Analysis of xx-ph-00840578-13_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2.3...4.5.6......3......3....4567...43.....8.9.....7.4.59.9.6.754.. initial

Autosolve

position: ...4...51.....2.34..4.5.6......3......3....4567...43.....8.9.....7.4.59.9.6.754.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C6,D6: 5..:

* DIS # C6: 5 # E7: 1,2 => CTR => E7: 6
* DIS # C6: 5 + E7: 6 # H7: 1,2 => CTR => H7: 7
* DIS # C6: 5 + E7: 6 + H7: 7 # I3: 2,8 => CTR => I3: 7,9
* DIS # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 # I4: 2,8 => CTR => I4: 7,9
* PRF # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 # H9: 1 => SOL
* STA # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 + H9: 1
* CNT   5 HDP CHAINS /  20 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...4.5.6......3......3....4567...43.....8.9.....7.4.59.9.6.754.. initial
...4...51.....2.34..4.5.6......3......3....4567...43.....8.9.....7.4.59.9.6.754.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A4,B4: 4.. / A4 = 4  =>  0 pairs (_) / B4 = 4  =>  0 pairs (_)
A7,B7: 4.. / A7 = 4  =>  0 pairs (_) / B7 = 4  =>  0 pairs (_)
A4,A7: 4.. / A4 = 4  =>  0 pairs (_) / A7 = 4  =>  0 pairs (_)
B4,B7: 4.. / B4 = 4  =>  0 pairs (_) / B7 = 4  =>  0 pairs (_)
D4,D6: 5.. / D4 = 5  =>  4 pairs (_) / D6 = 5  =>  0 pairs (_)
C6,D6: 5.. / C6 = 5  =>  4 pairs (_) / D6 = 5  =>  0 pairs (_)
B1,B2: 6.. / B1 = 6  =>  1 pairs (_) / B2 = 6  =>  2 pairs (_)
H4,I4: 6.. / H4 = 6  =>  0 pairs (_) / I4 = 6  =>  1 pairs (_)
H4,H7: 6.. / H4 = 6  =>  0 pairs (_) / H7 = 6  =>  1 pairs (_)
* DURATION: 0:00:06.114948  START: 06:12:26.661851  END: 06:12:32.776799 2021-01-01
* CP COUNT: (9)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C6,D6: 5.. / C6 = 5 ==>  0 pairs (*) / D6 = 5  =>  0 pairs (X)
* DURATION: 0:00:18.690581  START: 06:12:32.777402  END: 06:12:51.467983 2021-01-01
* REASONING C6,D6: 5..
* DIS # C6: 5 # E7: 1,2 => CTR => E7: 6
* DIS # C6: 5 + E7: 6 # H7: 1,2 => CTR => H7: 7
* DIS # C6: 5 + E7: 6 + H7: 7 # I3: 2,8 => CTR => I3: 7,9
* DIS # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 # I4: 2,8 => CTR => I4: 7,9
* PRF # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 # H9: 1 => SOL
* STA # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 + H9: 1
* CNT   5 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

840578;13_01;DOB;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C6,D6: 5..:

* INC # C6: 5 # A8: 1,2 => UNS
* INC # C6: 5 # B8: 1,2 => UNS
* INC # C6: 5 # B9: 1,2 => UNS
* DIS # C6: 5 # E7: 1,2 => CTR => E7: 6
* INC # C6: 5 + E7: 6 # G7: 1,2 => UNS
* DIS # C6: 5 + E7: 6 # H7: 1,2 => CTR => H7: 7
* INC # C6: 5 + E7: 6 + H7: 7 # C4: 1,2 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # C4: 8,9 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # A8: 1,2 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # B8: 1,2 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # B9: 1,2 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # C4: 1,2 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # C4: 8,9 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # H9: 2,8 => UNS
* INC # C6: 5 + E7: 6 + H7: 7 # H9: 1 => UNS
* DIS # C6: 5 + E7: 6 + H7: 7 # I3: 2,8 => CTR => I3: 7,9
* DIS # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 # I4: 2,8 => CTR => I4: 7,9
* INC # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 # H9: 2,8 => UNS
* PRF # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 # H9: 1 => SOL
* STA # C6: 5 + E7: 6 + H7: 7 + I3: 7,9 + I4: 7,9 + H9: 1
* CNT  19 HDP CHAINS /  20 HYP OPENED