Analysis of xx-ph-00001435-355-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4...8.....8...6.9...31...7....5..3....1.....8.6...25....79...3.........29...4. initial

Autosolve

position: ...4...8.....8...689...31...7....5..3....1.....8.6...25....79...3.........29...4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C3,D3: 6..:

* DIS # C3: 6 # B7: 1,4 => CTR => B7: 6,8
* DIS # C3: 6 + B7: 6,8 # C8: 1,4 => CTR => C8: 7,9
* PRF # C3: 6 + B7: 6,8 + C8: 7,9 # A8: 6,7,9 => SOL
* STA # C3: 6 + B7: 6,8 + C8: 7,9 + A8: 6,7,9
* CNT   3 HDP CHAINS /   6 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

...4...8.....8...6.9...31...7....5..3....1.....8.6...25....79...3.........29...4. initial
...4...8.....8...689...31...7....5..3....1.....8.6...25....79...3.........29...4. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E1,D2: 1.. / E1 = 1  =>  2 pairs (_) / D2 = 1  =>  0 pairs (_)
A4,B5: 2.. / A4 = 2  =>  1 pairs (_) / B5 = 2  =>  0 pairs (_)
C1,C2: 3.. / C1 = 3  =>  1 pairs (_) / C2 = 3  =>  0 pairs (_)
G2,I3: 4.. / G2 = 4  =>  3 pairs (_) / I3 = 4  =>  0 pairs (_)
C3,I3: 4.. / C3 = 4  =>  3 pairs (_) / I3 = 4  =>  0 pairs (_)
F1,D3: 6.. / F1 = 6  =>  4 pairs (_) / D3 = 6  =>  0 pairs (_)
C3,D3: 6.. / C3 = 6  =>  4 pairs (_) / D3 = 6  =>  0 pairs (_)
B7,B9: 8.. / B7 = 8  =>  2 pairs (_) / B9 = 8  =>  1 pairs (_)
I1,H2: 9.. / I1 = 9  =>  1 pairs (_) / H2 = 9  =>  2 pairs (_)
A8,C8: 9.. / A8 = 9  =>  1 pairs (_) / C8 = 9  =>  0 pairs (_)
F2,H2: 9.. / F2 = 9  =>  1 pairs (_) / H2 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.139334  START: 08:38:14.554866  END: 08:38:21.694200 2020-11-28
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C3,D3: 6.. / C3 = 6 ==>  0 pairs (*) / D3 = 6  =>  0 pairs (X)
* DURATION: 0:00:12.763695  START: 08:38:21.694808  END: 08:38:34.458503 2020-11-28
* REASONING C3,D3: 6..
* DIS # C3: 6 # B7: 1,4 => CTR => B7: 6,8
* DIS # C3: 6 + B7: 6,8 # C8: 1,4 => CTR => C8: 7,9
* PRF # C3: 6 + B7: 6,8 + C8: 7,9 # A8: 6,7,9 => SOL
* STA # C3: 6 + B7: 6,8 + C8: 7,9 + A8: 6,7,9
* CNT   3 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1435;355;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C3,D3: 6..:

* DIS # C3: 6 # B7: 1,4 => CTR => B7: 6,8
* INC # C3: 6 + B7: 6,8 # A8: 1,4 => UNS
* DIS # C3: 6 + B7: 6,8 # C8: 1,4 => CTR => C8: 7,9
* INC # C3: 6 + B7: 6,8 + C8: 7,9 # A8: 1,4 => UNS
* PRF # C3: 6 + B7: 6,8 + C8: 7,9 # A8: 6,7,9 => SOL
* STA # C3: 6 + B7: 6,8 + C8: 7,9 + A8: 6,7,9
* CNT   5 HDP CHAINS /   6 HYP OPENED