Analysis of xx-ph-00011041-22ky5-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9876.....5.....8.........6.7...4...3.9.7..6....2..1....7.8..5......3...1.....2.4. initial

Autosolve

position: 9876.....5.....8.........6.7...4...3.9.7..6....2..1....7.8..5......3...1.....2.4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for H8,I9: 8..:

* DIS # I9: 8 # E3: 1,9 => CTR => E3: 2,5,7,8
* PRF # I9: 8 + E3: 2,5,7,8 # F3: 4,9 => SOL
* STA # I9: 8 + E3: 2,5,7,8 + F3: 4,9
* CNT   2 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

9876.....5.....8.........6.7...4...3.9.7..6....2..1....7.8..5......3...1.....2.4. initial
9876.....5.....8.........6.7...4...3.9.7..6....2..1....7.8..5......3...1.....2.4. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 2.. / D4 = 2  =>  2 pairs (_) / E5 = 2  =>  2 pairs (_)
F5,D6: 3.. / F5 = 3  =>  2 pairs (_) / D6 = 3  =>  1 pairs (_)
H7,G9: 3.. / H7 = 3  =>  1 pairs (_) / G9 = 3  =>  1 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  0 pairs (_)
F4,E6: 6.. / F4 = 6  =>  2 pairs (_) / E6 = 6  =>  1 pairs (_)
I7,I9: 6.. / I7 = 6  =>  6 pairs (_) / I9 = 6  =>  2 pairs (_)
F8,E9: 7.. / F8 = 7  =>  1 pairs (_) / E9 = 7  =>  1 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
H8,I9: 8.. / H8 = 8  =>  0 pairs (_) / I9 = 8  =>  6 pairs (_)
* DURATION: 0:00:05.101977  START: 13:15:11.445838  END: 13:15:16.547815 2020-12-01
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I7,I9: 6.. / I7 = 6 ==>  6 pairs (_) / I9 = 6 ==>  2 pairs (_)
H8,I9: 8.. / H8 = 8  =>  0 pairs (X) / I9 = 8 ==>  0 pairs (*)
* DURATION: 0:00:29.172556  START: 13:15:16.548321  END: 13:15:45.720877 2020-12-01
* REASONING H8,I9: 8..
* DIS # I9: 8 # E3: 1,9 => CTR => E3: 2,5,7,8
* PRF # I9: 8 + E3: 2,5,7,8 # F3: 4,9 => SOL
* STA # I9: 8 + E3: 2,5,7,8 + F3: 4,9
* CNT   2 HDP CHAINS /  27 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

11041;22ky5;GP;22;11.30;11.30;7.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I7,I9: 6..:

* INC # I7: 6 # G4: 2,9 => UNS
* INC # I7: 6 # H4: 2,9 => UNS
* INC # I7: 6 # D2: 2,9 => UNS
* INC # I7: 6 # D3: 2,9 => UNS
* INC # I7: 6 # D2: 3,9 => UNS
* INC # I7: 6 # D3: 3,9 => UNS
* INC # I7: 6 # D9: 1,9 => UNS
* INC # I7: 6 # D9: 5 => UNS
* INC # I7: 6 # C7: 1,9 => UNS
* INC # I7: 6 # C7: 3,4 => UNS
* INC # I7: 6 # E2: 1,9 => UNS
* INC # I7: 6 # E3: 1,9 => UNS
* INC # I7: 6 # D8: 4,9 => UNS
* INC # I7: 6 # D8: 5 => UNS
* INC # I7: 6 # C7: 4,9 => UNS
* INC # I7: 6 # C7: 1,3 => UNS
* INC # I7: 6 # F2: 4,9 => UNS
* INC # I7: 6 # F3: 4,9 => UNS
* INC # I7: 6 => UNS
* INC # I9: 6 # I6: 4,9 => UNS
* INC # I9: 6 # I6: 5,7,8 => UNS
* INC # I9: 6 # G3: 4,9 => UNS
* INC # I9: 6 # G3: 1,2,3 => UNS
* INC # I9: 6 # H7: 2,9 => UNS
* INC # I9: 6 # G8: 2,9 => UNS
* INC # I9: 6 # I2: 2,9 => UNS
* INC # I9: 6 # I3: 2,9 => UNS
* INC # I9: 6 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for H8,I9: 8..:

* INC # I9: 8 # G4: 2,9 => UNS
* INC # I9: 8 # H4: 2,9 => UNS
* INC # I9: 8 # D2: 2,9 => UNS
* INC # I9: 8 # D3: 2,9 => UNS
* INC # I9: 8 # D2: 3,9 => UNS
* INC # I9: 8 # D3: 3,9 => UNS
* INC # I9: 8 # D9: 1,9 => UNS
* INC # I9: 8 # D9: 5 => UNS
* INC # I9: 8 # C7: 1,9 => UNS
* INC # I9: 8 # C7: 3,4 => UNS
* INC # I9: 8 # E2: 1,9 => UNS
* DIS # I9: 8 # E3: 1,9 => CTR => E3: 2,5,7,8
* INC # I9: 8 + E3: 2,5,7,8 # E2: 1,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # E2: 2,7 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # D9: 1,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # D9: 5 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # C7: 1,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # C7: 3,4 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # E2: 1,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # E2: 2,7 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # D8: 4,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # D8: 5 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # C7: 4,9 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # C7: 1,3 => UNS
* INC # I9: 8 + E3: 2,5,7,8 # F2: 4,9 => UNS
* PRF # I9: 8 + E3: 2,5,7,8 # F3: 4,9 => SOL
* STA # I9: 8 + E3: 2,5,7,8 + F3: 4,9
* CNT  26 HDP CHAINS /  27 HYP OPENED