Analysis of xx-ph-00001453-H47-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.4....9..6.8....7......5..4.9....18....7.....5.6.....1....94......1..3...39.2.. initial

Autosolve

position: .2.4....9..6.8....7......5..4.9....18....7.....5.6.....1....94......1..3...39.21. 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 A6,D6: 1..:

* DIS # D6: 1 # C3: 3,8 => CTR => C3: 4,9
* PRF # D6: 1 + C3: 4,9 # D7: 2,6 => SOL
* STA # D6: 1 + C3: 4,9 + D7: 2,6
* CNT   2 HDP CHAINS /  14 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

.2.4....9..6.8....7......5..4.9....18....7.....5.6.....1....94......1..3...39.2.. initial
.2.4....9..6.8....7......5..4.9....18....7.....5.6.....1....94......1..3...39.21. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C5,A6: 1.. / C5 = 1  =>  3 pairs (_) / A6 = 1  =>  2 pairs (_)
A6,D6: 1.. / A6 = 1  =>  2 pairs (_) / D6 = 1  =>  3 pairs (_)
A7,C7: 3.. / A7 = 3  =>  2 pairs (_) / C7 = 3  =>  2 pairs (_)
A2,C3: 4.. / A2 = 4  =>  2 pairs (_) / C3 = 4  =>  1 pairs (_)
E5,F6: 4.. / E5 = 4  =>  3 pairs (_) / F6 = 4  =>  0 pairs (_)
E8,F9: 4.. / E8 = 4  =>  0 pairs (_) / F9 = 4  =>  3 pairs (_)
E5,E8: 4.. / E5 = 4  =>  3 pairs (_) / E8 = 4  =>  0 pairs (_)
F6,F9: 4.. / F6 = 4  =>  0 pairs (_) / F9 = 4  =>  3 pairs (_)
A4,B5: 6.. / A4 = 6  =>  2 pairs (_) / B5 = 6  =>  1 pairs (_)
E1,D2: 7.. / E1 = 7  =>  1 pairs (_) / D2 = 7  =>  2 pairs (_)
C4,B6: 7.. / C4 = 7  =>  2 pairs (_) / B6 = 7  =>  1 pairs (_)
F2,F3: 9.. / F2 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
H5,H6: 9.. / H5 = 9  =>  1 pairs (_) / H6 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.817853  START: 12:09:10.316684  END: 12:09:19.134537 2020-11-28
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A6,D6: 1.. / A6 = 1  =>  0 pairs (X) / D6 = 1 ==>  0 pairs (*)
* DURATION: 0:00:17.727105  START: 12:09:19.135166  END: 12:09:36.862271 2020-11-28
* REASONING A6,D6: 1..
* DIS # D6: 1 # C3: 3,8 => CTR => C3: 4,9
* PRF # D6: 1 + C3: 4,9 # D7: 2,6 => SOL
* STA # D6: 1 + C3: 4,9 + D7: 2,6
* CNT   2 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1453;H47;elev;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A6,D6: 1..:

* INC # D6: 1 # B3: 3,8 => UNS
* DIS # D6: 1 # C3: 3,8 => CTR => C3: 4,9
* INC # D6: 1 + C3: 4,9 # B3: 3,8 => UNS
* INC # D6: 1 + C3: 4,9 # B3: 9 => UNS
* INC # D6: 1 + C3: 4,9 # G1: 3,8 => UNS
* INC # D6: 1 + C3: 4,9 # H1: 3,8 => UNS
* INC # D6: 1 + C3: 4,9 # C7: 3,8 => UNS
* INC # D6: 1 + C3: 4,9 # C7: 2,7 => UNS
* INC # D6: 1 + C3: 4,9 # F3: 2,6 => UNS
* INC # D6: 1 + C3: 4,9 # F3: 3,9 => UNS
* INC # D6: 1 + C3: 4,9 # I3: 2,6 => UNS
* INC # D6: 1 + C3: 4,9 # I3: 4,8 => UNS
* PRF # D6: 1 + C3: 4,9 # D7: 2,6 => SOL
* STA # D6: 1 + C3: 4,9 + D7: 2,6
* CNT  13 HDP CHAINS /  14 HYP OPENED