Analysis of xx-ph-00767946-13_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2.3...4.5.6...1.....27.4....8..8..6..9...7...3...4.5.9....6..84.... initial

Autosolve

position: ........1.....2.3...4.5.6...16....27.4....8..8..6..9...7...3...4.5.9....6..84.... 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: 0:00:04.060239

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000022

List of important HDP chains detected for D7,F9: 5..:

* DIS # F9: 5 # E7: 1,2 => CTR => E7: 6
* DIS # F9: 5 + E7: 6 # C7: 1,2 => CTR => C7: 8,9
* DIS # F9: 5 + E7: 6 + C7: 8,9 # G7: 1,2 => CTR => G7: 4,5
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 # A7: 9 => CTR => A7: 1,2
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 # D8: 7 => CTR => D8: 1,2
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 # H1: 7,9 => CTR => H1: 4,5,8
* PRF # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 # H3: 8 => SOL
* STA # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 + H3: 8
* CNT   7 HDP CHAINS /  20 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

........1.....2.3...4.5.6...1.....27.4....8..8..6..9...7...3...4.5.9....6..84.... initial
........1.....2.3...4.5.6...16....27.4....8..8..6..9...7...3...4.5.9....6..84.... autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
E4: 3,8

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* CONSTRAINT PAIRS (AUTO SOLVE)
H5,H6: 1.. / H5 = 1  =>  2 pairs (_) / H6 = 1  =>  2 pairs (_)
G1,I3: 2.. / G1 = 2  =>  2 pairs (_) / I3 = 2  =>  1 pairs (_)
D7,F9: 5.. / D7 = 5  =>  2 pairs (_) / F9 = 5  =>  4 pairs (_)
B1,B2: 6.. / B1 = 6  =>  3 pairs (_) / B2 = 6  =>  1 pairs (_)
H5,I5: 6.. / H5 = 6  =>  3 pairs (_) / I5 = 6  =>  2 pairs (_)
E7,F8: 6.. / E7 = 6  =>  2 pairs (_) / F8 = 6  =>  3 pairs (_)
B2,E2: 6.. / B2 = 6  =>  1 pairs (_) / E2 = 6  =>  3 pairs (_)
F1,F8: 6.. / F1 = 6  =>  2 pairs (_) / F8 = 6  =>  3 pairs (_)
E4,F4: 8.. / E4 = 8  =>  0 pairs (_) / F4 = 8  =>  2 pairs (_)
C7,B8: 8.. / C7 = 8  =>  2 pairs (_) / B8 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.198283  START: 03:13:24.523000  END: 03:13:31.721283 2020-10-22
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D7,F9: 5.. / D7 = 5  =>  0 pairs (X) / F9 = 5 ==>  0 pairs (*)
* DURATION: 0:00:20.343537  START: 03:13:38.030291  END: 03:13:58.373828 2020-10-22
* REASONING D7,F9: 5..
* DIS # F9: 5 # E7: 1,2 => CTR => E7: 6
* DIS # F9: 5 + E7: 6 # C7: 1,2 => CTR => C7: 8,9
* DIS # F9: 5 + E7: 6 + C7: 8,9 # G7: 1,2 => CTR => G7: 4,5
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 # A7: 9 => CTR => A7: 1,2
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 # D8: 7 => CTR => D8: 1,2
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 # H1: 7,9 => CTR => H1: 4,5,8
* PRF # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 # H3: 8 => SOL
* STA # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 + H3: 8
* CNT   7 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

767946;13_01;DOB;22;11.40;1.50;1.50

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E1: 3,8 => UNS
* INC # E1: 6,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E1: 3,8 => UNS
* INC # E1: 6,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E1: 3,8 => UNS
* INC # E1: 6,7 => UNS
* INC # E1: 3,8 # B1: 3,8 => UNS
* INC # E1: 3,8 # C1: 3,8 => UNS
* INC # E1: 3,8 => UNS
* INC # E1: 6,7 # F1: 6,7 => UNS
* INC # E1: 6,7 # E2: 6,7 => UNS
* INC # E1: 6,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,F9: 5..:

* INC # F9: 5 # E1: 3,8 => UNS
* INC # F9: 5 # E1: 6,7 => UNS
* DIS # F9: 5 # E7: 1,2 => CTR => E7: 6
* INC # F9: 5 + E7: 6 # D8: 1,2 => UNS
* INC # F9: 5 + E7: 6 # D8: 1,2 => UNS
* INC # F9: 5 + E7: 6 # D8: 7 => UNS
* INC # F9: 5 + E7: 6 # A7: 1,2 => UNS
* DIS # F9: 5 + E7: 6 # C7: 1,2 => CTR => C7: 8,9
* DIS # F9: 5 + E7: 6 + C7: 8,9 # G7: 1,2 => CTR => G7: 4,5
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 # A7: 1,2 => UNS
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 # A7: 9 => CTR => A7: 1,2
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 # D8: 1,2 => UNS
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 # D8: 7 => CTR => D8: 1,2
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 # I8: 6,8 => UNS
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 # I8: 2,3 => UNS
* DIS # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 # H1: 7,9 => CTR => H1: 4,5,8
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 # H3: 7,9 => UNS
* INC # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 # H3: 7,9 => UNS
* PRF # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 # H3: 8 => SOL
* STA # F9: 5 + E7: 6 + C7: 8,9 + G7: 4,5 + A7: 1,2 + D8: 1,2 + H1: 4,5,8 + H3: 8
* CNT  19 HDP CHAINS /  20 HYP OPENED