Analysis of xx-ph-00000283-H46-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. initial

Autosolve

position: 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. 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: 0:00:07.929975

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for D4,E5: 1..:

* DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6
* DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4
* CNT   2 HDP CHAINS /  71 HYP OPENED

List of important HDP chains detected for C4,I4: 8..:

* DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7
* PRF # I4: 8 # B4: 1,2 => SOL
* STA # I4: 8 + B4: 1,2
* CNT   2 HDP CHAINS /  39 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.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. initial
98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D4: 1,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  2 pairs (_) / E5 = 1  =>  6 pairs (_)
E7,D8: 2.. / E7 = 2  =>  2 pairs (_) / D8 = 2  =>  1 pairs (_)
F5,D6: 3.. / F5 = 3  =>  3 pairs (_) / D6 = 3  =>  4 pairs (_)
F4,E6: 5.. / F4 = 5  =>  1 pairs (_) / E6 = 5  =>  3 pairs (_)
H8,I9: 5.. / H8 = 5  =>  1 pairs (_) / I9 = 5  =>  1 pairs (_)
B4,F4: 5.. / B4 = 5  =>  3 pairs (_) / F4 = 5  =>  1 pairs (_)
F8,E9: 7.. / F8 = 7  =>  4 pairs (_) / E9 = 7  =>  3 pairs (_)
E3,F3: 8.. / E3 = 8  =>  1 pairs (_) / F3 = 8  =>  2 pairs (_)
I4,H6: 8.. / I4 = 8  =>  3 pairs (_) / H6 = 8  =>  4 pairs (_)
C4,I4: 8.. / C4 = 8  =>  4 pairs (_) / I4 = 8  =>  3 pairs (_)
* DURATION: 0:00:05.929246  START: 04:59:31.911045  END: 04:59:37.840291 2020-10-17
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,E5: 1.. / D4 = 1 ==>  2 pairs (_) / E5 = 1 ==>  6 pairs (_)
C4,I4: 8.. / C4 = 8 ==>  5 pairs (_) / I4 = 8 ==>  0 pairs (*)
* DURATION: 0:00:51.683855  START: 04:59:47.587068  END: 05:00:39.270923 2020-10-17
* REASONING D4,E5: 1..
* DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6
* DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4
* CNT   2 HDP CHAINS /  71 HYP OPENED
* REASONING C4,I4: 8..
* DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7
* PRF # I4: 8 # B4: 1,2 => SOL
* STA # I4: 8 + B4: 1,2
* CNT   2 HDP CHAINS /  39 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

283;H46;GP;22;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D3: 1,6 => UNS
* INC # D3: 2,3,4,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D3: 1,6 => UNS
* INC # D3: 2,3,4,9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D3: 1,6 => UNS
* INC # D3: 2,3,4,9 => UNS
* INC # D3: 1,6 # E1: 1,6 => UNS
* INC # D3: 1,6 # E3: 1,6 => UNS
* INC # D3: 1,6 # G3: 1,6 => UNS
* INC # D3: 1,6 # H3: 1,6 => UNS
* INC # D3: 1,6 # F5: 3,4 => UNS
* INC # D3: 1,6 # F5: 7 => UNS
* INC # D3: 1,6 # D2: 3,4 => UNS
* INC # D3: 1,6 # D2: 2,9 => UNS
* INC # D3: 1,6 # B8: 2,9 => UNS
* INC # D3: 1,6 # C8: 2,9 => UNS
* INC # D3: 1,6 # D2: 2,9 => UNS
* INC # D3: 1,6 # D2: 3,4 => UNS
* INC # D3: 1,6 # B9: 4,9 => UNS
* INC # D3: 1,6 # C9: 4,9 => UNS
* INC # D3: 1,6 # D2: 4,9 => UNS
* INC # D3: 1,6 # D2: 2,3 => UNS
* INC # D3: 1,6 => UNS
* INC # D3: 2,3,4,9 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,E5: 1..:

* INC # E5: 1 # B5: 2,3 => UNS
* INC # E5: 1 # B5: 7,9 => UNS
* INC # E5: 1 # A3: 2,3 => UNS
* INC # E5: 1 # A7: 2,3 => UNS
* INC # E5: 1 # E6: 5,7 => UNS
* INC # E5: 1 # E6: 4 => UNS
* INC # E5: 1 # B4: 5,7 => UNS
* INC # E5: 1 # B4: 1,2 => UNS
* INC # E5: 1 # F5: 3,4 => UNS
* INC # E5: 1 # F5: 7 => UNS
* INC # E5: 1 # D2: 3,4 => UNS
* INC # E5: 1 # D3: 3,4 => UNS
* INC # E5: 1 # I4: 2,7 => UNS
* INC # E5: 1 # I5: 2,7 => UNS
* INC # E5: 1 # B4: 2,7 => UNS
* INC # E5: 1 # B4: 1,5 => UNS
* DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6
* INC # E5: 1 + G3: 1,3,4,6 # I4: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 # I5: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 # B4: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 # B4: 1,5 => UNS
* INC # E5: 1 + G3: 1,3,4,6 # B8: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 # C8: 2,9 => UNS
* DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B8: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C8: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B9: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C9: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,2,3 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B5: 2,3 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B5: 7,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # A3: 2,3 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # A7: 2,3 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # E6: 5,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # E6: 4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 5,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 1,2 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # F5: 3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # F5: 7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D2: 3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # I4: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # I5: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 2,7 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 1,5 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B8: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C8: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B9: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C9: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 4,9 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,2,3 => UNS
* INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 => UNS
* INC # D4: 1 # I4: 2,8 => UNS
* INC # D4: 1 # I4: 6,7 => UNS
* INC # D4: 1 # C8: 2,8 => UNS
* INC # D4: 1 # C8: 1,9 => UNS
* INC # D4: 1 # F5: 4,7 => UNS
* INC # D4: 1 # E6: 4,7 => UNS
* INC # D4: 1 # H5: 4,7 => UNS
* INC # D4: 1 # H5: 9 => UNS
* INC # D4: 1 # E9: 4,7 => UNS
* INC # D4: 1 # E9: 6,8 => UNS
* INC # D4: 1 => UNS
* CNT  71 HDP CHAINS /  71 HYP OPENED

Full list of HDP chains traversed for C4,I4: 8..:

* INC # C4: 8 # B6: 3,5 => UNS
* INC # C4: 8 # B6: 7,9 => UNS
* INC # C4: 8 # A9: 3,5 => UNS
* INC # C4: 8 # A9: 6,8 => UNS
* INC # C4: 8 # B6: 3,9 => UNS
* INC # C4: 8 # B6: 5,7 => UNS
* INC # C4: 8 # C9: 3,9 => UNS
* INC # C4: 8 # C9: 4 => UNS
* INC # C4: 8 # D3: 1,6 => UNS
* INC # C4: 8 # D3: 2,3,4,9 => UNS
* INC # C4: 8 # G8: 1,6 => UNS
* DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7
* INC # C4: 8 + H8: 5,7 # G8: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # G8: 7 => UNS
* INC # C4: 8 + H8: 5,7 # A7: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # A7: 2,3,8 => UNS
* INC # C4: 8 + H8: 5,7 # H1: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # H3: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # B6: 3,5 => UNS
* INC # C4: 8 + H8: 5,7 # B6: 7,9 => UNS
* INC # C4: 8 + H8: 5,7 # A9: 3,5 => UNS
* INC # C4: 8 + H8: 5,7 # A9: 6,8 => UNS
* INC # C4: 8 + H8: 5,7 # B6: 3,9 => UNS
* INC # C4: 8 + H8: 5,7 # B6: 5,7 => UNS
* INC # C4: 8 + H8: 5,7 # C9: 3,9 => UNS
* INC # C4: 8 + H8: 5,7 # C9: 4 => UNS
* INC # C4: 8 + H8: 5,7 # D3: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # D3: 2,3,4,9 => UNS
* INC # C4: 8 + H8: 5,7 # G8: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # G8: 7 => UNS
* INC # C4: 8 + H8: 5,7 # A7: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # A7: 2,3,8 => UNS
* INC # C4: 8 + H8: 5,7 # H1: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # H3: 1,6 => UNS
* INC # C4: 8 + H8: 5,7 # I9: 5,7 => UNS
* INC # C4: 8 + H8: 5,7 # I9: 3,6,8 => UNS
* INC # C4: 8 + H8: 5,7 => UNS
* PRF # I4: 8 # B4: 1,2 => SOL
* STA # I4: 8 + B4: 1,2
* CNT  38 HDP CHAINS /  39 HYP OPENED