Analysis of xx-ph-00009369-cy4-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...9......5..69..5....46....4....3.....2...1.9...85.....1...7.....3...2 initial

Autosolve

position: 98.7.....6...9......5..69..5....46....4....3.....2...1.9...85.....1...7.....3...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 C4,C6: 9..:

* DIS # C4: 9 # I8: 3,8 => CTR => I8: 4,6,9
* DIS # C4: 9 + I8: 4,6,9 # H9: 1,8 => CTR => H9: 4,6,9
* DIS # C4: 9 + I8: 4,6,9 + H9: 4,6,9 # E5: 1,7 => CTR => E5: 5,6,8
* PRF # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 # F5: 5,9 => SOL
* STA # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 + F5: 5,9
* CNT   4 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

98.7.....6...9......5..69..5....46....4....3.....2...1.9...85.....1...7.....3...2 initial
98.7.....6...9......5..69..5....46....4....3.....2...1.9...85.....1...7.....3...2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G5: 2.. / H4 = 2  =>  1 pairs (_) / G5 = 2  =>  1 pairs (_)
D7,F8: 2.. / D7 = 2  =>  1 pairs (_) / F8 = 2  =>  3 pairs (_)
G6,H6: 4.. / G6 = 4  =>  2 pairs (_) / H6 = 4  =>  3 pairs (_)
I5,H6: 5.. / I5 = 5  =>  1 pairs (_) / H6 = 5  =>  2 pairs (_)
B8,B9: 5.. / B8 = 5  =>  2 pairs (_) / B9 = 5  =>  1 pairs (_)
H1,I1: 6.. / H1 = 6  =>  1 pairs (_) / I1 = 6  =>  1 pairs (_)
E7,F9: 7.. / E7 = 7  =>  2 pairs (_) / F9 = 7  =>  1 pairs (_)
C4,C6: 9.. / C4 = 9  =>  7 pairs (_) / C6 = 9  =>  0 pairs (_)
I8,H9: 9.. / I8 = 9  =>  3 pairs (_) / H9 = 9  =>  2 pairs (_)
F8,I8: 9.. / F8 = 9  =>  2 pairs (_) / I8 = 9  =>  3 pairs (_)
* DURATION: 0:00:05.809533  START: 05:43:23.133242  END: 05:43:28.942775 2020-12-01
* CP COUNT: (10)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,C6: 9.. / C4 = 9 ==>  0 pairs (*) / C6 = 9  =>  0 pairs (X)
* DURATION: 0:00:21.975950  START: 05:43:28.943385  END: 05:43:50.919335 2020-12-01
* REASONING C4,C6: 9..
* DIS # C4: 9 # I8: 3,8 => CTR => I8: 4,6,9
* DIS # C4: 9 + I8: 4,6,9 # H9: 1,8 => CTR => H9: 4,6,9
* DIS # C4: 9 + I8: 4,6,9 + H9: 4,6,9 # E5: 1,7 => CTR => E5: 5,6,8
* PRF # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 # F5: 5,9 => SOL
* STA # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 + F5: 5,9
* CNT   4 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

9369;cy4;GP;22;11.30;11.30;7.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,C6: 9..:

* INC # C4: 9 # D6: 3,8 => UNS
* INC # C4: 9 # D6: 5,6,9 => UNS
* INC # C4: 9 # D2: 3,8 => UNS
* INC # C4: 9 # D3: 3,8 => UNS
* INC # C4: 9 # G5: 2,8 => UNS
* INC # C4: 9 # G5: 7 => UNS
* INC # C4: 9 # H2: 2,8 => UNS
* INC # C4: 9 # H3: 2,8 => UNS
* INC # C4: 9 # G5: 7,8 => UNS
* INC # C4: 9 # G5: 2 => UNS
* INC # C4: 9 # E4: 7,8 => UNS
* INC # C4: 9 # E4: 1 => UNS
* INC # C4: 9 # I2: 7,8 => UNS
* INC # C4: 9 # I3: 7,8 => UNS
* INC # C4: 9 # D5: 5,9 => UNS
* INC # C4: 9 # F5: 5,9 => UNS
* INC # C4: 9 # D6: 5,9 => UNS
* INC # C4: 9 # F6: 5,9 => UNS
* DIS # C4: 9 # I8: 3,8 => CTR => I8: 4,6,9
* INC # C4: 9 + I8: 4,6,9 # A8: 3,8 => UNS
* INC # C4: 9 + I8: 4,6,9 # C8: 3,8 => UNS
* INC # C4: 9 + I8: 4,6,9 # G2: 3,8 => UNS
* INC # C4: 9 + I8: 4,6,9 # G2: 1,2,7 => UNS
* DIS # C4: 9 + I8: 4,6,9 # H9: 1,8 => CTR => H9: 4,6,9
* INC # C4: 9 + I8: 4,6,9 + H9: 4,6,9 # A9: 1,8 => UNS
* INC # C4: 9 + I8: 4,6,9 + H9: 4,6,9 # C9: 1,8 => UNS
* DIS # C4: 9 + I8: 4,6,9 + H9: 4,6,9 # E5: 1,7 => CTR => E5: 5,6,8
* INC # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 # F5: 1,7 => UNS
* INC # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 # F5: 1,7 => UNS
* PRF # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 # F5: 5,9 => SOL
* STA # C4: 9 + I8: 4,6,9 + H9: 4,6,9 + E5: 5,6,8 + F5: 5,9
* CNT  30 HDP CHAINS /  31 HYP OPENED