Analysis of xx-ph-00000330-L22-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. initial

Autosolve

position: 1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. 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: 0:00:12.144449

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000017

List of important HDP chains detected for D1,D6: 2..:

* PRF # D6: 2 # E1: 4,5 => SOL
* STA # D6: 2 + E1: 4,5
* CNT   1 HDP CHAINS /  13 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....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. initial
1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A5: 5,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H5,I6: 2.. / H5 = 2  =>  1 pairs (_) / I6 = 2  =>  2 pairs (_)
E5,H5: 2.. / E5 = 2  =>  2 pairs (_) / H5 = 2  =>  1 pairs (_)
B7,I7: 2.. / B7 = 2  =>  1 pairs (_) / I7 = 2  =>  1 pairs (_)
D1,D6: 2.. / D1 = 2  =>  2 pairs (_) / D6 = 2  =>  2 pairs (_)
H5,H8: 2.. / H5 = 2  =>  1 pairs (_) / H8 = 2  =>  2 pairs (_)
I4,G5: 4.. / I4 = 4  =>  2 pairs (_) / G5 = 4  =>  1 pairs (_)
B4,A5: 5.. / B4 = 5  =>  4 pairs (_) / A5 = 5  =>  0 pairs (_)
I2,I3: 6.. / I2 = 6  =>  2 pairs (_) / I3 = 6  =>  2 pairs (_)
A6,B6: 6.. / A6 = 6  =>  1 pairs (_) / B6 = 6  =>  2 pairs (_)
E8,E9: 6.. / E8 = 6  =>  1 pairs (_) / E9 = 6  =>  1 pairs (_)
D8,D9: 9.. / D8 = 9  =>  2 pairs (_) / D9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.429780  START: 15:51:29.354947  END: 15:51:36.784727 2020-10-17
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,A5: 5.. / B4 = 5 ==>  4 pairs (_) / A5 = 5 ==>  0 pairs (_)
D8,D9: 9.. / D8 = 9 ==>  2 pairs (_) / D9 = 9 ==>  2 pairs (_)
I2,I3: 6.. / I2 = 6 ==>  2 pairs (_) / I3 = 6 ==>  2 pairs (_)
D1,D6: 2.. / D1 = 2 ==>  2 pairs (_) / D6 = 2 ==>  0 pairs (*)
* DURATION: 0:00:41.369805  START: 15:51:50.667808  END: 15:52:32.037613 2020-10-17
* REASONING D1,D6: 2..
* PRF # D6: 2 # E1: 4,5 => SOL
* STA # D6: 2 + E1: 4,5
* CNT   1 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

330;L22;elev;21;11.40;11.40;9.90

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A3: 5,9 => UNS
* INC # A3: 6,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A3: 5,9 => UNS
* INC # A3: 6,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A3: 5,9 => UNS
* INC # A3: 6,7 => UNS
* INC # A3: 5,9 # B1: 5,9 => UNS
* INC # A3: 5,9 # B3: 5,9 => UNS
* INC # A3: 5,9 # G3: 5,9 => UNS
* INC # A3: 5,9 # I3: 5,9 => UNS
* INC # A3: 5,9 # B6: 6,7 => UNS
* INC # A3: 5,9 # B6: 1,8,9 => UNS
* INC # A3: 5,9 # A2: 6,7 => UNS
* INC # A3: 5,9 # A8: 6,7 => UNS
* INC # A3: 5,9 # A8: 3,4 => UNS
* INC # A3: 5,9 # A8: 6,7 => UNS
* INC # A3: 5,9 # E7: 3,4 => UNS
* INC # A3: 5,9 # F7: 3,4 => UNS
* INC # A3: 5,9 # G7: 3,4 => UNS
* INC # A3: 5,9 # I7: 3,4 => UNS
* INC # A3: 5,9 # A2: 3,4 => UNS
* INC # A3: 5,9 # A2: 6,7 => UNS
* INC # A3: 5,9 => UNS
* INC # A3: 6,7 # A2: 6,7 => UNS
* INC # A3: 6,7 # B2: 6,7 => UNS
* INC # A3: 6,7 # C2: 6,7 => UNS
* INC # A3: 6,7 # B3: 6,7 => UNS
* INC # A3: 6,7 # C3: 6,7 => UNS
* INC # A3: 6,7 # A6: 6,7 => UNS
* INC # A3: 6,7 # A8: 6,7 => UNS
* INC # A3: 6,7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,A5: 5..:

