Analysis of xx-ph-01269989-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..5...8...5.....64.......3..839..5.......8...2.........987..6......31.8 initial

Autosolve

position: 98.76.5..7..5...8...5.....64.......3..839..5.......8..82.........987..6......31.8 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: 0:00:22.774644

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for C1,H1: 3..:

* DIS # C1: 3 # F3: 1,2 => CTR => F3: 4,8,9
* DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9
* PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL
* STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4
* CNT   3 HDP CHAINS /  35 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

98.76.5..7..5...8...5.....64.......3..839..5.......8...2.........987..6......31.8 initial
98.76.5..7..5...8...5.....64.......3..839..5.......8..82.........987..6......31.8 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A9: 5,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 3.. / E2 = 3  =>  1 pairs (_) / E3 = 3  =>  3 pairs (_)
C1,H1: 3.. / C1 = 3  =>  6 pairs (_) / H1 = 3  =>  1 pairs (_)
I7,I8: 5.. / I7 = 5  =>  3 pairs (_) / I8 = 5  =>  3 pairs (_)
B2,C2: 6.. / B2 = 6  =>  2 pairs (_) / C2 = 6  =>  2 pairs (_)
G4,G5: 6.. / G4 = 6  =>  2 pairs (_) / G5 = 6  =>  3 pairs (_)
G3,H3: 7.. / G3 = 7  =>  1 pairs (_) / H3 = 7  =>  1 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  1 pairs (_)
E4,F4: 8.. / E4 = 8  =>  1 pairs (_) / F4 = 8  =>  1 pairs (_)
E3,E4: 8.. / E3 = 8  =>  1 pairs (_) / E4 = 8  =>  1 pairs (_)
F3,F4: 8.. / F3 = 8  =>  1 pairs (_) / F4 = 8  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  3 pairs (_) / B6 = 9  =>  1 pairs (_)
D9,H9: 9.. / D9 = 9  =>  1 pairs (_) / H9 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.103267  START: 07:12:30.190253  END: 07:12:38.293520 2020-11-01
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,H1: 3.. / C1 = 3 ==>  0 pairs (*) / H1 = 3  =>  0 pairs (X)
* DURATION: 0:00:30.242510  START: 07:13:04.420380  END: 07:13:34.662890 2020-11-01
* REASONING C1,H1: 3..
* DIS # C1: 3 # F3: 1,2 => CTR => F3: 4,8,9
* DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9
* PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL
* STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4
* CNT   3 HDP CHAINS /  35 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1269989;13_12;GP;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B9: 5,6 => UNS
* INC # B9: 4,7 => UNS
* INC # A6: 5,6 => UNS
* INC # A6: 1,2,3 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,6 => UNS
* INC # B9: 4,7 => UNS
* INC # A6: 5,6 => UNS
* INC # A6: 1,2,3 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B9: 5,6 => UNS
* INC # B9: 4,7 => UNS
* INC # A6: 5,6 => UNS
* INC # A6: 1,2,3 => UNS
* INC # B9: 5,6 # C7: 1,3 => UNS
* INC # B9: 5,6 # B8: 1,3 => UNS
* INC # B9: 5,6 # A3: 1,3 => UNS
* INC # B9: 5,6 # A6: 1,3 => UNS
* INC # B9: 5,6 # A6: 5,6 => UNS
* INC # B9: 5,6 # A6: 1,2,3 => UNS
* INC # B9: 5,6 # B4: 5,6 => UNS
* INC # B9: 5,6 # B6: 5,6 => UNS
* INC # B9: 5,6 # C7: 4,7 => UNS
* INC # B9: 5,6 # C7: 1,3 => UNS
* INC # B9: 5,6 # H9: 4,7 => UNS
* INC # B9: 5,6 # H9: 2,9 => UNS
* INC # B9: 5,6 # F8: 2,4 => UNS
* INC # B9: 5,6 # D9: 2,4 => UNS
* INC # B9: 5,6 # H9: 2,4 => UNS
* INC # B9: 5,6 # H9: 7,9 => UNS
* INC # B9: 5,6 # E2: 2,4 => UNS
* INC # B9: 5,6 # E3: 2,4 => UNS
* INC # B9: 5,6 # E6: 2,4 => UNS
* INC # B9: 5,6 => UNS
* INC # B9: 4,7 # A6: 5,6 => UNS
* INC # B9: 4,7 # A6: 1,2,3 => UNS
* INC # B9: 4,7 # C7: 4,7 => UNS
* INC # B9: 4,7 # C9: 4,7 => UNS
* INC # B9: 4,7 # H9: 4,7 => UNS
* INC # B9: 4,7 # H9: 2,9 => UNS
* INC # B9: 4,7 => UNS
* INC # A6: 5,6 # C4: 1,2 => UNS
* INC # A6: 5,6 # C6: 1,2 => UNS
* INC # A6: 5,6 # F5: 1,2 => UNS
* INC # A6: 5,6 # I5: 1,2 => UNS
* INC # A6: 5,6 # A3: 1,2 => UNS
* INC # A6: 5,6 # A3: 3 => UNS
* INC # A6: 5,6 # B4: 5,6 => UNS
* INC # A6: 5,6 # B6: 5,6 => UNS
* INC # A6: 5,6 # F6: 5,6 => UNS
* INC # A6: 5,6 # F6: 1,2,4,7 => UNS
* INC # A6: 5,6 # C7: 1,3 => UNS
* INC # A6: 5,6 # B8: 1,3 => UNS
* INC # A6: 5,6 # A3: 1,3 => UNS
* INC # A6: 5,6 # A3: 2 => UNS
* INC # A6: 5,6 # B9: 5,6 => UNS
* INC # A6: 5,6 # B9: 4,7 => UNS
* INC # A6: 5,6 => UNS
* INC # A6: 1,2,3 => UNS
* CNT  49 HDP CHAINS /  49 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,H1: 3..:

* INC # C1: 3 # C2: 1,2 => UNS
* INC # C1: 3 # C2: 4,6 => UNS
* INC # C1: 3 # D3: 1,2 => UNS
* INC # C1: 3 # E3: 1,2 => UNS
* DIS # C1: 3 # F3: 1,2 => CTR => F3: 4,8,9
* DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 1,2 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 6 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 1,2 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 4,6 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # D3: 1,2 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # E3: 1,2 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 1,2 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 6 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B2: 1,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 1,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # D3: 1,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # E3: 1,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B8: 1,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B8: 3,5 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 5,9 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 3 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 3,5 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 9 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A8: 3,5 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A8: 1 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B9: 5,6 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B9: 4,7 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # I8: 2,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # H9: 2,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # F8: 2,4 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # F8: 1,5 => UNS
* INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G2: 2,4 => UNS
* PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL
* STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4
* CNT  34 HDP CHAINS /  35 HYP OPENED