Analysis of xx-ph-01115306-13_09-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. initial
Autosolve
position: 98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for H4,I4: 2..:
* DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3 * DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2 * CNT 2 HDP CHAINS / 37 HYP OPENED
List of important HDP chains detected for E3,F3: 9..:
* DIS # F3: 9 # A3: 1,2 => CTR => A3: 5 * DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7 * DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8 * STA F3: 6,8 * CNT 11 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for F1,F3: 6..:
* DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9 * DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2 * CNT 2 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for C4,C6: 9..:
* PRF # C4: 9 # H4: 4 => SOL * STA # C4: 9 + H4: 4 * CNT 1 HDP CHAINS / 3 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...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. | initial |
| 98.7.....6...5.9....4....3.7..6..8....2.....3.....2.1..9...1..4...98........6.5.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,I4: 2.. / H4 = 2 => 2 pairs (_) / I4 = 2 => 0 pairs (_) G7,G8: 3.. / G7 = 3 => 2 pairs (_) / G8 = 3 => 0 pairs (_) D7,F8: 5.. / D7 = 5 => 0 pairs (_) / F8 = 5 => 1 pairs (_) F1,F3: 6.. / F1 = 6 => 1 pairs (_) / F3 = 6 => 1 pairs (_) E3,F3: 9.. / E3 = 9 => 1 pairs (_) / F3 = 9 => 1 pairs (_) C4,C6: 9.. / C4 = 9 => 1 pairs (_) / C6 = 9 => 0 pairs (_) H9,I9: 9.. / H9 = 9 => 0 pairs (_) / I9 = 9 => 1 pairs (_) * DURATION: 0:00:04.602627 START: 06:10:56.107513 END: 06:11:00.710140 2020-10-23 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G7,G8: 3.. / G7 = 3 ==> 2 pairs (_) / G8 = 3 ==> 0 pairs (_) H4,I4: 2.. / H4 = 2 ==> 3 pairs (_) / I4 = 2 ==> 0 pairs (_) E3,F3: 9.. / E3 = 9 ==> 1 pairs (_) / F3 = 9 ==> 0 pairs (X) F1,F3: 6.. / F1 = 6 ==> 1 pairs (_) / F3 = 6 ==> 3 pairs (_) H9,I9: 9.. / H9 = 9 ==> 0 pairs (_) / I9 = 9 ==> 1 pairs (_) C4,C6: 9.. / C4 = 9 ==> 0 pairs (*) / C6 = 9 => 0 pairs (X) * DURATION: 0:01:04.126014 START: 06:11:00.710998 END: 06:12:04.837012 2020-10-23 * REASONING H4,I4: 2.. * DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3 * DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2 * CNT 2 HDP CHAINS / 37 HYP OPENED * REASONING E3,F3: 9.. * DIS # F3: 9 # A3: 1,2 => CTR => A3: 5 * DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7 * DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8 * STA F3: 6,8 * CNT 11 HDP CHAINS / 27 HYP OPENED * REASONING F1,F3: 6.. * DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9 * DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2 * CNT 2 HDP CHAINS / 28 HYP OPENED * REASONING C4,C6: 9.. * PRF # C4: 9 # H4: 4 => SOL * STA # C4: 9 + H4: 4 * CNT 1 HDP CHAINS / 3 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
1115306;13_09;GP;22;11.40;11.40;9.70
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G7,G8: 3..:
* INC # G7: 3 # A7: 2,5 => UNS * INC # G7: 3 # A7: 8 => UNS * INC # G7: 3 # H7: 2,7 => UNS * INC # G7: 3 # H7: 6,8 => UNS * INC # G7: 3 => UNS * INC # G8: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H4,I4: 2..:
* INC # H4: 2 # H5: 5,9 => UNS * INC # H4: 2 # I6: 5,9 => UNS * INC # H4: 2 # C4: 5,9 => UNS * INC # H4: 2 # F4: 5,9 => UNS * INC # H4: 2 # G7: 6,7 => UNS * INC # H4: 2 # H7: 6,7 => UNS * DIS # H4: 2 # G8: 6,7 => CTR => G8: 1,2,3 * DIS # H4: 2 + G8: 1,2,3 # I8: 6,7 => CTR => I8: 1,2 * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G7: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H7: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I6: 5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C4: 5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # F4: 5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G7: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H7: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # C8: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 6,7 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # H5: 4,5,9 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # G8: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I9: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # A8: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # B8: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I1: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I2: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 # I3: 1,2 => UNS * INC # H4: 2 + G8: 1,2,3 + I8: 1,2 => UNS * INC # I4: 2 => UNS * CNT 37 HDP CHAINS / 37 HYP OPENED
Full list of HDP chains traversed for E3,F3: 9..:
* INC # E3: 9 # I3: 6,8 => UNS * INC # E3: 9 # I3: 1,2,5,7 => UNS * INC # E3: 9 => UNS * INC # F3: 9 # E1: 1,2 => UNS * INC # F3: 9 # D2: 1,2 => UNS * INC # F3: 9 # D3: 1,2 => UNS * DIS # F3: 9 # A3: 1,2 => CTR => A3: 5 * DIS # F3: 9 + A3: 5 # B3: 1,2 => CTR => B3: 7 * DIS # F3: 9 + A3: 5 + B3: 7 # G3: 1,2 => CTR => G3: 6 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 # I3: 1,2 => CTR => I3: 8 * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # D2: 3,4 => UNS * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 # F2: 3,4 => CTR => F2: 8 * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E4: 3,4 => UNS * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 # E6: 3,4 => CTR => E6: 7,9 * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 3,4 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 1 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 3,4 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # E4: 1 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # I1: 1,2 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # I1: 5 => UNS * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 1,2 => UNS * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 # G8: 3 => CTR => G8: 1,2 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 # I1: 1,2 => CTR => I1: 5 * INC # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I8: 1,7 => UNS * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 # I9: 1,7 => CTR => I9: 2,9 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 # C6: 5,9 => CTR => C6: 8 * DIS # F3: 9 + A3: 5 + B3: 7 + G3: 6 + I3: 8 + F2: 8 + E6: 7,9 + G8: 1,2 + I1: 5 + I9: 2,9 + C6: 8 => CTR => F3: 6,8 * STA F3: 6,8 * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for F1,F3: 6..:
* INC # F1: 6 # F5: 8,9 => UNS * INC # F1: 6 # F5: 4,5,7 => UNS * INC # F1: 6 => UNS * INC # F3: 6 # E1: 3,4 => UNS * INC # F3: 6 # D2: 3,4 => UNS * INC # F3: 6 # F2: 3,4 => UNS * DIS # F3: 6 # F4: 3,4 => CTR => F4: 5,9 * INC # F3: 6 + F4: 5,9 # F8: 3,4 => UNS * INC # F3: 6 + F4: 5,9 # F9: 3,4 => UNS * DIS # F3: 6 + F4: 5,9 # E1: 3,4 => CTR => E1: 1,2 * INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F2: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F8: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F9: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 1,2 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # D3: 1,2 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # G1: 1,2 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # I1: 1,2 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # D2: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F2: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F8: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F9: 3,4 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F5: 5,9 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # F5: 7,8 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # C4: 5,9 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # H4: 5,9 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 # I4: 5,9 => UNS * INC # F3: 6 + F4: 5,9 + E1: 1,2 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for H9,I9: 9..:
* INC # I9: 9 # H4: 2,5 => UNS * INC # I9: 9 # H4: 4,9 => UNS * INC # I9: 9 # I1: 2,5 => UNS * INC # I9: 9 # I3: 2,5 => UNS * INC # I9: 9 => UNS * INC # H9: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C4,C6: 9..:
* INC # C4: 9 # H4: 2,5 => UNS * PRF # C4: 9 # H4: 4 => SOL * STA # C4: 9 + H4: 4 * CNT 2 HDP CHAINS / 3 HYP OPENED