Analysis of xx-ph-00034346-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.......6.5.........69..4......3..2......1..89..7...3.....2...58..6......1...4 initial

Autosolve

position: 98.7.......6.59.......869..4......3..2......1..89..7...3.....2...58..6......1...4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C5,H5: 9..:

* DIS # C5: 9 # F4: 1,7 => CTR => F4: 2,5,8
* DIS # C5: 9 + F4: 2,5,8 # C3: 1,7 => CTR => C3: 2,3,4
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 # C7: 1,7 => CTR => C7: 4
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # A9: 2,7 => CTR => A9: 6,8
* PRF # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # E8: 3,7 => SOL
* STA # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 + E8: 3,7
* CNT   5 HDP CHAINS /  15 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.......6.5.........69..4......3..2......1..89..7...3.....2...58..6......1...4 initial
98.7.......6.59.......869..4......3..2......1..89..7...3.....2...58..6......1...4 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G7,H8: 1.. / G7 = 1  =>  1 pairs (_) / H8 = 1  =>  3 pairs (_)
I8,G9: 3.. / I8 = 3  =>  2 pairs (_) / G9 = 3  =>  1 pairs (_)
C7,B8: 4.. / C7 = 4  =>  2 pairs (_) / B8 = 4  =>  1 pairs (_)
A3,B3: 5.. / A3 = 5  =>  0 pairs (_) / B3 = 5  =>  1 pairs (_)
H1,I1: 6.. / H1 = 6  =>  1 pairs (_) / I1 = 6  =>  1 pairs (_)
F4,F5: 8.. / F4 = 8  =>  1 pairs (_) / F5 = 8  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  1 pairs (_) / A9 = 8  =>  1 pairs (_)
I4,H5: 9.. / I4 = 9  =>  3 pairs (_) / H5 = 9  =>  2 pairs (_)
E7,E8: 9.. / E7 = 9  =>  0 pairs (_) / E8 = 9  =>  2 pairs (_)
C5,H5: 9.. / C5 = 9  =>  3 pairs (_) / H5 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.784403  START: 09:28:28.382167  END: 09:28:34.166570 2020-12-14
* CP COUNT: (10)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,H5: 9.. / C5 = 9 ==>  0 pairs (*) / H5 = 9  =>  0 pairs (X)
* DURATION: 0:00:14.675249  START: 09:28:34.167182  END: 09:28:48.842431 2020-12-14
* REASONING C5,H5: 9..
* DIS # C5: 9 # F4: 1,7 => CTR => F4: 2,5,8
* DIS # C5: 9 + F4: 2,5,8 # C3: 1,7 => CTR => C3: 2,3,4
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 # C7: 1,7 => CTR => C7: 4
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # A9: 2,7 => CTR => A9: 6,8
* PRF # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # E8: 3,7 => SOL
* STA # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 + E8: 3,7
* CNT   5 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

34346;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 C5,H5: 9..:

* INC # C5: 9 # B4: 1,7 => UNS
* INC # C5: 9 # B4: 5,6 => UNS
* DIS # C5: 9 # F4: 1,7 => CTR => F4: 2,5,8
* DIS # C5: 9 + F4: 2,5,8 # C3: 1,7 => CTR => C3: 2,3,4
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 # C7: 1,7 => CTR => C7: 4
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # B4: 1,7 => UNS
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # B4: 5,6 => UNS
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # A8: 2,7 => UNS
* DIS # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 # A9: 2,7 => CTR => A9: 6,8
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # A8: 2,7 => UNS
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # A8: 1 => UNS
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # F9: 2,7 => UNS
* INC # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # F9: 3,5 => UNS
* PRF # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 # E8: 3,7 => SOL
* STA # C5: 9 + F4: 2,5,8 + C3: 2,3,4 + C7: 4 + A9: 6,8 + E8: 3,7
* CNT  14 HDP CHAINS /  15 HYP OPENED