Analysis of xx-ph-00011333-kz0-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....7....7.5.....7..4..3...69..8.......2..1.4...1.2...84..5......3...4 initial
Autosolve
position: 98.7.....6.....7....7.5.....7..4..3...69..8.......2..1.4...1.2...84..5......3...4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for D4,E5: 1..:
* DIS # D4: 1 # A5: 3,5 => CTR => A5: 1,2,4 * DIS # D4: 1 + A5: 1,2,4 # B5: 3,5 => CTR => B5: 1,2 * CNT 2 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for B8,B9: 6..:
* DIS # B8: 6 # E8: 7,9 => CTR => E8: 2 * CNT 1 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for A5,H5: 4..:
* DIS # A5: 4 # I5: 5,7 => CTR => I5: 2 * DIS # A5: 4 + I5: 2 # G6: 6,9 => CTR => G6: 4 * PRF # A5: 4 + I5: 2 + G6: 4 # G7: 6,9 => SOL * STA # A5: 4 + I5: 2 + G6: 4 + G7: 6,9 * CNT 3 HDP CHAINS / 12 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....7.5.....7..4..3...69..8.......2..1.4...1.2...84..5......3...4 | initial |
| 98.7.....6.....7....7.5.....7..4..3...69..8.......2..1.4...1.2...84..5......3...4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E5: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 4 pairs (_) / E5 = 1 => 1 pairs (_) E8,D9: 2.. / E8 = 2 => 2 pairs (_) / D9 = 2 => 1 pairs (_) F5,D6: 3.. / F5 = 3 => 2 pairs (_) / D6 = 3 => 3 pairs (_) A5,H5: 4.. / A5 = 4 => 2 pairs (_) / H5 = 4 => 2 pairs (_) B8,B9: 6.. / B8 = 6 => 2 pairs (_) / B9 = 6 => 2 pairs (_) E6,H6: 7.. / E6 = 7 => 2 pairs (_) / H6 = 7 => 4 pairs (_) A4,A6: 8.. / A4 = 8 => 2 pairs (_) / A6 = 8 => 2 pairs (_) I7,H9: 8.. / I7 = 8 => 2 pairs (_) / H9 = 8 => 1 pairs (_) * DURATION: 0:00:04.454726 START: 15:57:15.557857 END: 15:57:20.012583 2020-12-01 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E6,H6: 7.. / E6 = 7 ==> 2 pairs (_) / H6 = 7 ==> 4 pairs (_) D4,E5: 1.. / D4 = 1 ==> 5 pairs (_) / E5 = 1 ==> 1 pairs (_) F5,D6: 3.. / F5 = 3 ==> 2 pairs (_) / D6 = 3 ==> 3 pairs (_) A4,A6: 8.. / A4 = 8 ==> 2 pairs (_) / A6 = 8 ==> 2 pairs (_) B8,B9: 6.. / B8 = 6 ==> 3 pairs (_) / B9 = 6 ==> 2 pairs (_) A5,H5: 4.. / A5 = 4 ==> 0 pairs (*) / H5 = 4 => 0 pairs (X) * DURATION: 0:00:55.901122 START: 15:57:20.581913 END: 15:58:16.483035 2020-12-01 * REASONING D4,E5: 1.. * DIS # D4: 1 # A5: 3,5 => CTR => A5: 1,2,4 * DIS # D4: 1 + A5: 1,2,4 # B5: 3,5 => CTR => B5: 1,2 * CNT 2 HDP CHAINS / 38 HYP OPENED * REASONING B8,B9: 6.. * DIS # B8: 6 # E8: 7,9 => CTR => E8: 2 * CNT 1 HDP CHAINS / 25 HYP OPENED * REASONING A5,H5: 4.. * DIS # A5: 4 # I5: 5,7 => CTR => I5: 2 * DIS # A5: 4 + I5: 2 # G6: 6,9 => CTR => G6: 4 * PRF # A5: 4 + I5: 2 + G6: 4 # G7: 6,9 => SOL * STA # A5: 4 + I5: 2 + G6: 4 + G7: 6,9 * CNT 3 HDP CHAINS / 12 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
11333;kz0;GP;23;11.30;11.30;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E6,H6: 7..:
* INC # H6: 7 # D4: 6,8 => UNS * INC # H6: 7 # F4: 6,8 => UNS * INC # H6: 7 # D6: 6,8 => UNS * INC # H6: 7 # E7: 6,8 => UNS * INC # H6: 7 # E7: 7,9 => UNS * INC # H6: 7 # A5: 4,5 => UNS * INC # H6: 7 # A5: 1,2,3 => UNS * INC # H6: 7 # H1: 4,5 => UNS * INC # H6: 7 # H2: 4,5 => UNS * INC # H6: 7 # I4: 2,5 => UNS * INC # H6: 7 # I4: 6,9 => UNS * INC # H6: 7 # A5: 2,5 => UNS * INC # H6: 7 # B5: 2,5 => UNS * INC # H6: 7 # I1: 2,5 => UNS * INC # H6: 7 # I2: 2,5 => UNS * INC # H6: 7 => UNS * INC # E6: 7 # D3: 2,6 => UNS * INC # E6: 7 # D3: 1,3,8 => UNS * INC # E6: 7 # G1: 2,6 => UNS * INC # E6: 7 # I1: 2,6 => UNS * INC # E6: 7 # E8: 2,6 => UNS * INC # E6: 7 # E8: 9 => UNS * INC # E6: 7 # D6: 3,5 => UNS * INC # E6: 7 # D6: 6,8 => UNS * INC # E6: 7 # A5: 3,5 => UNS * INC # E6: 7 # B5: 3,5 => UNS * INC # E6: 7 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for D4,E5: 1..:
* INC # D4: 1 # D6: 3,5 => UNS * INC # D4: 1 # D6: 6,8 => UNS * DIS # D4: 1 # A5: 3,5 => CTR => A5: 1,2,4 * DIS # D4: 1 + A5: 1,2,4 # B5: 3,5 => CTR => B5: 1,2 * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # F4: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # D6: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # E7: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # E7: 9 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # H1: 4,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # H2: 4,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # I1: 2,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # I2: 2,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # F3: 4,6 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # F3: 8,9 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # G1: 4,6 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # H1: 4,6 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # A5: 1,2 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # A5: 4 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # B2: 1,2 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # B3: 1,2 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # B8: 1,2 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # B9: 1,2 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # F4: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # D6: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # E7: 6,8 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # E7: 9 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # H1: 4,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # H2: 4,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # I1: 2,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 # I2: 2,5 => UNS * INC # D4: 1 + A5: 1,2,4 + B5: 1,2 => UNS * INC # E5: 1 # D3: 2,6 => UNS * INC # E5: 1 # D3: 1,3,8 => UNS * INC # E5: 1 # G1: 2,6 => UNS * INC # E5: 1 # I1: 2,6 => UNS * INC # E5: 1 # E8: 2,6 => UNS * INC # E5: 1 # E8: 7,9 => UNS * INC # E5: 1 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for F5,D6: 3..:
* INC # D6: 3 # C4: 5,9 => UNS * INC # D6: 3 # C6: 5,9 => UNS * INC # D6: 3 # H6: 5,9 => UNS * INC # D6: 3 # H6: 4,6,7 => UNS * INC # D6: 3 # B9: 5,9 => UNS * INC # D6: 3 # B9: 1,2,6 => UNS * INC # D6: 3 # H5: 5,7 => UNS * INC # D6: 3 # I5: 5,7 => UNS * INC # D6: 3 # F9: 5,7 => UNS * INC # D6: 3 # F9: 6,8,9 => UNS * INC # D6: 3 => UNS * INC # F5: 3 # F3: 4,6 => UNS * INC # F5: 3 # F3: 8,9 => UNS * INC # F5: 3 # G1: 4,6 => UNS * INC # F5: 3 # H1: 4,6 => UNS * INC # F5: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A4,A6: 8..:
* INC # A4: 8 # D4: 5,6 => UNS * INC # A4: 8 # D6: 5,6 => UNS * INC # A4: 8 # I4: 5,6 => UNS * INC # A4: 8 # I4: 2,9 => UNS * INC # A4: 8 # F9: 5,6 => UNS * INC # A4: 8 # F9: 7,8,9 => UNS * INC # A4: 8 => UNS * INC # A6: 8 # H6: 6,7 => UNS * INC # A6: 8 # H6: 4,5,9 => UNS * INC # A6: 8 # E7: 6,7 => UNS * INC # A6: 8 # E8: 6,7 => UNS * INC # A6: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for B8,B9: 6..:
* INC # B8: 6 # E7: 7,9 => UNS * DIS # B8: 6 # E8: 7,9 => CTR => E8: 2 * INC # B8: 6 + E8: 2 # F9: 7,9 => UNS * INC # B8: 6 + E8: 2 # H8: 7,9 => UNS * INC # B8: 6 + E8: 2 # I8: 7,9 => UNS * INC # B8: 6 + E8: 2 # E7: 7,9 => UNS * INC # B8: 6 + E8: 2 # F9: 7,9 => UNS * INC # B8: 6 + E8: 2 # H8: 7,9 => UNS * INC # B8: 6 + E8: 2 # I8: 7,9 => UNS * INC # B8: 6 + E8: 2 # D3: 1,6 => UNS * INC # B8: 6 + E8: 2 # D3: 2,3,8 => UNS * INC # B8: 6 + E8: 2 # G1: 1,6 => UNS * INC # B8: 6 + E8: 2 # H1: 1,6 => UNS * INC # B8: 6 + E8: 2 # E7: 7,9 => UNS * INC # B8: 6 + E8: 2 # F9: 7,9 => UNS * INC # B8: 6 + E8: 2 # H8: 7,9 => UNS * INC # B8: 6 + E8: 2 # I8: 7,9 => UNS * INC # B8: 6 + E8: 2 => UNS * INC # B9: 6 # H8: 1,9 => UNS * INC # B9: 6 # H9: 1,9 => UNS * INC # B9: 6 # C9: 1,9 => UNS * INC # B9: 6 # C9: 2,5 => UNS * INC # B9: 6 # G3: 1,9 => UNS * INC # B9: 6 # G3: 2,3,4,6 => UNS * INC # B9: 6 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for A5,H5: 4..:
* DIS # A5: 4 # I5: 5,7 => CTR => I5: 2 * INC # A5: 4 + I5: 2 # H6: 5,7 => UNS * INC # A5: 4 + I5: 2 # H6: 5,7 => UNS * INC # A5: 4 + I5: 2 # H6: 4,6,9 => UNS * INC # A5: 4 + I5: 2 # F5: 5,7 => UNS * INC # A5: 4 + I5: 2 # F5: 3 => UNS * INC # A5: 4 + I5: 2 # I4: 6,9 => UNS * DIS # A5: 4 + I5: 2 # G6: 6,9 => CTR => G6: 4 * INC # A5: 4 + I5: 2 + G6: 4 # H6: 6,9 => UNS * INC # A5: 4 + I5: 2 + G6: 4 # G3: 6,9 => UNS * PRF # A5: 4 + I5: 2 + G6: 4 # G7: 6,9 => SOL * STA # A5: 4 + I5: 2 + G6: 4 + G7: 6,9 * CNT 11 HDP CHAINS / 12 HYP OPENED