Analysis of xx-mith-te3-00060532-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .23......4..78..3278.2..5.427.....485.....3.7.3...725..4.9..........8.25..261.... initial

Autosolve

position: .23......4..78..3278.2..5.427.....485.....3.7.3...725..4.9..........8.25..261.... 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: 0:00:34.009308

The following important HDP chains were detected:

* PRF # D5: 1 # E7: 7 => SOL
* STA # D5: 1 + E7: 7
* CNT   1 HDP CHAINS / 151 HYP OPENED

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

Details

Positions

.23......4..78..3278.2..5.427.....485.....3.7.3...725..4.9..........8.25..261.... initial
.23......4..78..3278.2..5.427.....485.....3.7.3...725..4.9..........8.25..261.... autosolve
123456789456789132789231564271593648568124397934867251345972816617348925892615473 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (9)
G1: 7,8
H1: 7,8
C5: 4,8
C6: 4,8
C7: 5,7
B9: 5,9
F7: 2,5
D8: 3,4
I9: 3,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E5,F5: 2.. / E5 = 2  =>  9 pairs (_) / F5 = 2  =>  7 pairs (_)
E7,F7: 2.. / E7 = 2  =>  7 pairs (_) / F7 = 2  =>  9 pairs (_)
E5,E7: 2.. / E5 = 2  =>  9 pairs (_) / E7 = 2  =>  7 pairs (_)
F5,F7: 2.. / F5 = 2  =>  7 pairs (_) / F7 = 2  =>  9 pairs (_)
E3,F3: 3.. / E3 = 3  => 10 pairs (_) / F3 = 3  => 14 pairs (_)
I7,I9: 3.. / I7 = 3  => 13 pairs (_) / I9 = 3  => 12 pairs (_)
A7,I7: 3.. / A7 = 3  => 12 pairs (_) / I7 = 3  => 13 pairs (_)
D4,D8: 3.. / D4 = 3  => 11 pairs (_) / D8 = 3  => 14 pairs (_)
C5,C6: 4.. / C5 = 4  =>  8 pairs (_) / C6 = 4  =>  9 pairs (_)
G8,G9: 4.. / G8 = 4  => 10 pairs (_) / G9 = 4  =>  9 pairs (_)
F9,G9: 4.. / F9 = 4  => 10 pairs (_) / G9 = 4  =>  9 pairs (_)
B2,C2: 5.. / B2 = 5  => 11 pairs (_) / C2 = 5  =>  9 pairs (_)
C7,B9: 5.. / C7 = 5  => 11 pairs (_) / B9 = 5  =>  9 pairs (_)
B9,F9: 5.. / B9 = 5  =>  9 pairs (_) / F9 = 5  => 11 pairs (_)
B2,B9: 5.. / B2 = 5  => 11 pairs (_) / B9 = 5  =>  9 pairs (_)
C2,C7: 5.. / C2 = 5  =>  9 pairs (_) / C7 = 5  => 11 pairs (_)
D1,D4: 5.. / D1 = 5  => 10 pairs (_) / D4 = 5  => 14 pairs (_)
G1,H1: 7.. / G1 = 7  =>  8 pairs (_) / H1 = 7  => 10 pairs (_)
C7,C8: 7.. / C7 = 7  =>  9 pairs (_) / C8 = 7  => 11 pairs (_)
E7,E8: 7.. / E7 = 7  => 11 pairs (_) / E8 = 7  =>  9 pairs (_)
G9,H9: 7.. / G9 = 7  => 10 pairs (_) / H9 = 7  =>  8 pairs (_)
C7,E7: 7.. / C7 = 7  =>  9 pairs (_) / E7 = 7  => 11 pairs (_)
C8,E8: 7.. / C8 = 7  => 11 pairs (_) / E8 = 7  =>  9 pairs (_)
G1,G9: 7.. / G1 = 7  =>  8 pairs (_) / G9 = 7  => 10 pairs (_)
H1,H9: 7.. / H1 = 7  => 10 pairs (_) / H9 = 7  =>  8 pairs (_)
G1,H1: 8.. / G1 = 8  => 10 pairs (_) / H1 = 8  =>  8 pairs (_)
C5,C6: 8.. / C5 = 8  =>  9 pairs (_) / C6 = 8  =>  8 pairs (_)
D5,D6: 8.. / D5 = 8  =>  8 pairs (_) / D6 = 8  =>  9 pairs (_)
A7,A9: 8.. / A7 = 8  => 13 pairs (_) / A9 = 8  => 10 pairs (_)
C5,D5: 8.. / C5 = 8  =>  9 pairs (_) / D5 = 8  =>  8 pairs (_)
C6,D6: 8.. / C6 = 8  =>  8 pairs (_) / D6 = 8  =>  9 pairs (_)
* DURATION: 0:00:09.791180  START: 09:28:01.761707  END: 09:28:11.552887 2025-04-06
* CP COUNT: (31)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:33.713383  START: 09:28:17.849785  END: 09:28:51.563168 2025-04-06
* SOLUTION FOUND
* SAVE PR GRAPH xx-mith-te3-00060532-base-pr-002.dot
* REASONING
* PRF # D5: 1 # E7: 7 => SOL
* STA # D5: 1 + E7: 7
* CNT   1 HDP CHAINS / 151 HYP OPENED

Header Info

rating: 12922; r2: 262466; index: 60532

Solution

position: 123456789456789132789231564271593648568124397934867251345972816617348925892615473 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # G9: 7,8 => UNS
* INC # G9: 4,9 => UNS
* INC # H9: 7,8 => UNS
* INC # H9: 9 => UNS
* INC # D5: 4,8 => UNS
* INC # D5: 1 => UNS
* INC # D6: 4,8 => UNS
* INC # D6: 1 => UNS
* INC # E7: 5,7 => UNS
* INC # E7: 2 => UNS
* INC # B2: 5,9 => UNS
* INC # B2: 1,6 => UNS
* INC # E7: 2,5 => UNS
* INC # E7: 7 => UNS
* INC # E8: 3,4 => UNS
* INC # F9: 3,4 => UNS
* INC # A9: 3,9 => UNS
* INC # A9: 8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 7,8 => UNS
* INC # G9: 4,9 => UNS
* INC # H9: 7,8 => UNS
* INC # H9: 9 => UNS
* INC # D5: 4,8 => UNS
* INC # D5: 1 => UNS
* INC # D6: 4,8 => UNS
* INC # D6: 1 => UNS
* INC # E7: 5,7 => UNS
* INC # E7: 2 => UNS
* INC # B2: 5,9 => UNS
* INC # B2: 1,6 => UNS
* INC # E7: 2,5 => UNS
* INC # E7: 7 => UNS
* INC # E8: 3,4 => UNS
* INC # F9: 3,4 => UNS
* INC # A9: 3,9 => UNS
* INC # A9: 8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 7,8 => UNS
* INC # G9: 4,9 => UNS
* INC # H9: 7,8 => UNS
* INC # H9: 9 => UNS
* INC # D5: 4,8 => UNS
* INC # D5: 1 => UNS
* INC # D6: 4,8 => UNS
* INC # D6: 1 => UNS
* INC # E7: 5,7 => UNS
* INC # E7: 2 => UNS
* INC # B2: 5,9 => UNS
* INC # B2: 1,6 => UNS
* INC # E7: 2,5 => UNS
* INC # E7: 7 => UNS
* INC # E8: 3,4 => UNS
* INC # F9: 3,4 => UNS
* INC # A9: 3,9 => UNS
* INC # A9: 8 => UNS
* INC # G9: 7,8 # H9: 7,8 => UNS
* INC # G9: 7,8 # H9: 9 => UNS
* INC # G9: 7,8 # D5: 4,8 => UNS
* INC # G9: 7,8 # D5: 1 => UNS
* INC # G9: 7,8 # D6: 4,8 => UNS
* INC # G9: 7,8 # D6: 1 => UNS
* INC # G9: 7,8 # F4: 1,5 => UNS
* INC # G9: 7,8 # F4: 3,6,9 => UNS
* INC # G9: 7,8 # D1: 1,5 => UNS
* INC # G9: 7,8 # D1: 4 => UNS
* INC # G9: 7,8 # H7: 1,6 => UNS
* INC # G9: 7,8 # I7: 1,6 => UNS
* INC # G9: 7,8 # G2: 1,6 => UNS
* INC # G9: 7,8 # G4: 1,6 => UNS
* INC # G9: 7,8 # H9: 7,8 => UNS
* INC # G9: 7,8 # H9: 9 => UNS
* INC # G9: 7,8 => UNS
* INC # G9: 4,9 # D5: 4,8 => UNS
* INC # G9: 4,9 # D5: 1 => UNS
* INC # G9: 4,9 # D6: 4,8 => UNS
* INC # G9: 4,9 # D6: 1 => UNS
* INC # G9: 4,9 # E7: 5,7 => UNS
* INC # G9: 4,9 # E7: 2 => UNS
* INC # G9: 4,9 # B2: 5,9 => UNS
* INC # G9: 4,9 # B2: 1,6 => UNS
* INC # G9: 4,9 # E7: 2,5 => UNS
* INC # G9: 4,9 # E7: 7 => UNS
* INC # G9: 4,9 # E8: 3,4 => UNS
* INC # G9: 4,9 # F9: 3,4 => UNS
* INC # G9: 4,9 # I7: 1,6 => UNS
* INC # G9: 4,9 # G8: 1,6 => UNS
* INC # G9: 4,9 # A7: 1,6 => UNS
* INC # G9: 4,9 # A7: 3 => UNS
* INC # G9: 4,9 # H3: 1,6 => UNS
* INC # G9: 4,9 # H5: 1,6 => UNS
* INC # G9: 4,9 # G8: 4,9 => UNS
* INC # G9: 4,9 # G8: 1,6 => UNS
* INC # G9: 4,9 => UNS
* INC # H9: 7,8 # G9: 7,8 => UNS
* INC # H9: 7,8 # G9: 4,9 => UNS
* INC # H9: 7,8 # D5: 4,8 => UNS
* INC # H9: 7,8 # D5: 1 => UNS
* INC # H9: 7,8 # D6: 4,8 => UNS
* INC # H9: 7,8 # D6: 1 => UNS
* INC # H9: 7,8 # E7: 5,7 => UNS
* INC # H9: 7,8 # E7: 2 => UNS
* INC # H9: 7,8 # B2: 5,9 => UNS
* INC # H9: 7,8 # B2: 1,6 => UNS
* INC # H9: 7,8 # E7: 2,5 => UNS
* INC # H9: 7,8 # E7: 7 => UNS
* INC # H9: 7,8 # E8: 3,4 => UNS
* INC # H9: 7,8 # F9: 3,4 => UNS
* INC # H9: 7,8 # G7: 1,6 => UNS
* INC # H9: 7,8 # I7: 1,6 => UNS
* INC # H9: 7,8 # G8: 1,6 => UNS
* INC # H9: 7,8 # A7: 1,6 => UNS
* INC # H9: 7,8 # A7: 3,8 => UNS
* INC # H9: 7,8 # H3: 1,6 => UNS
* INC # H9: 7,8 # H5: 1,6 => UNS
* INC # H9: 7,8 # G9: 7,8 => UNS
* INC # H9: 7,8 # G9: 4,9 => UNS
* INC # H9: 7,8 # A9: 3,9 => UNS
* INC # H9: 7,8 # A9: 8 => UNS
* INC # H9: 7,8 => UNS
* INC # H9: 9 # I1: 1,6 => UNS
* INC # H9: 9 # G2: 1,6 => UNS
* INC # H9: 9 # C3: 1,6 => UNS
* INC # H9: 9 # F3: 1,6 => UNS
* INC # H9: 9 # D5: 4,8 => UNS
* INC # H9: 9 # D5: 1 => UNS
* INC # H9: 9 # D6: 4,8 => UNS
* INC # H9: 9 # D6: 1 => UNS
* INC # H9: 9 # F4: 1,5 => UNS
* INC # H9: 9 # F4: 3,6,9 => UNS
* INC # H9: 9 # D1: 1,5 => UNS
* INC # H9: 9 # D1: 4 => UNS
* INC # H9: 9 # G4: 1,6 => UNS
* INC # H9: 9 # I6: 1,6 => UNS
* INC # H9: 9 # B5: 1,6 => UNS
* INC # H9: 9 # F5: 1,6 => UNS
* INC # H9: 9 # G2: 1,6 => UNS
* INC # H9: 9 # G4: 1,6 => UNS
* INC # H9: 9 # I1: 1,6 => UNS
* INC # H9: 9 # I6: 1,6 => UNS
* INC # H9: 9 => UNS
* INC # D5: 4,8 # G9: 7,8 => UNS
* INC # D5: 4,8 # G9: 4,9 => UNS
* INC # D5: 4,8 # H9: 7,8 => UNS
* INC # D5: 4,8 # H9: 9 => UNS
* INC # D5: 4,8 # D6: 4,8 => UNS
* INC # D5: 4,8 # D6: 1 => UNS
* INC # D5: 4,8 # D6: 4,8 => UNS
* INC # D5: 4,8 # D6: 1 => UNS
* INC # D5: 4,8 # E7: 5,7 => UNS
* INC # D5: 4,8 # E7: 2 => UNS
* INC # D5: 4,8 # B2: 5,9 => UNS
* INC # D5: 4,8 # B2: 1,6 => UNS
* INC # D5: 4,8 # E7: 2,5 => UNS
* INC # D5: 4,8 # E7: 7 => UNS
* INC # D5: 4,8 # E8: 3,4 => UNS
* INC # D5: 4,8 # F9: 3,4 => UNS
* INC # D5: 4,8 # A9: 3,9 => UNS
* INC # D5: 4,8 # A9: 8 => UNS
* INC # D5: 4,8 => UNS
* INC # D5: 1 # E1: 4,5 => UNS
* INC # D5: 1 # F1: 4,5 => UNS
* INC # D5: 1 # G9: 7,8 => UNS
* INC # D5: 1 # G9: 4,9 => UNS
* INC # D5: 1 # H9: 7,8 => UNS
* INC # D5: 1 # H9: 9 => UNS
* INC # D5: 1 # C4: 6,9 => UNS
* INC # D5: 1 # A6: 6,9 => UNS
* INC # D5: 1 # B2: 6,9 => UNS
* INC # D5: 1 # B8: 6,9 => UNS
* INC # D5: 1 # E4: 3,5 => UNS
* INC # D5: 1 # F4: 3,5 => UNS
* INC # D5: 1 # E4: 6,9 => UNS
* INC # D5: 1 # F4: 6,9 => UNS
* INC # D5: 1 # A6: 6,9 => UNS
* INC # D5: 1 # I6: 6,9 => UNS
* INC # D5: 1 # E1: 6,9 => UNS
* INC # D5: 1 # E3: 6,9 => UNS
* INC # D5: 1 # G4: 6,9 => UNS
* INC # D5: 1 # I6: 6,9 => UNS
* INC # D5: 1 # H3: 6,9 => UNS
* INC # D5: 1 # H3: 1 => UNS
* INC # D5: 1 # E7: 5,7 => UNS
* INC # D5: 1 # E7: 2 => UNS
* INC # D5: 1 # B2: 5,9 => UNS
* INC # D5: 1 # B2: 1,6 => UNS
* INC # D5: 1 # E7: 2,5 => UNS
* PRF # D5: 1 # E7: 7 => SOL
* STA # D5: 1 + E7: 7
* CNT 150 HDP CHAINS / 151 HYP OPENED