Analysis of xx-mith-te3-00052579-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ...45.7.9..71.92....9.72..1....159.757.....1491.7.4....92541....65......8.......5 initial

Autosolve

position: ...45.7.9..71.92....9.72..1....159.757.....1491.7.452..92541....65.....28.......5 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: 0:00:21.075626

The following important HDP chains were detected:

* DIS # D9: 6 # H3: 3,8 => CTR => H3: 4,5,6
* PRF # D9: 6 + H3: 4,5,6 # G9: 3 => SOL
* STA # D9: 6 + H3: 4,5,6 + G9: 3
* CNT   2 HDP CHAINS /  73 HYP OPENED

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

Details

Positions

...45.7.9..71.92....9.72..1....159.757.....1491.7.4....92541....65......8.......5 initial
...45.7.9..71.92....9.72..1....159.757.....1491.7.452..92541....65.....28.......5 autosolve
123456789457189236689372451234815967576293814918764523392541678765938142841627395 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (7)
D5: 2,9
E5: 2,9
A7: 3,7
B9: 3,4
F9: 6,7
G8: 1,4
H9: 7,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,C1: 1.. / A1 = 1  => 10 pairs (_) / C1 = 1  =>  9 pairs (_)
A8,C9: 1.. / A8 = 1  =>  9 pairs (_) / C9 = 1  => 10 pairs (_)
G8,G9: 1.. / G8 = 1  => 10 pairs (_) / G9 = 1  =>  9 pairs (_)
A8,G8: 1.. / A8 = 1  =>  9 pairs (_) / G8 = 1  => 10 pairs (_)
C9,G9: 1.. / C9 = 1  => 10 pairs (_) / G9 = 1  =>  9 pairs (_)
A1,A8: 1.. / A1 = 1  => 10 pairs (_) / A8 = 1  =>  9 pairs (_)
C1,C9: 1.. / C1 = 1  =>  9 pairs (_) / C9 = 1  => 10 pairs (_)
A1,B1: 2.. / A1 = 2  => 11 pairs (_) / B1 = 2  =>  7 pairs (_)
A4,B4: 2.. / A4 = 2  =>  7 pairs (_) / B4 = 2  => 11 pairs (_)
D5,E5: 2.. / D5 = 2  =>  7 pairs (_) / E5 = 2  =>  7 pairs (_)
D9,E9: 2.. / D9 = 2  =>  7 pairs (_) / E9 = 2  =>  7 pairs (_)
A1,A4: 2.. / A1 = 2  => 11 pairs (_) / A4 = 2  =>  7 pairs (_)
B1,B4: 2.. / B1 = 2  =>  7 pairs (_) / B4 = 2  => 11 pairs (_)
D5,D9: 2.. / D5 = 2  =>  7 pairs (_) / D9 = 2  =>  7 pairs (_)
E5,E9: 2.. / E5 = 2  =>  7 pairs (_) / E9 = 2  =>  7 pairs (_)
C4,C9: 4.. / C4 = 4  =>  8 pairs (_) / C9 = 4  => 10 pairs (_)
B2,B3: 5.. / B2 = 5  =>  7 pairs (_) / B3 = 5  =>  8 pairs (_)
H2,H3: 5.. / H2 = 5  =>  8 pairs (_) / H3 = 5  =>  7 pairs (_)
B2,H2: 5.. / B2 = 5  =>  7 pairs (_) / H2 = 5  =>  8 pairs (_)
B3,H3: 5.. / B3 = 5  =>  8 pairs (_) / H3 = 5  =>  7 pairs (_)
A7,A8: 7.. / A7 = 7  => 11 pairs (_) / A8 = 7  => 11 pairs (_)
F8,F9: 7.. / F8 = 7  => 14 pairs (_) / F9 = 7  =>  9 pairs (_)
A7,H7: 7.. / A7 = 7  => 11 pairs (_) / H7 = 7  => 11 pairs (_)
F9,H9: 7.. / F9 = 7  =>  9 pairs (_) / H9 = 7  => 14 pairs (_)
D5,E5: 9.. / D5 = 9  =>  7 pairs (_) / E5 = 9  =>  7 pairs (_)
H8,H9: 9.. / H8 = 9  => 14 pairs (_) / H9 = 9  =>  9 pairs (_)
* DURATION: 0:00:08.639354  START: 15:45:39.667078  END: 15:45:48.306432 2025-04-04
* CP COUNT: (26)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:20.792641  START: 15:45:55.684593  END: 15:46:16.477234 2025-04-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-mith-te3-00052579-base-pr-002.dot
* REASONING
* DIS # D9: 6 # H3: 3,8 => CTR => H3: 4,5,6
* PRF # D9: 6 + H3: 4,5,6 # G9: 3 => SOL
* STA # D9: 6 + H3: 4,5,6 + G9: 3
* CNT   2 HDP CHAINS /  73 HYP OPENED

Header Info

rating: 10729; r2: 226627; index: 52579

Solution

position: 123456789457189236689372451234815967576293814918764523392541678765938142841627395 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 # D9: 2,9 => UNS
* INC # D9: 6 => UNS
* INC # E9: 2,9 => UNS
* INC # E9: 6 => UNS
* INC # H7: 3,7 => UNS
* INC # H7: 6,8 => UNS
* INC # C9: 3,4 => UNS
* INC # C9: 1 => UNS
* INC # G9: 3,4 => UNS
* INC # G9: 1 => UNS
* INC # B2: 3,4 => UNS
* INC # B3: 3,4 => UNS
* INC # B4: 3,4 => UNS
* INC # G9: 1,4 => UNS
* INC # G9: 3 => UNS
* INC # A8: 1,4 => UNS
* INC # A8: 7 => UNS
* INC # H8: 7,9 => UNS
* INC # H8: 4 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D9: 2,9 => UNS
* INC # D9: 6 => UNS
* INC # E9: 2,9 => UNS
* INC # E9: 6 => UNS
* INC # H7: 3,7 => UNS
* INC # H7: 6,8 => UNS
* INC # C9: 3,4 => UNS
* INC # C9: 1 => UNS
* INC # G9: 3,4 => UNS
* INC # G9: 1 => UNS
* INC # B2: 3,4 => UNS
* INC # B3: 3,4 => UNS
* INC # B4: 3,4 => UNS
* INC # G9: 1,4 => UNS
* INC # G9: 3 => UNS
* INC # A8: 1,4 => UNS
* INC # A8: 7 => UNS
* INC # H8: 7,9 => UNS
* INC # H8: 4 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D9: 2,9 => UNS
* INC # D9: 6 => UNS
* INC # E9: 2,9 => UNS
* INC # E9: 6 => UNS
* INC # H7: 3,7 => UNS
* INC # H7: 6,8 => UNS
* INC # C9: 3,4 => UNS
* INC # C9: 1 => UNS
* INC # G9: 3,4 => UNS
* INC # G9: 1 => UNS
* INC # B2: 3,4 => UNS
* INC # B3: 3,4 => UNS
* INC # B4: 3,4 => UNS
* INC # G9: 1,4 => UNS
* INC # G9: 3 => UNS
* INC # A8: 1,4 => UNS
* INC # A8: 7 => UNS
* INC # H8: 7,9 => UNS
* INC # H8: 4 => UNS
* INC # D9: 2,9 # E9: 2,9 => UNS
* INC # D9: 2,9 # E9: 6 => UNS
* INC # D9: 2,9 # H7: 3,7 => UNS
* INC # D9: 2,9 # H7: 6,8 => UNS
* INC # D9: 2,9 # C9: 3,4 => UNS
* INC # D9: 2,9 # C9: 1 => UNS
* INC # D9: 2,9 # G9: 3,4 => UNS
* INC # D9: 2,9 # G9: 1 => UNS
* INC # D9: 2,9 # B2: 3,4 => UNS
* INC # D9: 2,9 # B3: 3,4 => UNS
* INC # D9: 2,9 # B4: 3,4 => UNS
* INC # D9: 2,9 # E8: 3,8 => UNS
* INC # D9: 2,9 # F8: 3,8 => UNS
* INC # D9: 2,9 # D3: 3,8 => UNS
* INC # D9: 2,9 # D4: 3,8 => UNS
* INC # D9: 2,9 # E9: 2,9 => UNS
* INC # D9: 2,9 # E9: 6 => UNS
* INC # D9: 2,9 # G9: 1,4 => UNS
* INC # D9: 2,9 # G9: 3 => UNS
* INC # D9: 2,9 # A8: 1,4 => UNS
* INC # D9: 2,9 # A8: 7 => UNS
* INC # D9: 2,9 # H8: 7,9 => UNS
* INC # D9: 2,9 # H8: 4 => UNS
* INC # D9: 2,9 => UNS
* INC # D9: 6 # F1: 3,8 => UNS
* INC # D9: 6 # E2: 3,8 => UNS
* INC # D9: 6 # B3: 3,8 => UNS
* INC # D9: 6 # G3: 3,8 => UNS
* DIS # D9: 6 # H3: 3,8 => CTR => H3: 4,5,6
* INC # D9: 6 + H3: 4,5,6 # F1: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # E2: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # B3: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # G3: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # F5: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # E6: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # B4: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # C4: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # H4: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # H7: 3,7 => UNS
* INC # D9: 6 + H3: 4,5,6 # H7: 6,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # C9: 3,4 => UNS
* INC # D9: 6 + H3: 4,5,6 # C9: 1 => UNS
* INC # D9: 6 + H3: 4,5,6 # G9: 3,4 => UNS
* INC # D9: 6 + H3: 4,5,6 # G9: 1 => UNS
* INC # D9: 6 + H3: 4,5,6 # B2: 3,4 => UNS
* INC # D9: 6 + H3: 4,5,6 # B3: 3,4 => UNS
* INC # D9: 6 + H3: 4,5,6 # B4: 3,4 => UNS
* INC # D9: 6 + H3: 4,5,6 # E2: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # E6: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # F1: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # F5: 3,8 => UNS
* INC # D9: 6 + H3: 4,5,6 # G9: 1,4 => UNS
* PRF # D9: 6 + H3: 4,5,6 # G9: 3 => SOL
* STA # D9: 6 + H3: 4,5,6 + G9: 3
* CNT  72 HDP CHAINS /  73 HYP OPENED