* INC # B4: 5 # C4: 1,8 => UNS
* INC # B4: 5 # B6: 1,8 => UNS
* INC # B4: 5 # F5: 1,8 => UNS
* INC # B4: 5 # H5: 1,8 => UNS
* INC # B4: 5 # B6: 6,7 => UNS
* INC # B4: 5 # B6: 1,8 => UNS
* INC # B4: 5 # A2: 6,7 => UNS
* INC # B4: 5 # A3: 6,7 => UNS
* INC # B4: 5 # A8: 6,7 => UNS
* INC # B4: 5 # I4: 4,8 => UNS
* INC # B4: 5 # I4: 1,3 => UNS
* INC # B4: 5 # F5: 4,8 => UNS
* INC # B4: 5 # F5: 1,5 => UNS
* INC # B4: 5 # G7: 4,8 => UNS
* INC # B4: 5 # G8: 4,8 => UNS
* INC # B4: 5 # A8: 3,4 => UNS
* INC # B4: 5 # A8: 6,7 => UNS
* INC # B4: 5 # E7: 3,4 => UNS
* INC # B4: 5 # F7: 3,4 => UNS
* INC # B4: 5 # G7: 3,4 => UNS
* INC # B4: 5 # I7: 3,4 => UNS
* INC # B4: 5 # A2: 3,4 => UNS
* INC # B4: 5 # A2: 5,6,7 => UNS
* INC # B4: 5 => UNS
* INC # A5: 5 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for D8,D9: 9..:

* INC # D8: 9 # A3: 5,9 => UNS
* INC # D8: 9 # A3: 6,7 => UNS
* INC # D8: 9 # E8: 4,5 => UNS
* INC # D8: 9 # F8: 4,5 => UNS
* INC # D8: 9 # E9: 4,5 => UNS
* INC # D8: 9 # I9: 4,5 => UNS
* INC # D8: 9 # I9: 3,9 => UNS
* INC # D8: 9 # D1: 4,5 => UNS
* INC # D8: 9 # D2: 4,5 => UNS
* INC # D8: 9 # D4: 4,5 => UNS
* INC # D8: 9 => UNS
* INC # D9: 9 # A3: 5,9 => UNS
* INC # D9: 9 # A3: 6,7 => UNS
* INC # D9: 9 # G8: 3,7 => UNS
* INC # D9: 9 # H8: 3,7 => UNS
* INC # D9: 9 # C9: 3,7 => UNS
* INC # D9: 9 # C9: 6 => UNS
* INC # D9: 9 # H1: 3,7 => UNS
* INC # D9: 9 # H2: 3,7 => UNS
* INC # D9: 9 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I2,I3: 6..:

* INC # I2: 6 # C1: 3,7 => UNS
* INC # I2: 6 # A2: 3,7 => UNS
* INC # I2: 6 # H2: 3,7 => UNS
* INC # I2: 6 # H2: 1 => UNS
* INC # I2: 6 # C8: 3,7 => UNS
* INC # I2: 6 # C9: 3,7 => UNS
* INC # I2: 6 # A3: 5,9 => UNS
* INC # I2: 6 # A3: 6,7 => UNS
* INC # I2: 6 => UNS
* INC # I3: 6 # D1: 4,5 => UNS
* INC # I3: 6 # E1: 4,5 => UNS
* INC # I3: 6 # A2: 4,5 => UNS
* INC # I3: 6 # B2: 4,5 => UNS
* INC # I3: 6 # D4: 4,5 => UNS
* INC # I3: 6 # D8: 4,5 => UNS
* INC # I3: 6 # D9: 4,5 => UNS
* INC # I3: 6 # A3: 5,9 => UNS
* INC # I3: 6 # A3: 7 => UNS
* INC # I3: 6 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for D1,D6: 2..:

* INC # D1: 2 # A3: 5,9 => UNS
* INC # D1: 2 # A3: 6,7 => UNS
* INC # D1: 2 # D4: 1,8 => UNS
* INC # D1: 2 # F4: 1,8 => UNS
* INC # D1: 2 # F5: 1,8 => UNS
* INC # D1: 2 # F6: 1,8 => UNS
* INC # D1: 2 # B6: 1,8 => UNS
* INC # D1: 2 # I6: 1,8 => UNS
* INC # D1: 2 # D8: 1,8 => UNS
* INC # D1: 2 # D8: 4,5,9 => UNS
* INC # D1: 2 => UNS
* PRF # D6: 2 # E1: 4,5 => SOL
* STA # D6: 2 + E1: 4,5
* CNT  12 HDP CHAINS /  13 HYP OPENED