Analysis of xx-ph-00001145-L102-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2...6...4..18........32.....5....7.3...9.4...1.8..3...7.....6.8...1.9....2.....5 initial

Autosolve

position: .2...6...4..18........32.....5....7.3...9.4...1.8..3...7.....6.8...1.9....2.....5 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: 0:01:25.980212

The following important HDP chains were detected:

* DIS # B4: 6,8 # C2: 9 => CTR => C2: 3,6
* CNT   1 HDP CHAINS / 139 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000042

List of important HDP chains detected for A4,A6: 2..:

* PRF # A4: 2 # E6: 4,6 => SOL
* STA # A4: 2 + E6: 4,6
* CNT   1 HDP CHAINS /  28 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

.2...6...4..18........32.....5....7.3...9.4...1.8..3...7.....6.8...1.9....2.....5 initial
.2...6...4..18........32.....5....7.3...9.4...1.8..3...7.....6.8...1.9....2.....5 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B5: 6,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F4,F5: 1.. / F4 = 1  =>  2 pairs (_) / F5 = 1  =>  2 pairs (_)
A4,A6: 2.. / A4 = 2  =>  2 pairs (_) / A6 = 2  =>  4 pairs (_)
D4,F4: 3.. / D4 = 3  =>  2 pairs (_) / F4 = 3  =>  1 pairs (_)
B4,C6: 4.. / B4 = 4  =>  3 pairs (_) / C6 = 4  =>  3 pairs (_)
H5,H6: 5.. / H5 = 5  =>  3 pairs (_) / H6 = 5  =>  2 pairs (_)
A7,B8: 5.. / A7 = 5  =>  2 pairs (_) / B8 = 5  =>  2 pairs (_)
I8,G9: 7.. / I8 = 7  =>  2 pairs (_) / G9 = 7  =>  2 pairs (_)
F7,F9: 8.. / F7 = 8  =>  2 pairs (_) / F9 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.055554  START: 16:02:16.925095  END: 16:02:23.980649 2020-11-25
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A4,A6: 2.. / A4 = 2 ==>  0 pairs (*) / A6 = 2 ==>  4 pairs (_)
* DURATION: 0:00:24.321937  START: 16:03:56.847645  END: 16:04:21.169582 2020-11-25
* REASONING A4,A6: 2..
* PRF # A4: 2 # E6: 4,6 => SOL
* STA # A4: 2 + E6: 4,6
* CNT   1 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1145;L102;elev;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # B4: 6,8 => UNS
* INC # C5: 6,8 => UNS
* INC # I5: 6,8 => UNS
* INC # I5: 1,2 => UNS
* INC # B3: 6,8 => UNS
* INC # B3: 5,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B4: 6,8 => UNS
* INC # C5: 6,8 => UNS
* INC # I5: 6,8 => UNS
* INC # I5: 1,2 => UNS
* INC # B3: 6,8 => UNS
* INC # B3: 5,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B4: 6,8 => UNS
* INC # C5: 6,8 => UNS
* INC # I5: 6,8 => UNS
* INC # I5: 1,2 => UNS
* INC # B3: 6,8 => UNS
* INC # B3: 5,9 => UNS
* INC # B4: 6,8 # B2: 5,9 => UNS
* INC # B4: 6,8 # B2: 3 => UNS
* INC # B4: 6,8 # D3: 5,9 => UNS
* INC # B4: 6,8 # D3: 4,7 => UNS
* INC # B4: 6,8 # I4: 2,9 => UNS
* INC # B4: 6,8 # I4: 1,6,8 => UNS
* INC # B4: 6,8 # G4: 6,8 => UNS
* INC # B4: 6,8 # I4: 6,8 => UNS
* INC # B4: 6,8 # I5: 6,8 => UNS
* INC # B4: 6,8 # I5: 1,2 => UNS
* INC # B4: 6,8 # H6: 2,9 => UNS
* INC # B4: 6,8 # I6: 2,9 => UNS
* INC # B4: 6,8 # H5: 1,5 => UNS
* INC # B4: 6,8 # H5: 2,8 => UNS
* INC # B4: 6,8 # E6: 5,7 => UNS
* INC # B4: 6,8 # E6: 2,6 => UNS
* INC # B4: 6,8 # F2: 5,7 => UNS
* INC # B4: 6,8 # F8: 5,7 => UNS
* INC # B4: 6,8 # A1: 1,5 => UNS
* INC # B4: 6,8 # A3: 1,5 => UNS
* INC # B4: 6,8 # D8: 3,6 => UNS
* INC # B4: 6,8 # D8: 2,4,5,7 => UNS
* INC # B4: 6,8 # C2: 3,6 => UNS
* DIS # B4: 6,8 # C2: 9 => CTR => C2: 3,6
* INC # B4: 6,8 + C2: 3,6 # D8: 3,6 => UNS
* INC # B4: 6,8 + C2: 3,6 # D8: 2,4,5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # A3: 1,6 => UNS
* INC # B4: 6,8 + C2: 3,6 # A3: 5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # B2: 5,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # B2: 3 => UNS
* INC # B4: 6,8 + C2: 3,6 # D3: 5,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # D3: 4,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # I2: 2,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # I2: 6,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # H6: 2,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # H6: 5 => UNS
