Analysis of xx-mith-te3-00023294-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 12.....89....8.23..8....4..26.81..7....3.2....3..67.2.31....8...726.8...8.6.31..2 initial

Autosolve

position: 12.....89....8.23..8....4..26.81..7.7..3.2....3..67.2.31....8...726.8...8.6.31..2 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: 0:00:15.345753

The following important HDP chains were detected:

* DIS # I5: 4,5,6 # G9: 5,9 => CTR => G9: 7
* DIS # I6: 1,8 # G9: 5,9 => CTR => G9: 7
* CNT   2 HDP CHAINS /  94 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000002

List of important HDP chains detected for G1,G9: 7..:

* PRF # G1: 7 # A2: 4,5 => SOL
* STA # G1: 7 + A2: 4,5
* CNT   1 HDP CHAINS /   2 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

12.....89....8.23..8....4..26.81..7....3.2....3..67.2.31....8...726.8...8.6.31..2 initial
12.....89....8.23..8....4..26.81..7.7..3.2....3..67.2.31....8...726.8...8.6.31..2 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
C5: 1,8
C6: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,D3: 1.. / D2 = 1  =>  2 pairs (_) / D3 = 1  =>  3 pairs (_)
C5,C6: 1.. / C5 = 1  =>  0 pairs (_) / C6 = 1  =>  1 pairs (_)
D2,I2: 1.. / D2 = 1  =>  2 pairs (_) / I2 = 1  =>  3 pairs (_)
D3,E3: 2.. / D3 = 2  =>  3 pairs (_) / E3 = 2  =>  2 pairs (_)
D7,E7: 2.. / D7 = 2  =>  2 pairs (_) / E7 = 2  =>  3 pairs (_)
D3,D7: 2.. / D3 = 2  =>  3 pairs (_) / D7 = 2  =>  2 pairs (_)
E3,E7: 2.. / E3 = 2  =>  2 pairs (_) / E7 = 2  =>  3 pairs (_)
C1,C3: 3.. / C1 = 3  =>  2 pairs (_) / C3 = 3  =>  5 pairs (_)
F1,F3: 3.. / F1 = 3  =>  5 pairs (_) / F3 = 3  =>  2 pairs (_)
G4,I4: 3.. / G4 = 3  =>  3 pairs (_) / I4 = 3  =>  3 pairs (_)
G8,I8: 3.. / G8 = 3  =>  3 pairs (_) / I8 = 3  =>  3 pairs (_)
C1,F1: 3.. / C1 = 3  =>  2 pairs (_) / F1 = 3  =>  5 pairs (_)
C3,F3: 3.. / C3 = 3  =>  5 pairs (_) / F3 = 3  =>  2 pairs (_)
G4,G8: 3.. / G4 = 3  =>  3 pairs (_) / G8 = 3  =>  3 pairs (_)
I4,I8: 3.. / I4 = 3  =>  3 pairs (_) / I8 = 3  =>  3 pairs (_)
A2,A3: 6.. / A2 = 6  =>  5 pairs (_) / A3 = 6  =>  3 pairs (_)
H7,I7: 6.. / H7 = 6  =>  3 pairs (_) / I7 = 6  =>  5 pairs (_)
F1,G1: 6.. / F1 = 6  =>  4 pairs (_) / G1 = 6  =>  5 pairs (_)
G1,G5: 6.. / G1 = 6  =>  5 pairs (_) / G5 = 6  =>  4 pairs (_)
I7,G9: 7.. / I7 = 7  => 11 pairs (_) / G9 = 7  =>  5 pairs (_)
D9,G9: 7.. / D9 = 7  => 11 pairs (_) / G9 = 7  =>  5 pairs (_)
G1,G9: 7.. / G1 = 7  => 11 pairs (_) / G9 = 7  =>  5 pairs (_)
C5,C6: 8.. / C5 = 8  =>  1 pairs (_) / C6 = 8  =>  0 pairs (_)
I5,I6: 8.. / I5 = 8  =>  0 pairs (_) / I6 = 8  =>  1 pairs (_)
C5,I5: 8.. / C5 = 8  =>  1 pairs (_) / I5 = 8  =>  0 pairs (_)
C6,I6: 8.. / C6 = 8  =>  0 pairs (_) / I6 = 8  =>  1 pairs (_)
* DURATION: 0:00:06.424777  START: 09:36:37.723498  END: 09:36:44.148275 2025-04-04
* CP COUNT: (26)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G1,G9: 7.. / G1 = 7 ==>  0 pairs (*) / G9 = 7  =>  0 pairs (X)
* DURATION: 0:00:07.112638  START: 09:37:00.823384  END: 09:37:07.936022 2025-04-04
* REASONING G1,G9: 7..
* PRF # G1: 7 # A2: 4,5 => SOL
* STA # G1: 7 + A2: 4,5
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

rating: 4745; r2: 76957; index: 23294

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I5: 1,8 => UNS
* INC # I5: 4,5,6 => UNS
* INC # I6: 1,8 => UNS
* INC # I6: 4,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I5: 1,8 => UNS
* INC # I5: 4,5,6 => UNS
* INC # I6: 1,8 => UNS
* INC # I6: 4,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I5: 1,8 => UNS
* INC # I5: 4,5,6 => UNS
* INC # I6: 1,8 => UNS
* INC # I6: 4,5 => UNS
* INC # I5: 1,8 # I6: 1,8 => UNS
* INC # I5: 1,8 # I6: 4,5 => UNS
* INC # I5: 1,8 # I6: 1,8 => UNS
* INC # I5: 1,8 # I6: 4,5 => UNS
* INC # I5: 1,8 => UNS
* INC # I5: 4,5,6 # G4: 5,9 => UNS
* INC # I5: 4,5,6 # G5: 5,9 => UNS
* INC # I5: 4,5,6 # H5: 5,9 => UNS
* INC # I5: 4,5,6 # A6: 5,9 => UNS
* INC # I5: 4,5,6 # D6: 5,9 => UNS
* INC # I5: 4,5,6 # G8: 5,9 => UNS
* DIS # I5: 4,5,6 # G9: 5,9 => CTR => G9: 7
* INC # I5: 4,5,6 + G9: 7 # G8: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G8: 1,3 => UNS
* INC # I5: 4,5,6 + G9: 7 # G4: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G5: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # H5: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # A6: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # D6: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G8: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G8: 1,3 => UNS
* INC # I5: 4,5,6 + G9: 7 # I2: 5,6 => UNS
* INC # I5: 4,5,6 + G9: 7 # H3: 5,6 => UNS
* INC # I5: 4,5,6 + G9: 7 # I3: 5,6 => UNS
* INC # I5: 4,5,6 + G9: 7 # F1: 5,6 => UNS
* INC # I5: 4,5,6 + G9: 7 # F1: 3,4 => UNS
* INC # I5: 4,5,6 + G9: 7 # G5: 5,6 => UNS
* INC # I5: 4,5,6 + G9: 7 # G5: 1,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G4: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G5: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # H5: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # A6: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # D6: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G8: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # G8: 1,3 => UNS
* INC # I5: 4,5,6 + G9: 7 # D3: 2,7 => UNS
* INC # I5: 4,5,6 + G9: 7 # D3: 1,5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 # E3: 2,7 => UNS
* INC # I5: 4,5,6 + G9: 7 # E3: 5,9 => UNS
* INC # I5: 4,5,6 + G9: 7 => UNS
* INC # I6: 1,8 # I5: 1,8 => UNS
* INC # I6: 1,8 # I5: 4,5,6 => UNS
* INC # I6: 1,8 # G4: 5,9 => UNS
* INC # I6: 1,8 # G5: 5,9 => UNS
* INC # I6: 1,8 # H5: 5,9 => UNS
* INC # I6: 1,8 # A6: 5,9 => UNS
* INC # I6: 1,8 # D6: 5,9 => UNS
* INC # I6: 1,8 # G8: 5,9 => UNS
* DIS # I6: 1,8 # G9: 5,9 => CTR => G9: 7
* INC # I6: 1,8 + G9: 7 # G8: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G8: 1,3 => UNS
* INC # I6: 1,8 + G9: 7 # G4: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G5: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # H5: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # A6: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # D6: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G8: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G8: 1,3 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 1,8 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 4,5,6 => UNS
* INC # I6: 1,8 + G9: 7 # I2: 5,6 => UNS
* INC # I6: 1,8 + G9: 7 # H3: 5,6 => UNS
* INC # I6: 1,8 + G9: 7 # I3: 5,6 => UNS
* INC # I6: 1,8 + G9: 7 # F1: 5,6 => UNS
* INC # I6: 1,8 + G9: 7 # F1: 3,4 => UNS
* INC # I6: 1,8 + G9: 7 # G5: 5,6 => UNS
* INC # I6: 1,8 + G9: 7 # G5: 1,9 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 1,8 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 4,5,6 => UNS
* INC # I6: 1,8 + G9: 7 # G4: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G5: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # H5: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # A6: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # D6: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G8: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 # G8: 1,3 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 1,8 => UNS
* INC # I6: 1,8 + G9: 7 # I5: 4,5,6 => UNS
* INC # I6: 1,8 + G9: 7 # D3: 2,7 => UNS
* INC # I6: 1,8 + G9: 7 # D3: 1,5,9 => UNS
* INC # I6: 1,8 + G9: 7 # E3: 2,7 => UNS
* INC # I6: 1,8 + G9: 7 # E3: 5,9 => UNS
* INC # I6: 1,8 + G9: 7 => UNS
* INC # I6: 4,5 # I4: 4,5 => UNS
* INC # I6: 4,5 # H5: 4,5 => UNS
* INC # I6: 4,5 # A6: 4,5 => UNS
* INC # I6: 4,5 # D6: 4,5 => UNS
* INC # I6: 4,5 # I7: 4,5 => UNS
* INC # I6: 4,5 # I8: 4,5 => UNS
* INC # I6: 4,5 => UNS
* CNT  94 HDP CHAINS /  94 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G1,G9: 7..:

* PRF # G1: 7 # A2: 4,5 => SOL
* STA # G1: 7 + A2: 4,5
* CNT   1 HDP CHAINS /   2 HYP OPENED