Analysis of xx-ph-00000910-721-base.sdk
Contents
Original Sudoku
level: deep
position: .2.4...8.........68....71..2..5...9..95.......4..3........41..7..28...4.....6.3.. initial
Autosolve
position: .2.4...8.........68....71..2..5...9..95.......4..3........41..7..28...4.....6.3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for E8,D9: 7..:
* DIS # E8: 7 # D6: 2,9 => CTR => D6: 1,6,7 * DIS # D9: 7 # F8: 5,9 => CTR => F8: 3 * DIS # D9: 7 + F8: 3 # A8: 5,9 => CTR => A8: 1,6,7 * CNT 3 HDP CHAINS / 72 HYP OPENED
List of important HDP chains detected for D7,F8: 3..:
* DIS # D7: 3 # E8: 5,9 => CTR => E8: 7 * DIS # D7: 3 + E8: 7 # F9: 5,9 => CTR => F9: 2 * DIS # D7: 3 + E8: 7 + F9: 2 # E2: 1,2 => CTR => E2: 5,8,9 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # E5: 1,8 => CTR => E5: 2 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # G7: 6,9 => CTR => G7: 2,5,8 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 # I9: 1,5 => CTR => I9: 8 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # A1: 3,6 => CTR => A1: 1,5,7,9 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 # C1: 1,7,9 => CTR => C1: 3,6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 # E1: 5,9 => CTR => E1: 1 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 # I3: 5,9 => CTR => I3: 2,3,4 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 # H7: 2,5 => CTR => H7: 6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 + H7: 6 => CTR => D7: 2,9 * STA D7: 2,9 * CNT 12 HDP CHAINS / 34 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
| .2.4...8.........68....71..2..5...9..95.......4..3........41..7..28...4.....6.3.. | initial |
| .2.4...8.........68....71..2..5...9..95.......4..3........41..7..28...4.....6.3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,F8: 3.. / D7 = 3 => 2 pairs (_) / F8 = 3 => 1 pairs (_) G2,I3: 4.. / G2 = 4 => 0 pairs (_) / I3 = 4 => 0 pairs (_) F4,F5: 4.. / F4 = 4 => 0 pairs (_) / F5 = 4 => 1 pairs (_) A9,C9: 4.. / A9 = 4 => 0 pairs (_) / C9 = 4 => 0 pairs (_) C3,I3: 4.. / C3 = 4 => 0 pairs (_) / I3 = 4 => 0 pairs (_) A2,A9: 4.. / A2 = 4 => 0 pairs (_) / A9 = 4 => 0 pairs (_) F1,D3: 6.. / F1 = 6 => 1 pairs (_) / D3 = 6 => 1 pairs (_) E8,D9: 7.. / E8 = 7 => 3 pairs (_) / D9 = 7 => 1 pairs (_) E2,F2: 8.. / E2 = 8 => 1 pairs (_) / F2 = 8 => 1 pairs (_) G7,I9: 8.. / G7 = 8 => 0 pairs (_) / I9 = 8 => 0 pairs (_) D6,F6: 9.. / D6 = 9 => 2 pairs (_) / F6 = 9 => 2 pairs (_) * DURATION: 0:00:07.449030 START: 04:50:15.600245 END: 04:50:23.049275 2020-11-23 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E8,D9: 7.. / E8 = 7 ==> 5 pairs (_) / D9 = 7 ==> 2 pairs (_) D6,F6: 9.. / D6 = 9 ==> 2 pairs (_) / F6 = 9 ==> 2 pairs (_) D7,F8: 3.. / D7 = 3 ==> 0 pairs (X) / F8 = 3 => 1 pairs (_) E2,F2: 8.. / E2 = 8 ==> 1 pairs (_) / F2 = 8 ==> 1 pairs (_) F1,D3: 6.. / F1 = 6 ==> 1 pairs (_) / D3 = 6 ==> 1 pairs (_) F4,F5: 4.. / F4 = 4 ==> 0 pairs (_) / F5 = 4 ==> 1 pairs (_) G7,I9: 8.. / G7 = 8 ==> 0 pairs (_) / I9 = 8 ==> 0 pairs (_) A2,A9: 4.. / A2 = 4 ==> 0 pairs (_) / A9 = 4 ==> 0 pairs (_) C3,I3: 4.. / C3 = 4 ==> 0 pairs (_) / I3 = 4 ==> 0 pairs (_) A9,C9: 4.. / A9 = 4 ==> 0 pairs (_) / C9 = 4 ==> 0 pairs (_) G2,I3: 4.. / G2 = 4 ==> 0 pairs (_) / I3 = 4 ==> 0 pairs (_) * DURATION: 0:02:00.300563 START: 04:50:23.050220 END: 04:52:23.350783 2020-11-23 * REASONING E8,D9: 7.. * DIS # E8: 7 # D6: 2,9 => CTR => D6: 1,6,7 * DIS # D9: 7 # F8: 5,9 => CTR => F8: 3 * DIS # D9: 7 + F8: 3 # A8: 5,9 => CTR => A8: 1,6,7 * CNT 3 HDP CHAINS / 72 HYP OPENED * REASONING D7,F8: 3.. * DIS # D7: 3 # E8: 5,9 => CTR => E8: 7 * DIS # D7: 3 + E8: 7 # F9: 5,9 => CTR => F9: 2 * DIS # D7: 3 + E8: 7 + F9: 2 # E2: 1,2 => CTR => E2: 5,8,9 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # E5: 1,8 => CTR => E5: 2 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # G7: 6,9 => CTR => G7: 2,5,8 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 # I9: 1,5 => CTR => I9: 8 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # A1: 3,6 => CTR => A1: 1,5,7,9 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 # C1: 1,7,9 => CTR => C1: 3,6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 # E1: 5,9 => CTR => E1: 1 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 # I3: 5,9 => CTR => I3: 2,3,4 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 # H7: 2,5 => CTR => H7: 6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 + H7: 6 => CTR => D7: 2,9 * STA D7: 2,9 * CNT 12 HDP CHAINS / 34 HYP OPENED * DCP COUNT: (11) * CLUE FOUND
