Analysis of xx-ph-00417487-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1..2..3.4..4.56........5.7...358..1..2....4..9..9...5...2.....935.3...... initial

Autosolve

position: .5......1..2..3.45.4.56........5.7...358..1..2....4.59..9...5...2...5.935.3...... 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: 0:00:27.328596

The following important HDP chains were detected:

* DIS # I5: 2,6 # H1: 7,8 => CTR => H1: 3,6
* PRF # I5: 2,6 + H1: 3,6 # H3: 3 => SOL
* STA # I5: 2,6 + H1: 3,6 + H3: 3
* CNT   2 HDP CHAINS /  48 HYP OPENED

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

Details

Positions

........1..2..3.4..4.56........5.7...358..1..2....4..9..9...5...2.....935.3...... initial
.5......1..2..3.45.4.56........5.7...358..1..2....4.59..9...5...2...5.935.3...... autosolve
357248961692173845841569237916352784435897126278614359789436512124785693563921478 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H5: 2,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,H9: 1.. / H7 = 1  =>  1 pairs (_) / H9 = 1  =>  1 pairs (_)
A1,A3: 3.. / A1 = 3  =>  1 pairs (_) / A3 = 3  =>  1 pairs (_)
H4,G6: 3.. / H4 = 3  =>  2 pairs (_) / G6 = 3  =>  2 pairs (_)
D7,E7: 3.. / D7 = 3  =>  2 pairs (_) / E7 = 3  =>  2 pairs (_)
D4,H4: 3.. / D4 = 3  =>  2 pairs (_) / H4 = 3  =>  2 pairs (_)
E6,E7: 3.. / E6 = 3  =>  2 pairs (_) / E7 = 3  =>  2 pairs (_)
D1,E1: 4.. / D1 = 4  =>  1 pairs (_) / E1 = 4  =>  1 pairs (_)
I4,I5: 4.. / I4 = 4  => 11 pairs (_) / I5 = 4  =>  1 pairs (_)
G8,G9: 4.. / G8 = 4  =>  1 pairs (_) / G9 = 4  =>  3 pairs (_)
A5,I5: 4.. / A5 = 4  => 11 pairs (_) / I5 = 4  =>  1 pairs (_)
C4,C8: 4.. / C4 = 4  =>  1 pairs (_) / C8 = 4  =>  5 pairs (_)
B2,B4: 9.. / B2 = 9  =>  3 pairs (_) / B4 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.924009  START: 07:23:28.709375  END: 07:23:36.633384 2020-10-29
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:27.107402  START: 07:23:43.557912  END: 07:24:10.665314 2020-10-29
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00417487-12_12_03-base-pr-002.dot
* REASONING
* DIS # I5: 2,6 # H1: 7,8 => CTR => H1: 3,6
* PRF # I5: 2,6 + H1: 3,6 # H3: 3 => SOL
* STA # I5: 2,6 + H1: 3,6 + H3: 3
* CNT   2 HDP CHAINS /  48 HYP OPENED

Header Info

417487;12_12_03;dob;23;11.40;1.20;1.20

Solution

position: 357248961692173845841569237916352784435897126278614359789436512124785693563921478 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 # H4: 2,6 => UNS
* INC # I4: 2,6 => UNS
* INC # I5: 2,6 => UNS
* INC # F5: 2,6 => UNS
* INC # F5: 7,9 => UNS
* INC # H1: 2,6 => UNS
* INC # H7: 2,6 => UNS
* INC # H9: 2,6 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 2,6 => UNS
* INC # I4: 2,6 => UNS
* INC # I5: 2,6 => UNS
* INC # F5: 2,6 => UNS
* INC # F5: 7,9 => UNS
* INC # H1: 2,6 => UNS
* INC # H7: 2,6 => UNS
* INC # H9: 2,6 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 2,6 => UNS
* INC # I4: 2,6 => UNS
* INC # I5: 2,6 => UNS
* INC # F5: 2,6 => UNS
* INC # F5: 7,9 => UNS
* INC # H1: 2,6 => UNS
* INC # H7: 2,6 => UNS
* INC # H9: 2,6 => UNS
* INC # H4: 2,6 # F3: 2,7 => UNS
* INC # H4: 2,6 # F3: 1,8,9 => UNS
* INC # H4: 2,6 # I7: 2,7 => UNS
* INC # H4: 2,6 # I9: 2,7 => UNS
* INC # H4: 2,6 # D6: 1,7 => UNS
* INC # H4: 2,6 # D6: 6 => UNS
* INC # H4: 2,6 # B6: 1,7 => UNS
* INC # H4: 2,6 # C6: 1,7 => UNS
* INC # H4: 2,6 # E2: 1,7 => UNS
* INC # H4: 2,6 # E8: 1,7 => UNS
* INC # H4: 2,6 # E9: 1,7 => UNS
* INC # H4: 2,6 # F4: 2,6 => UNS
* INC # H4: 2,6 # F4: 1,9 => UNS
* INC # H4: 2,6 # F5: 2,6 => UNS
* INC # H4: 2,6 # F5: 7,9 => UNS
* INC # H4: 2,6 # G9: 4,8 => UNS
* INC # H4: 2,6 # G9: 2 => UNS
* INC # H4: 2,6 # A8: 4,8 => UNS
* INC # H4: 2,6 # C8: 4,8 => UNS
* INC # H4: 2,6 # E8: 4,8 => UNS
* INC # H4: 2,6 => UNS
* INC # I4: 2,6 # H1: 3,8 => UNS
* INC # I4: 2,6 # H3: 3,8 => UNS
* INC # I4: 2,6 # D4: 2,6 => UNS
* INC # I4: 2,6 # F4: 2,6 => UNS
* INC # I4: 2,6 # I7: 2,6 => UNS
* INC # I4: 2,6 # I9: 2,6 => UNS
* INC # I4: 2,6 # F5: 2,6 => UNS
* INC # I4: 2,6 # F5: 7,9 => UNS
* INC # I4: 2,6 # H1: 2,6 => UNS
* INC # I4: 2,6 # H7: 2,6 => UNS
* INC # I4: 2,6 # H9: 2,6 => UNS
* INC # I4: 2,6 # G1: 3,8 => UNS
* INC # I4: 2,6 # G3: 3,8 => UNS
* INC # I4: 2,6 => UNS
* DIS # I5: 2,6 # H1: 7,8 => CTR => H1: 3,6
* INC # I5: 2,6 + H1: 3,6 # H3: 7,8 => UNS
* INC # I5: 2,6 + H1: 3,6 # H3: 7,8 => UNS
* PRF # I5: 2,6 + H1: 3,6 # H3: 3 => SOL
* STA # I5: 2,6 + H1: 3,6 + H3: 3
* CNT  47 HDP CHAINS /  48 HYP OPENED