Analysis of xx-ph-00034432-12_05-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6....7.5..9...4..9...5....3....7.6..2....1.4...3.1.....2....1...78.....61.. initial
Autosolve
position: 98.7..6....7.5..9...4.69...5....3....7.6..2....1.4...3.1.....26...1...78.....61.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:57.985847
List of important HDP chains detected for A2,A3: 1..:
* DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5 * DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9 * PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL * STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9 * CNT 5 HDP CHAINS / 75 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6....7.5..9...4..9...5....3....7.6..2....1.4...3.1.....2....1...78.....61.. | initial |
| 98.7..6....7.5..9...4.69...5....3....7.6..2....1.4...3.1.....26...1...78.....61.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,A3: 1.. / A2 = 1 => 3 pairs (_) / A3 = 1 => 0 pairs (_) A5,C5: 3.. / A5 = 3 => 2 pairs (_) / C5 = 3 => 2 pairs (_) B4,A5: 4.. / B4 = 4 => 1 pairs (_) / A5 = 4 => 1 pairs (_) C1,B3: 5.. / C1 = 5 => 1 pairs (_) / B3 = 5 => 1 pairs (_) A2,B2: 6.. / A2 = 6 => 2 pairs (_) / B2 = 6 => 1 pairs (_) H4,H6: 6.. / H4 = 6 => 1 pairs (_) / H6 = 6 => 2 pairs (_) C4,C8: 6.. / C4 = 6 => 2 pairs (_) / C8 = 6 => 0 pairs (_) G3,I3: 7.. / G3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) E4,F6: 7.. / E4 = 7 => 0 pairs (_) / F6 = 7 => 0 pairs (_) A7,A9: 7.. / A7 = 7 => 0 pairs (_) / A9 = 7 => 0 pairs (_) F6,G6: 7.. / F6 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) A9,E9: 7.. / A9 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) F6,F7: 7.. / F6 = 7 => 0 pairs (_) / F7 = 7 => 0 pairs (_) I3,I4: 7.. / I3 = 7 => 0 pairs (_) / I4 = 7 => 0 pairs (_) * DURATION: 0:00:08.629945 START: 13:08:34.474757 END: 13:08:43.104702 2020-12-14 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A2,A3: 1.. / A2 = 1 ==> 3 pairs (_) / A3 = 1 ==> 0 pairs (_) A5,C5: 3.. / A5 = 3 ==> 2 pairs (_) / C5 = 3 ==> 2 pairs (_) H4,H6: 6.. / H4 = 6 ==> 1 pairs (_) / H6 = 6 ==> 2 pairs (_) A2,B2: 6.. / A2 = 6 ==> 2 pairs (_) / B2 = 6 ==> 1 pairs (_) C4,C8: 6.. / C4 = 6 ==> 2 pairs (_) / C8 = 6 ==> 0 pairs (_) C1,B3: 5.. / C1 = 5 ==> 1 pairs (_) / B3 = 5 ==> 1 pairs (_) B4,A5: 4.. / B4 = 4 ==> 1 pairs (_) / A5 = 4 ==> 1 pairs (_) I3,I4: 7.. / I3 = 7 ==> 0 pairs (_) / I4 = 7 ==> 0 pairs (_) F6,F7: 7.. / F6 = 7 ==> 0 pairs (_) / F7 = 7 ==> 0 pairs (_) A9,E9: 7.. / A9 = 7 ==> 0 pairs (_) / E9 = 7 ==> 0 pairs (_) F6,G6: 7.. / F6 = 7 ==> 0 pairs (_) / G6 = 7 ==> 0 pairs (_) A7,A9: 7.. / A7 = 7 ==> 0 pairs (_) / A9 = 7 ==> 0 pairs (_) E4,F6: 7.. / E4 = 7 ==> 0 pairs (_) / F6 = 7 ==> 0 pairs (_) G3,I3: 7.. / G3 = 7 ==> 0 pairs (_) / I3 = 7 ==> 0 pairs (_) * DURATION: 0:01:00.912653 START: 13:08:43.105322 END: 13:09:44.017975 2020-12-14 * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A2,A3: 