Analysis of xx-ph-00033254-2012_04-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.7...5......5....5..6..8...4...3.....6.9......89..7......3..4......2..1 initial
Autosolve
position: 9857.....6.7...5......5....5..6..8...4...3.....6.9......89..7......3..4......2..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for F8,E9: 7..:
* DIS # F8: 7 # F6: 1,4 => CTR => F6: 5,8 * CNT 1 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for B2,D2: 3..:
* DIS # B2: 3 # G5: 6,9 => CTR => G5: 1,2 * DIS # B2: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => B2: 1,2 * STA B2: 1,2 * CNT 5 HDP CHAINS / 36 HYP OPENED
List of important HDP chains detected for D2,D3: 3..:
* DIS # D3: 3 # G5: 6,9 => CTR => G5: 1,2 * DIS # D3: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => D3: 1,2,8 * STA D3: 1,2,8 * CNT 5 HDP CHAINS / 36 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...5......5....5..6..8...4...3.....6.9......89..7......3..4......2..1 | initial |
| 9857.....6.7...5......5....5..6..8...4...3.....6.9......89..7......3..4......2..1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 3.. / D2 = 3 => 1 pairs (_) / D3 = 3 => 2 pairs (_) B2,D2: 3.. / B2 = 3 => 2 pairs (_) / D2 = 3 => 1 pairs (_) A3,C3: 4.. / A3 = 4 => 2 pairs (_) / C3 = 4 => 1 pairs (_) C3,C9: 4.. / C3 = 4 => 1 pairs (_) / C9 = 4 => 2 pairs (_) G1,G6: 4.. / G1 = 4 => 1 pairs (_) / G6 = 4 => 0 pairs (_) H3,I3: 7.. / H3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F8,E9: 7.. / F8 = 7 => 2 pairs (_) / E9 = 7 => 1 pairs (_) A5,A6: 8.. / A5 = 8 => 0 pairs (_) / A6 = 8 => 0 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 1 pairs (_) F2,F3: 9.. / F2 = 9 => 0 pairs (_) / F3 = 9 => 0 pairs (_) * DURATION: 0:00:06.460733 START: 17:39:20.579667 END: 17:39:27.040400 2020-10-26 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F8,E9: 7.. / F8 = 7 ==> 3 pairs (_) / E9 = 7 ==> 1 pairs (_) C3,C9: 4.. / C3 = 4 ==> 1 pairs (_) / C9 = 4 ==> 2 pairs (_) A3,C3: 4.. / A3 = 4 ==> 2 pairs (_) / C3 = 4 ==> 1 pairs (_) B2,D2: 3.. / B2 = 3 ==> 0 pairs (X) / D2 = 3 => 1 pairs (_) D2,D3: 3.. / D2 = 3 => 1 pairs (_) / D3 = 3 ==> 0 pairs (X) I8,H9: 8.. / I8 = 8 ==> 1 pairs (_) / H9 = 8 ==> 1 pairs (_) G1,G6: 4.. / G1 = 4 ==> 1 pairs (_) / G6 = 4 ==> 0 pairs (_) F2,F3: 9.. / F2 = 9 ==> 0 pairs (_) / F3 = 9 ==> 0 pairs (_) A5,A6: 8.. / A5 = 8 ==> 0 pairs (_) / A6 = 8 ==> 0 pairs (_) H3,I3: 7.. / H3 = 7 ==> 0 pairs (_) / I3 = 7 ==> 0 pairs (_) * DURATION: 0:01:23.300433 START: 17:39:27.041134 END: 17:40:50.341567 2020-10-26 * REASONING F8,E9: 7.. * DIS # F8: 7 # F6: 1,4 => CTR => F6: 5,8 * CNT 1 HDP CHAINS / 38 HYP OPENED * REASONING B2,D2: 3.. * DIS # B2: 3 # G5: 6,9 => CTR => G5: 1,2 * DIS # B2: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => B2: 1,2 * STA B2: 1,2 * CNT 5 HDP CHAINS / 36 HYP OPENED * REASONING D2,D3: 3.. * DIS # D3: 3 # G5: 6,9 => CTR => G5: 1,2 * DIS # D3: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => D3: 1,2,8 * STA D3: 1,2,8 * CNT 5 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (10) * CLUE FOUND
Header Info
33254;2012_04;GP;21;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F8,E9: 7..:
