Analysis of xx-ph-00011140-22ky5-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9876.....65....8............7..4..3..2...1.....97..5....85..6......2...4.....3.1. initial

Autosolve

position: 9876.....65....8............7..4..3..2...1.....97..5....85..6......2...4.....3.1. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.151259

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000019

List of important HDP chains detected for F7,D9: 4..:

* DIS # F7: 4 # D4: 8,9 => CTR => D4: 2
* PRF # F7: 4 + D4: 2 # F4: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 6,8
* CNT   2 HDP CHAINS /  23 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

9876.....65....8............7..4..3..2...1.....97..5....85..6......2...4.....3.1. initial
9876.....65....8............7..4..3..2...1.....97..5....85..6......2...4.....3.1. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
H8: 5,8
I9: 5,8

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* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 1.. / E7 = 1  =>  4 pairs (_) / D8 = 1  =>  3 pairs (_)
I7,G8: 3.. / I7 = 3  =>  3 pairs (_) / G8 = 3  =>  2 pairs (_)
F7,D9: 4.. / F7 = 4  =>  4 pairs (_) / D9 = 4  =>  4 pairs (_)
F4,E5: 5.. / F4 = 5  =>  5 pairs (_) / E5 = 5  =>  3 pairs (_)
H8,I9: 5.. / H8 = 5  =>  2 pairs (_) / I9 = 5  =>  1 pairs (_)
H3,I3: 6.. / H3 = 6  =>  2 pairs (_) / I3 = 6  =>  2 pairs (_)
F8,E9: 6.. / F8 = 6  =>  3 pairs (_) / E9 = 6  =>  4 pairs (_)
H8,I9: 8.. / H8 = 8  =>  1 pairs (_) / I9 = 8  =>  2 pairs (_)
* DURATION: 0:00:04.758001  START: 14:10:50.186933  END: 14:10:54.944934 2020-12-01
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,E5: 5.. / F4 = 5 ==>  5 pairs (_) / E5 = 5 ==>  3 pairs (_)
F7,D9: 4.. / F7 = 4 ==>  0 pairs (*) / D9 = 4  =>  0 pairs (X)
* DURATION: 0:00:25.051525  START: 14:10:55.602322  END: 14:11:20.653847 2020-12-01
* REASONING F7,D9: 4..
* DIS # F7: 4 # D4: 8,9 => CTR => D4: 2
* PRF # F7: 4 + D4: 2 # F4: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 6,8
* CNT   2 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

11140;22ky5;GP;22;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E5: 5..:

* INC # F4: 5 # D2: 2,4 => UNS
* INC # F4: 5 # F2: 2,4 => UNS
* INC # F4: 5 # D3: 2,4 => UNS
* INC # F4: 5 # F3: 2,4 => UNS
* INC # F4: 5 # G1: 2,4 => UNS
* INC # F4: 5 # H1: 2,4 => UNS
* INC # F4: 5 # A6: 1,8 => UNS
* INC # F4: 5 # A6: 3,4 => UNS
* INC # F4: 5 # I4: 1,8 => UNS
* INC # F4: 5 # I4: 2,6,9 => UNS
* INC # F4: 5 # B6: 1,6 => UNS
* INC # F4: 5 # B6: 3,4 => UNS
* INC # F4: 5 # I4: 1,6 => UNS
* INC # F4: 5 # I4: 2,8,9 => UNS
* INC # F4: 5 # C8: 1,6 => UNS
* INC # F4: 5 # C8: 3,5 => UNS
* INC # F4: 5 => UNS
* INC # E5: 5 # D2: 1,3 => UNS
* INC # E5: 5 # E2: 1,3 => UNS
* INC # E5: 5 # D3: 1,3 => UNS
* INC # E5: 5 # E3: 1,3 => UNS
* INC # E5: 5 # G1: 1,3 => UNS
* INC # E5: 5 # I1: 1,3 => UNS
* INC # E5: 5 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for F7,D9: 4..:

* INC # F7: 4 # F3: 2,5 => UNS
* INC # F7: 4 # F3: 7,8,9 => UNS
* INC # F7: 4 # H1: 2,5 => UNS
* INC # F7: 4 # I1: 2,5 => UNS
* INC # F7: 4 # F4: 2,5 => UNS
* INC # F7: 4 # F4: 6,8,9 => UNS
* INC # F7: 4 # D8: 8,9 => UNS
* INC # F7: 4 # F8: 8,9 => UNS
* INC # F7: 4 # E9: 8,9 => UNS
* INC # F7: 4 # D3: 8,9 => UNS
* DIS # F7: 4 # D4: 8,9 => CTR => D4: 2
* INC # F7: 4 + D4: 2 # D5: 8,9 => UNS
* INC # F7: 4 + D4: 2 # D8: 8,9 => UNS
* INC # F7: 4 + D4: 2 # F8: 8,9 => UNS
* INC # F7: 4 + D4: 2 # E9: 8,9 => UNS
* INC # F7: 4 + D4: 2 # D3: 8,9 => UNS
* INC # F7: 4 + D4: 2 # D5: 8,9 => UNS
* INC # F7: 4 + D4: 2 # F3: 2,5 => UNS
* INC # F7: 4 + D4: 2 # F3: 7,8,9 => UNS
* INC # F7: 4 + D4: 2 # H1: 2,5 => UNS
* INC # F7: 4 + D4: 2 # I1: 2,5 => UNS
* PRF # F7: 4 + D4: 2 # F4: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 6,8
* CNT  22 HDP CHAINS /  23 HYP OPENED