1.. / A2 = 1 ==> 0 pairs (*) / A3 = 1 => 0 pairs (X) * DURATION: 0:00:57.984220 START: 13:09:44.169253 END: 13:10:42.153473 2020-12-14 * REASONING A2,A3: 1.. * DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5 * DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9 * PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL * STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9 * CNT 5 HDP CHAINS / 75 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
34432;12_05;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A2,A3: 1..:
* INC # A2: 1 # C1: 2,3 => UNS * INC # A2: 1 # B3: 2,3 => UNS * INC # A2: 1 # D3: 2,3 => UNS * INC # A2: 1 # D3: 8 => UNS * INC # A2: 1 # A8: 2,3 => UNS * INC # A2: 1 # A9: 2,3 => UNS * INC # A2: 1 # I1: 2,4 => UNS * INC # A2: 1 # I1: 5 => UNS * INC # A2: 1 # D2: 2,4 => UNS * INC # A2: 1 # F2: 2,4 => UNS * INC # A2: 1 # B4: 2,9 => UNS * INC # A2: 1 # C4: 2,9 => UNS * INC # A2: 1 # D6: 2,9 => UNS * INC # A2: 1 # D6: 5,8 => UNS * INC # A2: 1 # B8: 2,9 => UNS * INC # A2: 1 # B9: 2,9 => UNS * INC # A2: 1 => UNS * INC # A3: 1 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A5,C5: 3..:
* INC # A5: 3 # A2: 1,2 => UNS * INC # A5: 3 # A2: 6 => UNS * INC # A5: 3 # I3: 1,2 => UNS * INC # A5: 3 # I3: 5,7 => UNS * INC # A5: 3 # C4: 8,9 => UNS * INC # A5: 3 # C4: 2,6 => UNS * INC # A5: 3 # E5: 8,9 => UNS * INC # A5: 3 # E5: 1 => UNS * INC # A5: 3 # C7: 8,9 => UNS * INC # A5: 3 # C9: 8,9 => UNS * INC # A5: 3 => UNS * INC # C5: 3 # B3: 2,5 => UNS * INC # C5: 3 # B3: 3 => UNS * INC # C5: 3 # I1: 2,5 => UNS * INC # C5: 3 # I1: 1,4 => UNS * INC # C5: 3 # C8: 2,5 => UNS * INC # C5: 3 # C9: 2,5 => UNS * INC # C5: 3 # H5: 4,8 => UNS * INC # C5: 3 # H5: 1,5 => UNS * INC # C5: 3 # A7: 4,8 => UNS * INC # C5: 3 # A9: 4,8 => UNS * INC # C5: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H4,H6: 6..:
* INC # H6: 6 # C4: 2,8 => UNS * INC # H6: 6 # C4: 6,9 => UNS * INC # H6: 6 # D6: 2,8 => UNS * INC # H6: 6 # F6: 2,8 => UNS * INC # H6: 6 # A9: 2,8 => UNS * INC # H6: 6 # A9: 3,4,7 => UNS * INC # H6: 6 # B4: 2,9 => UNS * INC # H6: 6 # C4: 2,9 => UNS * INC # H6: 6 # D6: 2,9 => UNS * INC # H6: 6 # D6: 5,8 => UNS * INC # H6: 6 # B8: 2,9 => UNS * INC # H6: 6 # B9: 2,9 => UNS * INC # H6: 6 => UNS * INC # H4: 6 # H5: 5,8 => UNS * INC # H4: 6 # G6: 5,8 => UNS * INC # H4: 6 # D6: 5,8 => UNS * INC # H4: 6 # F6: 5,8 => UNS * INC # H4: 6 # H3: 5,8 => UNS * INC # H4: 6 # H3: 1,3 => UNS * INC # H4: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for A2,B2: 6..:
* INC # A2: 6 # C1: 2,3 => UNS * INC # A2: 6 # B3: 2,3 => UNS * INC # A2: 6 # D2: 2,3 => UNS * INC # A2: 6 # D2: 4,8 => UNS * INC # A2: 6 # B8: 2,3 => UNS * INC # A2: 6 # B9: 2,3 => UNS * INC # A2: 6 # C4: 2,8 => UNS * INC # A2: 6 # C4: 6,9 => UNS * INC # A2: 6 # D6: 2,8 => UNS * INC # A2: 6 # F6: 2,8 => UNS * INC # A2: 6 # A9: 2,8 => UNS * INC # A2: 6 # A9: 3,4,7 => UNS * INC # A2: 6 => UNS * INC # B2: 6 # B4: 2,9 => UNS * INC # B2: 6 # C4: 2,9 => UNS * INC # B2: 6 # D6: 2,9 => UNS * INC # B2: 6 # D6: 5,8 => UNS * INC # B2: 6 # B8: 2,9 => UNS * INC # B2: 6 # B9: 2,9 => UNS * INC # B2: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C4,C8: 6..:
* INC # C4: 6 # D6: 2,8 => UNS * INC # C4: 6 # F6: 2,8 => UNS * INC # C4: 6 # A9: 2,8 => UNS * INC # C4: 6 # A9: 3,4,7 => UNS * INC # C4: 6 # B4: 2,9 => UNS * INC # C4: 6 # B4: 4 => UNS * INC # C4: 6 # D6: 2,9 => UNS * INC # C4: 6 # D6: 5,8 => UNS * INC # C4: 6 # B8: 2,9 => UNS * INC # C4: 6 # B9: 2,9 => UNS * INC # C4: 6 => UNS * INC # C8: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C1,B3: 5..:
* INC # C1: 5 # A2: 2,3 => UNS * INC # C1: 5 # B2: 2,3 => UNS * INC # C1: 5 # A3: 2,3 => UNS * INC # C1: 5 # D3: 2,3 => UNS * INC # C1: 5 # D3: 8 => UNS * INC # C1: 5 # B8: 2,3 => UNS * INC # C1: 5 # B9: 2,3 => UNS * INC # C1: 5 => UNS * INC # B3: 5 # A2: 2,3 => UNS * INC # B3: 5 # B2: 2,3 => UNS * INC # B3: 5 # A3: 2,3 => UNS * INC # B3: 5 # E1: 2,3 => UNS * INC # B3: 5 # E1: 1 => UNS * INC # B3: 5 # C8: 2,3 => UNS * INC # B3: 5 # C9: 2,3 => UNS * INC # B3: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B4,A5: 4..:
* INC # B4: 4 # C5: 3,8 => UNS * INC # B4: 4 # C5: 9 => UNS * INC # B4: 4 # A7: 3,8 => UNS * INC # B4: 4 # A9: 3,8 => UNS * INC # B4: 4 => UNS * INC # A5: 4 # B3: 2,5 => UNS * INC # A5: 4 # B3: 3 => UNS * INC # A5: 4 # I1: 2,5 => UNS * INC # A5: 4 # I1: 1,4 => UNS * INC # A5: 4 # C8: 2,5 => UNS * INC # A5: 4 # C9: 2,5 => UNS * INC # A5: 4 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for I3,I4: 7..:
* INC # I3: 7 => UNS * INC # I4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F6,F7: 7..:
* INC # F6: 7 => UNS * INC # F7: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A9,E9: 7..:
* INC # A9: 7 => UNS * INC # E9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F6,G6: 7..:
* INC # F6: 7 => UNS * INC # G6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A7,A9: 7..:
* INC # A7: 7 => UNS * INC # A9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,F6: 7..:
* INC # E4: 7 => UNS * INC # F6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G3,I3: 7..:
* INC # G3: 7 => UNS * INC # I3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A2,A3: 1..:
* INC # A2: 1 # C1: 2,3 => UNS * INC # A2: 1 # B3: 2,3 => UNS * INC # A2: 1 # D3: 2,3 => UNS * INC # A2: 1 # D3: 8 => UNS * INC # A2: 1 # A8: 2,3 => UNS * INC # A2: 1 # A9: 2,3 => UNS * INC # A2: 1 # I1: 2,4 => UNS * INC # A2: 1 # I1: 5 => UNS * INC # A2: 1 # D2: 2,4 => UNS * INC # A2: 1 # F2: 2,4 => UNS * INC # A2: 1 # B4: 2,9 => UNS * INC # A2: 1 # C4: 2,9 => UNS * INC # A2: 1 # D6: 2,9 => UNS * INC # A2: 1 # D6: 5,8 => UNS * INC # A2: 1 # B8: 2,9 => UNS * INC # A2: 1 # B9: 2,9 => UNS * INC # A2: 1 # C1: 2,3 # E1: 2,3 => UNS * INC # A2: 1 # C1: 