Analysis of xx-ph-00000448-167-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ..34....9.5.......7....2.6.2...7.....95...4....85..3.....8..9.3.....1.......6..1. initial

Autosolve

position: ..34....9.5.....3.7....2.6.2...7.....95...4...785..3.....8..9.3.....1.......6..1. 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: 0:00:11.862328

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

Time used: 0:00:00.000011

List of important HDP chains detected for H7,H8: 4..:

* DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9
* PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL
* STA # H7: 4 + E8: 3,4,9 + F9: 5,7
* CNT   2 HDP CHAINS /   5 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

..34....9.5.......7....2.6.2...7.....95...4....85..3.....8..9.3.....1.......6..1. initial
..34....9.5.....3.7....2.6.2...7.....95...4...785..3.....8..9.3.....1.......6..1. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
H6: 2,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B1,C2: 2.. / B1 = 2  =>  1 pairs (_) / C2 = 2  =>  1 pairs (_)
D3,E3: 3.. / D3 = 3  =>  1 pairs (_) / E3 = 3  =>  2 pairs (_)
B4,A5: 3.. / B4 = 3  =>  2 pairs (_) / A5 = 3  =>  2 pairs (_)
I2,I3: 4.. / I2 = 4  =>  1 pairs (_) / I3 = 4  =>  3 pairs (_)
H7,H8: 4.. / H7 = 4  =>  3 pairs (_) / H8 = 4  =>  1 pairs (_)
G8,I8: 6.. / G8 = 6  =>  1 pairs (_) / I8 = 6  =>  6 pairs (_)
G4,G8: 6.. / G4 = 6  =>  6 pairs (_) / G8 = 6  =>  1 pairs (_)
H5,I5: 7.. / H5 = 7  =>  1 pairs (_) / I5 = 7  =>  2 pairs (_)
H4,H6: 9.. / H4 = 9  =>  2 pairs (_) / H6 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.824889  START: 19:22:06.555237  END: 19:22:12.380126 2020-10-25
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,G8: 6.. / G4 = 6 ==>  6 pairs (_) / G8 = 6 ==>  1 pairs (_)
G8,I8: 6.. / G8 = 6 ==>  1 pairs (_) / I8 = 6 ==>  6 pairs (_)
H7,H8: 4.. / H7 = 4 ==>  0 pairs (*) / H8 = 4  =>  0 pairs (X)
* DURATION: 0:00:31.983586  START: 19:22:26.219831  END: 19:22:58.203417 2020-10-25
* REASONING H7,H8: 4..
* DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9
* PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL
* STA # H7: 4 + E8: 3,4,9 + F9: 5,7
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

448;167;elev;21;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E6: 2,9 => UNS
* INC # E6: 1,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E6: 2,9 => UNS
* INC # E6: 1,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E6: 2,9 => UNS
* INC # E6: 1,4 => UNS
* INC # E6: 2,9 # E8: 2,9 => UNS
* INC # E6: 2,9 # E8: 3,4,5 => UNS
* INC # E6: 2,9 # F4: 4,6 => UNS
* INC # E6: 2,9 # F4: 3,8,9 => UNS
* INC # E6: 2,9 # A6: 4,6 => UNS
* INC # E6: 2,9 # A6: 1 => UNS
* INC # E6: 2,9 # G4: 1,6 => UNS
* INC # E6: 2,9 # I4: 1,6 => UNS
* INC # E6: 2,9 # I5: 1,6 => UNS
* INC # E6: 2,9 # A6: 1,6 => UNS
* INC # E6: 2,9 # A6: 4 => UNS
* INC # E6: 2,9 # F9: 5,7 => UNS
* INC # E6: 2,9 # F9: 3,9 => UNS
* INC # E6: 2,9 # H7: 5,7 => UNS
* INC # E6: 2,9 # H7: 2,4 => UNS
* INC # E6: 2,9 # F1: 5,7 => UNS
* INC # E6: 2,9 # F1: 6,8 => UNS
* INC # E6: 2,9 => UNS
* INC # E6: 1,4 # A6: 1,4 => UNS
* INC # E6: 1,4 # A6: 6 => UNS
* INC # E6: 1,4 # I5: 7,8 => UNS
* INC # E6: 1,4 # I5: 1,6 => UNS
* INC # E6: 1,4 # H1: 7,8 => UNS
* INC # E6: 1,4 # H8: 7,8 => UNS
* INC # E6: 1,4 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,G8: 6..:

* INC # G4: 6 # A2: 1,8 => UNS
* INC # G4: 6 # B3: 1,8 => UNS
* INC # G4: 6 # E1: 1,8 => UNS
* INC # G4: 6 # G1: 1,8 => UNS
* INC # G4: 6 # B7: 2,6 => UNS
* INC # G4: 6 # B7: 1,4 => UNS
* INC # G4: 6 # C7: 2,6 => UNS
* INC # G4: 6 # C7: 1,4,7 => UNS
* INC # G4: 6 # B4: 1,4 => UNS
* INC # G4: 6 # A6: 1,4 => UNS
* INC # G4: 6 # C3: 1,4 => UNS
* INC # G4: 6 # C7: 1,4 => UNS
* INC # G4: 6 # E6: 2,9 => UNS
* INC # G4: 6 # E6: 1,4 => UNS
* INC # G4: 6 # I5: 1,2 => UNS
* INC # G4: 6 # I5: 7,8 => UNS
* INC # G4: 6 # E6: 1,2 => UNS
* INC # G4: 6 # E6: 4,9 => UNS
* INC # G4: 6 => UNS
* INC # G8: 6 # E6: 2,9 => UNS
* INC # G8: 6 # E6: 1,4 => UNS
* INC # G8: 6 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for G8,I8: 6..:

* INC # I8: 6 # A2: 1,8 => UNS
* INC # I8: 6 # B3: 1,8 => UNS
* INC # I8: 6 # E1: 1,8 => UNS
* INC # I8: 6 # G1: 1,8 => UNS
* INC # I8: 6 # B7: 2,6 => UNS
* INC # I8: 6 # B7: 1,4 => UNS
* INC # I8: 6 # C7: 2,6 => UNS
* INC # I8: 6 # C7: 1,4,7 => UNS
* INC # I8: 6 # B4: 1,4 => UNS
* INC # I8: 6 # A6: 1,4 => UNS
* INC # I8: 6 # C3: 1,4 => UNS
* INC # I8: 6 # C7: 1,4 => UNS
* INC # I8: 6 # E6: 2,9 => UNS
* INC # I8: 6 # E6: 1,4 => UNS
* INC # I8: 6 # I5: 1,2 => UNS
* INC # I8: 6 # I5: 7,8 => UNS
* INC # I8: 6 # E6: 1,2 => UNS
* INC # I8: 6 # E6: 4,9 => UNS
* INC # I8: 6 => UNS
* INC # G8: 6 # E6: 2,9 => UNS
* INC # G8: 6 # E6: 1,4 => UNS
* INC # G8: 6 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H7,H8: 4..:

* INC # H7: 4 # E6: 2,9 => UNS
* INC # H7: 4 # E6: 1,4 => UNS
* DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9
* PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL
* STA # H7: 4 + E8: 3,4,9 + F9: 5,7
* CNT   4 HDP CHAINS /   5 HYP OPENED