Analysis of xx-ph-00001748-H345-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...8......5..48..5....94....4.3..2.........1.6...89.....2...3.....1...7 initial

Autosolve

position: 98.7.....64..8......5..48..5....94....4.3..2.........1.6...89.....2...3.....1...7 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C4,C6: 6..:

* DIS # C4: 6 # H6: 7,8 => CTR => H6: 5,6,9
* CNT   1 HDP CHAINS /  15 HYP OPENED

List of important HDP chains detected for B8,B9: 5..:

* PRF # B8: 5 # E8: 6,7 => SOL
* STA # B8: 5 + E8: 6,7
* CNT   1 HDP CHAINS /   2 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

98.7.....6...8......5..48..5....94....4.3..2.........1.6...89.....2...3.....1...7 initial
98.7.....64..8......5..48..5....94....4.3..2.........1.6...89.....2...3.....1...7 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  1 pairs (_) / G8 = 1  =>  1 pairs (_)
I7,G9: 2.. / I7 = 2  =>  1 pairs (_) / G9 = 2  =>  1 pairs (_)
I4,G6: 3.. / I4 = 3  =>  0 pairs (_) / G6 = 3  =>  1 pairs (_)
H1,I1: 4.. / H1 = 4  =>  1 pairs (_) / I1 = 4  =>  1 pairs (_)
D6,E6: 4.. / D6 = 4  =>  1 pairs (_) / E6 = 4  =>  1 pairs (_)
B8,B9: 5.. / B8 = 5  =>  2 pairs (_) / B9 = 5  =>  2 pairs (_)
C4,C6: 6.. / C4 = 6  =>  4 pairs (_) / C6 = 6  =>  0 pairs (_)
I8,H9: 8.. / I8 = 8  =>  1 pairs (_) / H9 = 8  =>  1 pairs (_)
I5,H6: 9.. / I5 = 9  =>  1 pairs (_) / H6 = 9  =>  0 pairs (_)
E8,D9: 9.. / E8 = 9  =>  1 pairs (_) / D9 = 9  =>  0 pairs (_)
B5,I5: 9.. / B5 = 9  =>  0 pairs (_) / I5 = 9  =>  1 pairs (_)
E3,E8: 9.. / E3 = 9  =>  0 pairs (_) / E8 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.011588  START: 00:03:36.859443  END: 00:03:43.871031 2020-12-01
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,C6: 6.. / C4 = 6 ==>  4 pairs (_) / C6 = 6 ==>  0 pairs (_)
B8,B9: 5.. / B8 = 5 ==>  0 pairs (*) / B9 = 5  =>  0 pairs (X)
* DURATION: 0:00:15.545383  START: 00:03:43.871566  END: 00:03:59.416949 2020-12-01
* REASONING C4,C6: 6..
* DIS # C4: 6 # H6: 7,8 => CTR => H6: 5,6,9
* CNT   1 HDP CHAINS /  15 HYP OPENED
* REASONING B8,B9: 5..
* PRF # B8: 5 # E8: 6,7 => SOL
* STA # B8: 5 + E8: 6,7
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1748;H345;GP;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,C6: 6..:

* INC # C4: 6 # D5: 1,8 => UNS
* INC # C4: 6 # D5: 5,6 => UNS
* INC # C4: 6 # E6: 2,7 => UNS
* INC # C4: 6 # F6: 2,7 => UNS
* INC # C4: 6 # B4: 2,7 => UNS
* INC # C4: 6 # B4: 1,3 => UNS
* DIS # C4: 6 # H6: 7,8 => CTR => H6: 5,6,9
* INC # C4: 6 + H6: 5,6,9 # D5: 1,8 => UNS
* INC # C4: 6 + H6: 5,6,9 # D5: 5,6 => UNS
* INC # C4: 6 + H6: 5,6,9 # E6: 2,7 => UNS
* INC # C4: 6 + H6: 5,6,9 # F6: 2,7 => UNS
* INC # C4: 6 + H6: 5,6,9 # B4: 2,7 => UNS
* INC # C4: 6 + H6: 5,6,9 # B4: 1,3 => UNS
* INC # C4: 6 + H6: 5,6,9 => UNS
* INC # C6: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B8,B9: 5..:

* PRF # B8: 5 # E8: 6,7 => SOL
* STA # B8: 5 + E8: 6,7
* CNT   1 HDP CHAINS /   2 HYP OPENED