2,3 # E1: 1 => UNS * INC # A2: 1 # C1: 2,3 # D3: 2,3 => UNS * INC # A2: 1 # C1: 2,3 # D3: 8 => UNS * INC # A2: 1 # C1: 2,3 # I1: 2,4 => UNS * INC # A2: 1 # C1: 2,3 # I1: 5 => UNS * INC # A2: 1 # C1: 2,3 # D2: 2,4 => UNS * INC # A2: 1 # C1: 2,3 # F2: 2,4 => UNS * INC # A2: 1 # C1: 2,3 # B4: 2,9 => UNS * INC # A2: 1 # C1: 2,3 # C4: 2,9 => UNS * INC # A2: 1 # C1: 2,3 # D6: 2,9 => UNS * INC # A2: 1 # C1: 2,3 # D6: 5,8 => UNS * INC # A2: 1 # C1: 2,3 # B8: 2,9 => UNS * INC # A2: 1 # C1: 2,3 # B9: 2,9 => UNS * INC # A2: 1 # C1: 2,3 => UNS * INC # A2: 1 # B3: 2,3 # A8: 2,3 => UNS * INC # A2: 1 # B3: 2,3 # A9: 2,3 => UNS * DIS # A2: 1 # B3: 2,3 # B8: 2,3 => CTR => B8: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 # B9: 2,3 => CTR => B9: 4,5,9 * DIS # A2: 1 # B3: 2,3 + B8: 4,5,9 + B9: 4,5,9 => CTR => B3: 5 * INC # A2: 1 + B3: 5 # E1: 2,3 => UNS * INC # A2: 1 + B3: 5 # E1: 1 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 => UNS * INC # A2: 1 + B3: 5 # D3: 8 => UNS * INC # A2: 1 + B3: 5 # I1: 2,4 => UNS * INC # A2: 1 + B3: 5 # I1: 5 => UNS * INC # A2: 1 + B3: 5 # D2: 2,4 => UNS * INC # A2: 1 + B3: 5 # F2: 2,4 => UNS * INC # A2: 1 + B3: 5 # B4: 2,9 => UNS * INC # A2: 1 + B3: 5 # C4: 2,9 => UNS * INC # A2: 1 + B3: 5 # D6: 2,9 => UNS * INC # A2: 1 + B3: 5 # D6: 5,8 => UNS * INC # A2: 1 + B3: 5 # B8: 2,9 => UNS * INC # A2: 1 + B3: 5 # B9: 2,9 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 2,3 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 1 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 # E1: 2,3 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 # D2: 2,3 => UNS * DIS # A2: 1 + B3: 5 # D3: 2,3 # D9: 2,3 => CTR => D9: 4,5,8,9 * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # E1: 2,3 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,3 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H1: 3,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H1: 5 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 3,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,8 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G7: 3,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G8: 3,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I1: 2,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I1: 5 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # D2: 2,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # F2: 2,4 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G4: 7,8 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # G6: 7,8 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H4: 1,8 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # H5: 1,8 => UNS * INC # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 1,7 => UNS * PRF # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 # I4: 4,9 => SOL * STA # A2: 1 + B3: 5 # D3: 2,3 + D9: 4,5,8,9 + I4: 4,9 * CNT 73 HDP CHAINS / 75 HYP OPENED