Analysis of xx-ph-00028348-2011_12-base.sdk
Original Sudoku
level: deep
position: 98.7..6....5.9..4......3...5...8..2..482.......2.....1.5..2..9....1....7.....63.. initial
Autosolve
position: 98.7..6....5.9..4......3...5...8..2..482.......2.....1.5..2..9....1....7.....63.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:21.718635
The following important HDP chains were detected:
* DIS # D3: 6,8 # F1: 1,2 => CTR => F1: 4,5 * DIS # D3: 4,5 # F1: 4,5 => CTR => F1: 1,2 * CNT 2 HDP CHAINS / 44 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000014
List of important HDP chains detected for G8,I9: 2..:
* DIS # I9: 2 # D3: 6,8 => CTR => D3: 4,5 * DIS # I9: 2 + D3: 4,5 # G3: 2,7 => CTR => G3: 8,9 * DIS # I9: 2 + D3: 4,5 + G3: 8,9 # E5: 5,7 => CTR => E5: 1,3,6 * DIS # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 # E6: 3,6 => CTR => E6: 5,7 * PRF # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 # G8: 5,8 => SOL * STA # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 + G8: 5,8 * CNT 5 HDP CHAINS / 17 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....5.9..4......3...5...8..2..482.......2.....1.5..2..9....1....7.....63.. | initial |
| 98.7..6....5.9..4......3...5...8..2..482.......2.....1.5..2..9....1....7.....63.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D2: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,H9: 1.. / G7 = 1 => 2 pairs (_) / H9 = 1 => 3 pairs (_) F1,F2: 2.. / F1 = 2 => 3 pairs (_) / F2 = 2 => 3 pairs (_) G8,I9: 2.. / G8 = 2 => 1 pairs (_) / I9 = 2 => 4 pairs (_) F1,I1: 2.. / F1 = 2 => 3 pairs (_) / I1 = 2 => 3 pairs (_) D7,E8: 3.. / D7 = 3 => 2 pairs (_) / E8 = 3 => 2 pairs (_) I7,H8: 6.. / I7 = 6 => 2 pairs (_) / H8 = 6 => 2 pairs (_) F7,E9: 7.. / F7 = 7 => 2 pairs (_) / E9 = 7 => 2 pairs (_) G6,H6: 8.. / G6 = 8 => 2 pairs (_) / H6 = 8 => 3 pairs (_) G3,I3: 9.. / G3 = 9 => 3 pairs (_) / I3 = 9 => 1 pairs (_) F8,D9: 9.. / F8 = 9 => 2 pairs (_) / D9 = 9 => 1 pairs (_) * DURATION: 0:00:06.805521 START: 06:59:52.926770 END: 06:59:59.732291 2020-10-20 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G8,I9: 2.. / G8 = 2 => 0 pairs (X) / I9 = 2 ==> 0 pairs (*) * DURATION: 0:00:19.493937 START: 07:00:23.625195 END: 07:00:43.119132 2020-10-20 * REASONING G8,I9: 2.. * DIS # I9: 2 # D3: 6,8 => CTR => D3: 4,5 * DIS # I9: 2 + D3: 4,5 # G3: 2,7 => CTR => G3: 8,9 * DIS # I9: 2 + D3: 4,5 + G3: 8,9 # E5: 5,7 => CTR => E5: 1,3,6 * DIS # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 # E6: 3,6 => CTR => E6: 5,7 * PRF # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 # G8: 5,8 => SOL * STA # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 + G8: 5,8 * CNT 5 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
28348;2011_12;GP;23;11.40;11.40;10.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # D3: 6,8 => UNS * INC # D3: 4,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 6,8 => UNS * INC # D3: 4,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 6,8 => UNS * INC # D3: 4,5 => UNS * DIS # D3: 6,8 # F1: 1,2 => CTR => F1: 4,5 * INC # D3: 6,8 + F1: 4,5 # E8: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # E8: 5 => UNS * INC # D3: 6,8 + F1: 4,5 # A7: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # C7: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # D4: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # D6: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # E1: 4,5 => UNS * INC # D3: 6,8 + F1: 4,5 # E3: 4,5 => UNS * INC # D3: 6,8 + F1: 4,5 # F6: 4,5 => UNS * INC # D3: 6,8 + F1: 4,5 # F8: 4,5 => UNS * INC # D3: 6,8 + F1: 4,5 # E8: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # E8: 5 => UNS * INC # D3: 6,8 + F1: 4,5 # A7: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # C7: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # D4: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 # D6: 3,4 => UNS * INC # D3: 6,8 + F1: 4,5 => UNS * INC # D3: 4,5 # E1: 4,5 => UNS * DIS # D3: 4,5 # F1: 4,5 => CTR => F1: 1,2 * INC # D3: 4,5 + F1: 1,2 # E3: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D6: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D9: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # E1: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # E3: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D6: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D9: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # I1: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 # I1: 5 => UNS * INC # D3: 4,5 + F1: 1,2 # A2: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 # B2: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 # F2: 1,2 => UNS * INC # D3: 4,5 + F1: 1,2 # F2: 8 => UNS * INC # D3: 4,5 + F1: 1,2 # E1: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # E3: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D6: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # D9: 4,5 => UNS * INC # D3: 4,5 + F1: 1,2 # I1: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 # I1: 5 => UNS * INC # D3: 4,5 + F1: 1,2 # A2: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 # B2: 2,3 => UNS * INC # D3: 4,5 + F1: 1,2 => UNS * CNT 44 HDP CHAINS / 44 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G8,I9: 2..:
* DIS # I9: 2 # D3: 6,8 => CTR => D3: 4,5 * INC # I9: 2 + D3: 4,5 # A3: 1,6 => UNS * INC # I9: 2 + D3: 4,5 # B3: 1,6 => UNS * INC # I9: 2 + D3: 4,5 # C3: 1,6 => UNS * INC # I9: 2 + D3: 4,5 # E5: 1,6 => UNS * INC # I9: 2 + D3: 4,5 # E5: 3,5,7 => UNS * DIS # I9: 2 + D3: 4,5 # G3: 2,7 => CTR => G3: 8,9 * INC # I9: 2 + D3: 4,5 + G3: 8,9 # I4: 6,9 => UNS * INC # I9: 2 + D3: 4,5 + G3: 8,9 # I4: 4 => UNS * INC # I9: 2 + D3: 4,5 + G3: 8,9 # E5: 3,5 => UNS * INC # I9: 2 + D3: 4,5 + G3: 8,9 # E6: 3,5 => UNS * DIS # I9: 2 + D3: 4,5 + G3: 8,9 # E5: 5,7 => CTR => E5: 1,3,6 * INC # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 # E6: 5,7 => UNS * INC # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 # E6: 5,7 => UNS * DIS # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 # E6: 3,6 => CTR => E6: 5,7 * PRF # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 # G8: 5,8 => SOL * STA # I9: 2 + D3: 4,5 + G3: 8,9 + E5: 1,3,6 + E6: 5,7 + G8: 5,8 * CNT 16 HDP CHAINS / 17 HYP OPENED