Analysis of xx-ph-00018580-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....97...7.5...6.4..3......96...5......21....85...9.....4...2.....13.. initial

Autosolve

position: 98.7.....6.....97...7.5...6.4..35.....96...5......21....85...9.....4...2.....13.. 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 D4,I4: 9..:

* DIS # D4: 9 # D2: 4,8 => CTR => D2: 1,2,3
* DIS # D4: 9 + D2: 1,2,3 # D3: 4,8 => CTR => D3: 1,2,3
* DIS # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # E7: 7 => CTR => E7: 2,6
* PRF # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # F1: 6 => SOL
* STA # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 + F1: 6
* CNT   4 HDP CHAINS /  30 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.....97...7.5...6.4..3......96...5......21....85...9.....4...2.....13.. initial
98.7.....6.....97...7.5...6.4..35.....96...5......21....85...9.....4...2.....13.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  2 pairs (_) / E5 = 1  =>  3 pairs (_)
I7,H8: 1.. / I7 = 1  =>  1 pairs (_) / H8 = 1  =>  1 pairs (_)
F5,D6: 4.. / F5 = 4  =>  4 pairs (_) / D6 = 4  =>  1 pairs (_)
G8,I9: 5.. / G8 = 5  =>  1 pairs (_) / I9 = 5  =>  0 pairs (_)
G1,G8: 5.. / G1 = 5  =>  0 pairs (_) / G8 = 5  =>  1 pairs (_)
E1,F1: 6.. / E1 = 6  =>  2 pairs (_) / F1 = 6  =>  2 pairs (_)
D3,F3: 9.. / D3 = 9  =>  4 pairs (_) / F3 = 9  =>  0 pairs (_)
I4,I6: 9.. / I4 = 9  =>  1 pairs (_) / I6 = 9  =>  7 pairs (_)
B8,B9: 9.. / B8 = 9  =>  1 pairs (_) / B9 = 9  =>  3 pairs (_)
D4,I4: 9.. / D4 = 9  =>  7 pairs (_) / I4 = 9  =>  1 pairs (_)
E6,E9: 9.. / E6 = 9  =>  2 pairs (_) / E9 = 9  =>  3 pairs (_)
F3,F8: 9.. / F3 = 9  =>  0 pairs (_) / F8 = 9  =>  4 pairs (_)
* DURATION: 0:00:07.837729  START: 02:46:41.522925  END: 02:46:49.360654 2020-12-06
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,I4: 9.. / D4 = 9 ==>  0 pairs (*) / I4 = 9  =>  0 pairs (X)
* DURATION: 0:00:25.069104  START: 02:46:49.361497  END: 02:47:14.430601 2020-12-06
* REASONING D4,I4: 9..
* DIS # D4: 9 # D2: 4,8 => CTR => D2: 1,2,3
* DIS # D4: 9 + D2: 1,2,3 # D3: 4,8 => CTR => D3: 1,2,3
* DIS # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # E7: 7 => CTR => E7: 2,6
* PRF # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # F1: 6 => SOL
* STA # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 + F1: 6
* CNT   4 HDP CHAINS /  30 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

18580;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,I4: 9..:

* INC # D4: 9 # E7: 2,6 => UNS
* INC # D4: 9 # E7: 7 => UNS
* INC # D4: 9 # D2: 2,8 => UNS
* INC # D4: 9 # D3: 2,8 => UNS
* INC # D4: 9 # F5: 4,8 => UNS
* INC # D4: 9 # F5: 7 => UNS
* INC # D4: 9 # H6: 4,8 => UNS
* INC # D4: 9 # H6: 3,6 => UNS
* DIS # D4: 9 # D2: 4,8 => CTR => D2: 1,2,3
* DIS # D4: 9 + D2: 1,2,3 # D3: 4,8 => CTR => D3: 1,2,3
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # A6: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # A6: 3,5 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # G4: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # G5: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # I5: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # A4: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # A4: 1,2 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # I9: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # I9: 4,5 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # E7: 2,6 => UNS
* DIS # D4: 9 + D2: 1,2,3 + D3: 1,2,3 # E7: 7 => CTR => E7: 2,6
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # G4: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # G4: 2,6 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # A4: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # A4: 1,2 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # I9: 7,8 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # I9: 4,5 => UNS
* INC # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # F1: 3,4 => UNS
* PRF # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 # F1: 6 => SOL
* STA # D4: 9 + D2: 1,2,3 + D3: 1,2,3 + E7: 2,6 + F1: 6
* CNT  29 HDP CHAINS /  30 HYP OPENED