Analysis of xx-ph-00001131-L109-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1....6.......8.2....93...4..9.7...3..35......8.....6...7.....95.....21....45..... initial

Autosolve

position: 1....6.......8.2....93...4..9.7...3..35......8.....6...7.....95.....21....45..... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for A7,C7: 2..:

* DIS # C7: 2 # A5: 2,4 => CTR => A5: 6,7
* DIS # C7: 2 + A5: 6,7 # I8: 6,7 => CTR => I8: 3,4
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 # E8: 6,7 => CTR => E8: 3,4,9
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # A3: 5,7 => CTR => A3: 2,6
* PRF # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 # G1: 5,7 => SOL
* STA # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 + G1: 5,7
* CNT   5 HDP CHAINS /  31 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....6.......8.2....93...4..9.7...3..35......8.....6...7.....95.....21....45..... initial
1....6.......8.2....93...4..9.7...3..35......8.....6...7.....95.....21....45..... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C7,B9: 1.. / C7 = 1  =>  4 pairs (_) / B9 = 1  =>  1 pairs (_)
B6,B9: 1.. / B6 = 1  =>  4 pairs (_) / B9 = 1  =>  1 pairs (_)
A7,C7: 2.. / A7 = 2  =>  1 pairs (_) / C7 = 2  =>  5 pairs (_)
H9,I9: 2.. / H9 = 2  =>  0 pairs (_) / I9 = 2  =>  0 pairs (_)
E6,F6: 3.. / E6 = 3  =>  0 pairs (_) / F6 = 3  =>  0 pairs (_)
G7,I8: 4.. / G7 = 4  =>  1 pairs (_) / I8 = 4  =>  1 pairs (_)
G4,H6: 5.. / G4 = 5  =>  3 pairs (_) / H6 = 5  =>  2 pairs (_)
A8,B8: 5.. / A8 = 5  =>  1 pairs (_) / B8 = 5  =>  1 pairs (_)
A5,C6: 7.. / A5 = 7  =>  1 pairs (_) / C6 = 7  =>  1 pairs (_)
A8,A9: 9.. / A8 = 9  =>  2 pairs (_) / A9 = 9  =>  0 pairs (_)
G1,G5: 9.. / G1 = 9  =>  1 pairs (_) / G5 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.703499  START: 12:44:45.797104  END: 12:44:53.500603 2020-11-25
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A7,C7: 2.. / A7 = 2  =>  0 pairs (X) / C7 = 2 ==>  0 pairs (*)
* DURATION: 0:00:26.846329  START: 12:44:53.501396  END: 12:45:20.347725 2020-11-25
* REASONING A7,C7: 2..
* DIS # C7: 2 # A5: 2,4 => CTR => A5: 6,7
* DIS # C7: 2 + A5: 6,7 # I8: 6,7 => CTR => I8: 3,4
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 # E8: 6,7 => CTR => E8: 3,4,9
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # A3: 5,7 => CTR => A3: 2,6
* PRF # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 # G1: 5,7 => SOL
* STA # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 + G1: 5,7
* CNT   5 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1131;L109;elev;21;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,C7: 2..:

* INC # C7: 2 # E4: 1,6 => UNS
* INC # C7: 2 # E4: 2,4,5 => UNS
* INC # C7: 2 # A4: 2,4 => UNS
* DIS # C7: 2 # A5: 2,4 => CTR => A5: 6,7
* INC # C7: 2 + A5: 6,7 # D6: 2,4 => UNS
* INC # C7: 2 + A5: 6,7 # E6: 2,4 => UNS
* INC # C7: 2 + A5: 6,7 # I6: 2,4 => UNS
* INC # C7: 2 + A5: 6,7 # B1: 2,4 => UNS
* INC # C7: 2 + A5: 6,7 # B1: 5,8 => UNS
* INC # C7: 2 + A5: 6,7 # H6: 1,7 => UNS
* INC # C7: 2 + A5: 6,7 # I6: 1,7 => UNS
* INC # C7: 2 + A5: 6,7 # A8: 3,6 => UNS
* INC # C7: 2 + A5: 6,7 # C8: 3,6 => UNS
* INC # C7: 2 + A5: 6,7 # A9: 3,6 => UNS
* INC # C7: 2 + A5: 6,7 # E7: 3,6 => UNS
* INC # C7: 2 + A5: 6,7 # E7: 1,4 => UNS
* INC # C7: 2 + A5: 6,7 # A2: 3,6 => UNS
* INC # C7: 2 + A5: 6,7 # A2: 4,5,7 => UNS
* DIS # C7: 2 + A5: 6,7 # I8: 6,7 => CTR => I8: 3,4
* INC # C7: 2 + A5: 6,7 + I8: 3,4 # H9: 6,7 => UNS
* INC # C7: 2 + A5: 6,7 + I8: 3,4 # I9: 6,7 => UNS
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 # E8: 6,7 => CTR => E8: 3,4,9
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # B1: 5,8 => UNS
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # B1: 2,4 => UNS
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # G1: 5,7 => UNS
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # G1: 3,9 => UNS
* DIS # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 # A3: 5,7 => CTR => A3: 2,6
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 # E3: 5,7 => UNS
* INC # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 # F3: 5,7 => UNS
* PRF # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 # G1: 5,7 => SOL
* STA # C7: 2 + A5: 6,7 + I8: 3,4 + E8: 3,4,9 + A3: 2,6 + G1: 5,7
* CNT  30 HDP CHAINS /  31 HYP OPENED