Analysis of xx-ph-00016418-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.....9....6.5.....6..4..3..3...2..1..73..8....85..6......3..2......1..4 initial

Autosolve

position: 98.7.....7.....9....6.5.....6..4..3..3...2..1..73..8....85..6......3..2......1..4 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for F4,F6: 5..:

* DIS # F4: 5 # H5: 4,5 => CTR => H5: 6,9
* CNT   1 HDP CHAINS /  48 HYP OPENED

List of important HDP chains detected for D3,F3: 9..:

* DIS # D3: 9 # D2: 1,8 => CTR => D2: 2,4,6
* PRF # D3: 9 + D2: 2,4,6 # F6: 6,9 => SOL
* STA # D3: 9 + D2: 2,4,6 + F6: 6,9
* CNT   2 HDP CHAINS /  14 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.....7.....9....6.5.....6..4..3..3...2..1..73..8....85..6......3..2......1..4 initial
98.7.....7.....9....6.5.....6..4..3..3...2..1..73..8....85..6......3..2......1..4 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 1.. / D4 = 1  =>  1 pairs (_) / E6 = 1  =>  2 pairs (_)
H7,G8: 1.. / H7 = 1  =>  1 pairs (_) / G8 = 1  =>  1 pairs (_)
I7,G9: 3.. / I7 = 3  =>  1 pairs (_) / G9 = 3  =>  1 pairs (_)
A7,I7: 3.. / A7 = 3  =>  1 pairs (_) / I7 = 3  =>  1 pairs (_)
F4,F6: 5.. / F4 = 5  =>  4 pairs (_) / F6 = 5  =>  0 pairs (_)
A8,A9: 6.. / A8 = 6  =>  0 pairs (_) / A9 = 6  =>  0 pairs (_)
F4,E5: 7.. / F4 = 7  =>  2 pairs (_) / E5 = 7  =>  2 pairs (_)
A4,A5: 8.. / A4 = 8  =>  2 pairs (_) / A5 = 8  =>  1 pairs (_)
I8,H9: 8.. / I8 = 8  =>  0 pairs (_) / H9 = 8  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.744713  START: 22:58:49.061581  END: 22:58:55.806294 2020-09-29
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,F6: 5.. / F4 = 5 ==>  5 pairs (_) / F6 = 5 ==>  0 pairs (_)
D3,F3: 9.. / D3 = 9 ==>  0 pairs (*) / F3 = 9  =>  0 pairs (X)
* DURATION: 0:00:36.959991  START: 22:58:55.807074  END: 22:59:32.767065 2020-09-29
* REASONING F4,F6: 5..
* DIS # F4: 5 # H5: 4,5 => CTR => H5: 6,9
* CNT   1 HDP CHAINS /  48 HYP OPENED
* REASONING D3,F3: 9..
* DIS # D3: 9 # D2: 1,8 => CTR => D2: 2,4,6
* PRF # D3: 9 + D2: 2,4,6 # F6: 6,9 => SOL
* STA # D3: 9 + D2: 2,4,6 + F6: 6,9
* CNT   2 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

16418;Kz1 b;GP;23;11.50;11.50;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,F6: 5..:

* INC # F4: 5 # D5: 6,9 => UNS
* INC # F4: 5 # E6: 6,9 => UNS
* INC # F4: 5 # H6: 6,9 => UNS
* INC # F4: 5 # I6: 6,9 => UNS
* INC # F4: 5 # F8: 6,9 => UNS
* INC # F4: 5 # F8: 4,7,8 => UNS
* INC # F4: 5 # I4: 2,7 => UNS
* INC # F4: 5 # I4: 9 => UNS
* INC # F4: 5 # G3: 2,7 => UNS
* INC # F4: 5 # G3: 1,3,4 => UNS
* DIS # F4: 5 # H5: 4,5 => CTR => H5: 6,9
* INC # F4: 5 + H5: 6,9 # H6: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # A5: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # C5: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # G1: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # G1: 1,2,3 => UNS
* INC # F4: 5 + H5: 6,9 # D9: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # E9: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # B7: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # B7: 1,4,7 => UNS
* INC # F4: 5 + H5: 6,9 # D5: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # E6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # I6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # F8: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # F8: 4,7,8 => UNS
* INC # F4: 5 + H5: 6,9 # I4: 2,7 => UNS
* INC # F4: 5 + H5: 6,9 # I4: 9 => UNS
* INC # F4: 5 + H5: 6,9 # G3: 2,7 => UNS
* INC # F4: 5 + H5: 6,9 # G3: 1,3,4 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # A5: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # C5: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # G1: 4,5 => UNS
* INC # F4: 5 + H5: 6,9 # G1: 1,2,3 => UNS
* INC # F4: 5 + H5: 6,9 # H6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # I6: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # D5: 6,9 => UNS
* INC # F4: 5 + H5: 6,9 # D5: 8 => UNS
* INC # F4: 5 + H5: 6,9 # D9: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # E9: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # B7: 2,9 => UNS
* INC # F4: 5 + H5: 6,9 # B7: 1,4,7 => UNS
* INC # F4: 5 + H5: 6,9 => UNS
* INC # F6: 5 => UNS
* CNT  48 HDP CHAINS /  48 HYP OPENED

Full list of HDP chains traversed for D3,F3: 9..:

* INC # D3: 9 # A4: 1,8 => UNS
* INC # D3: 9 # A4: 2,5 => UNS
* DIS # D3: 9 # D2: 1,8 => CTR => D2: 2,4,6
* INC # D3: 9 + D2: 2,4,6 # E5: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # E5: 7,9 => UNS
* INC # D3: 9 + D2: 2,4,6 # D8: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # D9: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # E5: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # E5: 7,9 => UNS
* INC # D3: 9 + D2: 2,4,6 # D8: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # D9: 6,8 => UNS
* INC # D3: 9 + D2: 2,4,6 # E5: 6,9 => UNS
* PRF # D3: 9 + D2: 2,4,6 # F6: 6,9 => SOL
* STA # D3: 9 + D2: 2,4,6 + F6: 6,9
* CNT  13 HDP CHAINS /  14 HYP OPENED