Analysis of xx-ph-00026403-KC40b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75..4......3..8.7.8....9.3.....2...6......1..3...8...1.7...5.8....4....2 initial
Autosolve
position: 98.7..6..75..4......3..8.7.8....9.3.....2...6......1..3...8...1.7...5.8...84....2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000005
List of important HDP chains detected for C7,A9: 5..:
* DIS # A9: 5 # C5: 1,4 => CTR => C5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for C5,F5: 7..:
* DIS # F5: 7 # D7: 2,6 => CTR => D7: 9 * DIS # F5: 7 + D7: 9 # H1: 4,5 => CTR => H1: 1,2 * DIS # F5: 7 + D7: 9 + H1: 1,2 # I1: 4,5 => CTR => I1: 3 * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # B7: 2,6 => CTR => B7: 4 * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 + B7: 4 => CTR => F5: 1,3,4 * STA F5: 1,3,4 * 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..75..4......3..8.7.8....9.3.....2...6......1..3...8...1.7...5.8....4....2 | initial |
| 98.7..6..75..4......3..8.7.8....9.3.....2...6......1..3...8...1.7...5.8...84....2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 4 pairs (_) / H2 = 1 => 1 pairs (_) G4,H6: 2.. / G4 = 2 => 2 pairs (_) / H6 = 2 => 2 pairs (_) B5,B6: 3.. / B5 = 3 => 0 pairs (_) / B6 = 3 => 0 pairs (_) F5,F6: 4.. / F5 = 4 => 2 pairs (_) / F6 = 4 => 0 pairs (_) C7,A9: 5.. / C7 = 5 => 1 pairs (_) / A9 = 5 => 2 pairs (_) H7,H9: 6.. / H7 = 6 => 3 pairs (_) / H9 = 6 => 2 pairs (_) I4,I6: 7.. / I4 = 7 => 0 pairs (_) / I6 = 7 => 3 pairs (_) G7,G9: 7.. / G7 = 7 => 1 pairs (_) / G9 = 7 => 0 pairs (_) C5,F5: 7.. / C5 = 7 => 0 pairs (_) / F5 = 7 => 1 pairs (_) F7,G7: 7.. / F7 = 7 => 0 pairs (_) / G7 = 7 => 1 pairs (_) G2,I2: 8.. / G2 = 8 => 2 pairs (_) / I2 = 8 => 0 pairs (_) D5,D6: 8.. / D5 = 8 => 2 pairs (_) / D6 = 8 => 0 pairs (_) G5,I6: 8.. / G5 = 8 => 0 pairs (_) / I6 = 8 => 2 pairs (_) D5,G5: 8.. / D5 = 8 => 2 pairs (_) / G5 = 8 => 0 pairs (_) D6,I6: 8.. / D6 = 8 => 0 pairs (_) / I6 = 8 => 2 pairs (_) G2,G5: 8.. / G2 = 8 => 2 pairs (_) / G5 = 8 => 0 pairs (_) I2,I6: 8.. / I2 = 8 => 0 pairs (_) / I6 = 8 => 2 pairs (_) * DURATION: 0:00:11.069801 START: 02:29:39.599404 END: 02:29:50.669205 2020-12-09 * CP COUNT: (17) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,H2: 1.. / H1 = 1 ==> 4 pairs (_) / H2 = 1 ==> 1 pairs (_) H7,H9: 6.. / H7 = 6 ==> 3 pairs (_) / H9 = 6 ==> 2 pairs (_) I4,I6: 7.. / I4 = 7 ==> 0 pairs (_) / I6 = 7 ==> 3 pairs (_) G4,H6: 2.. / G4 = 2 ==> 2 pairs (_) / H6 = 2 ==> 2 pairs (_) C7,A9: 5.. / C7 = 5 ==> 1 pairs (_) / A9 = 5 ==> 2 pairs (_) I2,I6: 8.. / I2 = 8 ==> 0 pairs (_) / I6 = 8 ==> 2 pairs (_) G2,G5: 8.. / G2 = 8 ==> 2 pairs (_) / G5 = 8 ==> 0 pairs (_) D6,I6: 8.. / D6 = 8 ==> 0 pairs (_) / I6 = 8 ==> 2 pairs (_) D5,G5: 8.. / D5 = 8 ==> 2 pairs (_) / G5 = 8 ==> 0 pairs (_) G5,I6: 8.. / G5 = 8 ==> 0 pairs (_) / I6 = 8 ==> 2 pairs (_) D5,D6: 8.. / D5 = 8 ==> 2 pairs (_) / D6 = 8 ==> 0 pairs (_) G2,I2: 8.. / G2 = 8 ==> 2 pairs (_) / I2 = 8 ==> 0 pairs (_) F5,F6: 4.. / F5 = 4 ==> 2 pairs (_) / F6 = 4 ==> 0 pairs (_) F7,G7: 7.. / F7 = 7 ==> 0 pairs (_) / G7 = 7 ==> 1 pairs (_) C5,F5: 7.. / C5 = 7 => 0 pairs (_) / F5 = 7 ==> 0 pairs (X) G7,G9: 7.. / G7 = 7 ==> 1 pairs (_) / G9 = 7 ==> 0 pairs (_) B5,B6: 3.. / B5 = 3 ==> 0 pairs (_) / B6 = 3 ==> 0 pairs (_) * DURATION: 0:01:53.307165 START: 02:29:50.669850 END: 02:31:43.977015 2020-12-09 * REASONING C7,A9: 5.. * DIS # A9: 5 # C5: 1,4 => CTR => C5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED * REASONING C5,F5: 7.. * DIS # F5: 7 # D7: 2,6 => CTR => D7: 9 * DIS # F5: 7 + D7: 9 # H1: 4,5 => CTR => H1: 1,2 * DIS # F5: 7 + D7: 9 + H1: 1,2 # I1: 4,5 => CTR => I1: 3 * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # B7: 2,6 => CTR => B7: 4 * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 + B7: 4 => CTR => F5: 1,3,4 * STA F5: 1,3,4 * CNT 5 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (17) * CLUE FOUND
Header Info
26403;KC40b;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H2: 1..:
* INC # H1: 1 # A3: 2,4 => UNS * INC # H1: 1 # B3: 2,4 => UNS * INC # H1: 1 # C4: 2,4 => UNS * INC # H1: 1 # C6: 2,4 => UNS * INC # H1: 1 # C7: 2,4 => UNS * INC # H1: 1 # C8: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # I1: 4 => UNS * INC # H1: 1 # E6: 3,5 => UNS * INC # H1: 1 # E6: 6,7 => UNS * INC # H1: 1 # D2: 2,3 => UNS * INC # H1: 1 # F2: 2,3 => UNS * INC # H1: 1 # G2: 2,9 => UNS * INC # H1: 1 # G3: 2,9 => UNS * INC # H1: 1 # D2: 2,9 => UNS * INC # H1: 1 # D2: 1,3,6 => UNS * INC # H1: 1 # H6: 2,9 => UNS * INC # H1: 1 # H6: 4,5 => UNS * INC # H1: 1 => UNS * INC # H2: 1 # A3: 2,6 => UNS * INC # H2: 1 # B3: 2,6 => UNS * INC # H2: 1 # D2: 2,6 => UNS * INC # H2: 1 # F2: 2,6 => UNS * INC # H2: 1 # C4: 2,6 => UNS * INC # H2: 1 # C6: 2,6 => UNS * INC # H2: 1 # C7: 2,6 => UNS * INC # H2: 1 # C8: 2,6 => UNS * INC # H2: 1 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for H7,H9: 6..:
* INC # H7: 6 # D8: 2,9 => UNS * INC # H7: 6 # D8: 1,3,6 => UNS * INC # H7: 6 # B7: 2,9 => UNS * INC # H7: 6 # C7: 2,9 => UNS * INC # H7: 6 # D2: 2,9 => UNS * INC # H7: 6 # D3: 2,9 => UNS * INC # H7: 6 # G7: 5,9 => UNS * INC # H7: 6 # G9: 5,9 => UNS * INC # H7: 6 # H5: 5,9 => UNS * INC # H7: 6 # H6: 5,9 => UNS * INC # H7: 6 => UNS * INC # H9: 6 # A5: 1,5 => UNS * INC # H9: 6 # A5: 4 => UNS * INC # H9: 6 # C8: 1,9 => UNS * INC # H9: 6 # C8: 2,4,6 => UNS * INC # H9: 6 # E9: 1,9 => UNS * INC # H9: 6 # E9: 3,7 => UNS * INC # H9: 6 # B5: 1,9 => UNS * INC # H9: 6 # B5: 3,4 => UNS * INC # H9: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for I4,I6: 7..:
* INC # I6: 7 # H1: 1,2 => UNS * INC # I6: 7 # H1: 4,5 => UNS * INC # I6: 7 # C2: 1,2 => UNS * INC # I6: 7 # D2: 1,2 => UNS * INC # I6: 7 # F2: 1,2 => UNS * INC # I6: 7 # G4: 4,5 => UNS * INC # I6: 7 # H5: 4,5 => UNS * INC # I6: 7 # H6: 4,5 => UNS * INC # I6: 7 # C4: 4,5 => UNS * INC # I6: 7 # C4: 1,2,6,7 => UNS * INC # I6: 7 # I1: 4,5 => UNS * INC # I6: 7 # I3: 4,5 => UNS * INC # I6: 7 # H7: 5,6 => UNS * INC # I6: 7 # H7: 4 => UNS * INC # I6: 7 # A9: 5,6 => UNS * INC # I6: 7 # A9: 1 => UNS * INC # I6: 7 => UNS * INC # I4: 7 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for G4,H6: 2..:
* INC # G4: 2 # C1: 1,2 => UNS * INC # G4: 2 # F1: 1,2 => UNS * INC # G4: 2 # C2: 1,2 => UNS * INC # G4: 2 # D2: 1,2 => UNS * INC # G4: 2 # F2: 1,2 => UNS * INC # G4: 2 => UNS * INC # H6: 2 # D2: 1,9 => UNS * INC # H6: 2 # D2: 2,3,6 => UNS * INC # H6: 2 # I4: 4,5 => UNS * INC # H6: 2 # G5: 4,5 => UNS * INC # H6: 2 # H5: 4,5 => UNS * INC # H6: 2 # I6: 4,5 => UNS * INC # H6: 2 # C4: 4,5 => UNS * INC # H6: 2 # C4: 1,2,6,7 => UNS * INC # H6: 2 # G3: 4,5 => UNS * INC # H6: 2 # G7: 4,5 => UNS * INC # H6: 2 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for C7,A9: 5..:
* INC # A9: 5 # B4: 1,4 => UNS * INC # A9: 5 # C4: 1,4 => UNS * INC # A9: 5 # B5: 1,4 => UNS * DIS # A9: 5 # C5: 1,4 => CTR => C5: 5,7,9 * INC # A9: 5 + C5: 5,7,9 # F5: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # F5: 3,7 => UNS * INC # A9: 5 + C5: 5,7,9 # A3: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # A8: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # B4: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # C4: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # B5: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # F5: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # F5: 3,7 => UNS * INC # A9: 5 + C5: 5,7,9 # A3: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # A8: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # H7: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 # H7: 4,5 => UNS * INC # A9: 5 + C5: 5,7,9 # B9: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 # E9: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 # B4: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # C4: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # B5: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # F5: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # F5: 3,7 => UNS * INC # A9: 5 + C5: 5,7,9 # A3: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # A8: 1,4 => UNS * INC # A9: 5 + C5: 5,7,9 # H7: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 # H7: 4,5 => UNS * INC # A9: 5 + C5: 5,7,9 # B9: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 # E9: 6,9 => UNS * INC # A9: 5 + C5: 5,7,9 => UNS * INC # C7: 5 # A8: 1,6 => UNS * INC # C7: 5 # C8: 1,6 => UNS * INC # C7: 5 # B9: 1,6 => UNS * INC # C7: 5 # E9: 1,6 => UNS * INC # C7: 5 # F9: 1,6 => UNS * INC # C7: 5 # A3: 1,6 => UNS * INC # C7: 5 # A3: 2,4 => UNS * INC # C7: 5 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for I2,I6: 8..:
* INC # I6: 8 # D2: 3,9 => UNS * INC # I6: 8 # D2: 1,2,6 => UNS * INC # I6: 8 # G7: 4,9 => UNS * INC # I6: 8 # H7: 4,9 => UNS * INC # I6: 8 # G8: 4,9 => UNS * INC # I6: 8 # C8: 4,9 => UNS * INC # I6: 8 # C8: 1,2,6 => UNS * INC # I6: 8 # I3: 4,9 => UNS * INC # I6: 8 # I3: 5 => UNS * INC # I6: 8 => UNS * INC # I2: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G2,G5: 8..:
* INC # G2: 8 # D2: 3,9 => UNS * INC # G2: 8 # D2: 1,2,6 => UNS * INC # G2: 8 # G7: 4,9 => UNS * INC # G2: 8 # H7: 4,9 => UNS * INC # G2: 8 # G8: 4,9 => UNS * INC # G2: 8 # C8: 4,9 => UNS * INC # G2: 8 # C8: 1,2,6 => UNS * INC # G2: 8 # I3: 4,9 => UNS * INC # G2: 8 # I3: 5 => UNS * INC # G2: 8 => UNS * INC # G5: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for D6,I6: 8..:
* INC # I6: 8 # D2: 3,9 => UNS * INC # I6: 8 # D2: 1,2,6 => UNS * INC # I6: 8 # G7: 4,9 => UNS * INC # I6: 8 # H7: 4,9 => UNS * INC # I6: 8 # G8: 4,9 => UNS * INC # I6: 8 # C8: 4,9 => UNS * INC # I6: 8 # C8: 1,2,6 => UNS * INC # I6: 8 # I3: 4,9 => UNS * INC # I6: 8 # I3: 5 => UNS * INC # I6: 8 => UNS * INC # D6: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for D5,G5: 8..:
* INC # D5: 8 # D2: 3,9 => UNS * INC # D5: 8 # D2: 1,2,6 => UNS * INC # D5: 8 # G7: 4,9 => UNS * INC # D5: 8 # H7: 4,9 => UNS * INC # D5: 8 # G8: 4,9 => UNS * INC # D5: 8 # C8: 4,9 => UNS * INC # D5: 8 # C8: 1,2,6 => UNS * INC # D5: 8 # I3: 4,9 => UNS * INC # D5: 8 # I3: 5 => UNS * INC # D5: 8 => UNS * INC # G5: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G5,I6: 8..:
* INC # I6: 8 # D2: 3,9 => UNS * INC # I6: 8 # D2: 1,2,6 => UNS * INC # I6: 8 # G7: 4,9 => UNS * INC # I6: 8 # H7: 4,9 => UNS * INC # I6: 8 # G8: 4,9 => UNS * INC # I6: 8 # C8: 4,9 => UNS * INC # I6: 8 # C8: 1,2,6 => UNS * INC # I6: 8 # I3: 4,9 => UNS * INC # I6: 8 # I3: 5 => UNS * INC # I6: 8 => UNS * INC # G5: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for D5,D6: 8..:
* INC # D5: 8 # D2: 3,9 => UNS * INC # D5: 8 # D2: 1,2,6 => UNS * INC # D5: 8 # G7: 4,9 => UNS * INC # D5: 8 # H7: 4,9 => UNS * INC # D5: 8 # G8: 4,9 => UNS * INC # D5: 8 # C8: 4,9 => UNS * INC # D5: 8 # C8: 1,2,6 => UNS * INC # D5: 8 # I3: 4,9 => UNS * INC # D5: 8 # I3: 5 => UNS * INC # D5: 8 => UNS * INC # D6: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # G2: 8 # D2: 3,9 => UNS * INC # G2: 8 # D2: 1,2,6 => UNS * INC # G2: 8 # G7: 4,9 => UNS * INC # G2: 8 # H7: 4,9 => UNS * INC # G2: 8 # G8: 4,9 => UNS * INC # G2: 8 # C8: 4,9 => UNS * INC # G2: 8 # C8: 1,2,6 => UNS * INC # G2: 8 # I3: 4,9 => UNS * INC # G2: 8 # I3: 5 => UNS * INC # G2: 8 => UNS * INC # I2: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for F5,F6: 4..:
* INC # F5: 4 # C4: 1,5 => UNS * INC # F5: 4 # C4: 2,4,6 => UNS * INC # F5: 4 # D5: 1,5 => UNS * INC # F5: 4 # D5: 3,8 => UNS * INC # F5: 4 # A9: 1,5 => UNS * INC # F5: 4 # A9: 6 => UNS * INC # F5: 4 # G5: 5,9 => UNS * INC # F5: 4 # H6: 5,9 => UNS * INC # F5: 4 # I6: 5,9 => UNS * INC # F5: 4 # H7: 5,9 => UNS * INC # F5: 4 # H9: 5,9 => UNS * INC # F5: 4 => UNS * INC # F6: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for F7,G7: 7..:
* INC # G7: 7 # D7: 2,6 => UNS * INC # G7: 7 # D8: 2,6 => UNS * INC # G7: 7 # B7: 2,6 => UNS * INC # G7: 7 # C7: 2,6 => UNS * INC # G7: 7 # F2: 2,6 => UNS * INC # G7: 7 # F2: 1,3 => UNS * INC # G7: 7 => UNS * INC # F7: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C5,F5: 7..:
* DIS # F5: 7 # D7: 2,6 => CTR => D7: 9 * INC # F5: 7 + D7: 9 # D8: 2,6 => UNS * INC # F5: 7 + D7: 9 # D8: 2,6 => UNS * INC # F5: 7 + D7: 9 # D8: 1,3 => UNS * INC # F5: 7 + D7: 9 # B7: 2,6 => UNS * INC # F5: 7 + D7: 9 # C7: 2,6 => UNS * INC # F5: 7 + D7: 9 # F2: 2,6 => UNS * INC # F5: 7 + D7: 9 # F2: 1,3 => UNS * DIS # F5: 7 + D7: 9 # H1: 4,5 => CTR => H1: 1,2 * DIS # F5: 7 + D7: 9 + H1: 1,2 # I1: 4,5 => CTR => I1: 3 * INC # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # I4: 4,5 => UNS * INC # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # I4: 7 => UNS * INC # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # D8: 2,6 => UNS * INC # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # D8: 1,3 => UNS * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 # B7: 2,6 => CTR => B7: 4 * DIS # F5: 7 + D7: 9 + H1: 1,2 + I1: 3 + B7: 4 => CTR => F5: 1,3,4 * INC F5: 1,3,4 # C5: 7 => UNS * STA F5: 1,3,4 * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for G7,G9: 7..:
* INC # G7: 7 # D7: 2,6 => UNS * INC # G7: 7 # D8: 2,6 => UNS * INC # G7: 7 # B7: 2,6 => UNS * INC # G7: 7 # C7: 2,6 => UNS * INC # G7: 7 # F2: 2,6 => UNS * INC # G7: 7 # F2: 1,3 => UNS * INC # G7: 7 => UNS * INC # G9: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B5,B6: 3..:
* INC # B5: 3 => UNS * INC # B6: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED