Analysis of xx-ph-00020749-KZ1C-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7..6..5...8......7..6...4..3......2...8.1...8.9.7....5.6.9.....1....2.....4.3. initial

Autosolve

position: 98.7..6..5...8......7..6...4..3......2...8.1...8.9.7....5.6.9.....1....2.....4.3. 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: 0:00:06.159162

The following important HDP chains were detected:

* PRF # D9: 2,8 # D3: 5 => SOL
* STA # D9: 2,8 + D3: 5
* CNT   1 HDP CHAINS /   7 HYP OPENED

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

Details

Positions

`98.7..6..5...8......7..6...4..3......2...8.1...8.9.7....5.6.9.....1....2.....4.3.`	initial
`98.7..6..5...8......7..6...4..3......2...8.1...8.9.7....5.6.9.....1....2.....4.3.`	autosolve
`983742651516983247247516398471325869329678415658491723135267984864139572792854136`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D7: 2,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,B6: 5.. / B4 = 5  =>  3 pairs (_) / B6 = 5  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  3 pairs (_)
D5,D6: 6.. / D5 = 6  =>  3 pairs (_) / D6 = 6  =>  4 pairs (_)
H8,I9: 6.. / H8 = 6  =>  1 pairs (_) / I9 = 6  =>  1 pairs (_)
H2,I2: 7.. / H2 = 7  =>  2 pairs (_) / I2 = 7  =>  1 pairs (_)
B4,A5: 7.. / B4 = 7  =>  9 pairs (_) / A5 = 7  =>  2 pairs (_)
A5,E5: 7.. / A5 = 7  =>  2 pairs (_) / E5 = 7  =>  9 pairs (_)
D7,D9: 8.. / D7 = 8  =>  1 pairs (_) / D9 = 8  =>  5 pairs (_)
F8,D9: 9.. / F8 = 9  =>  1 pairs (_) / D9 = 9  =>  2 pairs (_)
C5,I5: 9.. / C5 = 9  =>  2 pairs (_) / I5 = 9  =>  2 pairs (_)
F2,F8: 9.. / F2 = 9  =>  2 pairs (_) / F8 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.239192  START: 08:05:02.726719  END: 08:05:08.965911 2020-12-07
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:06.096297  START: 08:05:11.918932  END: 08:05:18.015229 2020-12-07
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00020749-KZ1C-base-pr-002.dot
* REASONING
* PRF # D9: 2,8 # D3: 5 => SOL
* STA # D9: 2,8 + D3: 5
* CNT   1 HDP CHAINS /   7 HYP OPENED

Header Info

20749;KZ1C;GP;23;11.30;11.30;9.20

Solution

position: 983742651516983247247516398471325869329678415658491723135267984864139572792854136 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 # D9: 2,8 => UNS
* INC # D9: 5,9 => UNS
* INC # A7: 2,8 => UNS
* INC # A7: 1,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D9: 2,8 => UNS
* INC # D9: 5,9 => UNS
* INC # A7: 2,8 => UNS
* INC # A7: 1,3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D9: 2,8 => UNS
* INC # D9: 5,9 => UNS
* INC # A7: 2,8 => UNS
* INC # A7: 1,3,7 => UNS
* INC # D9: 2,8 # D3: 4,9 => UNS
* PRF # D9: 2,8 # D3: 5 => SOL
* STA # D9: 2,8 + D3: 5
* CNT   6 HDP CHAINS /   7 HYP OPENED