* INC # F8: 7 # E4: 1,4 => UNS * INC # F8: 7 # D6: 1,4 => UNS * DIS # F8: 7 # F6: 1,4 => CTR => F6: 5,8 * INC # F8: 7 + F6: 5,8 # F1: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F2: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F7: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # E4: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # D6: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F1: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F2: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F7: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # A7: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # B7: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # B8: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # C8: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A3: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A5: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A6: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # E4: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # D6: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F1: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F2: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # F7: 1,4 => UNS * INC # F8: 7 + F6: 5,8 # D5: 5,8 => UNS * INC # F8: 7 + F6: 5,8 # D6: 5,8 => UNS * INC # F8: 7 + F6: 5,8 # A7: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # B7: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # B8: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # C8: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A3: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A5: 1,2 => UNS * INC # F8: 7 + F6: 5,8 # A6: 1,2 => UNS * INC # F8: 7 + F6: 5,8 => UNS * INC # E9: 7 # A7: 3,4 => UNS * INC # E9: 7 # C9: 3,4 => UNS * INC # E9: 7 # A3: 3,4 => UNS * INC # E9: 7 # A3: 1,2 => UNS * INC # E9: 7 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for C3,C9: 4..:
* INC # C9: 4 # B9: 3,7 => UNS * INC # C9: 4 # B9: 5,6,9 => UNS * INC # C9: 4 # A6: 3,7 => UNS * INC # C9: 4 # A6: 1,2,8 => UNS * INC # C9: 4 # D8: 5,8 => UNS * INC # C9: 4 # F8: 5,8 => UNS * INC # C9: 4 # H9: 5,8 => UNS * INC # C9: 4 # H9: 3,6,9 => UNS * INC # C9: 4 # D5: 5,8 => UNS * INC # C9: 4 # D6: 5,8 => UNS * INC # C9: 4 => UNS * INC # C3: 4 # B9: 3,9 => UNS * INC # C3: 4 # B9: 5,6,7 => UNS * INC # C3: 4 # G9: 3,9 => UNS * INC # C3: 4 # H9: 3,9 => UNS * INC # C3: 4 # C4: 3,9 => UNS * INC # C3: 4 # C4: 1,2 => UNS * INC # C3: 4 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A3,C3: 4..:
* INC # A3: 4 # B9: 3,7 => UNS * INC # A3: 4 # B9: 5,6,9 => UNS * INC # A3: 4 # A6: 3,7 => UNS * INC # A3: 4 # A6: 1,2,8 => UNS * INC # A3: 4 # D8: 5,8 => UNS * INC # A3: 4 # F8: 5,8 => UNS * INC # A3: 4 # H9: 5,8 => UNS * INC # A3: 4 # H9: 3,6,9 => UNS * INC # A3: 4 # D5: 5,8 => UNS * INC # A3: 4 # D6: 5,8 => UNS * INC # A3: 4 => UNS * INC # C3: 4 # B9: 3,9 => UNS * INC # C3: 4 # B9: 5,6,7 => UNS * INC # C3: 4 # G9: 3,9 => UNS * INC # C3: 4 # H9: 3,9 => UNS * INC # C3: 4 # C4: 3,9 => UNS * INC # C3: 4 # C4: 1,2 => UNS * INC # C3: 4 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for B2,D2: 3..:
* INC # B2: 3 # A3: 1,2 => UNS * INC # B2: 3 # C3: 1,2 => UNS * INC # B2: 3 # B4: 1,2 => UNS * INC # B2: 3 # B6: 1,2 => UNS * INC # B2: 3 # B7: 1,2 => UNS * INC # B2: 3 # B8: 1,2 => UNS * INC # B2: 3 # H3: 6,9 => UNS * INC # B2: 3 # I3: 6,9 => UNS * INC # B2: 3 # F3: 6,9 => UNS * INC # B2: 3 # F3: 8 => UNS * DIS # B2: 3 # G5: 6,9 => CTR => G5: 1,2 * INC # B2: 3 + G5: 1,2 # G8: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # G9: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # H3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # I3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # F3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # F3: 8 => UNS * INC # B2: 3 + G5: 1,2 # G8: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # G9: 6,9 => UNS * INC # B2: 3 + G5: 1,2 # A3: 1,2 => UNS * INC # B2: 3 + G5: 1,2 # C3: 1,2 => UNS * INC # B2: 3 + G5: 1,2 # B4: 1,2 => UNS * INC # B2: 3 + G5: 1,2 # B6: 1,2 => UNS * DIS # B2: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # A3: 1,2 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # C3: 1,2 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # B4: 1,2 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # B6: 1,2 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # H3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # I3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # F3: 6,9 => UNS * INC # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # F3: 8 => UNS * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # B2: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => B2: 1,2 * INC B2: 1,2 # D2: 3 => UNS * STA B2: 1,2 * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for D2,D3: 3..:
* INC # D3: 3 # A3: 1,2 => UNS * INC # D3: 3 # C3: 1,2 => UNS * INC # D3: 3 # B4: 1,2 => UNS * INC # D3: 3 # B6: 1,2 => UNS * INC # D3: 3 # B7: 1,2 => UNS * INC # D3: 3 # B8: 1,2 => UNS * INC # D3: 3 # H3: 6,9 => UNS * INC # D3: 3 # I3: 6,9 => UNS * INC # D3: 3 # F3: 6,9 => UNS * INC # D3: 3 # F3: 8 => UNS * DIS # D3: 3 # G5: 6,9 => CTR => G5: 1,2 * INC # D3: 3 + G5: 1,2 # G8: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # G9: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # H3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # I3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # F3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # F3: 8 => UNS * INC # D3: 3 + G5: 1,2 # G8: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # G9: 6,9 => UNS * INC # D3: 3 + G5: 1,2 # A3: 1,2 => UNS * INC # D3: 3 + G5: 1,2 # C3: 1,2 => UNS * INC # D3: 3 + G5: 1,2 # B4: 1,2 => UNS * INC # D3: 3 + G5: 1,2 # B6: 1,2 => UNS * DIS # D3: 3 + G5: 1,2 # B7: 1,2 => CTR => B7: 5,6 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 # B8: 1,2 => CTR => B8: 5,6,7,9 * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # A3: 1,2 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # C3: 1,2 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # B4: 1,2 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # B6: 1,2 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # H3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # I3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # F3: 6,9 => UNS * INC # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # F3: 8 => UNS * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 # G8: 6,9 => CTR => G8: 2 * DIS # D3: 3 + G5: 1,2 + B7: 5,6 + B8: 5,6,7,9 + G8: 2 => CTR => D3: 1,2,8 * INC D3: 1,2,8 # D2: 3 => UNS * STA D3: 1,2,8 * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 # F7: 1,5 => UNS * INC # I8: 8 # F8: 1,5 => UNS * INC # I8: 8 # B8: 1,5 => UNS * INC # I8: 8 # B8: 2,6,7,9 => UNS * INC # I8: 8 # D5: 1,5 => UNS * INC # I8: 8 # D6: 1,5 => UNS * INC # I8: 8 => UNS * INC # H9: 8 # F7: 4,5 => UNS * INC # H9: 8 # F7: 1,6 => UNS * INC # H9: 8 # D6: 4,5 => UNS * INC # H9: 8 # D6: 1,2,8 => UNS * INC # H9: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G1,G6: 4..:
* INC # G1: 4 # E1: 1,6 => UNS * INC # G1: 4 # F3: 1,6 => UNS * INC # G1: 4 # H1: 1,6 => UNS * INC # G1: 4 # H1: 2,3 => UNS * INC # G1: 4 # F7: 1,6 => UNS * INC # G1: 4 # F8: 1,6 => UNS * INC # G1: 4 => UNS * INC # G6: 4 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F2,F3: 9..:
* INC # F2: 9 => UNS * INC # F3: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A5,A6: 8..:
* INC # A5: 8 => UNS * INC # A6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 => UNS * INC # I3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED