Analysis of xx-ph-00025600-KC40b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...9..5...4.....73..2.9.....1.3...9.....5.3.1...2..9..6......4..7...8.. initial

Autosolve

position: 98.7..6..7...9..5...4...9.73..2.9.....1.3...9.....5.3.1...2..9..6......4..7...8.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C2,A3: 6..:

* DIS # C2: 6 # A5: 2,5 => CTR => A5: 4,6,8
* PRF # C2: 6 + A5: 4,6,8 # A8: 2,5 => SOL
* STA # C2: 6 + A5: 4,6,8 + A8: 2,5
* CNT   2 HDP CHAINS /   5 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...9..5...4.....73..2.9.....1.3...9.....5.3.1...2..9..6......4..7...8.. initial
98.7..6..7...9..5...4...9.73..2.9.....1.3...9.....5.3.1...2..9..6......4..7...8.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 1.. / B2 = 1  =>  0 pairs (_) / B3 = 1  =>  2 pairs (_)
H1,G2: 4.. / H1 = 4  =>  1 pairs (_) / G2 = 4  =>  2 pairs (_)
C1,E1: 5.. / C1 = 5  =>  4 pairs (_) / E1 = 5  =>  1 pairs (_)
C2,A3: 6.. / C2 = 6  =>  2 pairs (_) / A3 = 6  =>  1 pairs (_)
F7,G7: 7.. / F7 = 7  =>  1 pairs (_) / G7 = 7  =>  1 pairs (_)
I2,H3: 8.. / I2 = 8  =>  1 pairs (_) / H3 = 8  =>  0 pairs (_)
B6,C6: 9.. / B6 = 9  =>  0 pairs (_) / C6 = 9  =>  0 pairs (_)
C8,B9: 9.. / C8 = 9  =>  0 pairs (_) / B9 = 9  =>  0 pairs (_)
D8,D9: 9.. / D8 = 9  =>  0 pairs (_) / D9 = 9  =>  0 pairs (_)
C8,D8: 9.. / C8 = 9  =>  0 pairs (_) / D8 = 9  =>  0 pairs (_)
B9,D9: 9.. / B9 = 9  =>  0 pairs (_) / D9 = 9  =>  0 pairs (_)
B6,B9: 9.. / B6 = 9  =>  0 pairs (_) / B9 = 9  =>  0 pairs (_)
C6,C8: 9.. / C6 = 9  =>  0 pairs (_) / C8 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.771616  START: 20:34:41.928493  END: 20:34:49.700109 2020-12-08
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,E1: 5.. / C1 = 5 ==>  4 pairs (_) / E1 = 5 ==>  1 pairs (_)
C2,A3: 6.. / C2 = 6 ==>  0 pairs (*) / A3 = 6  =>  0 pairs (X)
* DURATION: 0:00:23.723184  START: 20:34:49.700811  END: 20:35:13.423995 2020-12-08
* REASONING C2,A3: 6..
* DIS # C2: 6 # A5: 2,5 => CTR => A5: 4,6,8
* PRF # C2: 6 + A5: 4,6,8 # A8: 2,5 => SOL
* STA # C2: 6 + A5: 4,6,8 + A8: 2,5
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

25600;KC40b;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,E1: 5..:

* INC # C1: 5 # C2: 2,6 => UNS
* INC # C1: 5 # C2: 3 => UNS
* INC # C1: 5 # F3: 2,6 => UNS
* INC # C1: 5 # F3: 1,3,8 => UNS
* INC # C1: 5 # A5: 2,6 => UNS
* INC # C1: 5 # A6: 2,6 => UNS
* INC # C1: 5 # F1: 1,4 => UNS
* INC # C1: 5 # D2: 1,4 => UNS
* INC # C1: 5 # F2: 1,4 => UNS
* INC # C1: 5 # H1: 1,4 => UNS
* INC # C1: 5 # H1: 2 => UNS
* INC # C1: 5 # E4: 1,4 => UNS
* INC # C1: 5 # E6: 1,4 => UNS
* INC # C1: 5 # E9: 1,4 => UNS
* INC # C1: 5 # A5: 6,8 => UNS
* INC # C1: 5 # A6: 6,8 => UNS
* INC # C1: 5 # C6: 6,8 => UNS
* INC # C1: 5 # E4: 6,8 => UNS
* INC # C1: 5 # H4: 6,8 => UNS
* INC # C1: 5 # I4: 6,8 => UNS
* INC # C1: 5 # C8: 3,8 => UNS
* INC # C1: 5 # C8: 2,9 => UNS
* INC # C1: 5 # D7: 3,8 => UNS
* INC # C1: 5 # F7: 3,8 => UNS
* INC # C1: 5 => UNS
* INC # E1: 5 # B2: 2,3 => UNS
* INC # E1: 5 # C2: 2,3 => UNS
* INC # E1: 5 # B3: 2,3 => UNS
* INC # E1: 5 # F1: 2,3 => UNS
* INC # E1: 5 # I1: 2,3 => UNS
* INC # E1: 5 # C8: 2,3 => UNS
* INC # E1: 5 # C8: 5,8,9 => UNS
* INC # E1: 5 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for C2,A3: 6..:

* INC # C2: 6 # C1: 2,5 => UNS
* INC # C2: 6 # B3: 2,5 => UNS
* DIS # C2: 6 # A5: 2,5 => CTR => A5: 4,6,8
* PRF # C2: 6 + A5: 4,6,8 # A8: 2,5 => SOL
* STA # C2: 6 + A5: 4,6,8 + A8: 2,5
* CNT   4 HDP CHAINS /   5 HYP OPENED