Analysis of xx-ph-00033342-2012_04-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.6...5......5....5..6..8...4...3.....7.9......89..6......2..1......4..3 initial

Autosolve

position: 9857.....7.6...5......5....5..6..8...4...3.....7.9......89..6......2..1......4..3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E7,D8: 3..:

* DIS # D8: 3 # I8: 4,9 => CTR => I8: 5,7,8
* DIS # D8: 3 + I8: 5,7,8 # E9: 1,7 => CTR => E9: 6,8
* DIS # D8: 3 + I8: 5,7,8 + E9: 6,8 # B7: 1,7 => CTR => B7: 2,3,5
* PRF # E7: 3 # F8: 5,8 => SOL
* STA # E7: 3 + F8: 5,8
* CNT   4 HDP CHAINS /  28 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

98.7.....7.6...5......5....5..6..8...4...3.....7.9......89..6......2..1......4..3 initial
9857.....7.6...5......5....5..6..8...4...3.....7.9......89..6......2..1......4..3 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 3.. / E7 = 3  =>  1 pairs (_) / D8 = 3  =>  3 pairs (_)
A3,C3: 4.. / A3 = 4  =>  2 pairs (_) / C3 = 4  =>  1 pairs (_)
E4,D6: 4.. / E4 = 4  =>  0 pairs (_) / D6 = 4  =>  1 pairs (_)
C3,C8: 4.. / C3 = 4  =>  1 pairs (_) / C8 = 4  =>  2 pairs (_)
D2,D6: 4.. / D2 = 4  =>  0 pairs (_) / D6 = 4  =>  1 pairs (_)
F8,E9: 6.. / F8 = 6  =>  2 pairs (_) / E9 = 6  =>  1 pairs (_)
E1,E9: 6.. / E1 = 6  =>  2 pairs (_) / E9 = 6  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  1 pairs (_) / A6 = 8  =>  0 pairs (_)
I8,H9: 8.. / I8 = 8  =>  1 pairs (_) / H9 = 8  =>  1 pairs (_)
F2,F3: 9.. / F2 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.509578  START: 12:50:36.808706  END: 12:50:43.318284 2020-09-22
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E7,D8: 3.. / E7 = 3 ==>  0 pairs (*) / D8 = 3 ==>  4 pairs (_)
* DURATION: 0:00:21.469751  START: 12:50:43.318961  END: 12:51:04.788712 2020-09-22
* REASONING E7,D8: 3..
* DIS # D8: 3 # I8: 4,9 => CTR => I8: 5,7,8
* DIS # D8: 3 + I8: 5,7,8 # E9: 1,7 => CTR => E9: 6,8
* DIS # D8: 3 + I8: 5,7,8 + E9: 6,8 # B7: 1,7 => CTR => B7: 2,3,5
* PRF # E7: 3 # F8: 5,8 => SOL
* STA # E7: 3 + F8: 5,8
* CNT   4 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

33342;2012_04;GP;21;11.70;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E7,D8: 3..:

* INC # D8: 3 # G8: 4,9 => UNS
* DIS # D8: 3 # I8: 4,9 => CTR => I8: 5,7,8
* INC # D8: 3 + I8: 5,7,8 # G8: 4,9 => UNS
* INC # D8: 3 + I8: 5,7,8 # G8: 7 => UNS
* INC # D8: 3 + I8: 5,7,8 # G8: 4,9 => UNS
* INC # D8: 3 + I8: 5,7,8 # G8: 7 => UNS
* INC # D8: 3 + I8: 5,7,8 # F7: 1,7 => UNS
* DIS # D8: 3 + I8: 5,7,8 # E9: 1,7 => CTR => E9: 6,8
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 # F7: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 # F7: 5 => UNS
* DIS # D8: 3 + I8: 5,7,8 + E9: 6,8 # B7: 1,7 => CTR => B7: 2,3,5
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E4: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E5: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F7: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F7: 5 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E4: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E5: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # G8: 4,9 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # G8: 7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F7: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F7: 5 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E4: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # E5: 1,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F8: 6,8 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 # F8: 5,7 => UNS
* INC # D8: 3 + I8: 5,7,8 + E9: 6,8 + B7: 2,3,5 => UNS
* PRF # E7: 3 # F8: 5,8 => SOL
* STA # E7: 3 + F8: 5,8
* CNT  27 HDP CHAINS /  28 HYP OPENED