Analysis of xx-ph-00001480-347-base.sdk
Contents
Original Sudoku
level: deep
position: ...4....9....8.1..7....3.6..1......83....2.5...5.9.4..562....3.....3......7..5... initial
Autosolve
position: ...4....9....8.1..7....3.6..1......83....2.5...5.9.4..562....3.....3.....37..5... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for B5,B6: 7..:
* DIS # B5: 7 # G4: 6,9 => CTR => G4: 2,3,7 * DIS # B5: 7 + G4: 2,3,7 # C5: 6,9 => CTR => C5: 4,8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 # I6: 1,6 => CTR => I6: 2,3,7 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # D8: 1,8 => CTR => D8: 2,6,7 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # E9: 1,4 => CTR => E9: 2,6 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 # E7: 7 => CTR => E7: 1,4 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 # G4: 2,7 => CTR => G4: 3 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 # H1: 2,7 => CTR => H1: 8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 # D7: 7,8 => CTR => D7: 1,9 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 + D7: 1,9 => CTR => B5: 4,8,9 * STA B5: 4,8,9 * CNT 10 HDP CHAINS / 27 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
| ...4....9....8.1..7....3.6..1......83....2.5...5.9.4..562....3.....3......7..5... | initial |
| ...4....9....8.1..7....3.6..1......83....2.5...5.9.4..562....3.....3.....37..5... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C2: 3.. / C1 = 3 => 0 pairs (_) / C2 = 3 => 1 pairs (_) G1,I2: 3.. / G1 = 3 => 1 pairs (_) / I2 = 3 => 0 pairs (_) D4,D6: 3.. / D4 = 3 => 1 pairs (_) / D6 = 3 => 0 pairs (_) G4,I6: 3.. / G4 = 3 => 0 pairs (_) / I6 = 3 => 1 pairs (_) C1,G1: 3.. / C1 = 3 => 0 pairs (_) / G1 = 3 => 1 pairs (_) C2,I2: 3.. / C2 = 3 => 1 pairs (_) / I2 = 3 => 0 pairs (_) D4,G4: 3.. / D4 = 3 => 1 pairs (_) / G4 = 3 => 0 pairs (_) D6,I6: 3.. / D6 = 3 => 0 pairs (_) / I6 = 3 => 1 pairs (_) G1,G4: 3.. / G1 = 3 => 1 pairs (_) / G4 = 3 => 0 pairs (_) I2,I6: 3.. / I2 = 3 => 0 pairs (_) / I6 = 3 => 1 pairs (_) D4,E4: 5.. / D4 = 5 => 1 pairs (_) / E4 = 5 => 1 pairs (_) G8,I8: 5.. / G8 = 5 => 1 pairs (_) / I8 = 5 => 1 pairs (_) B5,B6: 7.. / B5 = 7 => 3 pairs (_) / B6 = 7 => 1 pairs (_) * DURATION: 0:00:15.977924 START: 17:14:06.869701 END: 17:14:22.847625 2020-11-28 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B5,B6: 7.. / B5 = 7 ==> 0 pairs (X) / B6 = 7 => 1 pairs (_) G8,I8: 5.. / G8 = 5 ==> 1 pairs (_) / I8 = 5 ==> 1 pairs (_) D4,E4: 5.. / D4 = 5 ==> 1 pairs (_) / E4 = 5 ==> 1 pairs (_) I2,I6: 3.. / I2 = 3 ==> 0 pairs (_) / I6 = 3 ==> 1 pairs (_) G1,G4: 3.. / G1 = 3 ==> 1 pairs (_) / G4 = 3 ==> 0 pairs (_) D6,I6: 3.. / D6 = 3 ==> 0 pairs (_) / I6 = 3 ==> 1 pairs (_) D4,G4: 3.. / D4 = 3 ==> 1 pairs (_) / G4 = 3 ==> 0 pairs (_) C2,I2: 3.. / C2 = 3 ==> 1 pairs (_) / I2 = 3 ==> 0 pairs (_) C1,G1: 3.. / C1 = 3 ==> 0 pairs (_) / G1 = 3 ==> 1 pairs (_) G4,I6: 3.. / G4 = 3 ==> 0 pairs (_) / I6 = 3 ==> 1 pairs (_) D4,D6: 3.. / D4 = 3 ==> 1 pairs (_) / D6 = 3 ==> 0 pairs (_) G1,I2: 3.. / G1 = 3 ==> 1 pairs (_) / I2 = 3 ==> 0 pairs (_) C1,C2: 3.. / C1 = 3 ==> 0 pairs (_) / C2 = 3 ==> 1 pairs (_) * DURATION: 0:02:03.801279 START: 17:14:22.848823 END: 17:16:26.650102 2020-11-28 * REASONING B5,B6: 7.. * DIS # B5: 7 # G4: 6,9 => CTR => G4: 2,3,7 * DIS # B5: 7 + G4: 2,3,7 # C5: 6,9 => CTR => C5: 4,8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 # I6: 1,6 => CTR => I6: 2,3,7 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # D8: 1,8 => CTR => D8: 2,6,7 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # E9: 1,4 => CTR => E9: 2,6 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 # E7: 7 => CTR => E7: 1,4 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 # G4: 2,7 => CTR => G4: 3 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 # H1: 2,7 => CTR => H1: 8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 # D7: 7,8 => CTR => D7: 1,9 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 + D7: 1,9 => CTR => B5: 4,8,9 * STA B5: 4,8,9 * CNT 10 HDP CHAINS / 27 HYP OPENED * DCP COUNT: (13) * CLUE FOUND
Header Info
1480;347;elev;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B5,B6: 7..:
* INC # B5: 7 # A6: 2,8 => UNS * INC # B5: 7 # A6: 6 => UNS * INC # B5: 7 # B1: 2,8 => UNS * INC # B5: 7 # B3: 2,8 => UNS * DIS # B5: 7 # G4: 6,9 => CTR => G4: 2,3,7 * DIS # B5: 7 + G4: 2,3,7 # C5: 6,9 => CTR => C5: 4,8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 # I6: 1,6 => CTR => I6: 2,3,7 * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # C3: 4,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # C8: 4,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # A6: 2,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # A6: 6 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # B1: 2,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # B3: 2,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # D7: 1,8 => UNS * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 # D8: 1,8 => CTR => D8: 2,6,7 * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # D9: 1,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # D7: 1,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # D9: 1,8 => UNS * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # E7: 1,4 => UNS * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 # E9: 1,4 => CTR => E9: 2,6 * INC # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 # E7: 1,4 => UNS * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 # E7: 7 => CTR => E7: 1,4 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 # G4: 2,7 => CTR => G4: 3 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 # H1: 2,7 => CTR => H1: 8 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 # D7: 7,8 => CTR => D7: 1,9 * DIS # B5: 7 + G4: 2,3,7 + C5: 4,8 + I6: 2,3,7 + D8: 2,6,7 + E9: 2,6 + E7: 1,4 + G4: 3 + H1: 8 + D7: 1,9 => CTR => B5: 4,8,9 * INC B5: 4,8,9 # B6: 7 => UNS * STA B5: 4,8,9 * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for G8,I8: 5..:
* INC # G8: 5 # G1: 2,8 => UNS * INC # G8: 5 # H1: 2,8 => UNS * INC # G8: 5 # B3: 2,8 => UNS * INC # G8: 5 # B3: 4,5,9 => UNS * INC # G8: 5 # G9: 2,8 => UNS * INC # G8: 5 # G9: 6,9 => UNS * INC # G8: 5 => UNS * INC # I8: 5 # H2: 2,4 => UNS * INC # I8: 5 # I2: 2,4 => UNS * INC # I8: 5 # B3: 2,4 => UNS * INC # I8: 5 # B3: 5,8,9 => UNS * INC # I8: 5 # I9: 2,4 => UNS * INC # I8: 5 # I9: 1,6 => UNS * INC # I8: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D4,E4: 5..:
* INC # D4: 5 # A1: 2,8 => UNS * INC # D4: 5 # B3: 2,8 => UNS * INC # D4: 5 # G1: 2,8 => UNS * INC # D4: 5 # H1: 2,8 => UNS * INC # D4: 5 # B6: 2,8 => UNS * INC # D4: 5 # B6: 7 => UNS * INC # D4: 5 => UNS * INC # E4: 5 # E1: 1,2 => UNS * INC # E4: 5 # D3: 1,2 => UNS * INC # E4: 5 # E9: 1,2 => UNS * INC # E4: 5 # E9: 4,6 => UNS * INC # E4: 5 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for I2,I6: 3..:
* INC # I6: 3 # E1: 1,2 => UNS * INC # I6: 3 # D3: 1,2 => UNS * INC # I6: 3 # E9: 1,2 => UNS * INC # I6: 3 # E9: 4,6 => UNS * INC # I6: 3 => UNS * INC # I2: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G1,G4: 3..:
* INC # G1: 3 # E1: 1,2 => UNS * INC # G1: 3 # D3: 1,2 => UNS * INC # G1: 3 # E9: 1,2 => UNS * INC # G1: 3 # E9: 4,6 => UNS * INC # G1: 3 => UNS * INC # G4: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D6,I6: 3..:
* INC # I6: 3 # E1: 1,2 => UNS * INC # I6: 3 # D3: 1,2 => UNS * INC # I6: 3 # E9: 1,2 => UNS * INC # I6: 3 # E9: 4,6 => UNS * INC # I6: 3 => UNS * INC # D6: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D4,G4: 3..:
* INC # D4: 3 # E1: 1,2 => UNS * INC # D4: 3 # D3: 1,2 => UNS * INC # D4: 3 # E9: 1,2 => UNS * INC # D4: 3 # E9: 4,6 => UNS * INC # D4: 3 => UNS * INC # G4: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C2,I2: 3..:
* INC # C2: 3 # E1: 1,2 => UNS * INC # C2: 3 # D3: 1,2 => UNS * INC # C2: 3 # E9: 1,2 => UNS * INC # C2: 3 # E9: 4,6 => UNS * INC # C2: 3 => UNS * INC # I2: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C1,G1: 3..:
* INC # G1: 3 # E1: 1,2 => UNS * INC # G1: 3 # D3: 1,2 => UNS * INC # G1: 3 # E9: 1,2 => UNS * INC # G1: 3 # E9: 4,6 => UNS * INC # G1: 3 => UNS * INC # C1: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G4,I6: 3..:
* INC # I6: 3 # E1: 1,2 => UNS * INC # I6: 3 # D3: 1,2 => UNS * INC # I6: 3 # E9: 1,2 => UNS * INC # I6: 3 # E9: 4,6 => UNS * INC # I6: 3 => UNS * INC # G4: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D4,D6: 3..:
* INC # D4: 3 # E1: 1,2 => UNS * INC # D4: 3 # D3: 1,2 => UNS * INC # D4: 3 # E9: 1,2 => UNS * INC # D4: 3 # E9: 4,6 => UNS * INC # D4: 3 => UNS * INC # D6: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G1,I2: 3..:
* INC # G1: 3 # E1: 1,2 => UNS * INC # G1: 3 # D3: 1,2 => UNS * INC # G1: 3 # E9: 1,2 => UNS * INC # G1: 3 # E9: 4,6 => UNS * INC # G1: 3 => UNS * INC # I2: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C1,C2: 3..:
* INC # C2: 3 # E1: 1,2 => UNS * INC # C2: 3 # D3: 1,2 => UNS * INC # C2: 3 # E9: 1,2 => UNS * INC # C2: 3 # E9: 4,6 => UNS * INC # C2: 3 => UNS * INC # C1: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED