Analysis of xx-ph-00015708-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.......6.9.7.....6.5...8......4..3......2..7..91..2...1..8..4......3..8..65.. initial
Autosolve
position: 98.7.......6.9.7.....6.5...8......4..3......2..7..91..2...1..8..4......3..8..65.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for G3,G5: 8..:
* DIS # G3: 8 # G4: 6,9 => CTR => G4: 3 * DIS # G3: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G3: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G3: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => G3: 2,3,4,9 * STA G3: 2,3,4,9 * CNT 4 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for G5,I6: 8..:
* DIS # I6: 8 # G4: 6,9 => CTR => G4: 3 * DIS # I6: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # I6: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # I6: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => I6: 5,6 * STA I6: 5,6 * CNT 4 HDP CHAINS / 23 HYP OPENED
List of important HDP chains detected for G4,H6: 3..:
* DIS # G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G4: 3 + A6: 4 + B6: 2 # E6: 5,6 => CTR => E6: 3,8 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 # I6: 8 => CTR => I6: 5,6 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 # A2: 1,5 => CTR => A2: 3 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 + A2: 3 => CTR => G4: 6,9 * STA G4: 6,9 * CNT 6 HDP CHAINS / 11 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.......6.9.7.....6.5...8......4..3......2..7..91..2...1..8..4......3..8..65.. | initial |
| 98.7.......6.9.7.....6.5...8......4..3......2..7..91..2...1..8..4......3..8..65.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H6: 3.. / G4 = 3 => 1 pairs (_) / H6 = 3 => 1 pairs (_) C7,A9: 3.. / C7 = 3 => 2 pairs (_) / A9 = 3 => 1 pairs (_) B7,A8: 6.. / B7 = 6 => 2 pairs (_) / A8 = 6 => 2 pairs (_) A3,B3: 7.. / A3 = 7 => 2 pairs (_) / B3 = 7 => 1 pairs (_) I4,H5: 7.. / I4 = 7 => 0 pairs (_) / H5 = 7 => 0 pairs (_) G5,I6: 8.. / G5 = 8 => 1 pairs (_) / I6 = 8 => 1 pairs (_) G3,G5: 8.. / G3 = 8 => 1 pairs (_) / G5 = 8 => 1 pairs (_) * DURATION: 0:00:04.500611 START: 01:39:56.912233 END: 01:40:01.412844 2020-12-04 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B7,A8: 6.. / B7 = 6 ==> 2 pairs (_) / A8 = 6 ==> 2 pairs (_) A3,B3: 7.. / A3 = 7 ==> 2 pairs (_) / B3 = 7 ==> 1 pairs (_) C7,A9: 3.. / C7 = 3 ==> 2 pairs (_) / A9 = 3 ==> 1 pairs (_) G3,G5: 8.. / G3 = 8 ==> 0 pairs (X) / G5 = 8 => 1 pairs (_) G5,I6: 8.. / G5 = 8 ==> 1 pairs (_) / I6 = 8 ==> 0 pairs (X) G4,H6: 3.. / G4 = 3 ==> 0 pairs (X) / H6 = 3 => 1 pairs (_) I4,H5: 7.. / I4 = 7 ==> 0 pairs (_) / H5 = 7 ==> 0 pairs (_) * DURATION: 0:00:59.014047 START: 01:40:01.413463 END: 01:41:00.427510 2020-12-04 * REASONING G3,G5: 8.. * DIS # G3: 8 # G4: 6,9 => CTR => G4: 3 * DIS # G3: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G3: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G3: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => G3: 2,3,4,9 * STA G3: 2,3,4,9 * CNT 4 HDP CHAINS / 15 HYP OPENED * REASONING G5,I6: 8.. * DIS # I6: 8 # G4: 6,9 => CTR => G4: 3 * DIS # I6: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # I6: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # I6: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => I6: 5,6 * STA I6: 5,6 * CNT 4 HDP CHAINS / 23 HYP OPENED * REASONING G4,H6: 3.. * DIS # G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G4: 3 + A6: 4 + B6: 2 # E6: 5,6 => CTR => E6: 3,8 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 # I6: 8 => CTR => I6: 5,6 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 # A2: 1,5 => CTR => A2: 3 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 + A2: 3 => CTR => G4: 6,9 * STA G4: 6,9 * CNT 6 HDP CHAINS / 11 HYP OPENED * DCP COUNT: (7) * CLUE FOUND
Header Info
15708;Kz1 b;GP;23;11.30;11.30;11.10
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,A8: 6..:
* INC # B7: 6 # B4: 2,5 => UNS * INC # B7: 6 # C4: 2,5 => UNS * INC # B7: 6 # D6: 2,5 => UNS * INC # B7: 6 # E6: 2,5 => UNS * INC # B7: 6 # B2: 2,5 => UNS * INC # B7: 6 # B2: 1 => UNS * INC # B7: 6 # I7: 4,9 => UNS * INC # B7: 6 # I9: 4,9 => UNS * INC # B7: 6 # D7: 4,9 => UNS * INC # B7: 6 # D7: 3,5 => UNS * INC # B7: 6 # G3: 4,9 => UNS * INC # B7: 6 # G3: 2,3,8 => UNS * INC # B7: 6 => UNS * INC # A8: 6 # A5: 4,5 => UNS * INC # A8: 6 # C5: 4,5 => UNS * INC # A8: 6 # D6: 4,5 => UNS * INC # A8: 6 # E6: 4,5 => UNS * INC # A8: 6 # A2: 4,5 => UNS * INC # A8: 6 # A2: 1,3 => UNS * INC # A8: 6 # H8: 2,9 => UNS * INC # A8: 6 # H9: 2,9 => UNS * INC # A8: 6 # D8: 2,9 => UNS * INC # A8: 6 # D8: 5,8 => UNS * INC # A8: 6 # G3: 2,9 => UNS * INC # A8: 6 # G3: 3,4,8 => UNS * INC # A8: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for A3,B3: 7..:
* INC # A3: 7 # C1: 1,2 => UNS * INC # A3: 7 # B2: 1,2 => UNS * INC # A3: 7 # C3: 1,2 => UNS * INC # A3: 7 # H3: 1,2 => UNS * INC # A3: 7 # H3: 3,9 => UNS * INC # A3: 7 # B4: 1,2 => UNS * INC # A3: 7 # B4: 5,6,9 => UNS * INC # A3: 7 # A2: 1,3 => UNS * INC # A3: 7 # A2: 4,5 => UNS * INC # A3: 7 => UNS * INC # B3: 7 # C8: 1,9 => UNS * INC # B3: 7 # C8: 5 => UNS * INC # B3: 7 # H9: 1,9 => UNS * INC # B3: 7 # I9: 1,9 => UNS * INC # B3: 7 # B4: 1,9 => UNS * INC # B3: 7 # B4: 2,5,6 => UNS * INC # B3: 7 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for C7,A9: 3..:
* INC # C7: 3 # A8: 1,7 => UNS * INC # C7: 3 # B9: 1,7 => UNS * INC # C7: 3 # H9: 1,7 => UNS * INC # C7: 3 # I9: 1,7 => UNS * INC # C7: 3 # A3: 1,7 => UNS * INC # C7: 3 # A3: 3,4 => UNS * INC # C7: 3 # E9: 4,7 => UNS * INC # C7: 3 # E9: 2,3 => UNS * INC # C7: 3 # I7: 4,7 => UNS * INC # C7: 3 # I7: 6,9 => UNS * INC # C7: 3 # F5: 4,7 => UNS * INC # C7: 3 # F5: 1,8 => UNS * INC # C7: 3 => UNS * INC # A9: 3 # B7: 5,9 => UNS * INC # A9: 3 # C8: 5,9 => UNS * INC # A9: 3 # D7: 5,9 => UNS * INC # A9: 3 # D7: 3,4 => UNS * INC # A9: 3 # C4: 5,9 => UNS * INC # A9: 3 # C5: 5,9 => UNS * INC # A9: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for G3,G5: 8..:
* DIS # G3: 8 # G4: 6,9 => CTR => G4: 3 * INC # G3: 8 + G4: 3 # I4: 6,9 => UNS * INC # G3: 8 + G4: 3 # H5: 6,9 => UNS * INC # G3: 8 + G4: 3 # G7: 6,9 => UNS * INC # G3: 8 + G4: 3 # G8: 6,9 => UNS * INC # G3: 8 + G4: 3 # I4: 6,9 => UNS * INC # G3: 8 + G4: 3 # H5: 6,9 => UNS * INC # G3: 8 + G4: 3 # G7: 6,9 => UNS * INC # G3: 8 + G4: 3 # G8: 6,9 => UNS * INC # G3: 8 + G4: 3 # I4: 5,6 => UNS * INC # G3: 8 + G4: 3 # H5: 5,6 => UNS * DIS # G3: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G3: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G3: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => G3: 2,3,4,9 * INC G3: 2,3,4,9 # G5: 8 => UNS * STA G3: 2,3,4,9 * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G5,I6: 8..:
* INC # G5: 8 # I4: 5,6 => UNS * INC # G5: 8 # H5: 5,6 => UNS * INC # G5: 8 # H6: 5,6 => UNS * INC # G5: 8 # A6: 5,6 => UNS * INC # G5: 8 # B6: 5,6 => UNS * INC # G5: 8 # E6: 5,6 => UNS * INC # G5: 8 # I1: 5,6 => UNS * INC # G5: 8 # I1: 1,4 => UNS * INC # G5: 8 => UNS * DIS # I6: 8 # G4: 6,9 => CTR => G4: 3 * INC # I6: 8 + G4: 3 # I4: 6,9 => UNS * INC # I6: 8 + G4: 3 # H5: 6,9 => UNS * INC # I6: 8 + G4: 3 # G7: 6,9 => UNS * INC # I6: 8 + G4: 3 # G8: 6,9 => UNS * INC # I6: 8 + G4: 3 # I4: 6,9 => UNS * INC # I6: 8 + G4: 3 # H5: 6,9 => UNS * INC # I6: 8 + G4: 3 # G7: 6,9 => UNS * INC # I6: 8 + G4: 3 # G8: 6,9 => UNS * INC # I6: 8 + G4: 3 # I4: 5,6 => UNS * INC # I6: 8 + G4: 3 # H5: 5,6 => UNS * DIS # I6: 8 + G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # I6: 8 + G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # I6: 8 + G4: 3 + A6: 4 + B6: 2 => CTR => I6: 5,6 * STA I6: 5,6 * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for G4,H6: 3..:
* INC # G4: 3 # I4: 5,6 => UNS * INC # G4: 3 # H5: 5,6 => UNS * INC # G4: 3 # I6: 5,6 => UNS * DIS # G4: 3 # A6: 5,6 => CTR => A6: 4 * DIS # G4: 3 + A6: 4 # B6: 5,6 => CTR => B6: 2 * DIS # G4: 3 + A6: 4 + B6: 2 # E6: 5,6 => CTR => E6: 3,8 * INC # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 # I6: 5,6 => UNS * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 # I6: 8 => CTR => I6: 5,6 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 # A2: 1,5 => CTR => A2: 3 * DIS # G4: 3 + A6: 4 + B6: 2 + E6: 3,8 + I6: 5,6 + A2: 3 => CTR => G4: 6,9 * INC G4: 6,9 # H6: 3 => UNS * STA G4: 6,9 * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for I4,H5: 7..:
* INC # I4: 7 => UNS * INC # H5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED