C4: 3 # F2: 2,3,4,9 => UNS * INC # C4: 3 # C7: 1,6 => UNS * INC # C4: 3 # C7: 5 => UNS * INC # C4: 3 # A5: 1,5 => UNS * INC # C4: 3 # A6: 1,5 => UNS * INC # C4: 3 # F6: 1,5 => UNS * INC # C4: 3 # G6: 1,5 => UNS * INC # C4: 3 # B3: 1,5 => UNS * INC # C4: 3 # B9: 1,5 => UNS * INC # C4: 3 => UNS * INC # B6: 3 # A5: 1,5 => UNS * INC # B6: 3 # A6: 1,5 => UNS * INC # B6: 3 # D4: 1,5 => UNS * INC # B6: 3 # E4: 1,5 => UNS * INC # B6: 3 # C1: 1,5 => UNS * INC # B6: 3 # C7: 1,5 => UNS * INC # B6: 3 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for I2,I5: 9..:
* INC # I5: 9 # C4: 1,5 => UNS * DIS # I5: 9 # B6: 1,5 => CTR => B6: 3 * INC # I5: 9 + B6: 3 # F6: 1,5 => UNS * INC # I5: 9 + B6: 3 # G6: 1,5 => UNS * INC # I5: 9 + B6: 3 # A3: 1,5 => UNS * INC # I5: 9 + B6: 3 # A9: 1,5 => UNS * PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL * STA # I5: 9 + B6: 3 + H4: 1,2 * CNT 7 HDP CHAINS / 8 HYP OPENED