Analysis of xx-ph-00277555-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2.....3.4..5...41....2.3..6..7.5....8..9.4.8......76...9..3...7..4. initial

Autosolve

position: ........1.....2.....3.4..5...41....2.3..6..7.5....8..9.4.8......76...9..3...7..4. 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: 0:00:27.136339

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000021

List of important HDP chains detected for C6,D6: 7..:

* PRF # D6: 7 # B6: 1,2 => SOL
* STA # D6: 7 + B6: 1,2
* 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

........1.....2.....3.4..5...41....2.3..6..7.5....8..9.4.8......76...9..3...7..4. initial
........1.....2.....3.4..5...41....2.3..6..7.5....8..9.4.8......76...9..3...7..4. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
E6: 2,3

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,F3: 1.. / E2 = 1  =>  1 pairs (_) / F3 = 1  =>  1 pairs (_)
A1,A2: 4.. / A1 = 4  =>  1 pairs (_) / A2 = 4  =>  2 pairs (_)
D8,F8: 4.. / D8 = 4  =>  2 pairs (_) / F8 = 4  =>  2 pairs (_)
A1,G1: 4.. / A1 = 4  =>  1 pairs (_) / G1 = 4  =>  2 pairs (_)
D6,G6: 4.. / D6 = 4  =>  2 pairs (_) / G6 = 4  =>  2 pairs (_)
F5,F8: 4.. / F5 = 4  =>  2 pairs (_) / F8 = 4  =>  2 pairs (_)
I2,I5: 4.. / I2 = 4  =>  2 pairs (_) / I5 = 4  =>  2 pairs (_)
A4,C6: 7.. / A4 = 7  =>  4 pairs (_) / C6 = 7  =>  1 pairs (_)
F4,D6: 7.. / F4 = 7  =>  1 pairs (_) / D6 = 7  =>  4 pairs (_)
G7,I7: 7.. / G7 = 7  =>  1 pairs (_) / I7 = 7  =>  2 pairs (_)
A4,F4: 7.. / A4 = 7  =>  4 pairs (_) / F4 = 7  =>  1 pairs (_)
C6,D6: 7.. / C6 = 7  =>  1 pairs (_) / D6 = 7  =>  4 pairs (_)
E1,E2: 8.. / E1 = 8  =>  1 pairs (_) / E2 = 8  =>  1 pairs (_)
H1,H2: 9.. / H1 = 9  =>  1 pairs (_) / H2 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.726922  START: 16:17:05.158308  END: 16:17:14.885230 2020-12-24
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C6,D6: 7.. / C6 = 7  =>  0 pairs (X) / D6 = 7 ==>  0 pairs (*)
* DURATION: 0:00:18.782099  START: 16:17:45.661726  END: 16:18:04.443825 2020-12-24
* REASONING C6,D6: 7..
* PRF # D6: 7 # B6: 1,2 => SOL
* STA # D6: 7 + B6: 1,2
* CNT   1 HDP CHAINS /  12 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

277555;12_12_03;dob;22;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D6: 2,3 => UNS
* INC # D6: 4,7 => UNS
* INC # E7: 2,3 => UNS
* INC # E8: 2,3 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D6: 2,3 => UNS
* INC # D6: 4,7 => UNS
* INC # E7: 2,3 => UNS
* INC # E8: 2,3 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D6: 2,3 => UNS
* INC # D6: 4,7 => UNS
* INC # E7: 2,3 => UNS
* INC # E8: 2,3 => UNS
* INC # D6: 2,3 # B2: 1,6 => UNS
* INC # D6: 2,3 # B3: 1,6 => UNS
* INC # D6: 2,3 # D5: 5,9 => UNS
* INC # D6: 2,3 # F5: 5,9 => UNS
* INC # D6: 2,3 # E1: 5,9 => UNS
* INC # D6: 2,3 # E2: 5,9 => UNS
* INC # D6: 2,3 # E7: 5,9 => UNS
* INC # D6: 2,3 # D8: 2,3 => UNS
* INC # D6: 2,3 # D8: 4,5 => UNS
* INC # D6: 2,3 # E7: 2,3 => UNS
* INC # D6: 2,3 # E8: 2,3 => UNS
* INC # D6: 2,3 # G4: 5,8 => UNS
* INC # D6: 2,3 # G5: 5,8 => UNS
* INC # D6: 2,3 # I8: 5,8 => UNS
* INC # D6: 2,3 # I9: 5,8 => UNS
* INC # D6: 2,3 # H7: 1,6 => UNS
* INC # D6: 2,3 # H7: 2 => UNS
* INC # D6: 2,3 => UNS
* INC # D6: 4,7 # E7: 2,3 => UNS
* INC # D6: 4,7 # E8: 2,3 => UNS
* INC # D6: 4,7 => UNS
* INC # E7: 2,3 # F4: 5,9 => UNS
* INC # E7: 2,3 # D5: 5,9 => UNS
* INC # E7: 2,3 # F5: 5,9 => UNS
* INC # E7: 2,3 # E1: 5,9 => UNS
* INC # E7: 2,3 # E2: 5,9 => UNS
* INC # E7: 2,3 # D6: 2,3 => UNS
* INC # E7: 2,3 # D6: 4,7 => UNS
* INC # E7: 2,3 # D8: 2,3 => UNS
* INC # E7: 2,3 # D8: 4,5 => UNS
* INC # E7: 2,3 # G7: 2,3 => UNS
* INC # E7: 2,3 # H7: 2,3 => UNS
* INC # E7: 2,3 # F7: 1,5 => UNS
* INC # E7: 2,3 # F8: 1,5 => UNS
* INC # E7: 2,3 # F9: 1,5 => UNS
* INC # E7: 2,3 # E2: 1,5 => UNS
* INC # E7: 2,3 # E2: 8,9 => UNS
* INC # E7: 2,3 => UNS
* INC # E8: 2,3 # F4: 5,9 => UNS
* INC # E8: 2,3 # D5: 5,9 => UNS
* INC # E8: 2,3 # F5: 5,9 => UNS
* INC # E8: 2,3 # E1: 5,9 => UNS
* INC # E8: 2,3 # E2: 5,9 => UNS
* INC # E8: 2,3 # E7: 5,9 => UNS
* INC # E8: 2,3 # D6: 2,3 => UNS
* INC # E8: 2,3 # D6: 4,7 => UNS
* INC # E8: 2,3 # D8: 2,3 => UNS
* INC # E8: 2,3 # D8: 4,5 => UNS
* INC # E8: 2,3 # H8: 2,3 => UNS
* INC # E8: 2,3 # H8: 1,8 => UNS
* INC # E8: 2,3 => UNS
* CNT  55 HDP CHAINS /  55 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C6,D6: 7..:

* INC # D6: 7 # D1: 6,9 => UNS
* INC # D6: 7 # F1: 6,9 => UNS
* INC # D6: 7 # D2: 6,9 => UNS
* INC # D6: 7 # F3: 6,9 => UNS
* INC # D6: 7 # A3: 6,9 => UNS
* INC # D6: 7 # A3: 1,2,8 => UNS
* INC # D6: 7 # D9: 6,9 => UNS
* INC # D6: 7 # D9: 2,5 => UNS
* INC # D6: 7 # A5: 1,2 => UNS
* INC # D6: 7 # C5: 1,2 => UNS
* PRF # D6: 7 # B6: 1,2 => SOL
* STA # D6: 7 + B6: 1,2
* CNT  11 HDP CHAINS /  12 HYP OPENED