Analysis of xx-ph-00027201-KC40b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. initial
Autosolve
position: 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for D3,D9: 8..:
* DIS # D3: 8 # H1: 4,5 => CTR => H1: 3 * DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5 * STA D3: 1,2,5 * CNT 6 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for F8,D9: 8..:
* DIS # F8: 8 # H1: 4,5 => CTR => H1: 3 * DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9 * STA F8: 2,3,7,9 * CNT 6 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for H7,I9: 6..:
* DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8 * PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL * STA # I9: 6 + H5: 6,7,8 + I1: 3,5 * 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
| 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. | initial |
| 98.7..6..75.4...9...3.9...75...8...9.3....2.......4.1..7..5...8...6..........1.2. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I2: 2.. / I1 = 2 => 4 pairs (_) / I2 = 2 => 1 pairs (_) E8,E9: 4.. / E8 = 4 => 1 pairs (_) / E9 = 4 => 2 pairs (_) C8,C9: 5.. / C8 = 5 => 0 pairs (_) / C9 = 5 => 0 pairs (_) H7,I9: 6.. / H7 = 6 => 0 pairs (_) / I9 = 6 => 4 pairs (_) E9,G9: 7.. / E9 = 7 => 1 pairs (_) / G9 = 7 => 2 pairs (_) H5,G6: 8.. / H5 = 8 => 1 pairs (_) / G6 = 8 => 2 pairs (_) F8,D9: 8.. / F8 = 8 => 8 pairs (_) / D9 = 8 => 0 pairs (_) F2,G2: 8.. / F2 = 8 => 1 pairs (_) / G2 = 8 => 1 pairs (_) D3,D9: 8.. / D3 = 8 => 8 pairs (_) / D9 = 8 => 0 pairs (_) H3,H5: 8.. / H3 = 8 => 2 pairs (_) / H5 = 8 => 1 pairs (_) * DURATION: 0:00:06.034069 START: 09:43:36.182893 END: 09:43:42.216962 2020-12-09 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D3,D9: 8.. / D3 = 8 ==> 0 pairs (X) / D9 = 8 => 0 pairs (_) F8,D9: 8.. / F8 = 8 ==> 0 pairs (X) / D9 = 8 => 0 pairs (_) I1,I2: 2.. / I1 = 2 ==> 4 pairs (_) / I2 = 2 ==> 1 pairs (_) H7,I9: 6.. / H7 = 6 => 0 pairs (X) / I9 = 6 ==> 0 pairs (*) * DURATION: 0:00:32.474839 START: 09:43:42.217539 END: 09:44:14.692378 2020-12-09 * REASONING D3,D9: 8.. * DIS # D3: 8 # H1: 4,5 => CTR => H1: 3 * DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5 * STA D3: 1,2,5 * CNT 6 HDP CHAINS / 8 HYP OPENED * REASONING F8,D9: 8.. * DIS # F8: 8 # H1: 4,5 => CTR => H1: 3 * DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9 * STA F8: 2,3,7,9 * CNT 6 HDP CHAINS / 8 HYP OPENED * REASONING H7,I9: 6.. * DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8 * PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL * STA # I9: 6 + H5: 6,7,8 + I1: 3,5 * CNT 2 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
27201;KC40b;GP;24;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,D9: 8..:
* DIS # D3: 8 # H1: 4,5 => CTR => H1: 3 * DIS # D3: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # D3: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * INC # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 1,4 => UNS * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # D3: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => D3: 1,2,5 * INC D3: 1,2,5 # D9: 8 => UNS * STA D3: 1,2,5 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F8,D9: 8..:
* DIS # F8: 8 # H1: 4,5 => CTR => H1: 3 * DIS # F8: 8 + H1: 3 # I1: 4,5 => CTR => I1: 1,2 * DIS # F8: 8 + H1: 3 + I1: 1,2 # H8: 4,5 => CTR => H8: 7 * INC # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 1,4 => UNS * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 # B4: 2,6 => CTR => B4: 1,4 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 # D4: 2,3 => CTR => D4: 1 * DIS # F8: 8 + H1: 3 + I1: 1,2 + H8: 7 + B4: 1,4 + D4: 1 => CTR => F8: 2,3,7,9 * INC F8: 2,3,7,9 # D9: 8 => UNS * STA F8: 2,3,7,9 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I1,I2: 2..:
* INC # I1: 2 # A3: 1,4 => UNS * INC # I1: 2 # B3: 1,4 => UNS * INC # I1: 2 # C4: 1,4 => UNS * INC # I1: 2 # C5: 1,4 => UNS * INC # I1: 2 # C7: 1,4 => UNS * INC # I1: 2 # C8: 1,4 => UNS * INC # I1: 2 # E2: 1,3 => UNS * INC # I1: 2 # E2: 2,6 => UNS * INC # I1: 2 # H1: 3,5 => UNS * INC # I1: 2 # H1: 4 => UNS * INC # I1: 2 # G2: 1,3 => UNS * INC # I1: 2 # G2: 8 => UNS * INC # I1: 2 # E2: 1,3 => UNS * INC # I1: 2 # E2: 2,6 => UNS * INC # I1: 2 # I8: 1,3 => UNS * INC # I1: 2 # I8: 4,5 => UNS * INC # I1: 2 => UNS * INC # I2: 2 # A3: 1,6 => UNS * INC # I2: 2 # B3: 1,6 => UNS * INC # I2: 2 # E2: 1,6 => UNS * INC # I2: 2 # E2: 3 => UNS * INC # I2: 2 # C4: 1,6 => UNS * INC # I2: 2 # C5: 1,6 => UNS * INC # I2: 2 # C7: 1,6 => UNS * INC # I2: 2 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for H7,I9: 6..:
* DIS # I9: 6 # H5: 4,5 => CTR => H5: 6,7,8 * INC # I9: 6 + H5: 6,7,8 # I1: 4,5 => UNS * INC # I9: 6 + H5: 6,7,8 # I8: 4,5 => UNS * INC # I9: 6 + H5: 6,7,8 # G6: 3,5 => UNS * INC # I9: 6 + H5: 6,7,8 # G6: 7,8 => UNS * INC # I9: 6 + H5: 6,7,8 # D6: 3,5 => UNS * INC # I9: 6 + H5: 6,7,8 # D6: 2,9 => UNS * PRF # I9: 6 + H5: 6,7,8 # I1: 3,5 => SOL * STA # I9: 6 + H5: 6,7,8 + I1: 3,5 * CNT 8 HDP CHAINS / 9 HYP OPENED