Header Info
910;721;elev;22;11.30;11.30;9.30
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E8,D9: 7..:
* INC # E8: 7 # D3: 3,6 => UNS * INC # E8: 7 # D3: 2 => UNS * INC # E8: 7 # A1: 3,6 => UNS * INC # E8: 7 # C1: 3,6 => UNS * INC # E8: 7 # E5: 1,8 => UNS * INC # E8: 7 # E5: 2 => UNS * INC # E8: 7 # B4: 1,8 => UNS * INC # E8: 7 # C4: 1,8 => UNS * INC # E8: 7 # I4: 1,8 => UNS * INC # E8: 7 # E2: 1,8 => UNS * INC # E8: 7 # E2: 2,5,9 => UNS * INC # E8: 7 # D7: 2,9 => UNS * INC # E8: 7 # F9: 2,9 => UNS * INC # E8: 7 # I9: 2,9 => UNS * INC # E8: 7 # I9: 1,5,8 => UNS * DIS # E8: 7 # D6: 2,9 => CTR => D6: 1,6,7 * INC # E8: 7 + D6: 1,6,7 # D7: 2,9 => UNS * INC # E8: 7 + D6: 1,6,7 # D7: 3 => UNS * INC # E8: 7 + D6: 1,6,7 # I9: 2,9 => UNS * INC # E8: 7 + D6: 1,6,7 # I9: 1,5,8 => UNS * INC # E8: 7 + D6: 1,6,7 # D3: 3,6 => UNS * INC # E8: 7 + D6: 1,6,7 # D3: 2 => UNS * INC # E8: 7 + D6: 1,6,7 # A1: 3,6 => UNS * INC # E8: 7 + D6: 1,6,7 # C1: 3,6 => UNS * INC # E8: 7 + D6: 1,6,7 # E5: 1,8 => UNS * INC # E8: 7 + D6: 1,6,7 # E5: 2 => UNS * INC # E8: 7 + D6: 1,6,7 # B4: 1,8 => UNS * INC # E8: 7 + D6: 1,6,7 # C4: 1,8 => UNS * INC # E8: 7 + D6: 1,6,7 # I4: 1,8 => UNS * INC # E8: 7 + D6: 1,6,7 # E2: 1,8 => UNS * INC # E8: 7 + D6: 1,6,7 # E2: 2,5,9 => UNS * INC # E8: 7 + D6: 1,6,7 # A8: 3,5 => UNS * INC # E8: 7 + D6: 1,6,7 # B8: 3,5 => UNS * INC # E8: 7 + D6: 1,6,7 # D7: 2,9 => UNS * INC # E8: 7 + D6: 1,6,7 # D7: 3 => UNS * INC # E8: 7 + D6: 1,6,7 # I9: 2,9 => UNS * INC # E8: 7 + D6: 1,6,7 # I9: 1,5,8 => UNS * INC # E8: 7 + D6: 1,6,7 # H9: 2,5 => UNS * INC # E8: 7 + D6: 1,6,7 # I9: 2,5 => UNS * INC # E8: 7 + D6: 1,6,7 => UNS * DIS # D9: 7 # F8: 5,9 => CTR => F8: 3 * INC # D9: 7 + F8: 3 # F9: 5,9 => UNS * INC # D9: 7 + F8: 3 # F9: 5,9 => UNS * INC # D9: 7 + F8: 3 # F9: 2 => UNS * DIS # D9: 7 + F8: 3 # A8: 5,9 => CTR => A8: 1,6,7 * INC # D9: 7 + F8: 3 + A8: 1,6,7 # G8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # I8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E1: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E2: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E3: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 2 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # G8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # I8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E1: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E2: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E3: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 2,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 5 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # G7: 2,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # G7: 5,6,8 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # D2: 2,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # D3: 2,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # D6: 2,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # F9: 2 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # G8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # I8: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E1: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E2: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 # E3: 5,9 => UNS * INC # D9: 7 + F8: 3 + A8: 1,6,7 => UNS * CNT 72 HDP CHAINS / 72 HYP OPENED
Full list of HDP chains traversed for D6,F6: 9..:
* INC # D6: 9 # D2: 2,3 => UNS * INC # D6: 9 # D3: 2,3 => UNS * INC # D6: 9 # D5: 2,7 => UNS * INC # D6: 9 # D5: 1,6 => UNS * INC # D6: 9 => UNS * INC # F6: 9 # A8: 3,5 => UNS * INC # F6: 9 # B8: 3,5 => UNS * INC # F6: 9 # F1: 3,5 => UNS * INC # F6: 9 # F2: 3,5 => UNS * INC # F6: 9 # H9: 2,5 => UNS * INC # F6: 9 # I9: 2,5 => UNS * INC # F6: 9 # F2: 2,5 => UNS * INC # F6: 9 # F2: 3,8 => UNS * INC # F6: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D7,F8: 3..:
* DIS # D7: 3 # E8: 5,9 => CTR => E8: 7 * DIS # D7: 3 + E8: 7 # F9: 5,9 => CTR => F9: 2 * INC # D7: 3 + E8: 7 + F9: 2 # I9: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # I9: 8 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # A9: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # B9: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # H6: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # H6: 2,6,7 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # A1: 3,6 => UNS * INC # D7: 3 + E8: 7 + F9: 2 # C1: 3,6 => UNS * DIS # D7: 3 + E8: 7 + F9: 2 # E2: 1,2 => CTR => E2: 5,8,9 * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # D5: 1,2 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # D6: 1,2 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # D5: 2,6 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # D6: 2,6 => UNS * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 # E5: 1,8 => CTR => E5: 2 * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # B4: 1,8 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # C4: 1,8 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # I4: 1,8 => UNS * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 # G7: 6,9 => CTR => G7: 2,5,8 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 # I9: 1,5 => CTR => I9: 8 * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # A9: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # B9: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # H6: 1,5 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # H6: 2,6,7 => UNS * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 # A1: 3,6 => CTR => A1: 1,5,7,9 * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 # C1: 3,6 => UNS * INC # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 # C1: 3,6 => UNS * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 # C1: 1,7,9 => CTR => C1: 3,6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 # E1: 5,9 => CTR => E1: 1 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 # I3: 5,9 => CTR => I3: 2,3,4 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 # H7: 2,5 => CTR => H7: 6 * DIS # D7: 3 + E8: 7 + F9: 2 + E2: 5,8,9 + E5: 2 + G7: 2,5,8 + I9: 8 + A1: 1,5,7,9 + C1: 3,6 + E1: 1 + I3: 2,3,4 + H7: 6 => CTR => D7: 2,9 * INC D7: 2,9 # F8: 3 => UNS * STA D7: 2,9 * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for E2,F2: 8..:
* INC # E2: 8 # D5: 1,7 => UNS * INC # E2: 8 # E5: 1,7 => UNS * INC # E2: 8 # D6: 1,7 => UNS * INC # E2: 8 # B4: 1,7 => UNS * INC # E2: 8 # C4: 1,7 => UNS * INC # E2: 8 => UNS * INC # F2: 8 # F5: 4,6 => UNS * INC # F2: 8 # F5: 2 => UNS * INC # F2: 8 # G4: 4,6 => UNS * INC # F2: 8 # G4: 7,8 => UNS * INC # F2: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for F1,D3: 6..:
* INC # F1: 6 # F5: 4,8 => UNS * INC # F1: 6 # F5: 2 => UNS * INC # F1: 6 # G4: 4,8 => UNS * INC # F1: 6 # I4: 4,8 => UNS * INC # F1: 6 => UNS * INC # D3: 6 # A1: 3,5 => UNS * INC # D3: 6 # A2: 3,5 => UNS * INC # D3: 6 # B2: 3,5 => UNS * INC # D3: 6 # H3: 3,5 => UNS * INC # D3: 6 # I3: 3,5 => UNS * INC # D3: 6 # B7: 3,5 => UNS * INC # D3: 6 # B8: 3,5 => UNS * INC # D3: 6 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for F4,F5: 4..:
* INC # F5: 4 # F6: 6,8 => UNS * INC # F5: 4 # F6: 2,9 => UNS * INC # F5: 4 # B4: 6,8 => UNS * INC # F5: 4 # C4: 6,8 => UNS * INC # F5: 4 # G4: 6,8 => UNS * INC # F5: 4 => UNS * INC # F4: 4 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for G7,I9: 8..:
* INC # G7: 8 => UNS * INC # I9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A2,A9: 4..:
* INC # A2: 4 => UNS * INC # A9: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C3,I3: 4..:
* INC # C3: 4 => UNS * INC # I3: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A9,C9: 4..:
* INC # A9: 4 => UNS * INC # C9: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G2,I3: 4..:
* INC # G2: 4 => UNS * INC # I3: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED