Analysis of xx-ph-00024001-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9876.....5...4.9.........8.4...3.5.....2...6......7..23....1....95...1...4..9...3 initial

Autosolve

position: 9876.....5...4.9....4....8.4...3.5.....2...6......7..23....1....95...1...4..9...3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for F4,E6: 6..:

* DIS # E6: 6 # F5: 8,9 => CTR => F5: 4,5
* CNT   1 HDP CHAINS /  43 HYP OPENED

List of important HDP chains detected for D2,F2: 8..:

* PRF # D2: 8 # C4: 1,9 => SOL
* STA # D2: 8 + C4: 1,9
* CNT   1 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

9876.....5...4.9.........8.4...3.5.....2...6......7..23....1....95...1...4..9...3 initial
9876.....5...4.9....4....8.4...3.5.....2...6......7..23....1....95...1...4..9...3 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A9,C9: 1.. / A9 = 1  =>  3 pairs (_) / C9 = 1  =>  0 pairs (_)
B4,C4: 2.. / B4 = 2  =>  1 pairs (_) / C4 = 2  =>  1 pairs (_)
D8,F8: 3.. / D8 = 3  =>  0 pairs (_) / F8 = 3  =>  2 pairs (_)
F5,D6: 4.. / F5 = 4  =>  0 pairs (_) / D6 = 4  =>  2 pairs (_)
F5,F8: 4.. / F5 = 4  =>  0 pairs (_) / F8 = 4  =>  2 pairs (_)
B5,B6: 5.. / B5 = 5  =>  1 pairs (_) / B6 = 5  =>  0 pairs (_)
F4,E6: 6.. / F4 = 6  =>  0 pairs (_) / E6 = 6  =>  4 pairs (_)
D2,F2: 8.. / D2 = 8  =>  3 pairs (_) / F2 = 8  =>  1 pairs (_)
D3,F3: 9.. / D3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
H7,I7: 9.. / H7 = 9  =>  1 pairs (_) / I7 = 9  =>  0 pairs (_)
* DURATION: 0:00:05.704726  START: 04:57:16.436285  END: 04:57:22.141011 2020-12-08
* CP COUNT: (10)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,E6: 6.. / F4 = 6 ==>  0 pairs (_) / E6 = 6 ==>  5 pairs (_)
D2,F2: 8.. / D2 = 8 ==>  0 pairs (*) / F2 = 8  =>  0 pairs (X)
* DURATION: 0:00:28.750125  START: 04:57:22.141580  END: 04:57:50.891705 2020-12-08
* REASONING F4,E6: 6..
* DIS # E6: 6 # F5: 8,9 => CTR => F5: 4,5
* CNT   1 HDP CHAINS /  43 HYP OPENED
* REASONING D2,F2: 8..
* PRF # D2: 8 # C4: 1,9 => SOL
* STA # D2: 8 + C4: 1,9
* CNT   1 HDP CHAINS /  11 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

24001;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E6: 6..:

* INC # E6: 6 # B2: 2,6 => UNS
* INC # E6: 6 # B3: 2,6 => UNS
* INC # E6: 6 # B7: 2,6 => UNS
* INC # E6: 6 # C2: 2,6 => UNS
* INC # E6: 6 # C7: 2,6 => UNS
* INC # E6: 6 # C9: 2,6 => UNS
* INC # E6: 6 # A5: 1,8 => UNS
* INC # E6: 6 # C5: 1,8 => UNS
* INC # E6: 6 # C6: 1,8 => UNS
* INC # E6: 6 # D6: 1,8 => UNS
* INC # E6: 6 # D6: 4,5,9 => UNS
* INC # E6: 6 # A9: 1,8 => UNS
* INC # E6: 6 # A9: 2,6,7 => UNS
* INC # E6: 6 # D4: 8,9 => UNS
* DIS # E6: 6 # F5: 8,9 => CTR => F5: 4,5
* INC # E6: 6 + F5: 4,5 # D6: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 1,7 => UNS
* INC # E6: 6 + F5: 4,5 # D4: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 1,7 => UNS
* INC # E6: 6 + F5: 4,5 # B2: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # B3: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # B7: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # C2: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # C7: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # C9: 2,6 => UNS
* INC # E6: 6 + F5: 4,5 # A5: 1,8 => UNS
* INC # E6: 6 + F5: 4,5 # C5: 1,8 => UNS
* INC # E6: 6 + F5: 4,5 # C6: 1,8 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 1,8 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 4,5,9 => UNS
* INC # E6: 6 + F5: 4,5 # A9: 1,8 => UNS
* INC # E6: 6 + F5: 4,5 # A9: 2,6,7 => UNS
* INC # E6: 6 + F5: 4,5 # D4: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 8,9 => UNS
* INC # E6: 6 + F5: 4,5 # I4: 1,7 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 4,5 => UNS
* INC # E6: 6 + F5: 4,5 # D6: 1,8,9 => UNS
* INC # E6: 6 + F5: 4,5 => UNS
* INC # F4: 6 => UNS
* CNT  43 HDP CHAINS /  43 HYP OPENED

Full list of HDP chains traversed for D2,F2: 8..:

* INC # D2: 8 # F1: 2,3 => UNS
* INC # D2: 8 # F3: 2,3 => UNS
* INC # D2: 8 # B2: 2,3 => UNS
* INC # D2: 8 # C2: 2,3 => UNS
* INC # D2: 8 # H2: 2,3 => UNS
* INC # D2: 8 # F8: 2,3 => UNS
* INC # D2: 8 # F8: 4,6,8 => UNS
* INC # D2: 8 # D6: 1,9 => UNS
* INC # D2: 8 # D6: 4,5 => UNS
* PRF # D2: 8 # C4: 1,9 => SOL
* STA # D2: 8 + C4: 1,9
* CNT  10 HDP CHAINS /  11 HYP OPENED