Analysis of xx-ph-02123993-2018_12_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....5.7..48...3.5.....8.6.5.4...4...8.2...........9.....84..5...7......4...1 initial
Autosolve
position: 98.76....5.7..48...3.58....8.6.5.4...4...8.2..5.4....8.9.....844.58..7....8.4...1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B4,B9: 7..:
* DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9 * DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7 * DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for H1,H9: 5..:
* DIS # H1: 5 # A3: 1,2 => CTR => A3: 6 * PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL * STA # H1: 5 + A3: 6 + I2: 2,3 * CNT 2 HDP CHAINS / 9 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
| 98.76....5.7..48...3.5.....8.6.5.4...4...8.2...........9.....84..5...7......4...1 | initial |
| 98.76....5.7..48...3.58....8.6.5.4...4...8.2..5.4....8.9.....844.58..7....8.4...1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C3: 4.. / C1 = 4 => 2 pairs (_) / C3 = 4 => 1 pairs (_) H1,H3: 4.. / H1 = 4 => 1 pairs (_) / H3 = 4 => 2 pairs (_) C1,H1: 4.. / C1 = 4 => 2 pairs (_) / H1 = 4 => 1 pairs (_) C3,H3: 4.. / C3 = 4 => 1 pairs (_) / H3 = 4 => 2 pairs (_) G5,I5: 5.. / G5 = 5 => 0 pairs (_) / I5 = 5 => 1 pairs (_) F7,F9: 5.. / F7 = 5 => 0 pairs (_) / F9 = 5 => 3 pairs (_) F7,G7: 5.. / F7 = 5 => 0 pairs (_) / G7 = 5 => 3 pairs (_) H1,H9: 5.. / H1 = 5 => 3 pairs (_) / H9 = 5 => 0 pairs (_) I1,I5: 5.. / I1 = 5 => 0 pairs (_) / I5 = 5 => 1 pairs (_) B2,A3: 6.. / B2 = 6 => 3 pairs (_) / A3 = 6 => 1 pairs (_) D5,F6: 6.. / D5 = 6 => 0 pairs (_) / F6 = 6 => 2 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) B4,B9: 7.. / B4 = 7 => 3 pairs (_) / B9 = 7 => 1 pairs (_) C5,C6: 9.. / C5 = 9 => 0 pairs (_) / C6 = 9 => 1 pairs (_) * DURATION: 0:00:10.772847 START: 10:08:47.390620 END: 10:08:58.163467 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B4,B9: 7.. / B4 = 7 ==> 3 pairs (_) / B9 = 7 ==> 1 pairs (_) B2,A3: 6.. / B2 = 6 ==> 3 pairs (_) / A3 = 6 ==> 1 pairs (_) H1,H9: 5.. / H1 = 5 ==> 0 pairs (*) / H9 = 5 => 0 pairs (X) * DURATION: 0:01:02.060292 START: 10:08:58.164072 END: 10:10:00.224364 2020-09-23 * REASONING B4,B9: 7.. * DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9 * DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7 * DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING H1,H9: 5.. * DIS # H1: 5 # A3: 1,2 => CTR => A3: 6 * PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL * STA # H1: 5 + A3: 6 + I2: 2,3 * CNT 2 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2123993;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 B4,B9: 7..:
* INC # B4: 7 # C5: 1,3 => UNS * INC # B4: 7 # A6: 1,3 => UNS * INC # B4: 7 # C6: 1,3 => UNS * INC # B4: 7 # D5: 1,3 => UNS * INC # B4: 7 # E5: 1,3 => UNS * DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9 * INC # B4: 7 + G5: 5,6,9 # A7: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # A7: 2,6,7 => UNS * INC # B4: 7 + G5: 5,6,9 # C5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # A6: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # C6: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # D5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # E5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # A7: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 # A7: 2,6,7 => UNS * INC # B4: 7 + G5: 5,6,9 # H4: 3,9 => UNS * DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7 * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # G6: 3,9 => UNS * DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7 * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # H4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G6: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B8: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 1 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # C5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A6: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # C6: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # E5: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 1,3 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6,7 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # H4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G6: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B8: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G9: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 2,6 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 1 => UNS * INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 => UNS * INC # B9: 7 # A6: 1,2 => UNS * INC # B9: 7 # C6: 1,2 => UNS * INC # B9: 7 # D4: 1,2 => UNS * INC # B9: 7 # F4: 1,2 => UNS * INC # B9: 7 # B2: 1,2 => UNS * INC # B9: 7 # B8: 1,2 => UNS * INC # B9: 7 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for B2,A3: 6..:
* INC # B2: 6 # C1: 1,2 => UNS * INC # B2: 6 # C3: 1,2 => UNS * INC # B2: 6 # F3: 1,2 => UNS * INC # B2: 6 # G3: 1,2 => UNS * INC # B2: 6 # A6: 1,2 => UNS * INC # B2: 6 # A7: 1,2 => UNS * INC # B2: 6 # A7: 1,2 => UNS * INC # B2: 6 # C7: 1,2 => UNS * INC # B2: 6 # E8: 1,2 => UNS * INC # B2: 6 # F8: 1,2 => UNS * INC # B2: 6 # B4: 1,2 => UNS * INC # B2: 6 # B4: 7 => UNS * INC # B2: 6 # A7: 2,7 => UNS * INC # B2: 6 # A9: 2,7 => UNS * INC # B2: 6 # F9: 2,7 => UNS * INC # B2: 6 # F9: 3,5,6,9 => UNS * INC # B2: 6 # B4: 2,7 => UNS * INC # B2: 6 # B4: 1 => UNS * INC # B2: 6 => UNS * INC # A3: 6 # C1: 1,2 => UNS * INC # A3: 6 # C3: 1,2 => UNS * INC # A3: 6 # D2: 1,2 => UNS * INC # A3: 6 # E2: 1,2 => UNS * INC # A3: 6 # B4: 1,2 => UNS * INC # A3: 6 # B8: 1,2 => UNS * INC # A3: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for H1,H9: 5..:
* INC # H1: 5 # B2: 1,2 => UNS * DIS # H1: 5 # A3: 1,2 => CTR => A3: 6 * INC # H1: 5 + A3: 6 # F3: 1,2 => UNS * INC # H1: 5 + A3: 6 # G3: 1,2 => UNS * INC # H1: 5 + A3: 6 # C6: 1,2 => UNS * INC # H1: 5 + A3: 6 # C7: 1,2 => UNS * INC # H1: 5 + A3: 6 # G1: 2,3 => UNS * PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL * STA # H1: 5 + A3: 6 + I2: 2,3 * CNT 8 HDP CHAINS / 9 HYP OPENED