Analysis of xx-ph-02487737-2019_08_05_a-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5.7.............7.6...4.9...4...9.8....6....32...1.....9.4..3...6.9..8.. initial
Autosolve
position: 98.7..6..5.7........6....7.6...4.9...4...9.86..96....32...1.....9.4..3...6.9..8.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A6,A8: 8..:
* DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * CNT 1 HDP CHAINS / 41 HYP OPENED
List of important HDP chains detected for C4,A6: 8..:
* DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * CNT 1 HDP CHAINS / 41 HYP OPENED
List of important HDP chains detected for A3,A9: 4..:
* DIS # A9: 4 # A5: 7 => CTR => A5: 1,3 * CNT 1 HDP CHAINS / 32 HYP OPENED
List of important HDP chains detected for G6,H6: 4..:
* DIS # G6: 4 # H1: 1,2 => CTR => H1: 3,4,5 * DIS # G6: 4 + H1: 3,4,5 # H2: 1,2 => CTR => H2: 3,4,9 * DIS # G6: 4 + H1: 3,4,5 + H2: 3,4,9 # I2: 1,2 => CTR => I2: 4,8,9 * PRF # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 # I3: 1,2 => SOL * STA # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 + I3: 1,2 * CNT 4 HDP CHAINS / 7 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..5.7.............7.6...4.9...4...9.8....6....32...1.....9.4..3...6.9..8.. | initial |
| 98.7..6..5.7........6....7.6...4.9...4...9.86..96....32...1.....9.4..3...6.9..8.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 3.. / H1 = 3 => 1 pairs (_) / H2 = 3 => 1 pairs (_) C1,A3: 4.. / C1 = 4 => 2 pairs (_) / A3 = 4 => 0 pairs (_) G6,H6: 4.. / G6 = 4 => 2 pairs (_) / H6 = 4 => 0 pairs (_) A3,A9: 4.. / A3 = 4 => 0 pairs (_) / A9 = 4 => 2 pairs (_) E2,F2: 6.. / E2 = 6 => 0 pairs (_) / F2 = 6 => 1 pairs (_) H7,H8: 6.. / H7 = 6 => 1 pairs (_) / H8 = 6 => 0 pairs (_) F7,H7: 6.. / F7 = 6 => 0 pairs (_) / H7 = 6 => 1 pairs (_) E2,E8: 6.. / E2 = 6 => 0 pairs (_) / E8 = 6 => 1 pairs (_) I2,I3: 8.. / I2 = 8 => 0 pairs (_) / I3 = 8 => 0 pairs (_) C4,A6: 8.. / C4 = 8 => 2 pairs (_) / A6 = 8 => 3 pairs (_) A6,A8: 8.. / A6 = 8 => 3 pairs (_) / A8 = 8 => 2 pairs (_) E2,E3: 9.. / E2 = 9 => 0 pairs (X) / E3 = 9 => 0 pairs (_) H7,I7: 9.. / H7 = 9 => 0 pairs (_) / I7 = 9 => 1 pairs (_) E3,I3: 9.. / E3 = 9 => 0 pairs (_) / I3 = 9 => 0 pairs (X) H2,H7: 9.. / H2 = 9 => 1 pairs (_) / H7 = 9 => 0 pairs (_) * DURATION: 0:00:10.358268 START: 08:50:21.383364 END: 08:50:31.741632 2020-11-15 * CP COUNT: (15) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A6,A8: 8.. / A6 = 8 ==> 3 pairs (_) / A8 = 8 ==> 2 pairs (_) C4,A6: 8.. / C4 = 8 ==> 2 pairs (_) / A6 = 8 ==> 3 pairs (_) A3,A9: 4.. / A3 = 4 ==> 0 pairs (_) / A9 = 4 ==> 5 pairs (_) G6,H6: 4.. / G6 = 4 ==> 0 pairs (*) / H6 = 4 => 0 pairs (X) * DURATION: 0:01:06.839807 START: 08:50:31.742255 END: 08:51:38.582062 2020-11-15 * REASONING A6,A8: 8.. * DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * CNT 1 HDP CHAINS / 41 HYP OPENED * REASONING C4,A6: 8.. * DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * CNT 1 HDP CHAINS / 41 HYP OPENED * REASONING A3,A9: 4.. * DIS # A9: 4 # A5: 7 => CTR => A5: 1,3 * CNT 1 HDP CHAINS / 32 HYP OPENED * REASONING G6,H6: 4.. * DIS # G6: 4 # H1: 1,2 => CTR => H1: 3,4,5 * DIS # G6: 4 + H1: 3,4,5 # H2: 1,2 => CTR => H2: 3,4,9 * DIS # G6: 4 + H1: 3,4,5 + H2: 3,4,9 # I2: 1,2 => CTR => I2: 4,8,9 * PRF # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 # I3: 1,2 => SOL * STA # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 + I3: 1,2 * CNT 4 HDP CHAINS / 7 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
2487737;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 A6,A8: 8..:
* INC # A6: 8 # E2: 8,9 => UNS * INC # A6: 8 # E2: 6 => UNS * INC # A6: 8 # I3: 8,9 => UNS * INC # A6: 8 # I3: 1,2,4,5 => UNS * INC # A6: 8 # A9: 1,7 => UNS * INC # A6: 8 # A9: 3,4 => UNS * INC # A6: 8 # I8: 1,7 => UNS * INC # A6: 8 # I8: 2,5 => UNS * INC # A6: 8 # A5: 1,7 => UNS * INC # A6: 8 # A5: 3 => UNS * INC # A6: 8 # F7: 6,8 => UNS * INC # A6: 8 # F8: 6,8 => UNS * INC # A6: 8 # E2: 6,8 => UNS * DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * INC # A6: 8 + E2: 6,8 # F7: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F8: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F2: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F2: 1,2,3,4 => UNS * INC # A6: 8 + E2: 6,8 # A9: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # A9: 3,4 => UNS * INC # A6: 8 + E2: 6,8 # I8: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # I8: 2,5 => UNS * INC # A6: 8 + E2: 6,8 # A5: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # A5: 3 => UNS * INC # A6: 8 + E2: 6,8 # F7: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F8: 6,8 => UNS * INC # A6: 8 + E2: 6,8 => UNS * INC # A8: 8 # B4: 1,7 => UNS * INC # A8: 8 # A5: 1,7 => UNS * INC # A8: 8 # B6: 1,7 => UNS * INC # A8: 8 # F6: 1,7 => UNS * INC # A8: 8 # G6: 1,7 => UNS * INC # A8: 8 # A9: 1,7 => UNS * INC # A8: 8 # A9: 3,4 => UNS * INC # A8: 8 # C9: 1,5 => UNS * INC # A8: 8 # C9: 3,4 => UNS * INC # A8: 8 # H8: 1,5 => UNS * INC # A8: 8 # I8: 1,5 => UNS * INC # A8: 8 # C5: 1,5 => UNS * INC # A8: 8 # C5: 2,3 => UNS * INC # A8: 8 => UNS * CNT 41 HDP CHAINS / 41 HYP OPENED
Full list of HDP chains traversed for C4,A6: 8..:
* INC # A6: 8 # E2: 8,9 => UNS * INC # A6: 8 # E2: 6 => UNS * INC # A6: 8 # I3: 8,9 => UNS * INC # A6: 8 # I3: 1,2,4,5 => UNS * INC # A6: 8 # A9: 1,7 => UNS * INC # A6: 8 # A9: 3,4 => UNS * INC # A6: 8 # I8: 1,7 => UNS * INC # A6: 8 # I8: 2,5 => UNS * INC # A6: 8 # A5: 1,7 => UNS * INC # A6: 8 # A5: 3 => UNS * INC # A6: 8 # F7: 6,8 => UNS * INC # A6: 8 # F8: 6,8 => UNS * INC # A6: 8 # E2: 6,8 => UNS * DIS # A6: 8 # E2: 9 => CTR => E2: 6,8 * INC # A6: 8 + E2: 6,8 # F7: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F8: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F2: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F2: 