Analysis of xx-ph-00016586-Kz1_b-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: 98.7..6....5.4.........9.3.6.....8...3.....9...4.2...15...7.....4...1..7..72.4... initial

Autosolve

position: 98.7..6....5.4....4....9.3.6.....8...3.....9...4.2...15...7.....4...1..7..72.4... autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:12.336472

The following important HDP chains were detected:

* DIS # A5: 7,8 # C1: 1,2 => CTR => C1: 3
* PRF # A5: 7,8 + C1: 3 # C3: 1,2 => SOL
* STA # A5: 7,8 + C1: 3 + C3: 1,2
* CNT   2 HDP CHAINS /  11 HYP OPENED

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

Details

Positions

`98.7..6....5.4.........9.3.6.....8...3.....9...4.2...15...7.....4...1..7..72.4...`	initial
`98.7..6....5.4....4....9.3.6.....8...3.....9...4.2...15...7.....4...1..7..72.4...`	autosolve
`983712654275643918461859732619437825732185496854926371526378149348591267197264583`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A6: 7,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 2.. / F1 = 2  =>  3 pairs (_) / F2 = 2  =>  3 pairs (_)
C1,A2: 3.. / C1 = 3  =>  3 pairs (_) / A2 = 3  =>  5 pairs (_)
I4,G6: 3.. / I4 = 3  =>  3 pairs (_) / G6 = 3  =>  1 pairs (_)
H1,I1: 4.. / H1 = 4  =>  2 pairs (_) / I1 = 4  =>  1 pairs (_)
D4,D5: 4.. / D4 = 4  =>  1 pairs (_) / D5 = 4  =>  1 pairs (_)
G5,G7: 4.. / G5 = 4  =>  1 pairs (_) / G7 = 4  =>  1 pairs (_)
B4,B6: 5.. / B4 = 5  =>  3 pairs (_) / B6 = 5  =>  3 pairs (_)
I5,H6: 6.. / I5 = 6  =>  2 pairs (_) / H6 = 6  =>  1 pairs (_)
B3,G3: 7.. / B3 = 7  =>  2 pairs (_) / G3 = 7  =>  2 pairs (_)
G2,I2: 9.. / G2 = 9  =>  2 pairs (_) / I2 = 9  =>  1 pairs (_)
B6,D6: 9.. / B6 = 9  =>  4 pairs (_) / D6 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.407928  START: 22:28:24.520350  END: 22:28:32.928278 2020-12-04
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:12.257516  START: 22:28:36.759692  END: 22:28:49.017208 2020-12-04
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00016586-Kz1_b-base-pr-002.dot
* REASONING
* DIS # A5: 7,8 # C1: 1,2 => CTR => C1: 3
* PRF # A5: 7,8 + C1: 3 # C3: 1,2 => SOL
* STA # A5: 7,8 + C1: 3 + C3: 1,2
* CNT   2 HDP CHAINS /  11 HYP OPENED

Header Info

16586;Kz1 b;GP;23;11.30;1.20;1.20

Solution

position: 983712654275643918461859732619437825732185496854926371526378149348591267197264583 solved

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A5: 7,8 => UNS
* INC # A5: 1,2 => UNS
* INC # F6: 7,8 => UNS
* INC # F6: 3,5,6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 7,8 => UNS
* INC # A5: 1,2 => UNS
* INC # F6: 7,8 => UNS
* INC # F6: 3,5,6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 7,8 => UNS
* INC # A5: 1,2 => UNS
* INC # F6: 7,8 => UNS
* INC # F6: 3,5,6 => UNS
* INC # A5: 7,8 # F5: 7,8 => UNS
* INC # A5: 7,8 # F5: 5,6 => UNS
* INC # A5: 7,8 # B4: 1,2 => UNS
* INC # A5: 7,8 # C4: 1,2 => UNS
* DIS # A5: 7,8 # C1: 1,2 => CTR => C1: 3
* PRF # A5: 7,8 + C1: 3 # C3: 1,2 => SOL
* STA # A5: 7,8 + C1: 3 + C3: 1,2
* CNT  10 HDP CHAINS /  11 HYP OPENED