Analysis of xx-ph-00034976-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.6...5......5....4......3..9.8..6......2...1.6.5..7......3...4.....1.2. initial

Autosolve

position: 9857.....7.6...5......5....4......3..9.8..6..6...2...1.6.5..7......3...4.....1.2. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.199023

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for I7,G9: 3..:

* DIS # G9: 3 # H7: 8,9 => CTR => H7: 1
* DIS # G9: 3 + H7: 1 # F1: 4,6 => CTR => F1: 2,3
* DIS # G9: 3 + H7: 1 + F1: 2,3 # F3: 2,3 => CTR => F3: 4,6,8,9
* PRF # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 # I1: 6 => SOL
* STA # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 + I1: 6
* CNT   4 HDP CHAINS /  49 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....4......3..9.8..6......2...1.6.5..7......3...4.....1.2. initial
9857.....7.6...5......5....4......3..9.8..6..6...2...1.6.5..7......3...4.....1.2. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
H8: 5,6
I9: 5,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  4 pairs (_) / G8 = 1  =>  3 pairs (_)
I7,G9: 3.. / I7 = 3  =>  4 pairs (_) / G9 = 3  =>  4 pairs (_)
H8,I9: 5.. / H8 = 5  =>  3 pairs (_) / I9 = 5  =>  4 pairs (_)
H8,I9: 6.. / H8 = 6  =>  4 pairs (_) / I9 = 6  =>  3 pairs (_)
H3,I3: 7.. / H3 = 7  =>  3 pairs (_) / I3 = 7  =>  3 pairs (_)
F8,E9: 7.. / F8 = 7  =>  2 pairs (_) / E9 = 7  =>  3 pairs (_)
C4,C6: 8.. / C4 = 8  =>  4 pairs (_) / C6 = 8  =>  3 pairs (_)
* DURATION: 0:00:06.437378  START: 09:46:15.176949  END: 09:46:21.614327 2020-12-15
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I7,G9: 3.. / I7 = 3 ==>  4 pairs (_) / G9 = 3 ==>  0 pairs (*)
* DURATION: 0:00:36.009830  START: 09:46:22.588497  END: 09:46:58.598327 2020-12-15
* REASONING I7,G9: 3..
* DIS # G9: 3 # H7: 8,9 => CTR => H7: 1
* DIS # G9: 3 + H7: 1 # F1: 4,6 => CTR => F1: 2,3
* DIS # G9: 3 + H7: 1 + F1: 2,3 # F3: 2,3 => CTR => F3: 4,6,8,9
* PRF # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 # I1: 6 => SOL
* STA # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 + I1: 6
* CNT   4 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

34976;12_05;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I7,G9: 3..:

* INC # I7: 3 # I3: 2,6 => UNS
* INC # I7: 3 # I3: 7,8,9 => UNS
* INC # I7: 3 # F1: 2,6 => UNS
* INC # I7: 3 # F1: 3,4 => UNS
* INC # I7: 3 # H7: 8,9 => UNS
* INC # I7: 3 # G8: 8,9 => UNS
* INC # I7: 3 # E9: 8,9 => UNS
* INC # I7: 3 # E9: 4,6,7 => UNS
* INC # I7: 3 # G3: 8,9 => UNS
* INC # I7: 3 # G4: 8,9 => UNS
* INC # I7: 3 # G6: 8,9 => UNS
* INC # I7: 3 => UNS
* INC # G9: 3 # A8: 5,8 => UNS
* INC # G9: 3 # A8: 1,2 => UNS
* DIS # G9: 3 # H7: 8,9 => CTR => H7: 1
* INC # G9: 3 + H7: 1 # E7: 8,9 => UNS
* INC # G9: 3 + H7: 1 # F7: 8,9 => UNS
* INC # G9: 3 + H7: 1 # I2: 8,9 => UNS
* INC # G9: 3 + H7: 1 # I3: 8,9 => UNS
* INC # G9: 3 + H7: 1 # I4: 8,9 => UNS
* INC # G9: 3 + H7: 1 # H3: 4,6 => UNS
* INC # G9: 3 + H7: 1 # H3: 7,8,9 => UNS
* INC # G9: 3 + H7: 1 # E1: 4,6 => UNS
* DIS # G9: 3 + H7: 1 # F1: 4,6 => CTR => F1: 2,3
* INC # G9: 3 + H7: 1 + F1: 2,3 # E1: 4,6 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # E1: 1 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # H3: 4,6 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # H3: 7,8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # E1: 4,6 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # E1: 1 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # A8: 5,8 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # A8: 1,2 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # E7: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # F7: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # I2: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # I3: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # I4: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # F8: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # F8: 2,6,7 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # G3: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # G4: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # G6: 8,9 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # D2: 2,3 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # F2: 2,3 => UNS
* INC # G9: 3 + H7: 1 + F1: 2,3 # D3: 2,3 => UNS
* DIS # G9: 3 + H7: 1 + F1: 2,3 # F3: 2,3 => CTR => F3: 4,6,8,9
* INC # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 # I1: 2,3 => UNS
* PRF # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 # I1: 6 => SOL
* STA # G9: 3 + H7: 1 + F1: 2,3 + F3: 4,6,8,9 + I1: 6
* CNT  48 HDP CHAINS /  49 HYP OPENED