Analysis of xx-ph-00018454-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.5..9.4...3......64..9.......2.41..98..5......4..2......1..3 initial

Autosolve

position: 98.7.....6.....7....7.5..9.4...3......64..9.......2.41..98..5......4..29.....1..3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000021

List of important HDP chains detected for B7,I7: 4..:

* DIS # B7: 4 # H7: 6,7 => CTR => H7: 1
* DIS # B7: 4 + H7: 1 # G4: 6,8 => CTR => G4: 2
* PRF # B7: 4 + H7: 1 + G4: 2 # G6: 6,8 => SOL
* STA # B7: 4 + H7: 1 + G4: 2 + G6: 6,8
* CNT   3 HDP CHAINS /  20 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.....7....7.5..9.4...3......64..9.......2.41..98..5......4..2......1..3 initial
98.7.....6.....7....7.5..9.4...3......64..9.......2.41..98..5......4..29.....1..3 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  1 pairs (_) / E5 = 1  =>  1 pairs (_)
H7,G8: 1.. / H7 = 1  =>  1 pairs (_) / G8 = 1  =>  1 pairs (_)
H5,G6: 3.. / H5 = 3  =>  1 pairs (_) / G6 = 3  =>  1 pairs (_)
I7,G9: 4.. / I7 = 4  =>  1 pairs (_) / G9 = 4  =>  1 pairs (_)
B7,I7: 4.. / B7 = 4  =>  1 pairs (_) / I7 = 4  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  1 pairs (_)
D9,E9: 9.. / D9 = 9  =>  2 pairs (_) / E9 = 9  =>  0 pairs (_)
F2,F4: 9.. / F2 = 9  =>  0 pairs (_) / F4 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.616375  START: 00:15:46.232724  END: 00:15:52.849099 2020-12-06
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D9,E9: 9.. / D9 = 9 ==>  2 pairs (_) / E9 = 9 ==>  0 pairs (_)
B7,I7: 4.. / B7 = 4 ==>  0 pairs (*) / I7 = 4  =>  0 pairs (X)
* DURATION: 0:00:23.457623  START: 00:15:52.850114  END: 00:16:16.307737 2020-12-06
* REASONING B7,I7: 4..
* DIS # B7: 4 # H7: 6,7 => CTR => H7: 1
* DIS # B7: 4 + H7: 1 # G4: 6,8 => CTR => G4: 2
* PRF # B7: 4 + H7: 1 + G4: 2 # G6: 6,8 => SOL
* STA # B7: 4 + H7: 1 + G4: 2 + G6: 6,8
* CNT   3 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

18454;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 D9,E9: 9..:

* INC # D9: 9 # D3: 1,6 => UNS
* INC # D9: 9 # D3: 2,3 => UNS
* INC # D9: 9 # G1: 1,6 => UNS
* INC # D9: 9 # H1: 1,6 => UNS
* INC # D9: 9 # D4: 5,6 => UNS
* INC # D9: 9 # F4: 5,6 => UNS
* INC # D9: 9 # D8: 5,6 => UNS
* INC # D9: 9 # D8: 3 => UNS
* INC # D9: 9 => UNS
* INC # E9: 9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B7,I7: 4..:

* DIS # B7: 4 # H7: 6,7 => CTR => H7: 1
* INC # B7: 4 + H7: 1 # H9: 6,7 => UNS
* INC # B7: 4 + H7: 1 # H9: 6,7 => UNS
* INC # B7: 4 + H7: 1 # H9: 8 => UNS
* INC # B7: 4 + H7: 1 # E7: 6,7 => UNS
* INC # B7: 4 + H7: 1 # F7: 6,7 => UNS
* INC # B7: 4 + H7: 1 # I4: 6,7 => UNS
* INC # B7: 4 + H7: 1 # I4: 2,5,8 => UNS
* INC # B7: 4 + H7: 1 # H9: 6,7 => UNS
* INC # B7: 4 + H7: 1 # H9: 8 => UNS
* INC # B7: 4 + H7: 1 # E7: 6,7 => UNS
* INC # B7: 4 + H7: 1 # F7: 6,7 => UNS
* INC # B7: 4 + H7: 1 # I4: 6,7 => UNS
* INC # B7: 4 + H7: 1 # I4: 2,5,8 => UNS
* INC # B7: 4 + H7: 1 # H9: 6,8 => UNS
* INC # B7: 4 + H7: 1 # H9: 7 => UNS
* INC # B7: 4 + H7: 1 # G3: 6,8 => UNS
* DIS # B7: 4 + H7: 1 # G4: 6,8 => CTR => G4: 2
* PRF # B7: 4 + H7: 1 + G4: 2 # G6: 6,8 => SOL
* STA # B7: 4 + H7: 1 + G4: 2 + G6: 6,8
* CNT  19 HDP CHAINS /  20 HYP OPENED