Analysis of xx-ph-00025936-KC40b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75.....8...6......4...3.5....58...6......4..2.1...23....79...5.....7...1 initial
Autosolve
position: 98.7..6..75.....8...6......4...3.5....58...6......4..2.1...23....79...5.....7...1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for C4,I4: 8..:
* DIS # C4: 8 # A6: 1,3 => CTR => A6: 6 * DIS # C4: 8 + A6: 6 # A5: 2 => CTR => A5: 1,3 * DIS # C4: 8 + A6: 6 + A5: 1,3 # H6: 9 => CTR => H6: 1,3 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # H3: 1,9 => CTR => H3: 2,3,4 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 # G5: 7,9 => CTR => G5: 1,4 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 # I5: 7,9 => CTR => I5: 3,4 * PRF # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 # G2: 2,4 => SOL * STA # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 + G2: 2,4 * CNT 7 HDP CHAINS / 21 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.....8...6......4...3.5....58...6......4..2.1...23....79...5.....7...1 | initial |
| 98.7..6..75.....8...6......4...3.5....58...6......4..2.1...23....79...5.....7...1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E8,F8: 1.. / E8 = 1 => 1 pairs (_) / F8 = 1 => 2 pairs (_) D4,E5: 2.. / D4 = 2 => 1 pairs (_) / E5 = 2 => 2 pairs (_) I5,H6: 3.. / I5 = 3 => 4 pairs (_) / H6 = 3 => 0 pairs (_) G5,I5: 4.. / G5 = 4 => 1 pairs (_) / I5 = 4 => 3 pairs (_) I1,I3: 5.. / I1 = 5 => 1 pairs (_) / I3 = 5 => 1 pairs (_) D6,E6: 5.. / D6 = 5 => 1 pairs (_) / E6 = 5 => 1 pairs (_) A7,A9: 5.. / A7 = 5 => 1 pairs (_) / A9 = 5 => 1 pairs (_) I7,I8: 6.. / I7 = 6 => 4 pairs (_) / I8 = 6 => 0 pairs (_) F4,F5: 7.. / F4 = 7 => 3 pairs (_) / F5 = 7 => 0 pairs (_) H7,I7: 7.. / H7 = 7 => 1 pairs (_) / I7 = 7 => 1 pairs (_) E3,F3: 8.. / E3 = 8 => 0 pairs (_) / F3 = 8 => 0 pairs (_) I4,G6: 8.. / I4 = 8 => 1 pairs (_) / G6 = 8 => 6 pairs (_) C4,I4: 8.. / C4 = 8 => 6 pairs (_) / I4 = 8 => 1 pairs (_) * DURATION: 0:00:07.617355 START: 21:48:37.193494 END: 21:48:44.810849 2020-12-08 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,I4: 8.. / C4 = 8 ==> 0 pairs (*) / I4 = 8 => 0 pairs (X) * DURATION: 0:00:21.590074 START: 21:48:44.811439 END: 21:49:06.401513 2020-12-08 * REASONING C4,I4: 8.. * DIS # C4: 8 # A6: 1,3 => CTR => A6: 6 * DIS # C4: 8 + A6: 6 # A5: 2 => CTR => A5: 1,3 * DIS # C4: 8 + A6: 6 + A5: 1,3 # H6: 9 => CTR => H6: 1,3 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # H3: 1,9 => CTR => H3: 2,3,4 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 # G5: 7,9 => CTR => G5: 1,4 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 # I5: 7,9 => CTR => I5: 3,4 * PRF # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 # G2: 2,4 => SOL * STA # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 + G2: 2,4 * CNT 7 HDP CHAINS / 21 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
25936;KC40b;GP;24;11.30;11.30;9.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C4,I4: 8..:
* INC # C4: 8 # A5: 1,3 => UNS * DIS # C4: 8 # A6: 1,3 => CTR => A6: 6 * INC # C4: 8 + A6: 6 # A5: 1,3 => UNS * DIS # C4: 8 + A6: 6 # A5: 2 => CTR => A5: 1,3 * INC # C4: 8 + A6: 6 + A5: 1,3 # H6: 1,3 => UNS * DIS # C4: 8 + A6: 6 + A5: 1,3 # H6: 9 => CTR => H6: 1,3 * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # C1: 1,3 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # C2: 1,3 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # C1: 1,3 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # C2: 1,3 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # G5: 1,9 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # G5: 4,7 => UNS * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 # H3: 1,9 => CTR => H3: 2,3,4 * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 # G5: 1,9 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 # G5: 4,7 => UNS * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 # G5: 7,9 => CTR => G5: 1,4 * DIS # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 # I5: 7,9 => CTR => I5: 3,4 * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 # E7: 6,8 => UNS * INC # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 # E7: 4,5 => UNS * PRF # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 # G2: 2,4 => SOL * STA # C4: 8 + A6: 6 + A5: 1,3 + H6: 1,3 + H3: 2,3,4 + G5: 1,4 + I5: 3,4 + G2: 2,4 * CNT 20 HDP CHAINS / 21 HYP OPENED