Analysis of xx-ph-00000667-913-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1...5..8.....89..6...7..........3..4.6....9....52...1.5...2..7.7.28......4....3.. initial

Autosolve

position: 1...5..8.....89..6...7..........3..4.6....9....52...1.5...2..7.7.28......4....3.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for E9,F9: 7..:

* DIS # E9: 7 # E8: 1,4 => CTR => E8: 3,6,9
* CNT   1 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for E3,E8: 3..:

* DIS # E3: 3 # C1: 4,6 => CTR => C1: 3,7,9
* DIS # E3: 3 + C1: 3,7,9 # F1: 2 => CTR => F1: 4,6
* PRF # E3: 3 + C1: 3,7,9 + F1: 4,6 # F6: 4,6 => SOL
* STA # E3: 3 + C1: 3,7,9 + F1: 4,6 + F6: 4,6
* CNT   3 HDP CHAINS /   7 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...5..8.....89..6...7..........3..4.6....9....52...1.5...2..7.7.28......4....3.. initial
1...5..8.....89..6...7..........3..4.6....9....52...1.5...2..7.7.28......4....3.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D2,G2: 1.. / D2 = 1  =>  1 pairs (_) / G2 = 1  =>  1 pairs (_)
F1,F3: 2.. / F1 = 2  =>  1 pairs (_) / F3 = 2  =>  1 pairs (_)
H9,I9: 2.. / H9 = 2  =>  2 pairs (_) / I9 = 2  =>  0 pairs (_)
D7,E8: 3.. / D7 = 3  =>  2 pairs (_) / E8 = 3  =>  1 pairs (_)
B8,E8: 3.. / B8 = 3  =>  2 pairs (_) / E8 = 3  =>  1 pairs (_)
E3,E8: 3.. / E3 = 3  =>  2 pairs (_) / E8 = 3  =>  1 pairs (_)
B2,B3: 5.. / B2 = 5  =>  0 pairs (_) / B3 = 5  =>  0 pairs (_)
A3,A9: 6.. / A3 = 6  =>  1 pairs (_) / A9 = 6  =>  0 pairs (_)
E9,F9: 7.. / E9 = 7  =>  3 pairs (_) / F9 = 7  =>  0 pairs (_)
F5,F6: 8.. / F5 = 8  =>  0 pairs (_) / F6 = 8  =>  2 pairs (_)
* DURATION: 0:00:07.841739  START: 01:35:22.234222  END: 01:35:30.075961 2020-11-21
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E9,F9: 7.. / E9 = 7 ==>  3 pairs (_) / F9 = 7 ==>  0 pairs (_)
E3,E8: 3.. / E3 = 3 ==>  0 pairs (*) / E8 = 3  =>  0 pairs (X)
* DURATION: 0:00:32.769973  START: 01:35:30.076768  END: 01:36:02.846741 2020-11-21
* REASONING E9,F9: 7..
* DIS # E9: 7 # E8: 1,4 => CTR => E8: 3,6,9
* CNT   1 HDP CHAINS /  32 HYP OPENED
* REASONING E3,E8: 3..
* DIS # E3: 3 # C1: 4,6 => CTR => C1: 3,7,9
* DIS # E3: 3 + C1: 3,7,9 # F1: 2 => CTR => F1: 4,6
* PRF # E3: 3 + C1: 3,7,9 + F1: 4,6 # F6: 4,6 => SOL
* STA # E3: 3 + C1: 3,7,9 + F1: 4,6 + F6: 4,6
* CNT   3 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

667;913;elev;22;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E9,F9: 7..:

* INC # E9: 7 # D5: 1,4 => UNS
* INC # E9: 7 # D5: 5 => UNS
* INC # E9: 7 # C5: 1,4 => UNS
* INC # E9: 7 # C5: 3,7,8 => UNS
* INC # E9: 7 # E3: 1,4 => UNS
* DIS # E9: 7 # E8: 1,4 => CTR => E8: 3,6,9
* INC # E9: 7 + E8: 3,6,9 # E3: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # E3: 3,6 => UNS
* INC # E9: 7 + E8: 3,6,9 # D5: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # D5: 5 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 3,7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # E3: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # E3: 3,6 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # I5: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # B6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # G6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # I6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # D5: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # D5: 5 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 3,7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # E3: 1,4 => UNS
* INC # E9: 7 + E8: 3,6,9 # E3: 3,6 => UNS
* INC # E9: 7 + E8: 3,6,9 # C5: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # I5: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # B6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # G6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 # I6: 7,8 => UNS
* INC # E9: 7 + E8: 3,6,9 => UNS
* INC # F9: 7 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for E3,E8: 3..:

* INC # E3: 3 # F1: 4,6 => UNS
* INC # E3: 3 # F3: 4,6 => UNS
* DIS # E3: 3 # C1: 4,6 => CTR => C1: 3,7,9
* INC # E3: 3 + C1: 3,7,9 # F1: 4,6 => UNS
* DIS # E3: 3 + C1: 3,7,9 # F1: 2 => CTR => F1: 4,6
* PRF # E3: 3 + C1: 3,7,9 + F1: 4,6 # F6: 4,6 => SOL
* STA # E3: 3 + C1: 3,7,9 + F1: 4,6 + F6: 4,6
* CNT   6 HDP CHAINS /   7 HYP OPENED