Analysis of xx-ph-00027862-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....7....7.85...4...5..3...86..5.......2..1..95..8......3..2......1..4 initial
Autosolve
position: 98.7.....6.....7....7.85...4...5..3...86..5.......2..1..95..8......3..2......1..4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I2,I4: 8..:
* DIS # I4: 8 # D2: 1,9 => CTR => D2: 2,3,4 * DIS # I4: 8 + D2: 2,3,4 # D3: 1,9 => CTR => D3: 2,3,4 * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # B4: 2,6 => CTR => B4: 7,9 * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # F7: 7 => CTR => F7: 4,6 * PRF # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # E1: 6 => SOL * STA # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 + E1: 6 * CNT 5 HDP CHAINS / 25 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.....7....7.85...4...5..3...86..5.......2..1..95..8......3..2......1..4 | initial |
| 98.7.....6.....7....7.85...4...5..3...86..5.......2..1..95..8......3..2......1..4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 1 pairs (_) / E5 = 1 => 1 pairs (_) H7,G8: 1.. / H7 = 1 => 2 pairs (_) / G8 = 1 => 1 pairs (_) F5,D6: 3.. / F5 = 3 => 2 pairs (_) / D6 = 3 => 2 pairs (_) I7,G9: 3.. / I7 = 3 => 2 pairs (_) / G9 = 3 => 1 pairs (_) I8,H9: 5.. / I8 = 5 => 1 pairs (_) / H9 = 5 => 1 pairs (_) E1,F1: 6.. / E1 = 6 => 1 pairs (_) / F1 = 6 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 6 pairs (_) / I2 = 8 => 0 pairs (_) I4,H6: 8.. / I4 = 8 => 6 pairs (_) / H6 = 8 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 2 pairs (_) / A9 = 8 => 1 pairs (_) D6,H6: 8.. / D6 = 8 => 6 pairs (_) / H6 = 8 => 0 pairs (_) A9,D9: 8.. / A9 = 8 => 1 pairs (_) / D9 = 8 => 2 pairs (_) F4,F8: 8.. / F4 = 8 => 1 pairs (_) / F8 = 8 => 3 pairs (_) H2,H6: 8.. / H2 = 8 => 6 pairs (_) / H6 = 8 => 0 pairs (_) I2,I4: 8.. / I2 = 8 => 0 pairs (_) / I4 = 8 => 6 pairs (_) * DURATION: 0:00:08.853765 START: 16:31:33.308585 END: 16:31:42.162350 2020-12-09 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I2,I4: 8.. / I2 = 8 => 0 pairs (X) / I4 = 8 ==> 0 pairs (*) * DURATION: 0:00:22.798959 START: 16:31:42.162931 END: 16:32:04.961890 2020-12-09 * REASONING I2,I4: 8.. * DIS # I4: 8 # D2: 1,9 => CTR => D2: 2,3,4 * DIS # I4: 8 + D2: 2,3,4 # D3: 1,9 => CTR => D3: 2,3,4 * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # B4: 2,6 => CTR => B4: 7,9 * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # F7: 7 => CTR => F7: 4,6 * PRF # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # E1: 6 => SOL * STA # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 + E1: 6 * CNT 5 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
27862;2011_12;GP;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I2,I4: 8..:
* INC # I4: 8 # F7: 4,6 => UNS * INC # I4: 8 # F7: 7 => UNS * INC # I4: 8 # D2: 4,9 => UNS * INC # I4: 8 # D3: 4,9 => UNS * INC # I4: 8 # E5: 1,9 => UNS * INC # I4: 8 # E5: 4,7 => UNS * INC # I4: 8 # B4: 1,9 => UNS * INC # I4: 8 # B4: 2,6,7 => UNS * DIS # I4: 8 # D2: 1,9 => CTR => D2: 2,3,4 * DIS # I4: 8 + D2: 2,3,4 # D3: 1,9 => CTR => D3: 2,3,4 * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # E5: 7,9 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # E6: 7,9 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # B4: 7,9 => UNS * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 # B4: 2,6 => CTR => B4: 7,9 * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # E5: 7,9 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # E6: 7,9 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # F7: 4,6 => UNS * DIS # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 # F7: 7 => CTR => F7: 4,6 * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # C9: 2,6 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # C9: 3,5 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # G3: 2,6 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # G3: 1,3,4,9 => UNS * INC # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # E1: 1,2 => UNS * PRF # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 # E1: 6 => SOL * STA # I4: 8 + D2: 2,3,4 + D3: 2,3,4 + B4: 7,9 + F7: 4,6 + E1: 6 * CNT 24 HDP CHAINS / 25 HYP OPENED