1,2,3,4 => UNS * INC # A6: 8 + E2: 6,8 # A9: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # A9: 3,4 => UNS * INC # A6: 8 + E2: 6,8 # I8: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # I8: 2,5 => UNS * INC # A6: 8 + E2: 6,8 # A5: 1,7 => UNS * INC # A6: 8 + E2: 6,8 # A5: 3 => UNS * INC # A6: 8 + E2: 6,8 # F7: 6,8 => UNS * INC # A6: 8 + E2: 6,8 # F8: 6,8 => UNS * INC # A6: 8 + E2: 6,8 => UNS * INC # C4: 8 # B4: 1,7 => UNS * INC # C4: 8 # A5: 1,7 => UNS * INC # C4: 8 # B6: 1,7 => UNS * INC # C4: 8 # F6: 1,7 => UNS * INC # C4: 8 # G6: 1,7 => UNS * INC # C4: 8 # A9: 1,7 => UNS * INC # C4: 8 # A9: 3,4 => UNS * INC # C4: 8 # C9: 1,5 => UNS * INC # C4: 8 # C9: 3,4 => UNS * INC # C4: 8 # H8: 1,5 => UNS * INC # C4: 8 # I8: 1,5 => UNS * INC # C4: 8 # C5: 1,5 => UNS * INC # C4: 8 # C5: 2,3 => UNS * INC # C4: 8 => UNS * CNT 41 HDP CHAINS / 41 HYP OPENED
Full list of HDP chains traversed for A3,A9: 4..:
* INC # A9: 4 # B2: 1,3 => UNS * INC # A9: 4 # B3: 1,3 => UNS * INC # A9: 4 # D3: 1,3 => UNS * INC # A9: 4 # F3: 1,3 => UNS * INC # A9: 4 # A5: 1,3 => UNS * DIS # A9: 4 # A5: 7 => CTR => A5: 1,3 * INC # A9: 4 + A5: 1,3 # B2: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # B3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # D3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # F3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # H7: 4,9 => UNS * INC # A9: 4 + A5: 1,3 # H7: 5,6 => UNS * INC # A9: 4 + A5: 1,3 # I2: 4,9 => UNS * INC # A9: 4 + A5: 1,3 # I3: 4,9 => UNS * INC # A9: 4 + A5: 1,3 # B2: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # B3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # D3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # F3: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # B4: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # B4: 5,7 => UNS * INC # A9: 4 + A5: 1,3 # D5: 1,3 => UNS * INC # A9: 4 + A5: 1,3 # D5: 2,5 => UNS * INC # A9: 4 + A5: 1,3 # E6: 7,8 => UNS * INC # A9: 4 + A5: 1,3 # F6: 7,8 => UNS * INC # A9: 4 + A5: 1,3 # E8: 7,8 => UNS * INC # A9: 4 + A5: 1,3 # F8: 7,8 => UNS * INC # A9: 4 + A5: 1,3 # H7: 4,9 => UNS * INC # A9: 4 + A5: 1,3 # H7: 5,6 => UNS * INC # A9: 4 + A5: 1,3 # I2: 4,9 => UNS * INC # A9: 4 + A5: 1,3 # I3: 4,9 => UNS * INC # A9: 4 + A5: 1,3 => UNS * INC # A3: 4 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for G6,H6: 4..:
* DIS # G6: 4 # H1: 1,2 => CTR => H1: 3,4,5 * INC # G6: 4 + H1: 3,4,5 # I1: 1,2 => UNS * DIS # G6: 4 + H1: 3,4,5 # H2: 1,2 => CTR => H2: 3,4,9 * DIS # G6: 4 + H1: 3,4,5 + H2: 3,4,9 # I2: 1,2 => CTR => I2: 4,8,9 * INC # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 # G3: 1,2 => UNS * PRF # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 # I3: 1,2 => SOL * STA # G6: 4 + H1: 3,4,5 + H2: 3,4,9 + I2: 4,8,9 + I3: 1,2 * CNT 6 HDP CHAINS / 7 HYP OPENED