Analysis of xx-ph-00723105-12_12_19-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...........1..2.34.3..5.16...3.1.54..4.7..3..1.......8..4..9....65......3...6.45. initial

Autosolve

position: ........5..1..2.34.3..5.16...3.1.54..4.7..3..1.......8..45.9....65......3...6.45. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # F1: 6,8 => CTR => F1: 1,3,4,7
* CNT   1 HDP CHAINS /   6 HYP OPENED

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

Pair Reduction

Pair Reduction

The following important HDP chains were detected:

* DIS # F1: 6,8 => CTR => F1: 1,3,4,7
* STA F1: 1,3,4,7
* CNT   1 HDP CHAINS /  13 HYP OPENED

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

Pair Reduction Position

position: ........5..1..2.34.3..5.16...3.1.54..4.7..3..1.......8..45.9....65......3...6.45. pair_reduction
Pair Reduction

See section Pair Reduction for the HDP chains leading to this result.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:44.086409

The following important HDP chains were detected:

* DIS # F5: 6,8 # D1: 3,4 => CTR => D1: 1,6,8,9
* DIS # F5: 6,8 + D1: 1,6,8,9 # E8: 3,4 => CTR => E8: 2,7,8
* CNT   2 HDP CHAINS /  83 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for A2,D2: 6..:

* PRF # A2: 6 # A3: 8,9 => SOL
* STA # A2: 6 + A3: 8,9
* 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

...........1..2.34.3..5.16...3.1.54..4.7..3..1.......8..4..9....65......3...6.45. initial
........5..1..2.34.3..5.16...3.1.54..4.7..3..1.......8..45.9....65......3...6.45. autosolve
........5..1..2.34.3..5.16...3.1.54..4.7..3..1.......8..45.9....65......3...6.45. pair_reduction

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F4: 6,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,F1: 1.. / D1 = 1  =>  2 pairs (_) / F1 = 1  =>  2 pairs (_)
H5,I5: 1.. / H5 = 1  =>  1 pairs (_) / I5 = 1  =>  2 pairs (_)
B7,B9: 1.. / B7 = 1  =>  1 pairs (_) / B9 = 1  =>  3 pairs (_)
I7,I8: 3.. / I7 = 3  =>  1 pairs (_) / I8 = 3  =>  3 pairs (_)
E7,I7: 3.. / E7 = 3  =>  3 pairs (_) / I7 = 3  =>  1 pairs (_)
A1,A3: 4.. / A1 = 4  =>  1 pairs (_) / A3 = 4  =>  4 pairs (_)
A2,B2: 5.. / A2 = 5  =>  1 pairs (_) / B2 = 5  =>  8 pairs (_)
A5,B6: 5.. / A5 = 5  =>  8 pairs (_) / B6 = 5  =>  1 pairs (_)
F5,F6: 5.. / F5 = 5  =>  1 pairs (_) / F6 = 5  =>  8 pairs (_)
A5,F5: 5.. / A5 = 5  =>  8 pairs (_) / F5 = 5  =>  1 pairs (_)
B6,F6: 5.. / B6 = 5  =>  1 pairs (_) / F6 = 5  =>  8 pairs (_)
A2,A5: 5.. / A2 = 5  =>  1 pairs (_) / A5 = 5  =>  8 pairs (_)
B2,B6: 5.. / B2 = 5  =>  8 pairs (_) / B6 = 5  =>  1 pairs (_)
G7,I7: 6.. / G7 = 6  =>  1 pairs (_) / I7 = 6  =>  3 pairs (_)
A2,D2: 6.. / A2 = 6  => 12 pairs (_) / D2 = 6  =>  1 pairs (_)
G6,G7: 6.. / G6 = 6  =>  3 pairs (_) / G7 = 6  =>  1 pairs (_)
* DURATION: 0:00:11.235509  START: 22:21:56.070299  END: 22:22:07.305808 2020-12-30
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A2,D2: 6.. / A2 = 6 ==>  0 pairs (*) / D2 = 6  =>  0 pairs (X)
* DURATION: 0:00:15.649978  START: 22:23:02.224393  END: 22:23:17.874371 2020-12-30
* REASONING A2,D2: 6..
* PRF # A2: 6 # A3: 8,9 => SOL
* STA # A2: 6 + A3: 8,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

