Analysis of xx-ph-00014242-kz0-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 9876.....65....9.........6.8...4...3.2...1.....57..6....89..5......2..4......3..1 initial

Autosolve

position: 9876.....65....9.........6.8...4...3.2...1.....57..6....89..5......2..4......3..1 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:53.718975

The following important HDP chains were detected:

* DIS # F4: 2,5 # H4: 9 => CTR => H4: 1,7
* DIS # F4: 2,5 + H4: 1,7 # E3: 1,7 => CTR => E3: 3,5,8,9
* PRF # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E6: 9 => SOL
* STA # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 + E6: 9
* CNT   3 HDP CHAINS /  47 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

Positions

9876.....65....9.........6.8...4...3.2...1.....57..6....89..5......2..4......3..1 initial
9876.....65....9.........6.8...4...3.2...1.....57..6....89..5......2..4......3..1 autosolve
987632415653174982412859367869245173724361859135798624248917536391526748576483291 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D4: 2,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 1.. / E7 = 1  =>  3 pairs (_) / D8 = 1  =>  2 pairs (_)
H7,G8: 3.. / H7 = 3  =>  2 pairs (_) / G8 = 3  =>  2 pairs (_)
F7,D9: 4.. / F7 = 4  =>  3 pairs (_) / D9 = 4  =>  2 pairs (_)
A8,A9: 5.. / A8 = 5  =>  2 pairs (_) / A9 = 5  =>  2 pairs (_)
F4,E5: 6.. / F4 = 6  =>  3 pairs (_) / E5 = 6  =>  2 pairs (_)
I7,I8: 6.. / I7 = 6  =>  3 pairs (_) / I8 = 6  =>  3 pairs (_)
C5,E5: 6.. / C5 = 6  =>  3 pairs (_) / E5 = 6  =>  2 pairs (_)
B4,A5: 7.. / B4 = 7  =>  3 pairs (_) / A5 = 7  =>  2 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
I8,H9: 9.. / I8 = 9  =>  3 pairs (_) / H9 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.939554  START: 23:06:17.969557  END: 23:06:24.909111 2020-12-02
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:53.452417  START: 23:06:30.056135  END: 23:07:23.508552 2020-12-02
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00014242-kz0-base-pr-002.dot
* REASONING
* DIS # F4: 2,5 # H4: 9 => CTR => H4: 1,7
* DIS # F4: 2,5 + H4: 1,7 # E3: 1,7 => CTR => E3: 3,5,8,9
* PRF # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E6: 9 => SOL
* STA # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 + E6: 9
* CNT   3 HDP CHAINS /  47 HYP OPENED

Header Info

14242;kz0;GP;23;11.30;11.30;7.60

Solution

position: 987632415653174982412859367869245173724361859135798624248917536391526748576483291 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # H4: 2,5 => UNS
* INC # H4: 1,7,9 => UNS
* INC # D3: 2,5 => UNS
* INC # D3: 1,3,4,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # H4: 2,5 => UNS
* INC # H4: 1,7,9 => UNS
* INC # D3: 2,5 => UNS
* INC # D3: 1,3,4,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 2,5 => UNS
* INC # F4: 6,9 => UNS
* INC # H4: 2,5 => UNS
* INC # H4: 1,7,9 => UNS
* INC # D3: 2,5 => UNS
* INC # D3: 1,3,4,8 => UNS
* INC # F4: 2,5 # D3: 2,5 => UNS
* INC # F4: 2,5 # D3: 1,3,4,8 => UNS
* INC # F4: 2,5 # F1: 2,5 => UNS
* INC # F4: 2,5 # F3: 2,5 => UNS
* INC # F4: 2,5 # E6: 3,8 => UNS
* INC # F4: 2,5 # E6: 9 => UNS
* INC # F4: 2,5 # D2: 3,8 => UNS
* INC # F4: 2,5 # D3: 3,8 => UNS
* INC # F4: 2,5 # E6: 8,9 => UNS
* INC # F4: 2,5 # E6: 3 => UNS
* INC # F4: 2,5 # F3: 8,9 => UNS
* INC # F4: 2,5 # F3: 2,4,5,7 => UNS
* INC # F4: 2,5 # H4: 1,7 => UNS
* DIS # F4: 2,5 # H4: 9 => CTR => H4: 1,7
* INC # F4: 2,5 + H4: 1,7 # G3: 1,7 => UNS
* INC # F4: 2,5 + H4: 1,7 # G3: 2,3,4,8 => UNS
* INC # F4: 2,5 + H4: 1,7 # B7: 1,7 => UNS
* INC # F4: 2,5 + H4: 1,7 # B7: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 # E2: 1,7 => UNS
* DIS # F4: 2,5 + H4: 1,7 # E3: 1,7 => CTR => E3: 3,5,8,9
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E2: 1,7 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E2: 3,8 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # B7: 1,7 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # B7: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E2: 1,7 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E2: 3,8 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # B9: 6,9 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # B9: 4,7 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # C9: 6,9 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # C9: 2,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # A6: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # B6: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # C2: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # C3: 3,4 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # D3: 2,5 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # D3: 1,3,4,8 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # F1: 2,5 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # F3: 2,5 => UNS
* INC # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E6: 3,8 => UNS
* PRF # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 # E6: 9 => SOL
* STA # F4: 2,5 + H4: 1,7 + E3: 3,5,8,9 + E6: 9
* CNT  46 HDP CHAINS /  47 HYP OPENED