Analysis of xx-ph-00015090-kz1a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...5..9...4.....75....3....2..1.......9.5.2.1...9..3..7......8..6...4.. initial

Autosolve

position: 98.7..6..7...5..9...4..9..75....3....2..1.......9.5.2.1...9..3..7......8..6...4.. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:05.870792

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for B7,A8: 4..:

* PRF # A8: 4 # H4: 1,4 => SOL
* STA # A8: 4 + H4: 1,4
* CNT   1 HDP CHAINS /   6 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...5..9...4.....75....3....2..1.......9.5.2.1...9..3..7......8..6...4.. initial
98.7..6..7...5..9...4..9..75....3....2..1.......9.5.2.1...9..3..7......8..6...4.. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
B7: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E4: 2.. / D4 = 2  =>  1 pairs (_) / E4 = 2  =>  2 pairs (_)
B7,A8: 4.. / B7 = 4  =>  1 pairs (_) / A8 = 4  =>  5 pairs (_)
C1,B3: 5.. / C1 = 5  =>  3 pairs (_) / B3 = 5  =>  3 pairs (_)
I7,H8: 6.. / I7 = 6  =>  2 pairs (_) / H8 = 6  =>  2 pairs (_)
G7,H9: 7.. / G7 = 7  =>  2 pairs (_) / H9 = 7  =>  2 pairs (_)
F7,G7: 7.. / F7 = 7  =>  2 pairs (_) / G7 = 7  =>  2 pairs (_)
C7,A9: 8.. / C7 = 8  =>  2 pairs (_) / A9 = 8  =>  2 pairs (_)
C8,B9: 9.. / C8 = 9  =>  2 pairs (_) / B9 = 9  =>  1 pairs (_)
G8,I9: 9.. / G8 = 9  =>  1 pairs (_) / I9 = 9  =>  2 pairs (_)
C8,G8: 9.. / C8 = 9  =>  2 pairs (_) / G8 = 9  =>  1 pairs (_)
B9,I9: 9.. / B9 = 9  =>  1 pairs (_) / I9 = 9  =>  2 pairs (_)
B4,B9: 9.. / B4 = 9  =>  2 pairs (_) / B9 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.034513  START: 14:51:29.730277  END: 14:51:37.764790 2020-12-03
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,A8: 4.. / B7 = 4  =>  0 pairs (X) / A8 = 4 ==>  0 pairs (*)
* DURATION: 0:00:12.623308  START: 14:51:45.522640  END: 14:51:58.145948 2020-12-03
* REASONING B7,A8: 4..
* PRF # A8: 4 # H4: 1,4 => SOL
* STA # A8: 4 + H4: 1,4
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

15090;kz1a;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D7: 4,5 => UNS
* INC # D7: 2,6,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 4,5 => UNS
* INC # D7: 2,6,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 4,5 => UNS
* INC # D7: 2,6,8 => UNS
* INC # D7: 4,5 # A9: 2,8 => UNS
* INC # D7: 4,5 # A9: 3 => UNS
* INC # D7: 4,5 # F7: 2,8 => UNS
* INC # D7: 4,5 # F7: 6,7 => UNS
* INC # D7: 4,5 # D8: 4,5 => UNS
* INC # D7: 4,5 # D8: 1,2,3,6 => UNS
* INC # D7: 4,5 # F7: 2,7 => UNS
* INC # D7: 4,5 # F7: 6,8 => UNS
* INC # D7: 4,5 # F7: 2,6 => UNS
* INC # D7: 4,5 # F7: 7,8 => UNS
* INC # D7: 4,5 => UNS
* INC # D7: 2,6,8 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,A8: 4..:

* INC # A8: 4 # I1: 1,4 => UNS
* INC # A8: 4 # I2: 1,4 => UNS
* INC # A8: 4 # F1: 1,4 => UNS
* INC # A8: 4 # F1: 2 => UNS
* PRF # A8: 4 # H4: 1,4 => SOL
* STA # A8: 4 + H4: 1,4
* CNT   5 HDP CHAINS /   6 HYP OPENED