Analysis of xx-ph-00018428-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.5..8.4...3..2...89..5.......2..4.1...5.....98..6......1...3 initial

Autosolve

position: 98.7.....6.....7....7.5..8.4...3..2...89..5.......2..4.1...5.....98..6......1...3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for F2,F4: 8..:

* DIS # F4: 8 # B6: 6,7 => CTR => B6: 3,5,9
* DIS # F4: 8 + B6: 3,5,9 # H9: 4,7 => CTR => H9: 5,9
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 # I4: 1,9 => CTR => I4: 6,7
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # G9: 9 => CTR => G9: 2,4
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 # C7: 2,4 => CTR => C7: 3,6
* PRF # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 + C7: 3,6 => SOL
* STA F4: 8
* CNT   6 HDP CHAINS /  36 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..8.4...3..2...89..5.......2..4.1...5.....98..6......1...3 initial
98.7.....6.....7....7.5..8.4...3..2...89..5.......2..4.1...5.....98..6......1...3 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H8,I8: 1.. / H8 = 1  =>  0 pairs (_) / I8 = 1  =>  1 pairs (_)
A5,B5: 2.. / A5 = 2  =>  1 pairs (_) / B5 = 2  =>  1 pairs (_)
D7,F8: 3.. / D7 = 3  =>  1 pairs (_) / F8 = 3  =>  0 pairs (_)
E5,F5: 4.. / E5 = 4  =>  2 pairs (_) / F5 = 4  =>  2 pairs (_)
D4,D6: 5.. / D4 = 5  =>  2 pairs (_) / D6 = 5  =>  1 pairs (_)
E2,F2: 8.. / E2 = 8  =>  4 pairs (_) / F2 = 8  =>  0 pairs (_)
F4,E6: 8.. / F4 = 8  =>  4 pairs (_) / E6 = 8  =>  0 pairs (_)
A7,A9: 8.. / A7 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
E6,G6: 8.. / E6 = 8  =>  0 pairs (_) / G6 = 8  =>  4 pairs (_)
A9,G9: 8.. / A9 = 8  =>  0 pairs (_) / G9 = 8  =>  1 pairs (_)
E2,E6: 8.. / E2 = 8  =>  4 pairs (_) / E6 = 8  =>  0 pairs (_)
F2,F4: 8.. / F2 = 8  =>  0 pairs (_) / F4 = 8  =>  4 pairs (_)
I4,I7: 8.. / I4 = 8  =>  1 pairs (_) / I7 = 8  =>  0 pairs (_)
B4,B6: 9.. / B4 = 9  =>  1 pairs (_) / B6 = 9  =>  0 pairs (_)
E7,F9: 9.. / E7 = 9  =>  1 pairs (_) / F9 = 9  =>  0 pairs (_)
E2,E7: 9.. / E2 = 9  =>  0 pairs (_) / E7 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.926233  START: 23:25:49.179558  END: 23:25:59.105791 2020-12-05
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F4: 8.. / F2 = 8  =>  0 pairs (X) / F4 = 8 ==>  0 pairs (*)
* DURATION: 0:00:28.596204  START: 23:25:59.106380  END: 23:26:27.702584 2020-12-05
* REASONING F2,F4: 8..
* DIS # F4: 8 # B6: 6,7 => CTR => B6: 3,5,9
* DIS # F4: 8 + B6: 3,5,9 # H9: 4,7 => CTR => H9: 5,9
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 # I4: 1,9 => CTR => I4: 6,7
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # G9: 9 => CTR => G9: 2,4
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 # C7: 2,4 => CTR => C7: 3,6
* PRF # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 + C7: 3,6 => SOL
* STA F4: 8
* CNT   6 HDP CHAINS /  36 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

18428;KZ1C;GP;23;11.30;11.30;10.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F4: 8..:

* INC # F4: 8 # E5: 6,7 => UNS
* INC # F4: 8 # F5: 6,7 => UNS
* DIS # F4: 8 # B6: 6,7 => CTR => B6: 3,5,9
* INC # F4: 8 + B6: 3,5,9 # H6: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 # H6: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 # H6: 1,3,9 => UNS
* INC # F4: 8 + B6: 3,5,9 # E5: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 # F5: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 # H6: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 # H6: 1,3,9 => UNS
* INC # F4: 8 + B6: 3,5,9 # I4: 1,9 => UNS
* INC # F4: 8 + B6: 3,5,9 # H6: 1,9 => UNS
* INC # F4: 8 + B6: 3,5,9 # G3: 1,9 => UNS
* INC # F4: 8 + B6: 3,5,9 # G3: 2,3,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # G9: 2,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # G9: 9 => UNS
* INC # F4: 8 + B6: 3,5,9 # C7: 2,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # D7: 2,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # G1: 2,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # G3: 2,4 => UNS
* INC # F4: 8 + B6: 3,5,9 # H8: 4,7 => UNS
* DIS # F4: 8 + B6: 3,5,9 # H9: 4,7 => CTR => H9: 5,9
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # H8: 4,7 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # H8: 1,5 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # E5: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # F5: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # H6: 6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 # H6: 1,3,9 => UNS
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 # I4: 1,9 => CTR => I4: 6,7
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # H6: 1,9 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # H6: 1,9 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # H6: 3,6,7 => UNS
* INC # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # G9: 2,4 => UNS
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 # G9: 9 => CTR => G9: 2,4
* DIS # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 # C7: 2,4 => CTR => C7: 3,6
* PRF # F4: 8 + B6: 3,5,9 + H9: 5,9 + I4: 6,7 + G9: 2,4 + C7: 3,6 => SOL
* STA F4: 8
* CNT  36 HDP CHAINS /  36 HYP OPENED