Analysis of xx-ph-00001477-L122-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ....5.7.........3..8...1..62....8..4.149......6..4......2..4..1...3...5.8...7.9.. initial

Autosolve

position: ....5.7.........3..8...1..62....8..4.149......68.4......2..4..1...3...5.8...7.9.. 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: 0:00:34.798039

The following important HDP chains were detected:

* DIS # I6: 2,3 # H1: 2,4 => CTR => H1: 1,8
* CNT   1 HDP CHAINS /  47 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000017

List of important HDP chains detected for B9,H9: 4..:

* PRF # B9: 4 # D9: 2,6 => SOL
* STA # B9: 4 + D9: 2,6
* CNT   1 HDP CHAINS /  12 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

....5.7.........3..8...1..62....8..4.149......6..4......2..4..1...3...5.8...7.9.. initial
....5.7.........3..8...1..62....8..4.149......68.4......2..4..1...3...5.8...7.9.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I9: 2,3

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,G2: 1.. / H1 = 1  =>  1 pairs (_) / G2 = 1  =>  1 pairs (_)
E8,D9: 1.. / E8 = 1  =>  4 pairs (_) / D9 = 1  =>  1 pairs (_)
C9,D9: 1.. / C9 = 1  =>  4 pairs (_) / D9 = 1  =>  1 pairs (_)
E4,E8: 1.. / E4 = 1  =>  1 pairs (_) / E8 = 1  =>  4 pairs (_)
B1,B2: 2.. / B1 = 2  =>  2 pairs (_) / B2 = 2  =>  1 pairs (_)
F1,E3: 3.. / F1 = 3  =>  2 pairs (_) / E3 = 3  =>  3 pairs (_)
G7,I9: 3.. / G7 = 3  =>  4 pairs (_) / I9 = 3  =>  2 pairs (_)
G8,H9: 4.. / G8 = 4  =>  4 pairs (_) / H9 = 4  =>  3 pairs (_)
B9,H9: 4.. / B9 = 4  =>  4 pairs (_) / H9 = 4  =>  3 pairs (_)
H7,I8: 7.. / H7 = 7  =>  2 pairs (_) / I8 = 7  =>  3 pairs (_)
* DURATION: 0:00:10.852766  START: 16:45:42.950309  END: 16:45:53.803075 2020-11-28
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B9,H9: 4.. / B9 = 4 ==>  0 pairs (*) / H9 = 4  =>  0 pairs (X)
* DURATION: 0:00:19.225997  START: 16:46:31.436560  END: 16:46:50.662557 2020-11-28
* REASONING B9,H9: 4..
* PRF # B9: 4 # D9: 2,6 => SOL
* STA # B9: 4 + D9: 2,6
* CNT   1 HDP CHAINS /  12 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1477;L122;elev;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I5: 2,3 => UNS
* INC # I6: 2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I5: 2,3 => UNS
* INC # I6: 2,3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I5: 2,3 => UNS
* INC # I6: 2,3 => UNS
* INC # I5: 2,3 # H1: 8,9 => UNS
* INC # I5: 2,3 # I2: 8,9 => UNS
* INC # I5: 2,3 # G5: 2,3 => UNS
* INC # I5: 2,3 # G6: 2,3 => UNS
* INC # I5: 2,3 # E5: 2,3 => UNS
* INC # I5: 2,3 # F5: 2,3 => UNS
* INC # I5: 2,3 # H7: 7,8 => UNS
* INC # I5: 2,3 # H7: 6 => UNS
* INC # I5: 2,3 => UNS
* INC # I6: 2,3 # I2: 8,9 => UNS
* INC # I6: 2,3 # I2: 5 => UNS
* DIS # I6: 2,3 # H1: 2,4 => CTR => H1: 1,8
* INC # I6: 2,3 + H1: 1,8 # G2: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # G3: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # D3: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # D3: 7 => UNS
* INC # I6: 2,3 + H1: 1,8 # H9: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # H9: 6 => UNS
* INC # I6: 2,3 + H1: 1,8 # G5: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # G6: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # F6: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # F6: 5,7 => UNS
* INC # I6: 2,3 + H1: 1,8 # H7: 7,8 => UNS
* INC # I6: 2,3 + H1: 1,8 # H7: 6 => UNS
* INC # I6: 2,3 + H1: 1,8 # I5: 7,8 => UNS
* INC # I6: 2,3 + H1: 1,8 # I5: 5 => UNS
* INC # I6: 2,3 + H1: 1,8 # G2: 1,8 => UNS
* INC # I6: 2,3 + H1: 1,8 # G2: 2,4,5 => UNS
* INC # I6: 2,3 + H1: 1,8 # I2: 8,9 => UNS
* INC # I6: 2,3 + H1: 1,8 # I2: 5 => UNS
* INC # I6: 2,3 + H1: 1,8 # G2: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # G3: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # D3: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # D3: 7 => UNS
* INC # I6: 2,3 + H1: 1,8 # H9: 2,4 => UNS
* INC # I6: 2,3 + H1: 1,8 # H9: 6 => UNS
* INC # I6: 2,3 + H1: 1,8 # G5: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # G6: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # F6: 2,3 => UNS
* INC # I6: 2,3 + H1: 1,8 # F6: 5,7 => UNS
* INC # I6: 2,3 + H1: 1,8 # H7: 7,8 => UNS
* INC # I6: 2,3 + H1: 1,8 # H7: 6 => UNS
* INC # I6: 2,3 + H1: 1,8 # I5: 7,8 => UNS
* INC # I6: 2,3 + H1: 1,8 # I5: 5 => UNS
* INC # I6: 2,3 + H1: 1,8 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B9,H9: 4..:

* INC # B9: 4 # G2: 2,5 => UNS
* INC # B9: 4 # I2: 2,5 => UNS
* INC # B9: 4 # G5: 2,5 => UNS
* INC # B9: 4 # G6: 2,5 => UNS
* INC # B9: 4 # A7: 7,9 => UNS
* INC # B9: 4 # B7: 7,9 => UNS
* INC # B9: 4 # A8: 7,9 => UNS
* INC # B9: 4 # C8: 7,9 => UNS
* INC # B9: 4 # B2: 7,9 => UNS
* INC # B9: 4 # B4: 7,9 => UNS
* PRF # B9: 4 # D9: 2,6 => SOL
* STA # B9: 4 + D9: 2,6
* CNT  11 HDP CHAINS /  12 HYP OPENED