Analysis of xx-ph-02210356-2018_12_06-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....5.7..48...3.5.....4.5...7...9.....8.....4...2..6.5.4.....4....8.....8.1. initial
Autosolve
position: 98.76....5.7..48...3.58....4.58..7...9.....84..8.4...28.6.5.4...5.4....8.4...8.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B6,B7: 7..:
* DIS # B7: 7 # G9: 2,3 => CTR => G9: 5,6,9 * DIS # B7: 7 + G9: 5,6,9 # H8: 3,9 => CTR => H8: 2,6,7 * DIS # B7: 7 + G9: 5,6,9 + H8: 2,6,7 # I9: 3,9 => CTR => I9: 5,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for H1,H6: 5..:
* DIS # H1: 5 # A3: 1,2 => CTR => A3: 6 * PRF # H1: 5 + A3: 6 # I2: 1,3 => SOL * STA # H1: 5 + A3: 6 + I2: 1,3 * 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.....4.5...7...9.....8.....4...2..6.5.4.....4....8.....8.1. | initial |
| 98.76....5.7..48...3.58....4.58..7...9.....84..8.4...28.6.5.4...5.4....8.4...8.1. | 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 (_) F5,F6: 5.. / F5 = 5 => 0 pairs (_) / F6 = 5 => 3 pairs (_) G9,I9: 5.. / G9 = 5 => 0 pairs (_) / I9 = 5 => 1 pairs (_) F5,G5: 5.. / F5 = 5 => 0 pairs (_) / G5 = 5 => 3 pairs (_) H1,H6: 5.. / H1 = 5 => 3 pairs (_) / H6 = 5 => 0 pairs (_) I1,I9: 5.. / I1 = 5 => 0 pairs (_) / I9 = 5 => 1 pairs (_) B2,A3: 6.. / B2 = 6 => 3 pairs (_) / A3 = 6 => 1 pairs (_) F8,D9: 6.. / F8 = 6 => 2 pairs (_) / D9 = 6 => 0 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) B6,B7: 7.. / B6 = 7 => 1 pairs (_) / B7 = 7 => 3 pairs (_) C8,C9: 9.. / C8 = 9 => 1 pairs (_) / C9 = 9 => 0 pairs (_) * DURATION: 0:00:11.220069 START: 20:57:58.192450 END: 20:58:09.412519 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B6,B7: 7.. / B6 = 7 ==> 1 pairs (_) / B7 = 7 ==> 3 pairs (_) B2,A3: 6.. / B2 = 6 ==> 3 pairs (_) / A3 = 6 ==> 1 pairs (_) H1,H6: 5.. / H1 = 5 ==> 0 pairs (*) / H6 = 5 => 0 pairs (X) * DURATION: 0:01:01.822479 START: 20:58:09.413178 END: 20:59:11.235657 2020-09-23 * REASONING B6,B7: 7.. * DIS # B7: 7 # G9: 2,3 => CTR => G9: 5,6,9 * DIS # B7: 7 + G9: 5,6,9 # H8: 3,9 => CTR => H8: 2,6,7 * DIS # B7: 7 + G9: 5,6,9 + H8: 2,6,7 # I9: 3,9 => CTR => I9: 5,6,7 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING H1,H6: 5.. * DIS # H1: 5 # A3: 1,2 => CTR => A3: 6 * PRF # H1: 5 + A3: 6 # I2: 1,3 => SOL * STA # H1: 5 + A3: 6 + I2: 1,3 * CNT 2 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2210356;2018_12_06;PAQ;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,B7: 7..:
* INC # B7: 7 # B4: 1,6 => UNS * INC # B7: 7 # A5: 1,6 => UNS * INC # B7: 7 # A6: 1,6 => UNS * INC # B7: 7 # D6: 1,6 => UNS * INC # B7: 7 # F6: 1,6 => UNS * INC # B7: 7 # G6: 1,6 => UNS * INC # B7: 7 # B2: 1,6 => UNS * INC # B7: 7 # B2: 2 => UNS * INC # B7: 7 # A8: 2,3 => UNS * INC # B7: 7 # C8: 2,3 => UNS * INC # B7: 7 # C9: 2,3 => UNS * INC # B7: 7 # D9: 2,3 => UNS * INC # B7: 7 # E9: 2,3 => UNS * DIS # B7: 7 # G9: 2,3 => CTR => G9: 5,6,9 * INC # B7: 7 + G9: 5,6,9 # A5: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # A5: 1,6,7 => UNS * INC # B7: 7 + G9: 5,6,9 # A8: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # C8: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # C9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # D9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # E9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # A5: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 # A5: 1,6,7 => UNS * INC # B7: 7 + G9: 5,6,9 # H7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 # G8: 3,9 => UNS * DIS # B7: 7 + G9: 5,6,9 # H8: 3,9 => CTR => H8: 2,6,7 * DIS # B7: 7 + G9: 5,6,9 + H8: 2,6,7 # I9: 3,9 => CTR => I9: 5,6,7 * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # D7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # F7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I2: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I4: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # H7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # G8: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # D7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # F7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I2: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I4: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # B4: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # A5: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # A6: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # D6: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # F6: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # G6: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # B2: 1,6 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # B2: 2 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # A8: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # C8: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # C9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # D9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # E9: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # A5: 2,3 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # A5: 1,6,7 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # H7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # G8: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # D7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # F7: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I2: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 # I4: 3,9 => UNS * INC # B7: 7 + G9: 5,6,9 + H8: 2,6,7 + I9: 5,6,7 => UNS * INC # B6: 7 # A8: 1,2 => UNS * INC # B6: 7 # C8: 1,2 => UNS * INC # B6: 7 # D7: 1,2 => UNS * INC # B6: 7 # F7: 1,2 => UNS * INC # B6: 7 # B2: 1,2 => UNS * INC # B6: 7 # B4: 1,2 => UNS * INC # B6: 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 # A5: 1,2 => UNS * INC # B2: 6 # A8: 1,2 => UNS * INC # B2: 6 # A5: 1,2 => UNS * INC # B2: 6 # C5: 1,2 => UNS * INC # B2: 6 # E4: 1,2 => UNS * INC # B2: 6 # F4: 1,2 => UNS * INC # B2: 6 # B7: 1,2 => UNS * INC # B2: 6 # B7: 7 => UNS * INC # B2: 6 # A5: 1,7 => UNS * INC # B2: 6 # A6: 1,7 => UNS * INC # B2: 6 # F6: 1,7 => UNS * INC # B2: 6 # F6: 3,5,6,9 => UNS * INC # B2: 6 # B7: 1,7 => UNS * INC # B2: 6 # B7: 2 => 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 # B7: 1,2 => UNS * INC # A3: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for H1,H6: 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 # C5: 1,2 => UNS * INC # H1: 5 + A3: 6 # C8: 1,2 => UNS * INC # H1: 5 + A3: 6 # G1: 1,3 => UNS * PRF # H1: 5 + A3: 6 # I2: 1,3 => SOL * STA # H1: 5 + A3: 6 + I2: 1,3 * CNT 8 HDP CHAINS / 9 HYP OPENED