723105;12_12_19;dob;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D4: 6,8 => UNS
* INC # F5: 6,8 => UNS
* INC # A4: 6,8 => UNS
* INC # A4: 2,7,9 => UNS
* DIS # F1: 6,8 => CTR => F1: 1,3,4,7
* INC # F1: 1,3,4,7 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D4: 6,8 => UNS
* INC # F5: 6,8 => UNS
* INC # A4: 6,8 => UNS
* INC # A4: 2,7,9 => UNS
* DIS # F1: 6,8 => CTR => F1: 1,3,4,7
* INC F1: 1,3,4,7 # F5: 6,8 => UNS
* INC F1: 1,3,4,7 # F5: 5 => UNS
* INC F1: 1,3,4,7 # A4: 6,8 => UNS
* INC F1: 1,3,4,7 # A4: 2,7,9 => UNS
* INC F1: 1,3,4,7 # F5: 6,8 => UNS
* INC F1: 1,3,4,7 # F5: 5 => UNS
* INC F1: 1,3,4,7 # A4: 6,8 => UNS
* INC F1: 1,3,4,7 # A4: 2,7,9 => UNS
* STA F1: 1,3,4,7
* CNT  13 HDP CHAINS /  13 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F5: 6,8 => UNS
* INC # F5: 5 => UNS
* INC # A4: 6,8 => UNS
* INC # A4: 2,7,9 => UNS
* INC # F5: 6,8 # E1: 4,7 => UNS
* INC # F5: 6,8 # F1: 4,7 => UNS
* INC # F5: 6,8 # A3: 4,7 => UNS
* INC # F5: 6,8 # A3: 2,8,9 => UNS
* INC # F5: 6,8 # F8: 4,7 => UNS
* INC # F5: 6,8 # F8: 1,3 => UNS
* INC # F5: 6,8 # A4: 2,9 => UNS
* INC # F5: 6,8 # B4: 2,9 => UNS
* INC # F5: 6,8 # I4: 2,9 => UNS
* INC # F5: 6,8 # A4: 6,8 => UNS
* INC # F5: 6,8 # A4: 2,7,9 => UNS
* INC # F5: 6,8 # C5: 2,9 => UNS
* INC # F5: 6,8 # H5: 2,9 => UNS
* INC # F5: 6,8 # I5: 2,9 => UNS
* INC # F5: 6,8 # C5: 6,8 => UNS
* INC # F5: 6,8 # C5: 2,9 => UNS
* DIS # F5: 6,8 # D1: 3,4 => CTR => D1: 1,6,8,9
* INC # F5: 6,8 + D1: 1,6,8,9 # D8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 # D8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 # D8: 1,2,8 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 # D8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 # D8: 1,2,8 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 # E1: 3,4 => UNS
* DIS # F5: 6,8 + D1: 1,6,8,9 # E8: 3,4 => CTR => E8: 2,7,8
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 7,8,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 7,8,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # B9: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # I9: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F1: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F1: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 4,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F1: 4,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # A3: 4,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # A3: 2,8,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 4,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 1,3 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # A4: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # B4: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # I4: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # A4: 6,8 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # A4: 2,7,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # C5: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # H5: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # I5: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # C5: 6,8 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # C5: 2,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # D8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # D8: 1,2,8 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # E1: 7,8,9 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F8: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # B9: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # I9: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F1: 1,7 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 # F1: 3,4 => UNS
* INC # F5: 6,8 + D1: 1,6,8,9 + E8: 2,7,8 => UNS
* INC # F5: 5 # A4: 6,8 => UNS
* INC # F5: 5 # A4: 2,7,9 => UNS
* INC # F5: 5 => UNS
* INC # A4: 6,8 # A5: 6,8 => UNS
* INC # A4: 6,8 # C5: 6,8 => UNS
* INC # A4: 6,8 # A1: 6,8 => UNS
* INC # A4: 6,8 # A2: 6,8 => UNS
* INC # A4: 6,8 # E5: 2,9 => UNS
* INC # A4: 6,8 # D6: 2,9 => UNS
* INC # A4: 6,8 # E6: 2,9 => UNS
* INC # A4: 6,8 # B4: 2,9 => UNS
* INC # A4: 6,8 # I4: 2,9 => UNS
* INC # A4: 6,8 # F5: 6,8 => UNS
* INC # A4: 6,8 # F5: 5 => UNS
* INC # A4: 6,8 => UNS
* INC # A4: 2,7,9 # F5: 6,8 => UNS
* INC # A4: 2,7,9 # F5: 5 => UNS
* INC # A4: 2,7,9 => UNS
* CNT  83 HDP CHAINS /  83 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,D2: 6..:

* PRF # A2: 6 # A3: 8,9 => SOL
* STA # A2: 6 + A3: 8,9
* CNT   1 HDP CHAINS /   2 HYP OPENED