* INC # B4: 6,8 + C2: 3,6 # I4: 2,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # I4: 1,6,8 => UNS
* INC # B4: 6,8 + C2: 3,6 # G4: 6,8 => UNS
* INC # B4: 6,8 + C2: 3,6 # I4: 6,8 => UNS
* INC # B4: 6,8 + C2: 3,6 # I5: 6,8 => UNS
* INC # B4: 6,8 + C2: 3,6 # I5: 1,2 => UNS
* INC # B4: 6,8 + C2: 3,6 # H6: 2,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # I6: 2,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # H5: 1,5 => UNS
* INC # B4: 6,8 + C2: 3,6 # H5: 2,8 => UNS
* INC # B4: 6,8 + C2: 3,6 # E6: 5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # E6: 2,6 => UNS
* INC # B4: 6,8 + C2: 3,6 # F2: 5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # F8: 5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # A1: 1,5 => UNS
* INC # B4: 6,8 + C2: 3,6 # A3: 1,5 => UNS
* INC # B4: 6,8 + C2: 3,6 # C1: 1,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # C3: 1,9 => UNS
* INC # B4: 6,8 + C2: 3,6 # D8: 3,6 => UNS
* INC # B4: 6,8 + C2: 3,6 # D8: 2,4,5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 # A3: 1,6 => UNS
* INC # B4: 6,8 + C2: 3,6 # A3: 5,7 => UNS
* INC # B4: 6,8 + C2: 3,6 => UNS
* INC # C5: 6,8 # A6: 2,9 => UNS
* INC # C5: 6,8 # A6: 7 => UNS
* INC # C5: 6,8 # I4: 2,9 => UNS
* INC # C5: 6,8 # I4: 1,6,8 => UNS
* INC # C5: 6,8 # C6: 4,9 => UNS
* INC # C5: 6,8 # C6: 7 => UNS
* INC # C5: 6,8 # B9: 4,9 => UNS
* INC # C5: 6,8 # B9: 3,6 => UNS
* INC # C5: 6,8 # B3: 6,8 => UNS
* INC # C5: 6,8 # B3: 5,9 => UNS
* INC # C5: 6,8 # C3: 6,8 => UNS
* INC # C5: 6,8 # C3: 1,7,9 => UNS
* INC # C5: 6,8 # E6: 4,5 => UNS
* INC # C5: 6,8 # E6: 2,6 => UNS
* INC # C5: 6,8 # F7: 4,5 => UNS
* INC # C5: 6,8 # F8: 4,5 => UNS
* INC # C5: 6,8 # G4: 1,2 => UNS
* INC # C5: 6,8 # I4: 1,2 => UNS
* INC # C5: 6,8 # H5: 1,2 => UNS
* INC # C5: 6,8 # I7: 1,2 => UNS
* INC # C5: 6,8 # I7: 3,4,8 => UNS
* INC # C5: 6,8 => UNS
* INC # I5: 6,8 # B4: 6,8 => UNS
* INC # I5: 6,8 # B4: 4,9 => UNS
* INC # I5: 6,8 # E6: 2,5 => UNS
* INC # I5: 6,8 # E6: 4,6,7 => UNS
* INC # I5: 6,8 # H5: 2,5 => UNS
* INC # I5: 6,8 # H5: 1 => UNS
* INC # I5: 6,8 # D7: 2,5 => UNS
* INC # I5: 6,8 # D8: 2,5 => UNS
* INC # I5: 6,8 # H5: 1,5 => UNS
* INC # I5: 6,8 # H5: 2 => UNS
* INC # I5: 6,8 # G4: 6,8 => UNS
* INC # I5: 6,8 # I4: 6,8 => UNS
* INC # I5: 6,8 # I3: 6,8 => UNS
* INC # I5: 6,8 # I3: 1,4,7,9 => UNS
* INC # I5: 6,8 => UNS
* INC # I5: 1,2 # B4: 6,8 => UNS
* INC # I5: 1,2 # C5: 6,8 => UNS
* INC # I5: 1,2 # B3: 6,8 => UNS
* INC # I5: 1,2 # B3: 5,9 => UNS
* INC # I5: 1,2 # G4: 1,2 => UNS
* INC # I5: 1,2 # I4: 1,2 => UNS
* INC # I5: 1,2 # H5: 1,2 => UNS
* INC # I5: 1,2 # I7: 1,2 => UNS
* INC # I5: 1,2 # I7: 3,4,8 => UNS
* INC # I5: 1,2 => UNS
* INC # B3: 6,8 # C3: 6,8 => UNS
* INC # B3: 6,8 # C3: 1,7,9 => UNS
* INC # B3: 6,8 # G3: 6,8 => UNS
* INC # B3: 6,8 # I3: 6,8 => UNS
* INC # B3: 6,8 # C6: 4,9 => UNS
* INC # B3: 6,8 # C6: 6,7 => UNS
* INC # B3: 6,8 # B9: 4,9 => UNS
* INC # B3: 6,8 # B9: 3 => UNS
* INC # B3: 6,8 # C5: 6,8 => UNS
* INC # B3: 6,8 # C5: 7 => UNS
* INC # B3: 6,8 => UNS
* INC # B3: 5,9 # A1: 5,9 => UNS
* INC # B3: 5,9 # B2: 5,9 => UNS
* INC # B3: 5,9 # A3: 5,9 => UNS
* INC # B3: 5,9 # D3: 5,9 => UNS
* INC # B3: 5,9 # D3: 4,7 => UNS
* INC # B3: 5,9 # B4: 6,8 => UNS
* INC # B3: 5,9 # B4: 4,9 => UNS
* INC # B3: 5,9 # I5: 6,8 => UNS
* INC # B3: 5,9 # I5: 1,2 => UNS
* INC # B3: 5,9 # A6: 6,7 => UNS
* INC # B3: 5,9 # C6: 6,7 => UNS
* INC # B3: 5,9 # D5: 6,7 => UNS
* INC # B3: 5,9 # D5: 2,5 => UNS
* INC # B3: 5,9 # C2: 6,7 => UNS
* INC # B3: 5,9 # C3: 6,7 => UNS
* INC # B3: 5,9 => UNS
* CNT 139 HDP CHAINS / 139 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A4,A6: 2..:

* INC # A6: 2 # B4: 6,9 => UNS
* INC # A6: 2 # C6: 6,9 => UNS
* INC # A6: 2 # I4: 6,9 => UNS
* INC # A6: 2 # I4: 1,2,8 => UNS
* INC # A6: 2 # A3: 6,9 => UNS
* INC # A6: 2 # A9: 6,9 => UNS
* INC # A6: 2 # B4: 6,8 => UNS
* INC # A6: 2 # C5: 6,8 => UNS
* INC # A6: 2 # I5: 6,8 => UNS
* INC # A6: 2 # I5: 1,2 => UNS
* INC # A6: 2 # B3: 6,8 => UNS
* INC # A6: 2 # B3: 5,9 => UNS
* INC # A6: 2 # I4: 6,9 => UNS
* INC # A6: 2 # I4: 1,2,8 => UNS
* INC # A6: 2 # C6: 6,9 => UNS
* INC # A6: 2 # C6: 4,7 => UNS
* INC # A6: 2 # I2: 6,9 => UNS
* INC # A6: 2 # I3: 6,9 => UNS
* INC # A6: 2 => UNS
* INC # A4: 2 # B4: 6,8 => UNS
* INC # A4: 2 # C5: 6,8 => UNS
* INC # A4: 2 # I5: 6,8 => UNS
* INC # A4: 2 # I5: 1,2 => UNS
* INC # A4: 2 # B3: 6,8 => UNS
* INC # A4: 2 # B3: 5,9 => UNS
* INC # A4: 2 # D4: 4,6 => UNS
* PRF # A4: 2 # E6: 4,6 => SOL
* STA # A4: 2 + E6: 4,6
* CNT  27 HDP CHAINS /  28 HYP OPENED