Analysis of xx-ph-01256034-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7....59....4....7.6....8....5..9......73...2.3......1...21..7........4.2 initial

Autosolve

position: 98.76....7....59....4....7.6....8....5..9......73...2.3......1...21..7........4.2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for C1,A3: 5..:

* DIS # A3: 5 # C2: 1,3 => CTR => C2: 6
* DIS # A3: 5 + C2: 6 # G1: 1,3 => CTR => G1: 2,5
* PRF # A3: 5 + C2: 6 + G1: 2,5 # C5: 1,3 => SOL
* STA # A3: 5 + C2: 6 + G1: 2,5 + C5: 1,3
* CNT   3 HDP CHAINS /   9 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

98.76....7....59....4....7.6....8....5..9......73...2.3......1...21..7........4.2 initial
98.76....7....59....4....7.6....8....5..9......73...2.3......1...21..7........4.2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G3: 2.. / G1 = 2  =>  0 pairs (_) / G3 = 2  =>  4 pairs (_)
B4,A5: 2.. / B4 = 2  =>  4 pairs (_) / A5 = 2  =>  2 pairs (_)
F1,G1: 2.. / F1 = 2  =>  4 pairs (_) / G1 = 2  =>  0 pairs (_)
A3,A5: 2.. / A3 = 2  =>  4 pairs (_) / A5 = 2  =>  2 pairs (_)
C1,A3: 5.. / C1 = 5  =>  2 pairs (_) / A3 = 5  =>  4 pairs (_)
E4,F5: 7.. / E4 = 7  =>  0 pairs (_) / F5 = 7  =>  0 pairs (_)
I4,I5: 7.. / I4 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
B7,B9: 7.. / B7 = 7  =>  0 pairs (_) / B9 = 7  =>  0 pairs (_)
E4,I4: 7.. / E4 = 7  =>  0 pairs (_) / I4 = 7  =>  0 pairs (_)
F5,I5: 7.. / F5 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  0 pairs (_) / F3 = 9  =>  1 pairs (_)
B6,I6: 9.. / B6 = 9  =>  2 pairs (_) / I6 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.204430  START: 16:18:20.418220  END: 16:18:28.622650 2020-10-23
* CP COUNT: (12)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,A3: 5.. / C1 = 5  =>  0 pairs (X) / A3 = 5 ==>  0 pairs (*)
* DURATION: 0:00:14.191326  START: 16:18:28.623604  END: 16:18:42.814930 2020-10-23
* REASONING C1,A3: 5..
* DIS # A3: 5 # C2: 1,3 => CTR => C2: 6
* DIS # A3: 5 + C2: 6 # G1: 1,3 => CTR => G1: 2,5
* PRF # A3: 5 + C2: 6 + G1: 2,5 # C5: 1,3 => SOL
* STA # A3: 5 + C2: 6 + G1: 2,5 + C5: 1,3
* CNT   3 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1256034;13_12;GP;23;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,A3: 5..:

* INC # A3: 5 # B2: 1,3 => UNS
* DIS # A3: 5 # C2: 1,3 => CTR => C2: 6
* INC # A3: 5 + C2: 6 # B3: 1,3 => UNS
* INC # A3: 5 + C2: 6 # F1: 1,3 => UNS
* DIS # A3: 5 + C2: 6 # G1: 1,3 => CTR => G1: 2,5
* INC # A3: 5 + C2: 6 + G1: 2,5 # I1: 1,3 => UNS
* INC # A3: 5 + C2: 6 + G1: 2,5 # C4: 1,3 => UNS
* PRF # A3: 5 + C2: 6 + G1: 2,5 # C5: 1,3 => SOL
* STA # A3: 5 + C2: 6 + G1: 2,5 + C5: 1,3
* CNT   8 HDP CHAINS /   9 HYP OPENED